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This post was last modified on 29 January 2020

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DU?Mphil?Phd?in?Economics
Topic:?DU_J18_MPHIL_ECO_Topic01
Suppose?A?and?B?are?square?matrices?that?satisfy?AB?+?BA?=?0,?where?0?is?a?square?matrix?of?zeros.?Then?it?must?be?that?[Question?ID?=?5365]
1.? ?[Option?ID?=?21458]
2.? ?[Option?ID?=?21460]

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3.? ?[Option?ID?=?21459]
4.? ?[Option?ID?=?21457]
Correct?Answer?:?
?[Option?ID?=?21457]
Suppose?a?real?valued?function?f?is?defined?for?all?real?numbers?except?0,?and?satisfies?the?following?condition:?f(xy)?=?f(x)?+?f(y)?for?all?x,?y?in

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the?domain.?Consider?the?statements:
f(1)?=?f(?1)?=?0?(i)
f(x)?=?f(?x)?for?every?x?(ii)?[Question?ID?=?5363]
1.?(i)?is?true?and?(ii)?is?false.?[Option?ID?=?21449]
2.?(i)?is?false?and?(ii)?is?true.?[Option?ID?=?21450]

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3.?Both?are?true.?[Option?ID?=?21451]
4.?Both?are?false?[Option?ID?=?21452]
Correct?Answer?:?
Both?are?true.?[Option?ID?=?21451]
Suppose?Frank?can?either?hunt?for?birds?(b)?or?forage?for?wild?berries?(w)?on?his?isolated?island?property.?He?can?catch?two?birds?or?gather

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three?pounds?of?berries?in?an?hour.?He?only?has?12?hours?a?week?to?devote?to?these?activities.?His?utility?function?for?birds?and?berries?is?u(w,b)?=
bw
0.5
.?What?is?the?slope?of?his?production?possibilities?frontier?[Question?ID?=?5338]
1.?2/3?[Option?ID?=?21351]

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2.?3/2?[Option?ID?=?21350]
3.?2/3?[Option?ID?=?21352]
4.?3/2?[Option?ID?=?21349]
Correct?Answer?:?
?2/3?[Option?ID?=?21352]

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Suppose?the?net?cost?of?undertaking?a?venture?is?rupees?1800?if?beta?1?and?the?net?profit?is?rupees?Q?if?beta?is?greater?than?1.?Your?posterior
distribution?of?beta?is?normal?with?mean?2.28?and?variance?unity.?Any?value?of?Q?bigger?than?what?number?entices?you?to?take?this?venture?Note
that?the?critical?values?(z)?corresponding?to?the?following?tail?areas?(alpha)?under?a?standard?normal?are:?alpha=0.10?then?z=1.28?alpha=0.05
then?z=1.645?alpha=0.025?then?z=1.96?alpha=0.01?then?z=2.33?[Question?ID?=?5376]
1.?450?[Option?ID?=?21504]

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2.?300?[Option?ID?=?21503]
3.?200?[Option?ID?=?21502]
4.?100?[Option?ID?=?21501]
Correct?Answer?:?
200?[Option?ID?=?21502]

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Suppose?you?have?a?random?sample?of?100?observations?on?a?variable?x?which?is?distributed?normally?with?mean?14?and?variance?8.?The?sample
average,?xbar,?is?15?and?the?sample?variance?is?7.?Then?the?mean?and?variance?of?the?sampling?distribution?of?xbar?is?[Question?ID?=?5369]
1.?14?and?0.08,?respectively?[Option?ID?=?21476]
2.?14?and?8,?respectively?[Option?ID?=?21475]
3.?15?and?7,?respectively?[Option?ID?=?21473]

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4.?15?and?0.07,?respectively?[Option?ID?=?21474]
Correct?Answer?:?
14?and?0.08,?respectively?[Option?ID?=?21476]
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DU?Mphil?Phd?in?Economics

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Topic:?DU_J18_MPHIL_ECO_Topic01
Suppose?A?and?B?are?square?matrices?that?satisfy?AB?+?BA?=?0,?where?0?is?a?square?matrix?of?zeros.?Then?it?must?be?that?[Question?ID?=?5365]
1.? ?[Option?ID?=?21458]
2.? ?[Option?ID?=?21460]
3.? ?[Option?ID?=?21459]

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4.? ?[Option?ID?=?21457]
Correct?Answer?:?
?[Option?ID?=?21457]
Suppose?a?real?valued?function?f?is?defined?for?all?real?numbers?except?0,?and?satisfies?the?following?condition:?f(xy)?=?f(x)?+?f(y)?for?all?x,?y?in
the?domain.?Consider?the?statements:

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f(1)?=?f(?1)?=?0?(i)
f(x)?=?f(?x)?for?every?x?(ii)?[Question?ID?=?5363]
1.?(i)?is?true?and?(ii)?is?false.?[Option?ID?=?21449]
2.?(i)?is?false?and?(ii)?is?true.?[Option?ID?=?21450]
3.?Both?are?true.?[Option?ID?=?21451]

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4.?Both?are?false?[Option?ID?=?21452]
Correct?Answer?:?
Both?are?true.?[Option?ID?=?21451]
Suppose?Frank?can?either?hunt?for?birds?(b)?or?forage?for?wild?berries?(w)?on?his?isolated?island?property.?He?can?catch?two?birds?or?gather
three?pounds?of?berries?in?an?hour.?He?only?has?12?hours?a?week?to?devote?to?these?activities.?His?utility?function?for?birds?and?berries?is?u(w,b)?=

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bw
0.5
.?What?is?the?slope?of?his?production?possibilities?frontier?[Question?ID?=?5338]
1.?2/3?[Option?ID?=?21351]
2.?3/2?[Option?ID?=?21350]

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3.?2/3?[Option?ID?=?21352]
4.?3/2?[Option?ID?=?21349]
Correct?Answer?:?
?2/3?[Option?ID?=?21352]
Suppose?the?net?cost?of?undertaking?a?venture?is?rupees?1800?if?beta?1?and?the?net?profit?is?rupees?Q?if?beta?is?greater?than?1.?Your?posterior

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distribution?of?beta?is?normal?with?mean?2.28?and?variance?unity.?Any?value?of?Q?bigger?than?what?number?entices?you?to?take?this?venture?Note
that?the?critical?values?(z)?corresponding?to?the?following?tail?areas?(alpha)?under?a?standard?normal?are:?alpha=0.10?then?z=1.28?alpha=0.05
then?z=1.645?alpha=0.025?then?z=1.96?alpha=0.01?then?z=2.33?[Question?ID?=?5376]
1.?450?[Option?ID?=?21504]
2.?300?[Option?ID?=?21503]

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3.?200?[Option?ID?=?21502]
4.?100?[Option?ID?=?21501]
Correct?Answer?:?
200?[Option?ID?=?21502]
Suppose?you?have?a?random?sample?of?100?observations?on?a?variable?x?which?is?distributed?normally?with?mean?14?and?variance?8.?The?sample

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average,?xbar,?is?15?and?the?sample?variance?is?7.?Then?the?mean?and?variance?of?the?sampling?distribution?of?xbar?is?[Question?ID?=?5369]
1.?14?and?0.08,?respectively?[Option?ID?=?21476]
2.?14?and?8,?respectively?[Option?ID?=?21475]
3.?15?and?7,?respectively?[Option?ID?=?21473]
4.?15?and?0.07,?respectively?[Option?ID?=?21474]

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Correct?Answer?:?
14?and?0.08,?respectively?[Option?ID?=?21476]
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Strategy?A?has?an?expected?value?of?10?and?a?standard?deviation?of?3.?Strategy?B?has?an?expected?value?of?10?and?a?standard?deviation?of?5.

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Strategy?C?has?an?expected?value?of?15?and?a?standard?deviation?of?10.?Which?one?of?the?following?statements?is?true?[Question?ID?=?5340]
1.?A?risk?neutral?decision?maker?will?always?prefer?C?to?A?or?B.?[Option?ID?=?21358]
2.?A?risk?seeking?decision?maker?will?always?prefer?C?to?A?or?B.?[Option?ID?=?21359]
3.?A?risk?averse?decision?maker?will?always?prefer?A?to?B,?but?may?prefer?C?to?A.?[Option?ID?=?21357]
4.?All?of?these?[Option?ID?=?21360]

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Correct?Answer?:?
All?of?these?[Option?ID?=?21360]
An?n?gon?is?a?regular?polygon?with?n?equal?sides.?Find?the?number?of?diagonals?(edges?of?an?n?gon?are?not?considered?as?diagonals)?of?a?10?
gon.?[Question?ID?=?5366]
1.?45?diagonals?[Option?ID?=?21464]

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2.?25?diagonals?[Option?ID?=?21462]
3.?20?diagonals?[Option?ID?=?21461]
4.?35?diagonals?[Option?ID?=?21463]
Correct?Answer?:?
35?diagonals?[Option?ID?=?21463]

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The?Nintari?Company?produces?video?game?playing?machines?and?a?second?firm,?Necsega,?owns?exclusive?rights?to?manufacture?games?that?can
be?used?with?the?Nintari?game?machine.?Both?of?these?imperfectly?competitive?firms?are?maximizing?profits.?If?Nintari?buys?Necsega?and?nothing
else?changes,?then?profits?will?be?maximized?if?Nintari?[Question?ID?=?5343]
1.?does?not?change?the?prices?of?game?machines?or?games.?[Option?ID?=?21370]
2.?decreases?the?prices?of?game?machines?and?games.?[Option?ID?=?21369]

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3.?increases?the?prices?of?game?machines?and?games.?[Option?ID?=?21371]
4.?All?of?these?[Option?ID?=?21372]
Correct?Answer?:?
decreases?the?prices?of?game?machines?and?games.?[Option?ID?=?21369]
Consider?an?otherwise?Solovian?economy?with?one?exception:?the?production?function?does?not?exhibit?decreasing?marginal?returns?with?respect

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to?capital.?In?this?case,?which?of?the?following?statement?is?NOT?true?[Question?ID?=?5378]
1.?The?economy?would?grow?perpetually?over?time?and?the?capital?labour?ratio?will?not?converge?to?a?unique?steady?state.?[Option?ID?=?21511]
2.?Per?capita?consumption?would?remain?constant?over?time.?[Option?ID?=?21512]
3.?An?increase?in?the?rate?of?saving?could?lead?to?a?permanent?increase?in?the?rate?of?growth?of?per?capita?income.?[Option?ID?=?21509]
4.?An?increase?in?the?rate?of?growth?of?population?could?lead?to?a?permanent?decrease?in?the?rate?of?growth?of?per?capita?income.?[Option?ID?=?21510]

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Correct?Answer?:?
Per?capita?consumption?would?remain?constant?over?time.?[Option?ID?=?21512]
Consider?the?function?f?mapping?points?of?the?plane?into?the?plane?defined?by?f(x,?y)?=?(x?y,?x?+?y).?The?range?of?this?function?is?[Question?ID
=?5359]
1.?the?45?degree?line.?[Option?ID?=?21433]

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2.?a?ray?through?the?origin?but?not?the?45?degree?line.?[Option?ID?=?21434]
3.?the?entire?plane.?[Option?ID?=?21435]
4.?the?first?and?third?quadrants.?[Option?ID?=?21436]
Correct?Answer?:?
the?entire?plane.?[Option?ID?=?21435]

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Consider?a?firm?using?two?inputs?to?produce?its?output.?It?is?known?that?greater?use?of?both?inputs?increases?output.?Moreover,?for?any
combination?of?positive?input?prices,?the?firm?employs?an?input?combination?of?the?form?(x,?y=?x)?where?>?0?is?a?constant.?Which?of?the?following
functions?represents?this?firm's?technology?[Question?ID?=?5353]
1.?f(x,?y)?=?min{x
>

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,?y}?[Option?ID?=?21409]
2.?f(x,?y)?=?min{?x,?y}?[Option?ID?=?21410]
3.?f(x,?y)?=?min{x,?y
>
}?[Option?ID?=?21412]

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4.?f(x,?y)?=?min{x,?y}?[Option?ID?=?21411]
Correct?Answer?:?
f(x,?y)?=?min{?x,?y}?[Option?ID?=?21410]
The?optimal?combination?of?joint?products?that?are?produced?in?variable?proportions?is?found?where?[Question?ID?=?5345]
1.?the?isorevenue?line?is?tangent?to?the?relevant?total?cost?curve.?[Option?ID?=?21379]

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2.?the?isorevenue?line?is?tangent?to?the?product?transformation?curve.?[Option?ID?=?21378]
3.?None?of?these?[Option?ID?=?21380]
4.?the?marginal?revenue?from?each?product?is?equal?to?the?marginal?cost?of?producing?each?product.?[Option?ID?=?21377]
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DU?Mphil?Phd?in?Economics

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Topic:?DU_J18_MPHIL_ECO_Topic01
Suppose?A?and?B?are?square?matrices?that?satisfy?AB?+?BA?=?0,?where?0?is?a?square?matrix?of?zeros.?Then?it?must?be?that?[Question?ID?=?5365]
1.? ?[Option?ID?=?21458]
2.? ?[Option?ID?=?21460]
3.? ?[Option?ID?=?21459]

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4.? ?[Option?ID?=?21457]
Correct?Answer?:?
?[Option?ID?=?21457]
Suppose?a?real?valued?function?f?is?defined?for?all?real?numbers?except?0,?and?satisfies?the?following?condition:?f(xy)?=?f(x)?+?f(y)?for?all?x,?y?in
the?domain.?Consider?the?statements:

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f(1)?=?f(?1)?=?0?(i)
f(x)?=?f(?x)?for?every?x?(ii)?[Question?ID?=?5363]
1.?(i)?is?true?and?(ii)?is?false.?[Option?ID?=?21449]
2.?(i)?is?false?and?(ii)?is?true.?[Option?ID?=?21450]
3.?Both?are?true.?[Option?ID?=?21451]

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4.?Both?are?false?[Option?ID?=?21452]
Correct?Answer?:?
Both?are?true.?[Option?ID?=?21451]
Suppose?Frank?can?either?hunt?for?birds?(b)?or?forage?for?wild?berries?(w)?on?his?isolated?island?property.?He?can?catch?two?birds?or?gather
three?pounds?of?berries?in?an?hour.?He?only?has?12?hours?a?week?to?devote?to?these?activities.?His?utility?function?for?birds?and?berries?is?u(w,b)?=

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bw
0.5
.?What?is?the?slope?of?his?production?possibilities?frontier?[Question?ID?=?5338]
1.?2/3?[Option?ID?=?21351]
2.?3/2?[Option?ID?=?21350]

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3.?2/3?[Option?ID?=?21352]
4.?3/2?[Option?ID?=?21349]
Correct?Answer?:?
?2/3?[Option?ID?=?21352]
Suppose?the?net?cost?of?undertaking?a?venture?is?rupees?1800?if?beta?1?and?the?net?profit?is?rupees?Q?if?beta?is?greater?than?1.?Your?posterior

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distribution?of?beta?is?normal?with?mean?2.28?and?variance?unity.?Any?value?of?Q?bigger?than?what?number?entices?you?to?take?this?venture?Note
that?the?critical?values?(z)?corresponding?to?the?following?tail?areas?(alpha)?under?a?standard?normal?are:?alpha=0.10?then?z=1.28?alpha=0.05
then?z=1.645?alpha=0.025?then?z=1.96?alpha=0.01?then?z=2.33?[Question?ID?=?5376]
1.?450?[Option?ID?=?21504]
2.?300?[Option?ID?=?21503]

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3.?200?[Option?ID?=?21502]
4.?100?[Option?ID?=?21501]
Correct?Answer?:?
200?[Option?ID?=?21502]
Suppose?you?have?a?random?sample?of?100?observations?on?a?variable?x?which?is?distributed?normally?with?mean?14?and?variance?8.?The?sample

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average,?xbar,?is?15?and?the?sample?variance?is?7.?Then?the?mean?and?variance?of?the?sampling?distribution?of?xbar?is?[Question?ID?=?5369]
1.?14?and?0.08,?respectively?[Option?ID?=?21476]
2.?14?and?8,?respectively?[Option?ID?=?21475]
3.?15?and?7,?respectively?[Option?ID?=?21473]
4.?15?and?0.07,?respectively?[Option?ID?=?21474]

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Correct?Answer?:?
14?and?0.08,?respectively?[Option?ID?=?21476]
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7)?
8)?

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11)?
12)?
Strategy?A?has?an?expected?value?of?10?and?a?standard?deviation?of?3.?Strategy?B?has?an?expected?value?of?10?and?a?standard?deviation?of?5.

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Strategy?C?has?an?expected?value?of?15?and?a?standard?deviation?of?10.?Which?one?of?the?following?statements?is?true?[Question?ID?=?5340]
1.?A?risk?neutral?decision?maker?will?always?prefer?C?to?A?or?B.?[Option?ID?=?21358]
2.?A?risk?seeking?decision?maker?will?always?prefer?C?to?A?or?B.?[Option?ID?=?21359]
3.?A?risk?averse?decision?maker?will?always?prefer?A?to?B,?but?may?prefer?C?to?A.?[Option?ID?=?21357]
4.?All?of?these?[Option?ID?=?21360]

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Correct?Answer?:?
All?of?these?[Option?ID?=?21360]
An?n?gon?is?a?regular?polygon?with?n?equal?sides.?Find?the?number?of?diagonals?(edges?of?an?n?gon?are?not?considered?as?diagonals)?of?a?10?
gon.?[Question?ID?=?5366]
1.?45?diagonals?[Option?ID?=?21464]

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2.?25?diagonals?[Option?ID?=?21462]
3.?20?diagonals?[Option?ID?=?21461]
4.?35?diagonals?[Option?ID?=?21463]
Correct?Answer?:?
35?diagonals?[Option?ID?=?21463]

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The?Nintari?Company?produces?video?game?playing?machines?and?a?second?firm,?Necsega,?owns?exclusive?rights?to?manufacture?games?that?can
be?used?with?the?Nintari?game?machine.?Both?of?these?imperfectly?competitive?firms?are?maximizing?profits.?If?Nintari?buys?Necsega?and?nothing
else?changes,?then?profits?will?be?maximized?if?Nintari?[Question?ID?=?5343]
1.?does?not?change?the?prices?of?game?machines?or?games.?[Option?ID?=?21370]
2.?decreases?the?prices?of?game?machines?and?games.?[Option?ID?=?21369]

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3.?increases?the?prices?of?game?machines?and?games.?[Option?ID?=?21371]
4.?All?of?these?[Option?ID?=?21372]
Correct?Answer?:?
decreases?the?prices?of?game?machines?and?games.?[Option?ID?=?21369]
Consider?an?otherwise?Solovian?economy?with?one?exception:?the?production?function?does?not?exhibit?decreasing?marginal?returns?with?respect

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to?capital.?In?this?case,?which?of?the?following?statement?is?NOT?true?[Question?ID?=?5378]
1.?The?economy?would?grow?perpetually?over?time?and?the?capital?labour?ratio?will?not?converge?to?a?unique?steady?state.?[Option?ID?=?21511]
2.?Per?capita?consumption?would?remain?constant?over?time.?[Option?ID?=?21512]
3.?An?increase?in?the?rate?of?saving?could?lead?to?a?permanent?increase?in?the?rate?of?growth?of?per?capita?income.?[Option?ID?=?21509]
4.?An?increase?in?the?rate?of?growth?of?population?could?lead?to?a?permanent?decrease?in?the?rate?of?growth?of?per?capita?income.?[Option?ID?=?21510]

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Correct?Answer?:?
Per?capita?consumption?would?remain?constant?over?time.?[Option?ID?=?21512]
Consider?the?function?f?mapping?points?of?the?plane?into?the?plane?defined?by?f(x,?y)?=?(x?y,?x?+?y).?The?range?of?this?function?is?[Question?ID
=?5359]
1.?the?45?degree?line.?[Option?ID?=?21433]

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2.?a?ray?through?the?origin?but?not?the?45?degree?line.?[Option?ID?=?21434]
3.?the?entire?plane.?[Option?ID?=?21435]
4.?the?first?and?third?quadrants.?[Option?ID?=?21436]
Correct?Answer?:?
the?entire?plane.?[Option?ID?=?21435]

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Consider?a?firm?using?two?inputs?to?produce?its?output.?It?is?known?that?greater?use?of?both?inputs?increases?output.?Moreover,?for?any
combination?of?positive?input?prices,?the?firm?employs?an?input?combination?of?the?form?(x,?y=?x)?where?>?0?is?a?constant.?Which?of?the?following
functions?represents?this?firm's?technology?[Question?ID?=?5353]
1.?f(x,?y)?=?min{x
>

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,?y}?[Option?ID?=?21409]
2.?f(x,?y)?=?min{?x,?y}?[Option?ID?=?21410]
3.?f(x,?y)?=?min{x,?y
>
}?[Option?ID?=?21412]

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4.?f(x,?y)?=?min{x,?y}?[Option?ID?=?21411]
Correct?Answer?:?
f(x,?y)?=?min{?x,?y}?[Option?ID?=?21410]
The?optimal?combination?of?joint?products?that?are?produced?in?variable?proportions?is?found?where?[Question?ID?=?5345]
1.?the?isorevenue?line?is?tangent?to?the?relevant?total?cost?curve.?[Option?ID?=?21379]

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2.?the?isorevenue?line?is?tangent?to?the?product?transformation?curve.?[Option?ID?=?21378]
3.?None?of?these?[Option?ID?=?21380]
4.?the?marginal?revenue?from?each?product?is?equal?to?the?marginal?cost?of?producing?each?product.?[Option?ID?=?21377]
13)?
14)?

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15)?
16)?
17)?
18)?
19)?

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Correct?Answer?:?
the?isorevenue?line?is?tangent?to?the?product?transformation?curve.?[Option?ID?=?21378]
The?J?curve?describes?the?following?phenomenon:?[Question?ID?=?5383]
1.?A?change?in?nominal?exchange?rates?will?affect?relative?prices?only?in?the?short?run?but?the?effect?will?peter?out?in?the?long?run.?[Option?ID?=?21529]
2.?Depreciation?of?the?domestic?currency?will?worsen?the?trade?balance?in?the?short?run?but?will?then?gradually?improve?later?as?volume?effects?come?to?dominate.

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[Option?ID?=?21530]
3.?An?appreciation?of?the?domestic?currency?will?always?worsen?the?trade?balance.?[Option?ID?=?21531]
4.?An?increase?in?price?level?will?reduce?the?aggregate?demand?only?in?the?short?but?the?effect?will?peter?out?in?the?long?run.?[Option?ID?=?21532]
Correct?Answer?:?
Depreciation?of?the?domestic?currency?will?worsen?the?trade?balance?in?the?short?run?but?will?then?gradually?improve?later?as?volume?effects?come?to?dominate.

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[Option?ID?=?21530]
A?profit?maximising?firm?operating?in?a?perfectly?competitive?market?has?the?cost?function?c(q)?=?100?+?q
<2>
?for?any?q?>?0.?If?the?firm?decides
to?produce?q?=?0,?however,?its?cost?is?0.?The?market?price?is?p.?If?p?=?40,?the?firm?s?optimum?output?is?[Question?ID?=?5348]

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1.?0?[Option?ID?=?21389]
2.?30?[Option?ID?=?21392]
3.?10?[Option?ID?=?21390]
4.?20?[Option?ID?=?21391]
Correct?Answer?:?Full?Marks?Given?to?all?the?candidates

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For?a?system?of?linear?equations?Ax?=?b?with?m?equations?and?n?variables?where?m?>?n?and?b?is?a?given?vector,?the?following?is?true.?[Question
ID?=?5362]
1.?It?can?never?have?a?unique?solution.?[Option?ID?=?21445]
2.?It?has?at?least?a?one?dimensional?solution?space.?[Option?ID?=?21447]
3.?If?Rank(A)?=?n?and?a?solution?exists?it?must?be?unique.?[Option?ID?=?21448]

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4.?It?always?has?at?least?one?solution.?[Option?ID?=?21446]
Correct?Answer?:?
If?Rank(A)?=?n?and?a?solution?exists?it?must?be?unique.?[Option?ID?=?21448]
Given?below?are?the?equations?that?characterise?an?economy?in?the?short?term.
Y=C+I+G?

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C=1000+0.8(Y?T)?
I=1500?
G=2000?
T=1000
A?reduction?in?lump?sum?taxes?from?1000?to?500?will?have?the?following?effect?on?equilibrium?output:?[Question?ID?=?5384]

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1.?it?will?increase?by?1000?units.?[Option?ID?=?21535]
2.?it?will?increase?by?2000?units.?[Option?ID?=?21534]
3.?it?will?increase?by?500?units.?[Option?ID?=?21536]
4.?it?will?increase?by?2500?units.?[Option?ID?=?21533]
Correct?Answer?:?

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it?will?increase?by?2000?units.?[Option?ID?=?21534]
The?optimal?output?of?joint?products?that?are?produced?in?fixed?proportions?is?found?where?[Question?ID?=?5344]
1.?the?marginal?cost?is?equal?to?the?corresponding?price?of?each?product.?[Option?ID?=?21376]
2.?the?horizontal?sum?of?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21374]
3.?the?vertical?sum?of?the?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21373]

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4.?the?marginal?revenue?from?each?product?is?equal?to?the?marginal?cost?of?producing?each?product.?[Option?ID?=?21375]
Correct?Answer?:?
the?vertical?sum?of?the?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21373]
Conditional?convergence?hypothesis?states?that?[Question?ID?=?5387]
1.?poorer?countries?will?always?grow?slower?than?richer?countries.?[Option?ID?=?21546]

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2.?a?country?will?grow?slower?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21548]
3.?a?country?will?grow?faster?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21547]
4.?poorer?countries?will?always?grow?faster?than?richer?countries.?[Option?ID?=?21545]
Correct?Answer?:?
a?country?will?grow?faster?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21547]

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FirstRanker.com - FirstRanker's Choice
1)?
2)?
3)?
4)?

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5)?
DU?Mphil?Phd?in?Economics
Topic:?DU_J18_MPHIL_ECO_Topic01
Suppose?A?and?B?are?square?matrices?that?satisfy?AB?+?BA?=?0,?where?0?is?a?square?matrix?of?zeros.?Then?it?must?be?that?[Question?ID?=?5365]
1.? ?[Option?ID?=?21458]

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2.? ?[Option?ID?=?21460]
3.? ?[Option?ID?=?21459]
4.? ?[Option?ID?=?21457]
Correct?Answer?:?
?[Option?ID?=?21457]

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Suppose?a?real?valued?function?f?is?defined?for?all?real?numbers?except?0,?and?satisfies?the?following?condition:?f(xy)?=?f(x)?+?f(y)?for?all?x,?y?in
the?domain.?Consider?the?statements:
f(1)?=?f(?1)?=?0?(i)
f(x)?=?f(?x)?for?every?x?(ii)?[Question?ID?=?5363]
1.?(i)?is?true?and?(ii)?is?false.?[Option?ID?=?21449]

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2.?(i)?is?false?and?(ii)?is?true.?[Option?ID?=?21450]
3.?Both?are?true.?[Option?ID?=?21451]
4.?Both?are?false?[Option?ID?=?21452]
Correct?Answer?:?
Both?are?true.?[Option?ID?=?21451]

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Suppose?Frank?can?either?hunt?for?birds?(b)?or?forage?for?wild?berries?(w)?on?his?isolated?island?property.?He?can?catch?two?birds?or?gather
three?pounds?of?berries?in?an?hour.?He?only?has?12?hours?a?week?to?devote?to?these?activities.?His?utility?function?for?birds?and?berries?is?u(w,b)?=
bw
0.5
.?What?is?the?slope?of?his?production?possibilities?frontier?[Question?ID?=?5338]

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1.?2/3?[Option?ID?=?21351]
2.?3/2?[Option?ID?=?21350]
3.?2/3?[Option?ID?=?21352]
4.?3/2?[Option?ID?=?21349]
Correct?Answer?:?

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?2/3?[Option?ID?=?21352]
Suppose?the?net?cost?of?undertaking?a?venture?is?rupees?1800?if?beta?1?and?the?net?profit?is?rupees?Q?if?beta?is?greater?than?1.?Your?posterior
distribution?of?beta?is?normal?with?mean?2.28?and?variance?unity.?Any?value?of?Q?bigger?than?what?number?entices?you?to?take?this?venture?Note
that?the?critical?values?(z)?corresponding?to?the?following?tail?areas?(alpha)?under?a?standard?normal?are:?alpha=0.10?then?z=1.28?alpha=0.05
then?z=1.645?alpha=0.025?then?z=1.96?alpha=0.01?then?z=2.33?[Question?ID?=?5376]

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1.?450?[Option?ID?=?21504]
2.?300?[Option?ID?=?21503]
3.?200?[Option?ID?=?21502]
4.?100?[Option?ID?=?21501]
Correct?Answer?:?

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200?[Option?ID?=?21502]
Suppose?you?have?a?random?sample?of?100?observations?on?a?variable?x?which?is?distributed?normally?with?mean?14?and?variance?8.?The?sample
average,?xbar,?is?15?and?the?sample?variance?is?7.?Then?the?mean?and?variance?of?the?sampling?distribution?of?xbar?is?[Question?ID?=?5369]
1.?14?and?0.08,?respectively?[Option?ID?=?21476]
2.?14?and?8,?respectively?[Option?ID?=?21475]

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3.?15?and?7,?respectively?[Option?ID?=?21473]
4.?15?and?0.07,?respectively?[Option?ID?=?21474]
Correct?Answer?:?
14?and?0.08,?respectively?[Option?ID?=?21476]
6)?

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7)?
8)?
9)?
10)?
11)?

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12)?
Strategy?A?has?an?expected?value?of?10?and?a?standard?deviation?of?3.?Strategy?B?has?an?expected?value?of?10?and?a?standard?deviation?of?5.
Strategy?C?has?an?expected?value?of?15?and?a?standard?deviation?of?10.?Which?one?of?the?following?statements?is?true?[Question?ID?=?5340]
1.?A?risk?neutral?decision?maker?will?always?prefer?C?to?A?or?B.?[Option?ID?=?21358]
2.?A?risk?seeking?decision?maker?will?always?prefer?C?to?A?or?B.?[Option?ID?=?21359]

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3.?A?risk?averse?decision?maker?will?always?prefer?A?to?B,?but?may?prefer?C?to?A.?[Option?ID?=?21357]
4.?All?of?these?[Option?ID?=?21360]
Correct?Answer?:?
All?of?these?[Option?ID?=?21360]
An?n?gon?is?a?regular?polygon?with?n?equal?sides.?Find?the?number?of?diagonals?(edges?of?an?n?gon?are?not?considered?as?diagonals)?of?a?10?

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gon.?[Question?ID?=?5366]
1.?45?diagonals?[Option?ID?=?21464]
2.?25?diagonals?[Option?ID?=?21462]
3.?20?diagonals?[Option?ID?=?21461]
4.?35?diagonals?[Option?ID?=?21463]

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Correct?Answer?:?
35?diagonals?[Option?ID?=?21463]
The?Nintari?Company?produces?video?game?playing?machines?and?a?second?firm,?Necsega,?owns?exclusive?rights?to?manufacture?games?that?can
be?used?with?the?Nintari?game?machine.?Both?of?these?imperfectly?competitive?firms?are?maximizing?profits.?If?Nintari?buys?Necsega?and?nothing
else?changes,?then?profits?will?be?maximized?if?Nintari?[Question?ID?=?5343]

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1.?does?not?change?the?prices?of?game?machines?or?games.?[Option?ID?=?21370]
2.?decreases?the?prices?of?game?machines?and?games.?[Option?ID?=?21369]
3.?increases?the?prices?of?game?machines?and?games.?[Option?ID?=?21371]
4.?All?of?these?[Option?ID?=?21372]
Correct?Answer?:?

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decreases?the?prices?of?game?machines?and?games.?[Option?ID?=?21369]
Consider?an?otherwise?Solovian?economy?with?one?exception:?the?production?function?does?not?exhibit?decreasing?marginal?returns?with?respect
to?capital.?In?this?case,?which?of?the?following?statement?is?NOT?true?[Question?ID?=?5378]
1.?The?economy?would?grow?perpetually?over?time?and?the?capital?labour?ratio?will?not?converge?to?a?unique?steady?state.?[Option?ID?=?21511]
2.?Per?capita?consumption?would?remain?constant?over?time.?[Option?ID?=?21512]

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3.?An?increase?in?the?rate?of?saving?could?lead?to?a?permanent?increase?in?the?rate?of?growth?of?per?capita?income.?[Option?ID?=?21509]
4.?An?increase?in?the?rate?of?growth?of?population?could?lead?to?a?permanent?decrease?in?the?rate?of?growth?of?per?capita?income.?[Option?ID?=?21510]
Correct?Answer?:?
Per?capita?consumption?would?remain?constant?over?time.?[Option?ID?=?21512]
Consider?the?function?f?mapping?points?of?the?plane?into?the?plane?defined?by?f(x,?y)?=?(x?y,?x?+?y).?The?range?of?this?function?is?[Question?ID

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=?5359]
1.?the?45?degree?line.?[Option?ID?=?21433]
2.?a?ray?through?the?origin?but?not?the?45?degree?line.?[Option?ID?=?21434]
3.?the?entire?plane.?[Option?ID?=?21435]
4.?the?first?and?third?quadrants.?[Option?ID?=?21436]

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Correct?Answer?:?
the?entire?plane.?[Option?ID?=?21435]
Consider?a?firm?using?two?inputs?to?produce?its?output.?It?is?known?that?greater?use?of?both?inputs?increases?output.?Moreover,?for?any
combination?of?positive?input?prices,?the?firm?employs?an?input?combination?of?the?form?(x,?y=?x)?where?>?0?is?a?constant.?Which?of?the?following
functions?represents?this?firm's?technology?[Question?ID?=?5353]

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1.?f(x,?y)?=?min{x
>
,?y}?[Option?ID?=?21409]
2.?f(x,?y)?=?min{?x,?y}?[Option?ID?=?21410]
3.?f(x,?y)?=?min{x,?y

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>
}?[Option?ID?=?21412]
4.?f(x,?y)?=?min{x,?y}?[Option?ID?=?21411]
Correct?Answer?:?
f(x,?y)?=?min{?x,?y}?[Option?ID?=?21410]

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The?optimal?combination?of?joint?products?that?are?produced?in?variable?proportions?is?found?where?[Question?ID?=?5345]
1.?the?isorevenue?line?is?tangent?to?the?relevant?total?cost?curve.?[Option?ID?=?21379]
2.?the?isorevenue?line?is?tangent?to?the?product?transformation?curve.?[Option?ID?=?21378]
3.?None?of?these?[Option?ID?=?21380]
4.?the?marginal?revenue?from?each?product?is?equal?to?the?marginal?cost?of?producing?each?product.?[Option?ID?=?21377]

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13)?
14)?
15)?
16)?
17)?

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18)?
19)?
Correct?Answer?:?
the?isorevenue?line?is?tangent?to?the?product?transformation?curve.?[Option?ID?=?21378]
The?J?curve?describes?the?following?phenomenon:?[Question?ID?=?5383]

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1.?A?change?in?nominal?exchange?rates?will?affect?relative?prices?only?in?the?short?run?but?the?effect?will?peter?out?in?the?long?run.?[Option?ID?=?21529]
2.?Depreciation?of?the?domestic?currency?will?worsen?the?trade?balance?in?the?short?run?but?will?then?gradually?improve?later?as?volume?effects?come?to?dominate.
[Option?ID?=?21530]
3.?An?appreciation?of?the?domestic?currency?will?always?worsen?the?trade?balance.?[Option?ID?=?21531]
4.?An?increase?in?price?level?will?reduce?the?aggregate?demand?only?in?the?short?but?the?effect?will?peter?out?in?the?long?run.?[Option?ID?=?21532]

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Correct?Answer?:?
Depreciation?of?the?domestic?currency?will?worsen?the?trade?balance?in?the?short?run?but?will?then?gradually?improve?later?as?volume?effects?come?to?dominate.
[Option?ID?=?21530]
A?profit?maximising?firm?operating?in?a?perfectly?competitive?market?has?the?cost?function?c(q)?=?100?+?q
<2>

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?for?any?q?>?0.?If?the?firm?decides
to?produce?q?=?0,?however,?its?cost?is?0.?The?market?price?is?p.?If?p?=?40,?the?firm?s?optimum?output?is?[Question?ID?=?5348]
1.?0?[Option?ID?=?21389]
2.?30?[Option?ID?=?21392]
3.?10?[Option?ID?=?21390]

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4.?20?[Option?ID?=?21391]
Correct?Answer?:?Full?Marks?Given?to?all?the?candidates
For?a?system?of?linear?equations?Ax?=?b?with?m?equations?and?n?variables?where?m?>?n?and?b?is?a?given?vector,?the?following?is?true.?[Question
ID?=?5362]
1.?It?can?never?have?a?unique?solution.?[Option?ID?=?21445]

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2.?It?has?at?least?a?one?dimensional?solution?space.?[Option?ID?=?21447]
3.?If?Rank(A)?=?n?and?a?solution?exists?it?must?be?unique.?[Option?ID?=?21448]
4.?It?always?has?at?least?one?solution.?[Option?ID?=?21446]
Correct?Answer?:?
If?Rank(A)?=?n?and?a?solution?exists?it?must?be?unique.?[Option?ID?=?21448]

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Given?below?are?the?equations?that?characterise?an?economy?in?the?short?term.
Y=C+I+G?
C=1000+0.8(Y?T)?
I=1500?
G=2000?

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T=1000
A?reduction?in?lump?sum?taxes?from?1000?to?500?will?have?the?following?effect?on?equilibrium?output:?[Question?ID?=?5384]
1.?it?will?increase?by?1000?units.?[Option?ID?=?21535]
2.?it?will?increase?by?2000?units.?[Option?ID?=?21534]
3.?it?will?increase?by?500?units.?[Option?ID?=?21536]

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4.?it?will?increase?by?2500?units.?[Option?ID?=?21533]
Correct?Answer?:?
it?will?increase?by?2000?units.?[Option?ID?=?21534]
The?optimal?output?of?joint?products?that?are?produced?in?fixed?proportions?is?found?where?[Question?ID?=?5344]
1.?the?marginal?cost?is?equal?to?the?corresponding?price?of?each?product.?[Option?ID?=?21376]

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2.?the?horizontal?sum?of?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21374]
3.?the?vertical?sum?of?the?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21373]
4.?the?marginal?revenue?from?each?product?is?equal?to?the?marginal?cost?of?producing?each?product.?[Option?ID?=?21375]
Correct?Answer?:?
the?vertical?sum?of?the?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21373]

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Conditional?convergence?hypothesis?states?that?[Question?ID?=?5387]
1.?poorer?countries?will?always?grow?slower?than?richer?countries.?[Option?ID?=?21546]
2.?a?country?will?grow?slower?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21548]
3.?a?country?will?grow?faster?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21547]
4.?poorer?countries?will?always?grow?faster?than?richer?countries.?[Option?ID?=?21545]

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Correct?Answer?:?
a?country?will?grow?faster?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21547]
20)?
21)?
22)?

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23)?
A?society?has?3?individuals?and?3?alternatives?A,?B?and?C.?Individuals?1?and?2?strictly?prefer?A?to?B?and?B?to?C.?Individual?3?strictly?prefers?C?to?B?and
B?to?A.?A?Rawlsian?social?planner?would?therefore?choose?[Question?ID?=?5355]
1.?B.?[Option?ID?=?21418]
2.?A?or?C?[Option?ID?=?21420]

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3.?C.?[Option?ID?=?21419]
4.?A.?[Option?ID?=?21417]
Correct?Answer?:?
B.?[Option?ID?=?21418]
You?estimate?the?multiple?regression?Y?=?a+b1(X1)?+b2(X2)?+u?with?a?large?sample.?Let?t1?be?the?test?statistic?for?testing?the?null?hypothesis

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b1?=?0?and?t2?be?the?test?statistic?for?testing?the?null?hypothesis?b2?=?0.?Suppose?you?test?the?joint?null?hypothesis?that?b1?=?b2?=?0?using?the
principle?'reject?the?null?if?either?t1?or?t2?exceeds?1.96?in?absolute?value',?taking?t1?and?t2?to?be?independently?distributed.?[Question?ID?=?5374]
1.?The?probability?of?Type?I?error?is?less?than?or?equal?to?5?percent?in?this?case.?[Option?ID?=?21495]
2.?The?probability?of?Type?I?error?is?less?than?5?percent?in?this?case.?[Option?ID?=?21496]
3.?The?probability?of?Type?I?error?is?5?percent?in?this?case.?[Option?ID?=?21493]

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4.?The?probability?of?Type?I?error?is?more?than?5?percent?but?less?than?10?percent?in?this?case?[Option?ID?=?21494]
Correct?Answer?:?
The?probability?of?Type?I?error?is?more?than?5?percent?but?less?than?10?percent?in?this?case?[Option?ID?=?21494]
[Question?ID?=?5358]
1.?a?point?of?inflection.?[Option?ID?=?21431]

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2.?a?local?minimum.?[Option?ID?=?21429]
3.?a?local?maximum.?[Option?ID?=?21430]
4.?None?of?these.?[Option?ID?=?21432]
Correct?Answer?:?
a?local?maximum.?[Option?ID?=?21430]

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[Question?ID?=?5350]
1.?20?units.?[Option?ID?=?21397]
2.?10?units.?[Option?ID?=?21399]
3.?5?units.?[Option?ID?=?21400]
4.?15?units.?[Option?ID?=?21398]

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Correct?Answer?:?
15?units.?[Option?ID?=?21398]
[Question?ID?=?5351]
1.?0?[Option?ID?=?21404]
2.?7?[Option?ID?=?21401]

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3.?5?[Option?ID?=?21402]
4.?2?[Option?ID?=?21403]
Correct?Answer?:?
FirstRanker.com - FirstRanker's Choice
1)?

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2)?
3)?
4)?
5)?
DU?Mphil?Phd?in?Economics

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Topic:?DU_J18_MPHIL_ECO_Topic01
Suppose?A?and?B?are?square?matrices?that?satisfy?AB?+?BA?=?0,?where?0?is?a?square?matrix?of?zeros.?Then?it?must?be?that?[Question?ID?=?5365]
1.? ?[Option?ID?=?21458]
2.? ?[Option?ID?=?21460]
3.? ?[Option?ID?=?21459]

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4.? ?[Option?ID?=?21457]
Correct?Answer?:?
?[Option?ID?=?21457]
Suppose?a?real?valued?function?f?is?defined?for?all?real?numbers?except?0,?and?satisfies?the?following?condition:?f(xy)?=?f(x)?+?f(y)?for?all?x,?y?in
the?domain.?Consider?the?statements:

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f(1)?=?f(?1)?=?0?(i)
f(x)?=?f(?x)?for?every?x?(ii)?[Question?ID?=?5363]
1.?(i)?is?true?and?(ii)?is?false.?[Option?ID?=?21449]
2.?(i)?is?false?and?(ii)?is?true.?[Option?ID?=?21450]
3.?Both?are?true.?[Option?ID?=?21451]

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4.?Both?are?false?[Option?ID?=?21452]
Correct?Answer?:?
Both?are?true.?[Option?ID?=?21451]
Suppose?Frank?can?either?hunt?for?birds?(b)?or?forage?for?wild?berries?(w)?on?his?isolated?island?property.?He?can?catch?two?birds?or?gather
three?pounds?of?berries?in?an?hour.?He?only?has?12?hours?a?week?to?devote?to?these?activities.?His?utility?function?for?birds?and?berries?is?u(w,b)?=

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bw
0.5
.?What?is?the?slope?of?his?production?possibilities?frontier?[Question?ID?=?5338]
1.?2/3?[Option?ID?=?21351]
2.?3/2?[Option?ID?=?21350]

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3.?2/3?[Option?ID?=?21352]
4.?3/2?[Option?ID?=?21349]
Correct?Answer?:?
?2/3?[Option?ID?=?21352]
Suppose?the?net?cost?of?undertaking?a?venture?is?rupees?1800?if?beta?1?and?the?net?profit?is?rupees?Q?if?beta?is?greater?than?1.?Your?posterior

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distribution?of?beta?is?normal?with?mean?2.28?and?variance?unity.?Any?value?of?Q?bigger?than?what?number?entices?you?to?take?this?venture?Note
that?the?critical?values?(z)?corresponding?to?the?following?tail?areas?(alpha)?under?a?standard?normal?are:?alpha=0.10?then?z=1.28?alpha=0.05
then?z=1.645?alpha=0.025?then?z=1.96?alpha=0.01?then?z=2.33?[Question?ID?=?5376]
1.?450?[Option?ID?=?21504]
2.?300?[Option?ID?=?21503]

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3.?200?[Option?ID?=?21502]
4.?100?[Option?ID?=?21501]
Correct?Answer?:?
200?[Option?ID?=?21502]
Suppose?you?have?a?random?sample?of?100?observations?on?a?variable?x?which?is?distributed?normally?with?mean?14?and?variance?8.?The?sample

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average,?xbar,?is?15?and?the?sample?variance?is?7.?Then?the?mean?and?variance?of?the?sampling?distribution?of?xbar?is?[Question?ID?=?5369]
1.?14?and?0.08,?respectively?[Option?ID?=?21476]
2.?14?and?8,?respectively?[Option?ID?=?21475]
3.?15?and?7,?respectively?[Option?ID?=?21473]
4.?15?and?0.07,?respectively?[Option?ID?=?21474]

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Correct?Answer?:?
14?and?0.08,?respectively?[Option?ID?=?21476]
6)?
7)?
8)?

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9)?
10)?
11)?
12)?
Strategy?A?has?an?expected?value?of?10?and?a?standard?deviation?of?3.?Strategy?B?has?an?expected?value?of?10?and?a?standard?deviation?of?5.

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Strategy?C?has?an?expected?value?of?15?and?a?standard?deviation?of?10.?Which?one?of?the?following?statements?is?true?[Question?ID?=?5340]
1.?A?risk?neutral?decision?maker?will?always?prefer?C?to?A?or?B.?[Option?ID?=?21358]
2.?A?risk?seeking?decision?maker?will?always?prefer?C?to?A?or?B.?[Option?ID?=?21359]
3.?A?risk?averse?decision?maker?will?always?prefer?A?to?B,?but?may?prefer?C?to?A.?[Option?ID?=?21357]
4.?All?of?these?[Option?ID?=?21360]

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Correct?Answer?:?
All?of?these?[Option?ID?=?21360]
An?n?gon?is?a?regular?polygon?with?n?equal?sides.?Find?the?number?of?diagonals?(edges?of?an?n?gon?are?not?considered?as?diagonals)?of?a?10?
gon.?[Question?ID?=?5366]
1.?45?diagonals?[Option?ID?=?21464]

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2.?25?diagonals?[Option?ID?=?21462]
3.?20?diagonals?[Option?ID?=?21461]
4.?35?diagonals?[Option?ID?=?21463]
Correct?Answer?:?
35?diagonals?[Option?ID?=?21463]

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The?Nintari?Company?produces?video?game?playing?machines?and?a?second?firm,?Necsega,?owns?exclusive?rights?to?manufacture?games?that?can
be?used?with?the?Nintari?game?machine.?Both?of?these?imperfectly?competitive?firms?are?maximizing?profits.?If?Nintari?buys?Necsega?and?nothing
else?changes,?then?profits?will?be?maximized?if?Nintari?[Question?ID?=?5343]
1.?does?not?change?the?prices?of?game?machines?or?games.?[Option?ID?=?21370]
2.?decreases?the?prices?of?game?machines?and?games.?[Option?ID?=?21369]

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3.?increases?the?prices?of?game?machines?and?games.?[Option?ID?=?21371]
4.?All?of?these?[Option?ID?=?21372]
Correct?Answer?:?
decreases?the?prices?of?game?machines?and?games.?[Option?ID?=?21369]
Consider?an?otherwise?Solovian?economy?with?one?exception:?the?production?function?does?not?exhibit?decreasing?marginal?returns?with?respect

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to?capital.?In?this?case,?which?of?the?following?statement?is?NOT?true?[Question?ID?=?5378]
1.?The?economy?would?grow?perpetually?over?time?and?the?capital?labour?ratio?will?not?converge?to?a?unique?steady?state.?[Option?ID?=?21511]
2.?Per?capita?consumption?would?remain?constant?over?time.?[Option?ID?=?21512]
3.?An?increase?in?the?rate?of?saving?could?lead?to?a?permanent?increase?in?the?rate?of?growth?of?per?capita?income.?[Option?ID?=?21509]
4.?An?increase?in?the?rate?of?growth?of?population?could?lead?to?a?permanent?decrease?in?the?rate?of?growth?of?per?capita?income.?[Option?ID?=?21510]

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Correct?Answer?:?
Per?capita?consumption?would?remain?constant?over?time.?[Option?ID?=?21512]
Consider?the?function?f?mapping?points?of?the?plane?into?the?plane?defined?by?f(x,?y)?=?(x?y,?x?+?y).?The?range?of?this?function?is?[Question?ID
=?5359]
1.?the?45?degree?line.?[Option?ID?=?21433]

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2.?a?ray?through?the?origin?but?not?the?45?degree?line.?[Option?ID?=?21434]
3.?the?entire?plane.?[Option?ID?=?21435]
4.?the?first?and?third?quadrants.?[Option?ID?=?21436]
Correct?Answer?:?
the?entire?plane.?[Option?ID?=?21435]

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Consider?a?firm?using?two?inputs?to?produce?its?output.?It?is?known?that?greater?use?of?both?inputs?increases?output.?Moreover,?for?any
combination?of?positive?input?prices,?the?firm?employs?an?input?combination?of?the?form?(x,?y=?x)?where?>?0?is?a?constant.?Which?of?the?following
functions?represents?this?firm's?technology?[Question?ID?=?5353]
1.?f(x,?y)?=?min{x
>

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,?y}?[Option?ID?=?21409]
2.?f(x,?y)?=?min{?x,?y}?[Option?ID?=?21410]
3.?f(x,?y)?=?min{x,?y
>
}?[Option?ID?=?21412]

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4.?f(x,?y)?=?min{x,?y}?[Option?ID?=?21411]
Correct?Answer?:?
f(x,?y)?=?min{?x,?y}?[Option?ID?=?21410]
The?optimal?combination?of?joint?products?that?are?produced?in?variable?proportions?is?found?where?[Question?ID?=?5345]
1.?the?isorevenue?line?is?tangent?to?the?relevant?total?cost?curve.?[Option?ID?=?21379]

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2.?the?isorevenue?line?is?tangent?to?the?product?transformation?curve.?[Option?ID?=?21378]
3.?None?of?these?[Option?ID?=?21380]
4.?the?marginal?revenue?from?each?product?is?equal?to?the?marginal?cost?of?producing?each?product.?[Option?ID?=?21377]
13)?
14)?

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15)?
16)?
17)?
18)?
19)?

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Correct?Answer?:?
the?isorevenue?line?is?tangent?to?the?product?transformation?curve.?[Option?ID?=?21378]
The?J?curve?describes?the?following?phenomenon:?[Question?ID?=?5383]
1.?A?change?in?nominal?exchange?rates?will?affect?relative?prices?only?in?the?short?run?but?the?effect?will?peter?out?in?the?long?run.?[Option?ID?=?21529]
2.?Depreciation?of?the?domestic?currency?will?worsen?the?trade?balance?in?the?short?run?but?will?then?gradually?improve?later?as?volume?effects?come?to?dominate.

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[Option?ID?=?21530]
3.?An?appreciation?of?the?domestic?currency?will?always?worsen?the?trade?balance.?[Option?ID?=?21531]
4.?An?increase?in?price?level?will?reduce?the?aggregate?demand?only?in?the?short?but?the?effect?will?peter?out?in?the?long?run.?[Option?ID?=?21532]
Correct?Answer?:?
Depreciation?of?the?domestic?currency?will?worsen?the?trade?balance?in?the?short?run?but?will?then?gradually?improve?later?as?volume?effects?come?to?dominate.

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[Option?ID?=?21530]
A?profit?maximising?firm?operating?in?a?perfectly?competitive?market?has?the?cost?function?c(q)?=?100?+?q
<2>
?for?any?q?>?0.?If?the?firm?decides
to?produce?q?=?0,?however,?its?cost?is?0.?The?market?price?is?p.?If?p?=?40,?the?firm?s?optimum?output?is?[Question?ID?=?5348]

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1.?0?[Option?ID?=?21389]
2.?30?[Option?ID?=?21392]
3.?10?[Option?ID?=?21390]
4.?20?[Option?ID?=?21391]
Correct?Answer?:?Full?Marks?Given?to?all?the?candidates

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For?a?system?of?linear?equations?Ax?=?b?with?m?equations?and?n?variables?where?m?>?n?and?b?is?a?given?vector,?the?following?is?true.?[Question
ID?=?5362]
1.?It?can?never?have?a?unique?solution.?[Option?ID?=?21445]
2.?It?has?at?least?a?one?dimensional?solution?space.?[Option?ID?=?21447]
3.?If?Rank(A)?=?n?and?a?solution?exists?it?must?be?unique.?[Option?ID?=?21448]

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4.?It?always?has?at?least?one?solution.?[Option?ID?=?21446]
Correct?Answer?:?
If?Rank(A)?=?n?and?a?solution?exists?it?must?be?unique.?[Option?ID?=?21448]
Given?below?are?the?equations?that?characterise?an?economy?in?the?short?term.
Y=C+I+G?

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C=1000+0.8(Y?T)?
I=1500?
G=2000?
T=1000
A?reduction?in?lump?sum?taxes?from?1000?to?500?will?have?the?following?effect?on?equilibrium?output:?[Question?ID?=?5384]

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1.?it?will?increase?by?1000?units.?[Option?ID?=?21535]
2.?it?will?increase?by?2000?units.?[Option?ID?=?21534]
3.?it?will?increase?by?500?units.?[Option?ID?=?21536]
4.?it?will?increase?by?2500?units.?[Option?ID?=?21533]
Correct?Answer?:?

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it?will?increase?by?2000?units.?[Option?ID?=?21534]
The?optimal?output?of?joint?products?that?are?produced?in?fixed?proportions?is?found?where?[Question?ID?=?5344]
1.?the?marginal?cost?is?equal?to?the?corresponding?price?of?each?product.?[Option?ID?=?21376]
2.?the?horizontal?sum?of?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21374]
3.?the?vertical?sum?of?the?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21373]

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4.?the?marginal?revenue?from?each?product?is?equal?to?the?marginal?cost?of?producing?each?product.?[Option?ID?=?21375]
Correct?Answer?:?
the?vertical?sum?of?the?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21373]
Conditional?convergence?hypothesis?states?that?[Question?ID?=?5387]
1.?poorer?countries?will?always?grow?slower?than?richer?countries.?[Option?ID?=?21546]

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2.?a?country?will?grow?slower?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21548]
3.?a?country?will?grow?faster?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21547]
4.?poorer?countries?will?always?grow?faster?than?richer?countries.?[Option?ID?=?21545]
Correct?Answer?:?
a?country?will?grow?faster?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21547]

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20)?
21)?
22)?
23)?
A?society?has?3?individuals?and?3?alternatives?A,?B?and?C.?Individuals?1?and?2?strictly?prefer?A?to?B?and?B?to?C.?Individual?3?strictly?prefers?C?to?B?and

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B?to?A.?A?Rawlsian?social?planner?would?therefore?choose?[Question?ID?=?5355]
1.?B.?[Option?ID?=?21418]
2.?A?or?C?[Option?ID?=?21420]
3.?C.?[Option?ID?=?21419]
4.?A.?[Option?ID?=?21417]

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Correct?Answer?:?
B.?[Option?ID?=?21418]
You?estimate?the?multiple?regression?Y?=?a+b1(X1)?+b2(X2)?+u?with?a?large?sample.?Let?t1?be?the?test?statistic?for?testing?the?null?hypothesis
b1?=?0?and?t2?be?the?test?statistic?for?testing?the?null?hypothesis?b2?=?0.?Suppose?you?test?the?joint?null?hypothesis?that?b1?=?b2?=?0?using?the
principle?'reject?the?null?if?either?t1?or?t2?exceeds?1.96?in?absolute?value',?taking?t1?and?t2?to?be?independently?distributed.?[Question?ID?=?5374]

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1.?The?probability?of?Type?I?error?is?less?than?or?equal?to?5?percent?in?this?case.?[Option?ID?=?21495]
2.?The?probability?of?Type?I?error?is?less?than?5?percent?in?this?case.?[Option?ID?=?21496]
3.?The?probability?of?Type?I?error?is?5?percent?in?this?case.?[Option?ID?=?21493]
4.?The?probability?of?Type?I?error?is?more?than?5?percent?but?less?than?10?percent?in?this?case?[Option?ID?=?21494]
Correct?Answer?:?

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The?probability?of?Type?I?error?is?more?than?5?percent?but?less?than?10?percent?in?this?case?[Option?ID?=?21494]
[Question?ID?=?5358]
1.?a?point?of?inflection.?[Option?ID?=?21431]
2.?a?local?minimum.?[Option?ID?=?21429]
3.?a?local?maximum.?[Option?ID?=?21430]

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4.?None?of?these.?[Option?ID?=?21432]
Correct?Answer?:?
a?local?maximum.?[Option?ID?=?21430]
[Question?ID?=?5350]
1.?20?units.?[Option?ID?=?21397]

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2.?10?units.?[Option?ID?=?21399]
3.?5?units.?[Option?ID?=?21400]
4.?15?units.?[Option?ID?=?21398]
Correct?Answer?:?
15?units.?[Option?ID?=?21398]

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[Question?ID?=?5351]
1.?0?[Option?ID?=?21404]
2.?7?[Option?ID?=?21401]
3.?5?[Option?ID?=?21402]
4.?2?[Option?ID?=?21403]

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Correct?Answer?:?
24)?
25)?
26)?
2?[Option?ID?=?21403]

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[Question?ID?=?5364]
1.?b?>?3?[Option?ID?=?21454]
2.?b?>?2?[Option?ID?=?21456]
3.?b?2?2="">?[Option?ID?=?21455]
4.?b?3?3="">?[Option?ID?=?21453]

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Correct?Answer?:?Full?Marks?Given?to?all?the?candidates
[Question?ID?=?5379]
1.? ?[Option?ID?=?21516]
2.? ?[Option?ID?=?21514]
3.? ?[Option?ID?=?21513]

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4.? ?[Option?ID?=?21515]
Correct?Answer?:?
?[Option?ID?=?21515]
FirstRanker.com - FirstRanker's Choice
1)?

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2)?
3)?
4)?
5)?
DU?Mphil?Phd?in?Economics

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Topic:?DU_J18_MPHIL_ECO_Topic01
Suppose?A?and?B?are?square?matrices?that?satisfy?AB?+?BA?=?0,?where?0?is?a?square?matrix?of?zeros.?Then?it?must?be?that?[Question?ID?=?5365]
1.? ?[Option?ID?=?21458]
2.? ?[Option?ID?=?21460]
3.? ?[Option?ID?=?21459]

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4.? ?[Option?ID?=?21457]
Correct?Answer?:?
?[Option?ID?=?21457]
Suppose?a?real?valued?function?f?is?defined?for?all?real?numbers?except?0,?and?satisfies?the?following?condition:?f(xy)?=?f(x)?+?f(y)?for?all?x,?y?in
the?domain.?Consider?the?statements:

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f(1)?=?f(?1)?=?0?(i)
f(x)?=?f(?x)?for?every?x?(ii)?[Question?ID?=?5363]
1.?(i)?is?true?and?(ii)?is?false.?[Option?ID?=?21449]
2.?(i)?is?false?and?(ii)?is?true.?[Option?ID?=?21450]
3.?Both?are?true.?[Option?ID?=?21451]

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4.?Both?are?false?[Option?ID?=?21452]
Correct?Answer?:?
Both?are?true.?[Option?ID?=?21451]
Suppose?Frank?can?either?hunt?for?birds?(b)?or?forage?for?wild?berries?(w)?on?his?isolated?island?property.?He?can?catch?two?birds?or?gather
three?pounds?of?berries?in?an?hour.?He?only?has?12?hours?a?week?to?devote?to?these?activities.?His?utility?function?for?birds?and?berries?is?u(w,b)?=

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bw
0.5
.?What?is?the?slope?of?his?production?possibilities?frontier?[Question?ID?=?5338]
1.?2/3?[Option?ID?=?21351]
2.?3/2?[Option?ID?=?21350]

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3.?2/3?[Option?ID?=?21352]
4.?3/2?[Option?ID?=?21349]
Correct?Answer?:?
?2/3?[Option?ID?=?21352]
Suppose?the?net?cost?of?undertaking?a?venture?is?rupees?1800?if?beta?1?and?the?net?profit?is?rupees?Q?if?beta?is?greater?than?1.?Your?posterior

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distribution?of?beta?is?normal?with?mean?2.28?and?variance?unity.?Any?value?of?Q?bigger?than?what?number?entices?you?to?take?this?venture?Note
that?the?critical?values?(z)?corresponding?to?the?following?tail?areas?(alpha)?under?a?standard?normal?are:?alpha=0.10?then?z=1.28?alpha=0.05
then?z=1.645?alpha=0.025?then?z=1.96?alpha=0.01?then?z=2.33?[Question?ID?=?5376]
1.?450?[Option?ID?=?21504]
2.?300?[Option?ID?=?21503]

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3.?200?[Option?ID?=?21502]
4.?100?[Option?ID?=?21501]
Correct?Answer?:?
200?[Option?ID?=?21502]
Suppose?you?have?a?random?sample?of?100?observations?on?a?variable?x?which?is?distributed?normally?with?mean?14?and?variance?8.?The?sample

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average,?xbar,?is?15?and?the?sample?variance?is?7.?Then?the?mean?and?variance?of?the?sampling?distribution?of?xbar?is?[Question?ID?=?5369]
1.?14?and?0.08,?respectively?[Option?ID?=?21476]
2.?14?and?8,?respectively?[Option?ID?=?21475]
3.?15?and?7,?respectively?[Option?ID?=?21473]
4.?15?and?0.07,?respectively?[Option?ID?=?21474]

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Correct?Answer?:?
14?and?0.08,?respectively?[Option?ID?=?21476]
6)?
7)?
8)?

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9)?
10)?
11)?
12)?
Strategy?A?has?an?expected?value?of?10?and?a?standard?deviation?of?3.?Strategy?B?has?an?expected?value?of?10?and?a?standard?deviation?of?5.

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Strategy?C?has?an?expected?value?of?15?and?a?standard?deviation?of?10.?Which?one?of?the?following?statements?is?true?[Question?ID?=?5340]
1.?A?risk?neutral?decision?maker?will?always?prefer?C?to?A?or?B.?[Option?ID?=?21358]
2.?A?risk?seeking?decision?maker?will?always?prefer?C?to?A?or?B.?[Option?ID?=?21359]
3.?A?risk?averse?decision?maker?will?always?prefer?A?to?B,?but?may?prefer?C?to?A.?[Option?ID?=?21357]
4.?All?of?these?[Option?ID?=?21360]

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Correct?Answer?:?
All?of?these?[Option?ID?=?21360]
An?n?gon?is?a?regular?polygon?with?n?equal?sides.?Find?the?number?of?diagonals?(edges?of?an?n?gon?are?not?considered?as?diagonals)?of?a?10?
gon.?[Question?ID?=?5366]
1.?45?diagonals?[Option?ID?=?21464]

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2.?25?diagonals?[Option?ID?=?21462]
3.?20?diagonals?[Option?ID?=?21461]
4.?35?diagonals?[Option?ID?=?21463]
Correct?Answer?:?
35?diagonals?[Option?ID?=?21463]

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The?Nintari?Company?produces?video?game?playing?machines?and?a?second?firm,?Necsega,?owns?exclusive?rights?to?manufacture?games?that?can
be?used?with?the?Nintari?game?machine.?Both?of?these?imperfectly?competitive?firms?are?maximizing?profits.?If?Nintari?buys?Necsega?and?nothing
else?changes,?then?profits?will?be?maximized?if?Nintari?[Question?ID?=?5343]
1.?does?not?change?the?prices?of?game?machines?or?games.?[Option?ID?=?21370]
2.?decreases?the?prices?of?game?machines?and?games.?[Option?ID?=?21369]

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3.?increases?the?prices?of?game?machines?and?games.?[Option?ID?=?21371]
4.?All?of?these?[Option?ID?=?21372]
Correct?Answer?:?
decreases?the?prices?of?game?machines?and?games.?[Option?ID?=?21369]
Consider?an?otherwise?Solovian?economy?with?one?exception:?the?production?function?does?not?exhibit?decreasing?marginal?returns?with?respect

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to?capital.?In?this?case,?which?of?the?following?statement?is?NOT?true?[Question?ID?=?5378]
1.?The?economy?would?grow?perpetually?over?time?and?the?capital?labour?ratio?will?not?converge?to?a?unique?steady?state.?[Option?ID?=?21511]
2.?Per?capita?consumption?would?remain?constant?over?time.?[Option?ID?=?21512]
3.?An?increase?in?the?rate?of?saving?could?lead?to?a?permanent?increase?in?the?rate?of?growth?of?per?capita?income.?[Option?ID?=?21509]
4.?An?increase?in?the?rate?of?growth?of?population?could?lead?to?a?permanent?decrease?in?the?rate?of?growth?of?per?capita?income.?[Option?ID?=?21510]

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Correct?Answer?:?
Per?capita?consumption?would?remain?constant?over?time.?[Option?ID?=?21512]
Consider?the?function?f?mapping?points?of?the?plane?into?the?plane?defined?by?f(x,?y)?=?(x?y,?x?+?y).?The?range?of?this?function?is?[Question?ID
=?5359]
1.?the?45?degree?line.?[Option?ID?=?21433]

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2.?a?ray?through?the?origin?but?not?the?45?degree?line.?[Option?ID?=?21434]
3.?the?entire?plane.?[Option?ID?=?21435]
4.?the?first?and?third?quadrants.?[Option?ID?=?21436]
Correct?Answer?:?
the?entire?plane.?[Option?ID?=?21435]

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Consider?a?firm?using?two?inputs?to?produce?its?output.?It?is?known?that?greater?use?of?both?inputs?increases?output.?Moreover,?for?any
combination?of?positive?input?prices,?the?firm?employs?an?input?combination?of?the?form?(x,?y=?x)?where?>?0?is?a?constant.?Which?of?the?following
functions?represents?this?firm's?technology?[Question?ID?=?5353]
1.?f(x,?y)?=?min{x
>

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,?y}?[Option?ID?=?21409]
2.?f(x,?y)?=?min{?x,?y}?[Option?ID?=?21410]
3.?f(x,?y)?=?min{x,?y
>
}?[Option?ID?=?21412]

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4.?f(x,?y)?=?min{x,?y}?[Option?ID?=?21411]
Correct?Answer?:?
f(x,?y)?=?min{?x,?y}?[Option?ID?=?21410]
The?optimal?combination?of?joint?products?that?are?produced?in?variable?proportions?is?found?where?[Question?ID?=?5345]
1.?the?isorevenue?line?is?tangent?to?the?relevant?total?cost?curve.?[Option?ID?=?21379]

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2.?the?isorevenue?line?is?tangent?to?the?product?transformation?curve.?[Option?ID?=?21378]
3.?None?of?these?[Option?ID?=?21380]
4.?the?marginal?revenue?from?each?product?is?equal?to?the?marginal?cost?of?producing?each?product.?[Option?ID?=?21377]
13)?
14)?

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15)?
16)?
17)?
18)?
19)?

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Correct?Answer?:?
the?isorevenue?line?is?tangent?to?the?product?transformation?curve.?[Option?ID?=?21378]
The?J?curve?describes?the?following?phenomenon:?[Question?ID?=?5383]
1.?A?change?in?nominal?exchange?rates?will?affect?relative?prices?only?in?the?short?run?but?the?effect?will?peter?out?in?the?long?run.?[Option?ID?=?21529]
2.?Depreciation?of?the?domestic?currency?will?worsen?the?trade?balance?in?the?short?run?but?will?then?gradually?improve?later?as?volume?effects?come?to?dominate.

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[Option?ID?=?21530]
3.?An?appreciation?of?the?domestic?currency?will?always?worsen?the?trade?balance.?[Option?ID?=?21531]
4.?An?increase?in?price?level?will?reduce?the?aggregate?demand?only?in?the?short?but?the?effect?will?peter?out?in?the?long?run.?[Option?ID?=?21532]
Correct?Answer?:?
Depreciation?of?the?domestic?currency?will?worsen?the?trade?balance?in?the?short?run?but?will?then?gradually?improve?later?as?volume?effects?come?to?dominate.

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[Option?ID?=?21530]
A?profit?maximising?firm?operating?in?a?perfectly?competitive?market?has?the?cost?function?c(q)?=?100?+?q
<2>
?for?any?q?>?0.?If?the?firm?decides
to?produce?q?=?0,?however,?its?cost?is?0.?The?market?price?is?p.?If?p?=?40,?the?firm?s?optimum?output?is?[Question?ID?=?5348]

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1.?0?[Option?ID?=?21389]
2.?30?[Option?ID?=?21392]
3.?10?[Option?ID?=?21390]
4.?20?[Option?ID?=?21391]
Correct?Answer?:?Full?Marks?Given?to?all?the?candidates

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For?a?system?of?linear?equations?Ax?=?b?with?m?equations?and?n?variables?where?m?>?n?and?b?is?a?given?vector,?the?following?is?true.?[Question
ID?=?5362]
1.?It?can?never?have?a?unique?solution.?[Option?ID?=?21445]
2.?It?has?at?least?a?one?dimensional?solution?space.?[Option?ID?=?21447]
3.?If?Rank(A)?=?n?and?a?solution?exists?it?must?be?unique.?[Option?ID?=?21448]

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4.?It?always?has?at?least?one?solution.?[Option?ID?=?21446]
Correct?Answer?:?
If?Rank(A)?=?n?and?a?solution?exists?it?must?be?unique.?[Option?ID?=?21448]
Given?below?are?the?equations?that?characterise?an?economy?in?the?short?term.
Y=C+I+G?

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C=1000+0.8(Y?T)?
I=1500?
G=2000?
T=1000
A?reduction?in?lump?sum?taxes?from?1000?to?500?will?have?the?following?effect?on?equilibrium?output:?[Question?ID?=?5384]

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1.?it?will?increase?by?1000?units.?[Option?ID?=?21535]
2.?it?will?increase?by?2000?units.?[Option?ID?=?21534]
3.?it?will?increase?by?500?units.?[Option?ID?=?21536]
4.?it?will?increase?by?2500?units.?[Option?ID?=?21533]
Correct?Answer?:?

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it?will?increase?by?2000?units.?[Option?ID?=?21534]
The?optimal?output?of?joint?products?that?are?produced?in?fixed?proportions?is?found?where?[Question?ID?=?5344]
1.?the?marginal?cost?is?equal?to?the?corresponding?price?of?each?product.?[Option?ID?=?21376]
2.?the?horizontal?sum?of?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21374]
3.?the?vertical?sum?of?the?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21373]

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4.?the?marginal?revenue?from?each?product?is?equal?to?the?marginal?cost?of?producing?each?product.?[Option?ID?=?21375]
Correct?Answer?:?
the?vertical?sum?of?the?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21373]
Conditional?convergence?hypothesis?states?that?[Question?ID?=?5387]
1.?poorer?countries?will?always?grow?slower?than?richer?countries.?[Option?ID?=?21546]

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2.?a?country?will?grow?slower?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21548]
3.?a?country?will?grow?faster?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21547]
4.?poorer?countries?will?always?grow?faster?than?richer?countries.?[Option?ID?=?21545]
Correct?Answer?:?
a?country?will?grow?faster?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21547]

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20)?
21)?
22)?
23)?
A?society?has?3?individuals?and?3?alternatives?A,?B?and?C.?Individuals?1?and?2?strictly?prefer?A?to?B?and?B?to?C.?Individual?3?strictly?prefers?C?to?B?and

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B?to?A.?A?Rawlsian?social?planner?would?therefore?choose?[Question?ID?=?5355]
1.?B.?[Option?ID?=?21418]
2.?A?or?C?[Option?ID?=?21420]
3.?C.?[Option?ID?=?21419]
4.?A.?[Option?ID?=?21417]

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Correct?Answer?:?
B.?[Option?ID?=?21418]
You?estimate?the?multiple?regression?Y?=?a+b1(X1)?+b2(X2)?+u?with?a?large?sample.?Let?t1?be?the?test?statistic?for?testing?the?null?hypothesis
b1?=?0?and?t2?be?the?test?statistic?for?testing?the?null?hypothesis?b2?=?0.?Suppose?you?test?the?joint?null?hypothesis?that?b1?=?b2?=?0?using?the
principle?'reject?the?null?if?either?t1?or?t2?exceeds?1.96?in?absolute?value',?taking?t1?and?t2?to?be?independently?distributed.?[Question?ID?=?5374]

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1.?The?probability?of?Type?I?error?is?less?than?or?equal?to?5?percent?in?this?case.?[Option?ID?=?21495]
2.?The?probability?of?Type?I?error?is?less?than?5?percent?in?this?case.?[Option?ID?=?21496]
3.?The?probability?of?Type?I?error?is?5?percent?in?this?case.?[Option?ID?=?21493]
4.?The?probability?of?Type?I?error?is?more?than?5?percent?but?less?than?10?percent?in?this?case?[Option?ID?=?21494]
Correct?Answer?:?

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The?probability?of?Type?I?error?is?more?than?5?percent?but?less?than?10?percent?in?this?case?[Option?ID?=?21494]
[Question?ID?=?5358]
1.?a?point?of?inflection.?[Option?ID?=?21431]
2.?a?local?minimum.?[Option?ID?=?21429]
3.?a?local?maximum.?[Option?ID?=?21430]

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4.?None?of?these.?[Option?ID?=?21432]
Correct?Answer?:?
a?local?maximum.?[Option?ID?=?21430]
[Question?ID?=?5350]
1.?20?units.?[Option?ID?=?21397]

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2.?10?units.?[Option?ID?=?21399]
3.?5?units.?[Option?ID?=?21400]
4.?15?units.?[Option?ID?=?21398]
Correct?Answer?:?
15?units.?[Option?ID?=?21398]

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[Question?ID?=?5351]
1.?0?[Option?ID?=?21404]
2.?7?[Option?ID?=?21401]
3.?5?[Option?ID?=?21402]
4.?2?[Option?ID?=?21403]

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Correct?Answer?:?
24)?
25)?
26)?
2?[Option?ID?=?21403]

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[Question?ID?=?5364]
1.?b?>?3?[Option?ID?=?21454]
2.?b?>?2?[Option?ID?=?21456]
3.?b?2?2="">?[Option?ID?=?21455]
4.?b?3?3="">?[Option?ID?=?21453]

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Correct?Answer?:?Full?Marks?Given?to?all?the?candidates
[Question?ID?=?5379]
1.? ?[Option?ID?=?21516]
2.? ?[Option?ID?=?21514]
3.? ?[Option?ID?=?21513]

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4.? ?[Option?ID?=?21515]
Correct?Answer?:?
?[Option?ID?=?21515]
27)?
28)?

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[Question?ID?=?5385]
1.? ?[Option?ID?=?21538]
2.? ?[Option?ID?=?21539]
3.? ?[Option?ID?=?21540]
4.? ?[Option?ID?=?21537]

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Correct?Answer?:?
?[Option?ID?=?21539]
[Question?ID?=?5380]
1.? ?[Option?ID?=?21519]
2.? ?[Option?ID?=?21517]

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3.? ?[Option?ID?=?21518]
4.? ?[Option?ID?=?21520]
Correct?Answer?:?
?[Option?ID?=?21517]
FirstRanker.com - FirstRanker's Choice

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1)?
2)?
3)?
4)?
5)?

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DU?Mphil?Phd?in?Economics
Topic:?DU_J18_MPHIL_ECO_Topic01
Suppose?A?and?B?are?square?matrices?that?satisfy?AB?+?BA?=?0,?where?0?is?a?square?matrix?of?zeros.?Then?it?must?be?that?[Question?ID?=?5365]
1.? ?[Option?ID?=?21458]
2.? ?[Option?ID?=?21460]

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3.? ?[Option?ID?=?21459]
4.? ?[Option?ID?=?21457]
Correct?Answer?:?
?[Option?ID?=?21457]
Suppose?a?real?valued?function?f?is?defined?for?all?real?numbers?except?0,?and?satisfies?the?following?condition:?f(xy)?=?f(x)?+?f(y)?for?all?x,?y?in

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the?domain.?Consider?the?statements:
f(1)?=?f(?1)?=?0?(i)
f(x)?=?f(?x)?for?every?x?(ii)?[Question?ID?=?5363]
1.?(i)?is?true?and?(ii)?is?false.?[Option?ID?=?21449]
2.?(i)?is?false?and?(ii)?is?true.?[Option?ID?=?21450]

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3.?Both?are?true.?[Option?ID?=?21451]
4.?Both?are?false?[Option?ID?=?21452]
Correct?Answer?:?
Both?are?true.?[Option?ID?=?21451]
Suppose?Frank?can?either?hunt?for?birds?(b)?or?forage?for?wild?berries?(w)?on?his?isolated?island?property.?He?can?catch?two?birds?or?gather

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three?pounds?of?berries?in?an?hour.?He?only?has?12?hours?a?week?to?devote?to?these?activities.?His?utility?function?for?birds?and?berries?is?u(w,b)?=
bw
0.5
.?What?is?the?slope?of?his?production?possibilities?frontier?[Question?ID?=?5338]
1.?2/3?[Option?ID?=?21351]

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2.?3/2?[Option?ID?=?21350]
3.?2/3?[Option?ID?=?21352]
4.?3/2?[Option?ID?=?21349]
Correct?Answer?:?
?2/3?[Option?ID?=?21352]

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Suppose?the?net?cost?of?undertaking?a?venture?is?rupees?1800?if?beta?1?and?the?net?profit?is?rupees?Q?if?beta?is?greater?than?1.?Your?posterior
distribution?of?beta?is?normal?with?mean?2.28?and?variance?unity.?Any?value?of?Q?bigger?than?what?number?entices?you?to?take?this?venture?Note
that?the?critical?values?(z)?corresponding?to?the?following?tail?areas?(alpha)?under?a?standard?normal?are:?alpha=0.10?then?z=1.28?alpha=0.05
then?z=1.645?alpha=0.025?then?z=1.96?alpha=0.01?then?z=2.33?[Question?ID?=?5376]
1.?450?[Option?ID?=?21504]

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2.?300?[Option?ID?=?21503]
3.?200?[Option?ID?=?21502]
4.?100?[Option?ID?=?21501]
Correct?Answer?:?
200?[Option?ID?=?21502]

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Suppose?you?have?a?random?sample?of?100?observations?on?a?variable?x?which?is?distributed?normally?with?mean?14?and?variance?8.?The?sample
average,?xbar,?is?15?and?the?sample?variance?is?7.?Then?the?mean?and?variance?of?the?sampling?distribution?of?xbar?is?[Question?ID?=?5369]
1.?14?and?0.08,?respectively?[Option?ID?=?21476]
2.?14?and?8,?respectively?[Option?ID?=?21475]
3.?15?and?7,?respectively?[Option?ID?=?21473]

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4.?15?and?0.07,?respectively?[Option?ID?=?21474]
Correct?Answer?:?
14?and?0.08,?respectively?[Option?ID?=?21476]
6)?
7)?

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8)?
9)?
10)?
11)?
12)?

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Strategy?A?has?an?expected?value?of?10?and?a?standard?deviation?of?3.?Strategy?B?has?an?expected?value?of?10?and?a?standard?deviation?of?5.
Strategy?C?has?an?expected?value?of?15?and?a?standard?deviation?of?10.?Which?one?of?the?following?statements?is?true?[Question?ID?=?5340]
1.?A?risk?neutral?decision?maker?will?always?prefer?C?to?A?or?B.?[Option?ID?=?21358]
2.?A?risk?seeking?decision?maker?will?always?prefer?C?to?A?or?B.?[Option?ID?=?21359]
3.?A?risk?averse?decision?maker?will?always?prefer?A?to?B,?but?may?prefer?C?to?A.?[Option?ID?=?21357]

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4.?All?of?these?[Option?ID?=?21360]
Correct?Answer?:?
All?of?these?[Option?ID?=?21360]
An?n?gon?is?a?regular?polygon?with?n?equal?sides.?Find?the?number?of?diagonals?(edges?of?an?n?gon?are?not?considered?as?diagonals)?of?a?10?
gon.?[Question?ID?=?5366]

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1.?45?diagonals?[Option?ID?=?21464]
2.?25?diagonals?[Option?ID?=?21462]
3.?20?diagonals?[Option?ID?=?21461]
4.?35?diagonals?[Option?ID?=?21463]
Correct?Answer?:?

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35?diagonals?[Option?ID?=?21463]
The?Nintari?Company?produces?video?game?playing?machines?and?a?second?firm,?Necsega,?owns?exclusive?rights?to?manufacture?games?that?can
be?used?with?the?Nintari?game?machine.?Both?of?these?imperfectly?competitive?firms?are?maximizing?profits.?If?Nintari?buys?Necsega?and?nothing
else?changes,?then?profits?will?be?maximized?if?Nintari?[Question?ID?=?5343]
1.?does?not?change?the?prices?of?game?machines?or?games.?[Option?ID?=?21370]

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2.?decreases?the?prices?of?game?machines?and?games.?[Option?ID?=?21369]
3.?increases?the?prices?of?game?machines?and?games.?[Option?ID?=?21371]
4.?All?of?these?[Option?ID?=?21372]
Correct?Answer?:?
decreases?the?prices?of?game?machines?and?games.?[Option?ID?=?21369]

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Consider?an?otherwise?Solovian?economy?with?one?exception:?the?production?function?does?not?exhibit?decreasing?marginal?returns?with?respect
to?capital.?In?this?case,?which?of?the?following?statement?is?NOT?true?[Question?ID?=?5378]
1.?The?economy?would?grow?perpetually?over?time?and?the?capital?labour?ratio?will?not?converge?to?a?unique?steady?state.?[Option?ID?=?21511]
2.?Per?capita?consumption?would?remain?constant?over?time.?[Option?ID?=?21512]
3.?An?increase?in?the?rate?of?saving?could?lead?to?a?permanent?increase?in?the?rate?of?growth?of?per?capita?income.?[Option?ID?=?21509]

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4.?An?increase?in?the?rate?of?growth?of?population?could?lead?to?a?permanent?decrease?in?the?rate?of?growth?of?per?capita?income.?[Option?ID?=?21510]
Correct?Answer?:?
Per?capita?consumption?would?remain?constant?over?time.?[Option?ID?=?21512]
Consider?the?function?f?mapping?points?of?the?plane?into?the?plane?defined?by?f(x,?y)?=?(x?y,?x?+?y).?The?range?of?this?function?is?[Question?ID
=?5359]

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1.?the?45?degree?line.?[Option?ID?=?21433]
2.?a?ray?through?the?origin?but?not?the?45?degree?line.?[Option?ID?=?21434]
3.?the?entire?plane.?[Option?ID?=?21435]
4.?the?first?and?third?quadrants.?[Option?ID?=?21436]
Correct?Answer?:?

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the?entire?plane.?[Option?ID?=?21435]
Consider?a?firm?using?two?inputs?to?produce?its?output.?It?is?known?that?greater?use?of?both?inputs?increases?output.?Moreover,?for?any
combination?of?positive?input?prices,?the?firm?employs?an?input?combination?of?the?form?(x,?y=?x)?where?>?0?is?a?constant.?Which?of?the?following
functions?represents?this?firm's?technology?[Question?ID?=?5353]
1.?f(x,?y)?=?min{x

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>
,?y}?[Option?ID?=?21409]
2.?f(x,?y)?=?min{?x,?y}?[Option?ID?=?21410]
3.?f(x,?y)?=?min{x,?y
>

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}?[Option?ID?=?21412]
4.?f(x,?y)?=?min{x,?y}?[Option?ID?=?21411]
Correct?Answer?:?
f(x,?y)?=?min{?x,?y}?[Option?ID?=?21410]
The?optimal?combination?of?joint?products?that?are?produced?in?variable?proportions?is?found?where?[Question?ID?=?5345]

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1.?the?isorevenue?line?is?tangent?to?the?relevant?total?cost?curve.?[Option?ID?=?21379]
2.?the?isorevenue?line?is?tangent?to?the?product?transformation?curve.?[Option?ID?=?21378]
3.?None?of?these?[Option?ID?=?21380]
4.?the?marginal?revenue?from?each?product?is?equal?to?the?marginal?cost?of?producing?each?product.?[Option?ID?=?21377]
13)?

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14)?
15)?
16)?
17)?
18)?

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19)?
Correct?Answer?:?
the?isorevenue?line?is?tangent?to?the?product?transformation?curve.?[Option?ID?=?21378]
The?J?curve?describes?the?following?phenomenon:?[Question?ID?=?5383]
1.?A?change?in?nominal?exchange?rates?will?affect?relative?prices?only?in?the?short?run?but?the?effect?will?peter?out?in?the?long?run.?[Option?ID?=?21529]

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2.?Depreciation?of?the?domestic?currency?will?worsen?the?trade?balance?in?the?short?run?but?will?then?gradually?improve?later?as?volume?effects?come?to?dominate.
[Option?ID?=?21530]
3.?An?appreciation?of?the?domestic?currency?will?always?worsen?the?trade?balance.?[Option?ID?=?21531]
4.?An?increase?in?price?level?will?reduce?the?aggregate?demand?only?in?the?short?but?the?effect?will?peter?out?in?the?long?run.?[Option?ID?=?21532]
Correct?Answer?:?

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Depreciation?of?the?domestic?currency?will?worsen?the?trade?balance?in?the?short?run?but?will?then?gradually?improve?later?as?volume?effects?come?to?dominate.
[Option?ID?=?21530]
A?profit?maximising?firm?operating?in?a?perfectly?competitive?market?has?the?cost?function?c(q)?=?100?+?q
<2>
?for?any?q?>?0.?If?the?firm?decides

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to?produce?q?=?0,?however,?its?cost?is?0.?The?market?price?is?p.?If?p?=?40,?the?firm?s?optimum?output?is?[Question?ID?=?5348]
1.?0?[Option?ID?=?21389]
2.?30?[Option?ID?=?21392]
3.?10?[Option?ID?=?21390]
4.?20?[Option?ID?=?21391]

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Correct?Answer?:?Full?Marks?Given?to?all?the?candidates
For?a?system?of?linear?equations?Ax?=?b?with?m?equations?and?n?variables?where?m?>?n?and?b?is?a?given?vector,?the?following?is?true.?[Question
ID?=?5362]
1.?It?can?never?have?a?unique?solution.?[Option?ID?=?21445]
2.?It?has?at?least?a?one?dimensional?solution?space.?[Option?ID?=?21447]

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3.?If?Rank(A)?=?n?and?a?solution?exists?it?must?be?unique.?[Option?ID?=?21448]
4.?It?always?has?at?least?one?solution.?[Option?ID?=?21446]
Correct?Answer?:?
If?Rank(A)?=?n?and?a?solution?exists?it?must?be?unique.?[Option?ID?=?21448]
Given?below?are?the?equations?that?characterise?an?economy?in?the?short?term.

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Y=C+I+G?
C=1000+0.8(Y?T)?
I=1500?
G=2000?
T=1000

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A?reduction?in?lump?sum?taxes?from?1000?to?500?will?have?the?following?effect?on?equilibrium?output:?[Question?ID?=?5384]
1.?it?will?increase?by?1000?units.?[Option?ID?=?21535]
2.?it?will?increase?by?2000?units.?[Option?ID?=?21534]
3.?it?will?increase?by?500?units.?[Option?ID?=?21536]
4.?it?will?increase?by?2500?units.?[Option?ID?=?21533]

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Correct?Answer?:?
it?will?increase?by?2000?units.?[Option?ID?=?21534]
The?optimal?output?of?joint?products?that?are?produced?in?fixed?proportions?is?found?where?[Question?ID?=?5344]
1.?the?marginal?cost?is?equal?to?the?corresponding?price?of?each?product.?[Option?ID?=?21376]
2.?the?horizontal?sum?of?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21374]

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3.?the?vertical?sum?of?the?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21373]
4.?the?marginal?revenue?from?each?product?is?equal?to?the?marginal?cost?of?producing?each?product.?[Option?ID?=?21375]
Correct?Answer?:?
the?vertical?sum?of?the?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21373]
Conditional?convergence?hypothesis?states?that?[Question?ID?=?5387]

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1.?poorer?countries?will?always?grow?slower?than?richer?countries.?[Option?ID?=?21546]
2.?a?country?will?grow?slower?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21548]
3.?a?country?will?grow?faster?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21547]
4.?poorer?countries?will?always?grow?faster?than?richer?countries.?[Option?ID?=?21545]
Correct?Answer?:?

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a?country?will?grow?faster?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21547]
20)?
21)?
22)?
23)?

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A?society?has?3?individuals?and?3?alternatives?A,?B?and?C.?Individuals?1?and?2?strictly?prefer?A?to?B?and?B?to?C.?Individual?3?strictly?prefers?C?to?B?and
B?to?A.?A?Rawlsian?social?planner?would?therefore?choose?[Question?ID?=?5355]
1.?B.?[Option?ID?=?21418]
2.?A?or?C?[Option?ID?=?21420]
3.?C.?[Option?ID?=?21419]

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4.?A.?[Option?ID?=?21417]
Correct?Answer?:?
B.?[Option?ID?=?21418]
You?estimate?the?multiple?regression?Y?=?a+b1(X1)?+b2(X2)?+u?with?a?large?sample.?Let?t1?be?the?test?statistic?for?testing?the?null?hypothesis
b1?=?0?and?t2?be?the?test?statistic?for?testing?the?null?hypothesis?b2?=?0.?Suppose?you?test?the?joint?null?hypothesis?that?b1?=?b2?=?0?using?the

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principle?'reject?the?null?if?either?t1?or?t2?exceeds?1.96?in?absolute?value',?taking?t1?and?t2?to?be?independently?distributed.?[Question?ID?=?5374]
1.?The?probability?of?Type?I?error?is?less?than?or?equal?to?5?percent?in?this?case.?[Option?ID?=?21495]
2.?The?probability?of?Type?I?error?is?less?than?5?percent?in?this?case.?[Option?ID?=?21496]
3.?The?probability?of?Type?I?error?is?5?percent?in?this?case.?[Option?ID?=?21493]
4.?The?probability?of?Type?I?error?is?more?than?5?percent?but?less?than?10?percent?in?this?case?[Option?ID?=?21494]

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Correct?Answer?:?
The?probability?of?Type?I?error?is?more?than?5?percent?but?less?than?10?percent?in?this?case?[Option?ID?=?21494]
[Question?ID?=?5358]
1.?a?point?of?inflection.?[Option?ID?=?21431]
2.?a?local?minimum.?[Option?ID?=?21429]

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3.?a?local?maximum.?[Option?ID?=?21430]
4.?None?of?these.?[Option?ID?=?21432]
Correct?Answer?:?
a?local?maximum.?[Option?ID?=?21430]
[Question?ID?=?5350]

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1.?20?units.?[Option?ID?=?21397]
2.?10?units.?[Option?ID?=?21399]
3.?5?units.?[Option?ID?=?21400]
4.?15?units.?[Option?ID?=?21398]
Correct?Answer?:?

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15?units.?[Option?ID?=?21398]
[Question?ID?=?5351]
1.?0?[Option?ID?=?21404]
2.?7?[Option?ID?=?21401]
3.?5?[Option?ID?=?21402]

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4.?2?[Option?ID?=?21403]
Correct?Answer?:?
24)?
25)?
26)?

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2?[Option?ID?=?21403]
[Question?ID?=?5364]
1.?b?>?3?[Option?ID?=?21454]
2.?b?>?2?[Option?ID?=?21456]
3.?b?2?2="">?[Option?ID?=?21455]

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4.?b?3?3="">?[Option?ID?=?21453]
Correct?Answer?:?Full?Marks?Given?to?all?the?candidates
[Question?ID?=?5379]
1.? ?[Option?ID?=?21516]
2.? ?[Option?ID?=?21514]

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3.? ?[Option?ID?=?21513]
4.? ?[Option?ID?=?21515]
Correct?Answer?:?
?[Option?ID?=?21515]
27)?

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28)?
[Question?ID?=?5385]
1.? ?[Option?ID?=?21538]
2.? ?[Option?ID?=?21539]
3.? ?[Option?ID?=?21540]

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4.? ?[Option?ID?=?21537]
Correct?Answer?:?
?[Option?ID?=?21539]
[Question?ID?=?5380]
1.? ?[Option?ID?=?21519]

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2.? ?[Option?ID?=?21517]
3.? ?[Option?ID?=?21518]
4.? ?[Option?ID?=?21520]
Correct?Answer?:?
?[Option?ID?=?21517]

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29)?
30)?
31)?
[Question?ID?=?5347]
1.?(x1?y1)?=?(30?20),?(x2?y2)?=?(30?40)?[Option?ID?=?21388]

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2.?(x1?y1)?=?(30?30),?(x2?y2)?=?(30?30)?[Option?ID?=?21386]
3.?(x1?y1)?=?(40?20),?(x2?y2)?=?(20?40)?[Option?ID?=?21387]
4.?(x1?y1)?=?(20?40),?(x2?y2)?=?(40?20)?[Option?ID?=?21385]
Correct?Answer?:?
(x1?y1)?=?(40?20),?(x2?y2)?=?(20?40)?[Option?ID?=?21387]

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[Question?ID?=?5381]
1.? ?[Option?ID?=?21521]
2.? ?[Option?ID?=?21522]
3.? ?[Option?ID?=?21523]
4.?None?of?these?[Option?ID?=?21524]

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Correct?Answer?:?
?[Option?ID?=?21523]
[Question?ID?=?5372]
1.? ?[Option?ID?=?21485]
2.? ?[Option?ID?=?21488]

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3.? ?[Option?ID?=
21487]
4.? ?[Option?ID?=?21486]
Correct?Answer?:?
?[Option?ID?=?21486]

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FirstRanker.com - FirstRanker's Choice
1)?
2)?
3)?
4)?

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5)?
DU?Mphil?Phd?in?Economics
Topic:?DU_J18_MPHIL_ECO_Topic01
Suppose?A?and?B?are?square?matrices?that?satisfy?AB?+?BA?=?0,?where?0?is?a?square?matrix?of?zeros.?Then?it?must?be?that?[Question?ID?=?5365]
1.? ?[Option?ID?=?21458]

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2.? ?[Option?ID?=?21460]
3.? ?[Option?ID?=?21459]
4.? ?[Option?ID?=?21457]
Correct?Answer?:?
?[Option?ID?=?21457]

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Suppose?a?real?valued?function?f?is?defined?for?all?real?numbers?except?0,?and?satisfies?the?following?condition:?f(xy)?=?f(x)?+?f(y)?for?all?x,?y?in
the?domain.?Consider?the?statements:
f(1)?=?f(?1)?=?0?(i)
f(x)?=?f(?x)?for?every?x?(ii)?[Question?ID?=?5363]
1.?(i)?is?true?and?(ii)?is?false.?[Option?ID?=?21449]

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2.?(i)?is?false?and?(ii)?is?true.?[Option?ID?=?21450]
3.?Both?are?true.?[Option?ID?=?21451]
4.?Both?are?false?[Option?ID?=?21452]
Correct?Answer?:?
Both?are?true.?[Option?ID?=?21451]

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Suppose?Frank?can?either?hunt?for?birds?(b)?or?forage?for?wild?berries?(w)?on?his?isolated?island?property.?He?can?catch?two?birds?or?gather
three?pounds?of?berries?in?an?hour.?He?only?has?12?hours?a?week?to?devote?to?these?activities.?His?utility?function?for?birds?and?berries?is?u(w,b)?=
bw
0.5
.?What?is?the?slope?of?his?production?possibilities?frontier?[Question?ID?=?5338]

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1.?2/3?[Option?ID?=?21351]
2.?3/2?[Option?ID?=?21350]
3.?2/3?[Option?ID?=?21352]
4.?3/2?[Option?ID?=?21349]
Correct?Answer?:?

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?2/3?[Option?ID?=?21352]
Suppose?the?net?cost?of?undertaking?a?venture?is?rupees?1800?if?beta?1?and?the?net?profit?is?rupees?Q?if?beta?is?greater?than?1.?Your?posterior
distribution?of?beta?is?normal?with?mean?2.28?and?variance?unity.?Any?value?of?Q?bigger?than?what?number?entices?you?to?take?this?venture?Note
that?the?critical?values?(z)?corresponding?to?the?following?tail?areas?(alpha)?under?a?standard?normal?are:?alpha=0.10?then?z=1.28?alpha=0.05
then?z=1.645?alpha=0.025?then?z=1.96?alpha=0.01?then?z=2.33?[Question?ID?=?5376]

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1.?450?[Option?ID?=?21504]
2.?300?[Option?ID?=?21503]
3.?200?[Option?ID?=?21502]
4.?100?[Option?ID?=?21501]
Correct?Answer?:?

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200?[Option?ID?=?21502]
Suppose?you?have?a?random?sample?of?100?observations?on?a?variable?x?which?is?distributed?normally?with?mean?14?and?variance?8.?The?sample
average,?xbar,?is?15?and?the?sample?variance?is?7.?Then?the?mean?and?variance?of?the?sampling?distribution?of?xbar?is?[Question?ID?=?5369]
1.?14?and?0.08,?respectively?[Option?ID?=?21476]
2.?14?and?8,?respectively?[Option?ID?=?21475]

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3.?15?and?7,?respectively?[Option?ID?=?21473]
4.?15?and?0.07,?respectively?[Option?ID?=?21474]
Correct?Answer?:?
14?and?0.08,?respectively?[Option?ID?=?21476]
6)?

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7)?
8)?
9)?
10)?
11)?

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12)?
Strategy?A?has?an?expected?value?of?10?and?a?standard?deviation?of?3.?Strategy?B?has?an?expected?value?of?10?and?a?standard?deviation?of?5.
Strategy?C?has?an?expected?value?of?15?and?a?standard?deviation?of?10.?Which?one?of?the?following?statements?is?true?[Question?ID?=?5340]
1.?A?risk?neutral?decision?maker?will?always?prefer?C?to?A?or?B.?[Option?ID?=?21358]
2.?A?risk?seeking?decision?maker?will?always?prefer?C?to?A?or?B.?[Option?ID?=?21359]

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3.?A?risk?averse?decision?maker?will?always?prefer?A?to?B,?but?may?prefer?C?to?A.?[Option?ID?=?21357]
4.?All?of?these?[Option?ID?=?21360]
Correct?Answer?:?
All?of?these?[Option?ID?=?21360]
An?n?gon?is?a?regular?polygon?with?n?equal?sides.?Find?the?number?of?diagonals?(edges?of?an?n?gon?are?not?considered?as?diagonals)?of?a?10?

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gon.?[Question?ID?=?5366]
1.?45?diagonals?[Option?ID?=?21464]
2.?25?diagonals?[Option?ID?=?21462]
3.?20?diagonals?[Option?ID?=?21461]
4.?35?diagonals?[Option?ID?=?21463]

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Correct?Answer?:?
35?diagonals?[Option?ID?=?21463]
The?Nintari?Company?produces?video?game?playing?machines?and?a?second?firm,?Necsega,?owns?exclusive?rights?to?manufacture?games?that?can
be?used?with?the?Nintari?game?machine.?Both?of?these?imperfectly?competitive?firms?are?maximizing?profits.?If?Nintari?buys?Necsega?and?nothing
else?changes,?then?profits?will?be?maximized?if?Nintari?[Question?ID?=?5343]

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1.?does?not?change?the?prices?of?game?machines?or?games.?[Option?ID?=?21370]
2.?decreases?the?prices?of?game?machines?and?games.?[Option?ID?=?21369]
3.?increases?the?prices?of?game?machines?and?games.?[Option?ID?=?21371]
4.?All?of?these?[Option?ID?=?21372]
Correct?Answer?:?

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decreases?the?prices?of?game?machines?and?games.?[Option?ID?=?21369]
Consider?an?otherwise?Solovian?economy?with?one?exception:?the?production?function?does?not?exhibit?decreasing?marginal?returns?with?respect
to?capital.?In?this?case,?which?of?the?following?statement?is?NOT?true?[Question?ID?=?5378]
1.?The?economy?would?grow?perpetually?over?time?and?the?capital?labour?ratio?will?not?converge?to?a?unique?steady?state.?[Option?ID?=?21511]
2.?Per?capita?consumption?would?remain?constant?over?time.?[Option?ID?=?21512]

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3.?An?increase?in?the?rate?of?saving?could?lead?to?a?permanent?increase?in?the?rate?of?growth?of?per?capita?income.?[Option?ID?=?21509]
4.?An?increase?in?the?rate?of?growth?of?population?could?lead?to?a?permanent?decrease?in?the?rate?of?growth?of?per?capita?income.?[Option?ID?=?21510]
Correct?Answer?:?
Per?capita?consumption?would?remain?constant?over?time.?[Option?ID?=?21512]
Consider?the?function?f?mapping?points?of?the?plane?into?the?plane?defined?by?f(x,?y)?=?(x?y,?x?+?y).?The?range?of?this?function?is?[Question?ID

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=?5359]
1.?the?45?degree?line.?[Option?ID?=?21433]
2.?a?ray?through?the?origin?but?not?the?45?degree?line.?[Option?ID?=?21434]
3.?the?entire?plane.?[Option?ID?=?21435]
4.?the?first?and?third?quadrants.?[Option?ID?=?21436]

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Correct?Answer?:?
the?entire?plane.?[Option?ID?=?21435]
Consider?a?firm?using?two?inputs?to?produce?its?output.?It?is?known?that?greater?use?of?both?inputs?increases?output.?Moreover,?for?any
combination?of?positive?input?prices,?the?firm?employs?an?input?combination?of?the?form?(x,?y=?x)?where?>?0?is?a?constant.?Which?of?the?following
functions?represents?this?firm's?technology?[Question?ID?=?5353]

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1.?f(x,?y)?=?min{x
>
,?y}?[Option?ID?=?21409]
2.?f(x,?y)?=?min{?x,?y}?[Option?ID?=?21410]
3.?f(x,?y)?=?min{x,?y

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>
}?[Option?ID?=?21412]
4.?f(x,?y)?=?min{x,?y}?[Option?ID?=?21411]
Correct?Answer?:?
f(x,?y)?=?min{?x,?y}?[Option?ID?=?21410]

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The?optimal?combination?of?joint?products?that?are?produced?in?variable?proportions?is?found?where?[Question?ID?=?5345]
1.?the?isorevenue?line?is?tangent?to?the?relevant?total?cost?curve.?[Option?ID?=?21379]
2.?the?isorevenue?line?is?tangent?to?the?product?transformation?curve.?[Option?ID?=?21378]
3.?None?of?these?[Option?ID?=?21380]
4.?the?marginal?revenue?from?each?product?is?equal?to?the?marginal?cost?of?producing?each?product.?[Option?ID?=?21377]

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13)?
14)?
15)?
16)?
17)?

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18)?
19)?
Correct?Answer?:?
the?isorevenue?line?is?tangent?to?the?product?transformation?curve.?[Option?ID?=?21378]
The?J?curve?describes?the?following?phenomenon:?[Question?ID?=?5383]

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1.?A?change?in?nominal?exchange?rates?will?affect?relative?prices?only?in?the?short?run?but?the?effect?will?peter?out?in?the?long?run.?[Option?ID?=?21529]
2.?Depreciation?of?the?domestic?currency?will?worsen?the?trade?balance?in?the?short?run?but?will?then?gradually?improve?later?as?volume?effects?come?to?dominate.
[Option?ID?=?21530]
3.?An?appreciation?of?the?domestic?currency?will?always?worsen?the?trade?balance.?[Option?ID?=?21531]
4.?An?increase?in?price?level?will?reduce?the?aggregate?demand?only?in?the?short?but?the?effect?will?peter?out?in?the?long?run.?[Option?ID?=?21532]

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Correct?Answer?:?
Depreciation?of?the?domestic?currency?will?worsen?the?trade?balance?in?the?short?run?but?will?then?gradually?improve?later?as?volume?effects?come?to?dominate.
[Option?ID?=?21530]
A?profit?maximising?firm?operating?in?a?perfectly?competitive?market?has?the?cost?function?c(q)?=?100?+?q
<2>

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?for?any?q?>?0.?If?the?firm?decides
to?produce?q?=?0,?however,?its?cost?is?0.?The?market?price?is?p.?If?p?=?40,?the?firm?s?optimum?output?is?[Question?ID?=?5348]
1.?0?[Option?ID?=?21389]
2.?30?[Option?ID?=?21392]
3.?10?[Option?ID?=?21390]

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4.?20?[Option?ID?=?21391]
Correct?Answer?:?Full?Marks?Given?to?all?the?candidates
For?a?system?of?linear?equations?Ax?=?b?with?m?equations?and?n?variables?where?m?>?n?and?b?is?a?given?vector,?the?following?is?true.?[Question
ID?=?5362]
1.?It?can?never?have?a?unique?solution.?[Option?ID?=?21445]

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2.?It?has?at?least?a?one?dimensional?solution?space.?[Option?ID?=?21447]
3.?If?Rank(A)?=?n?and?a?solution?exists?it?must?be?unique.?[Option?ID?=?21448]
4.?It?always?has?at?least?one?solution.?[Option?ID?=?21446]
Correct?Answer?:?
If?Rank(A)?=?n?and?a?solution?exists?it?must?be?unique.?[Option?ID?=?21448]

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Given?below?are?the?equations?that?characterise?an?economy?in?the?short?term.
Y=C+I+G?
C=1000+0.8(Y?T)?
I=1500?
G=2000?

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T=1000
A?reduction?in?lump?sum?taxes?from?1000?to?500?will?have?the?following?effect?on?equilibrium?output:?[Question?ID?=?5384]
1.?it?will?increase?by?1000?units.?[Option?ID?=?21535]
2.?it?will?increase?by?2000?units.?[Option?ID?=?21534]
3.?it?will?increase?by?500?units.?[Option?ID?=?21536]

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4.?it?will?increase?by?2500?units.?[Option?ID?=?21533]
Correct?Answer?:?
it?will?increase?by?2000?units.?[Option?ID?=?21534]
The?optimal?output?of?joint?products?that?are?produced?in?fixed?proportions?is?found?where?[Question?ID?=?5344]
1.?the?marginal?cost?is?equal?to?the?corresponding?price?of?each?product.?[Option?ID?=?21376]

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2.?the?horizontal?sum?of?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21374]
3.?the?vertical?sum?of?the?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21373]
4.?the?marginal?revenue?from?each?product?is?equal?to?the?marginal?cost?of?producing?each?product.?[Option?ID?=?21375]
Correct?Answer?:?
the?vertical?sum?of?the?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21373]

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Conditional?convergence?hypothesis?states?that?[Question?ID?=?5387]
1.?poorer?countries?will?always?grow?slower?than?richer?countries.?[Option?ID?=?21546]
2.?a?country?will?grow?slower?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21548]
3.?a?country?will?grow?faster?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21547]
4.?poorer?countries?will?always?grow?faster?than?richer?countries.?[Option?ID?=?21545]

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Correct?Answer?:?
a?country?will?grow?faster?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21547]
20)?
21)?
22)?

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23)?
A?society?has?3?individuals?and?3?alternatives?A,?B?and?C.?Individuals?1?and?2?strictly?prefer?A?to?B?and?B?to?C.?Individual?3?strictly?prefers?C?to?B?and
B?to?A.?A?Rawlsian?social?planner?would?therefore?choose?[Question?ID?=?5355]
1.?B.?[Option?ID?=?21418]
2.?A?or?C?[Option?ID?=?21420]

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3.?C.?[Option?ID?=?21419]
4.?A.?[Option?ID?=?21417]
Correct?Answer?:?
B.?[Option?ID?=?21418]
You?estimate?the?multiple?regression?Y?=?a+b1(X1)?+b2(X2)?+u?with?a?large?sample.?Let?t1?be?the?test?statistic?for?testing?the?null?hypothesis

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b1?=?0?and?t2?be?the?test?statistic?for?testing?the?null?hypothesis?b2?=?0.?Suppose?you?test?the?joint?null?hypothesis?that?b1?=?b2?=?0?using?the
principle?'reject?the?null?if?either?t1?or?t2?exceeds?1.96?in?absolute?value',?taking?t1?and?t2?to?be?independently?distributed.?[Question?ID?=?5374]
1.?The?probability?of?Type?I?error?is?less?than?or?equal?to?5?percent?in?this?case.?[Option?ID?=?21495]
2.?The?probability?of?Type?I?error?is?less?than?5?percent?in?this?case.?[Option?ID?=?21496]
3.?The?probability?of?Type?I?error?is?5?percent?in?this?case.?[Option?ID?=?21493]

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4.?The?probability?of?Type?I?error?is?more?than?5?percent?but?less?than?10?percent?in?this?case?[Option?ID?=?21494]
Correct?Answer?:?
The?probability?of?Type?I?error?is?more?than?5?percent?but?less?than?10?percent?in?this?case?[Option?ID?=?21494]
[Question?ID?=?5358]
1.?a?point?of?inflection.?[Option?ID?=?21431]

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2.?a?local?minimum.?[Option?ID?=?21429]
3.?a?local?maximum.?[Option?ID?=?21430]
4.?None?of?these.?[Option?ID?=?21432]
Correct?Answer?:?
a?local?maximum.?[Option?ID?=?21430]

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[Question?ID?=?5350]
1.?20?units.?[Option?ID?=?21397]
2.?10?units.?[Option?ID?=?21399]
3.?5?units.?[Option?ID?=?21400]
4.?15?units.?[Option?ID?=?21398]

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Correct?Answer?:?
15?units.?[Option?ID?=?21398]
[Question?ID?=?5351]
1.?0?[Option?ID?=?21404]
2.?7?[Option?ID?=?21401]

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3.?5?[Option?ID?=?21402]
4.?2?[Option?ID?=?21403]
Correct?Answer?:?
24)?
25)?

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26)?
2?[Option?ID?=?21403]
[Question?ID?=?5364]
1.?b?>?3?[Option?ID?=?21454]
2.?b?>?2?[Option?ID?=?21456]

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3.?b?2?2="">?[Option?ID?=?21455]
4.?b?3?3="">?[Option?ID?=?21453]
Correct?Answer?:?Full?Marks?Given?to?all?the?candidates
[Question?ID?=?5379]
1.? ?[Option?ID?=?21516]

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2.? ?[Option?ID?=?21514]
3.? ?[Option?ID?=?21513]
4.? ?[Option?ID?=?21515]
Correct?Answer?:?
?[Option?ID?=?21515]

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27)?
28)?
[Question?ID?=?5385]
1.? ?[Option?ID?=?21538]
2.? ?[Option?ID?=?21539]

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3.? ?[Option?ID?=?21540]
4.? ?[Option?ID?=?21537]
Correct?Answer?:?
?[Option?ID?=?21539]
[Question?ID?=?5380]

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1.? ?[Option?ID?=?21519]
2.? ?[Option?ID?=?21517]
3.? ?[Option?ID?=?21518]
4.? ?[Option?ID?=?21520]
Correct?Answer?:?

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?[Option?ID?=?21517]
29)?
30)?
31)?
[Question?ID?=?5347]

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1.?(x1?y1)?=?(30?20),?(x2?y2)?=?(30?40)?[Option?ID?=?21388]
2.?(x1?y1)?=?(30?30),?(x2?y2)?=?(30?30)?[Option?ID?=?21386]
3.?(x1?y1)?=?(40?20),?(x2?y2)?=?(20?40)?[Option?ID?=?21387]
4.?(x1?y1)?=?(20?40),?(x2?y2)?=?(40?20)?[Option?ID?=?21385]
Correct?Answer?:?

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(x1?y1)?=?(40?20),?(x2?y2)?=?(20?40)?[Option?ID?=?21387]
[Question?ID?=?5381]
1.? ?[Option?ID?=?21521]
2.? ?[Option?ID?=?21522]
3.? ?[Option?ID?=?21523]

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4.?None?of?these?[Option?ID?=?21524]
Correct?Answer?:?
?[Option?ID?=?21523]
[Question?ID?=?5372]
1.? ?[Option?ID?=?21485]

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2.? ?[Option?ID?=?21488]
3.? ?[Option?ID?=
21487]
4.? ?[Option?ID?=?21486]
Correct?Answer?:?

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?[Option?ID?=?21486]
32)?
33)?
34)?
[Question?ID?=?5361]

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1.?linearly?dependent?only?if?a1,?a2,?,?an?are?linearly?dependent.?[Option?ID?=?21443]
2.?linearly?dependent.?[Option?ID?=?21442]
3.?linearly?independent.?[Option?ID?=?21441]
4.?linearly?dependent?only?if?m?=?n.?[Option?ID?=?21444]
Correct?Answer?:?

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linearly?dependent.?[Option?ID?=?21442]
[Question?ID?=?5386]
1.?There?does?not?exist?any?money?market?equilibrating?relationship?between?interest?rate?and?income.?[Option?ID?=?21544]
2.?The?LM?curve?is?horizontal.?[Option?ID?=?21542]
3.?The?LM?curve?is?downward?sloping.?[Option?ID?=?21543]

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4.?The?LM?curve?is?vertical.?[Option?ID?=?21541]
Correct?Answer?:?
There?does?not?exist?any?money?market?equilibrating?relationship?between?interest?rate?and?income.?[Option?ID?=?21544]
[Question?ID?=?5382]
1.? ?[Option?ID?=?21527]

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2.? ?[Option?ID?=?21528]
3.? ?[Option?ID?=?21525]
4.? ?[Option?ID?=?21526]
Correct?Answer?:?
?[Option?ID?=?21528]

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FirstRanker.com - FirstRanker's Choice
1)?
2)?
3)?
4)?

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5)?
DU?Mphil?Phd?in?Economics
Topic:?DU_J18_MPHIL_ECO_Topic01
Suppose?A?and?B?are?square?matrices?that?satisfy?AB?+?BA?=?0,?where?0?is?a?square?matrix?of?zeros.?Then?it?must?be?that?[Question?ID?=?5365]
1.? ?[Option?ID?=?21458]

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2.? ?[Option?ID?=?21460]
3.? ?[Option?ID?=?21459]
4.? ?[Option?ID?=?21457]
Correct?Answer?:?
?[Option?ID?=?21457]

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Suppose?a?real?valued?function?f?is?defined?for?all?real?numbers?except?0,?and?satisfies?the?following?condition:?f(xy)?=?f(x)?+?f(y)?for?all?x,?y?in
the?domain.?Consider?the?statements:
f(1)?=?f(?1)?=?0?(i)
f(x)?=?f(?x)?for?every?x?(ii)?[Question?ID?=?5363]
1.?(i)?is?true?and?(ii)?is?false.?[Option?ID?=?21449]

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2.?(i)?is?false?and?(ii)?is?true.?[Option?ID?=?21450]
3.?Both?are?true.?[Option?ID?=?21451]
4.?Both?are?false?[Option?ID?=?21452]
Correct?Answer?:?
Both?are?true.?[Option?ID?=?21451]

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Suppose?Frank?can?either?hunt?for?birds?(b)?or?forage?for?wild?berries?(w)?on?his?isolated?island?property.?He?can?catch?two?birds?or?gather
three?pounds?of?berries?in?an?hour.?He?only?has?12?hours?a?week?to?devote?to?these?activities.?His?utility?function?for?birds?and?berries?is?u(w,b)?=
bw
0.5
.?What?is?the?slope?of?his?production?possibilities?frontier?[Question?ID?=?5338]

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1.?2/3?[Option?ID?=?21351]
2.?3/2?[Option?ID?=?21350]
3.?2/3?[Option?ID?=?21352]
4.?3/2?[Option?ID?=?21349]
Correct?Answer?:?

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?2/3?[Option?ID?=?21352]
Suppose?the?net?cost?of?undertaking?a?venture?is?rupees?1800?if?beta?1?and?the?net?profit?is?rupees?Q?if?beta?is?greater?than?1.?Your?posterior
distribution?of?beta?is?normal?with?mean?2.28?and?variance?unity.?Any?value?of?Q?bigger?than?what?number?entices?you?to?take?this?venture?Note
that?the?critical?values?(z)?corresponding?to?the?following?tail?areas?(alpha)?under?a?standard?normal?are:?alpha=0.10?then?z=1.28?alpha=0.05
then?z=1.645?alpha=0.025?then?z=1.96?alpha=0.01?then?z=2.33?[Question?ID?=?5376]

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1.?450?[Option?ID?=?21504]
2.?300?[Option?ID?=?21503]
3.?200?[Option?ID?=?21502]
4.?100?[Option?ID?=?21501]
Correct?Answer?:?

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200?[Option?ID?=?21502]
Suppose?you?have?a?random?sample?of?100?observations?on?a?variable?x?which?is?distributed?normally?with?mean?14?and?variance?8.?The?sample
average,?xbar,?is?15?and?the?sample?variance?is?7.?Then?the?mean?and?variance?of?the?sampling?distribution?of?xbar?is?[Question?ID?=?5369]
1.?14?and?0.08,?respectively?[Option?ID?=?21476]
2.?14?and?8,?respectively?[Option?ID?=?21475]

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3.?15?and?7,?respectively?[Option?ID?=?21473]
4.?15?and?0.07,?respectively?[Option?ID?=?21474]
Correct?Answer?:?
14?and?0.08,?respectively?[Option?ID?=?21476]
6)?

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7)?
8)?
9)?
10)?
11)?

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12)?
Strategy?A?has?an?expected?value?of?10?and?a?standard?deviation?of?3.?Strategy?B?has?an?expected?value?of?10?and?a?standard?deviation?of?5.
Strategy?C?has?an?expected?value?of?15?and?a?standard?deviation?of?10.?Which?one?of?the?following?statements?is?true?[Question?ID?=?5340]
1.?A?risk?neutral?decision?maker?will?always?prefer?C?to?A?or?B.?[Option?ID?=?21358]
2.?A?risk?seeking?decision?maker?will?always?prefer?C?to?A?or?B.?[Option?ID?=?21359]

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3.?A?risk?averse?decision?maker?will?always?prefer?A?to?B,?but?may?prefer?C?to?A.?[Option?ID?=?21357]
4.?All?of?these?[Option?ID?=?21360]
Correct?Answer?:?
All?of?these?[Option?ID?=?21360]
An?n?gon?is?a?regular?polygon?with?n?equal?sides.?Find?the?number?of?diagonals?(edges?of?an?n?gon?are?not?considered?as?diagonals)?of?a?10?

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gon.?[Question?ID?=?5366]
1.?45?diagonals?[Option?ID?=?21464]
2.?25?diagonals?[Option?ID?=?21462]
3.?20?diagonals?[Option?ID?=?21461]
4.?35?diagonals?[Option?ID?=?21463]

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Correct?Answer?:?
35?diagonals?[Option?ID?=?21463]
The?Nintari?Company?produces?video?game?playing?machines?and?a?second?firm,?Necsega,?owns?exclusive?rights?to?manufacture?games?that?can
be?used?with?the?Nintari?game?machine.?Both?of?these?imperfectly?competitive?firms?are?maximizing?profits.?If?Nintari?buys?Necsega?and?nothing
else?changes,?then?profits?will?be?maximized?if?Nintari?[Question?ID?=?5343]

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1.?does?not?change?the?prices?of?game?machines?or?games.?[Option?ID?=?21370]
2.?decreases?the?prices?of?game?machines?and?games.?[Option?ID?=?21369]
3.?increases?the?prices?of?game?machines?and?games.?[Option?ID?=?21371]
4.?All?of?these?[Option?ID?=?21372]
Correct?Answer?:?

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decreases?the?prices?of?game?machines?and?games.?[Option?ID?=?21369]
Consider?an?otherwise?Solovian?economy?with?one?exception:?the?production?function?does?not?exhibit?decreasing?marginal?returns?with?respect
to?capital.?In?this?case,?which?of?the?following?statement?is?NOT?true?[Question?ID?=?5378]
1.?The?economy?would?grow?perpetually?over?time?and?the?capital?labour?ratio?will?not?converge?to?a?unique?steady?state.?[Option?ID?=?21511]
2.?Per?capita?consumption?would?remain?constant?over?time.?[Option?ID?=?21512]

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3.?An?increase?in?the?rate?of?saving?could?lead?to?a?permanent?increase?in?the?rate?of?growth?of?per?capita?income.?[Option?ID?=?21509]
4.?An?increase?in?the?rate?of?growth?of?population?could?lead?to?a?permanent?decrease?in?the?rate?of?growth?of?per?capita?income.?[Option?ID?=?21510]
Correct?Answer?:?
Per?capita?consumption?would?remain?constant?over?time.?[Option?ID?=?21512]
Consider?the?function?f?mapping?points?of?the?plane?into?the?plane?defined?by?f(x,?y)?=?(x?y,?x?+?y).?The?range?of?this?function?is?[Question?ID

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=?5359]
1.?the?45?degree?line.?[Option?ID?=?21433]
2.?a?ray?through?the?origin?but?not?the?45?degree?line.?[Option?ID?=?21434]
3.?the?entire?plane.?[Option?ID?=?21435]
4.?the?first?and?third?quadrants.?[Option?ID?=?21436]

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Correct?Answer?:?
the?entire?plane.?[Option?ID?=?21435]
Consider?a?firm?using?two?inputs?to?produce?its?output.?It?is?known?that?greater?use?of?both?inputs?increases?output.?Moreover,?for?any
combination?of?positive?input?prices,?the?firm?employs?an?input?combination?of?the?form?(x,?y=?x)?where?>?0?is?a?constant.?Which?of?the?following
functions?represents?this?firm's?technology?[Question?ID?=?5353]

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1.?f(x,?y)?=?min{x
>
,?y}?[Option?ID?=?21409]
2.?f(x,?y)?=?min{?x,?y}?[Option?ID?=?21410]
3.?f(x,?y)?=?min{x,?y

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>
}?[Option?ID?=?21412]
4.?f(x,?y)?=?min{x,?y}?[Option?ID?=?21411]
Correct?Answer?:?
f(x,?y)?=?min{?x,?y}?[Option?ID?=?21410]

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The?optimal?combination?of?joint?products?that?are?produced?in?variable?proportions?is?found?where?[Question?ID?=?5345]
1.?the?isorevenue?line?is?tangent?to?the?relevant?total?cost?curve.?[Option?ID?=?21379]
2.?the?isorevenue?line?is?tangent?to?the?product?transformation?curve.?[Option?ID?=?21378]
3.?None?of?these?[Option?ID?=?21380]
4.?the?marginal?revenue?from?each?product?is?equal?to?the?marginal?cost?of?producing?each?product.?[Option?ID?=?21377]

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13)?
14)?
15)?
16)?
17)?

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18)?
19)?
Correct?Answer?:?
the?isorevenue?line?is?tangent?to?the?product?transformation?curve.?[Option?ID?=?21378]
The?J?curve?describes?the?following?phenomenon:?[Question?ID?=?5383]

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1.?A?change?in?nominal?exchange?rates?will?affect?relative?prices?only?in?the?short?run?but?the?effect?will?peter?out?in?the?long?run.?[Option?ID?=?21529]
2.?Depreciation?of?the?domestic?currency?will?worsen?the?trade?balance?in?the?short?run?but?will?then?gradually?improve?later?as?volume?effects?come?to?dominate.
[Option?ID?=?21530]
3.?An?appreciation?of?the?domestic?currency?will?always?worsen?the?trade?balance.?[Option?ID?=?21531]
4.?An?increase?in?price?level?will?reduce?the?aggregate?demand?only?in?the?short?but?the?effect?will?peter?out?in?the?long?run.?[Option?ID?=?21532]

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Correct?Answer?:?
Depreciation?of?the?domestic?currency?will?worsen?the?trade?balance?in?the?short?run?but?will?then?gradually?improve?later?as?volume?effects?come?to?dominate.
[Option?ID?=?21530]
A?profit?maximising?firm?operating?in?a?perfectly?competitive?market?has?the?cost?function?c(q)?=?100?+?q
<2>

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?for?any?q?>?0.?If?the?firm?decides
to?produce?q?=?0,?however,?its?cost?is?0.?The?market?price?is?p.?If?p?=?40,?the?firm?s?optimum?output?is?[Question?ID?=?5348]
1.?0?[Option?ID?=?21389]
2.?30?[Option?ID?=?21392]
3.?10?[Option?ID?=?21390]

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4.?20?[Option?ID?=?21391]
Correct?Answer?:?Full?Marks?Given?to?all?the?candidates
For?a?system?of?linear?equations?Ax?=?b?with?m?equations?and?n?variables?where?m?>?n?and?b?is?a?given?vector,?the?following?is?true.?[Question
ID?=?5362]
1.?It?can?never?have?a?unique?solution.?[Option?ID?=?21445]

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2.?It?has?at?least?a?one?dimensional?solution?space.?[Option?ID?=?21447]
3.?If?Rank(A)?=?n?and?a?solution?exists?it?must?be?unique.?[Option?ID?=?21448]
4.?It?always?has?at?least?one?solution.?[Option?ID?=?21446]
Correct?Answer?:?
If?Rank(A)?=?n?and?a?solution?exists?it?must?be?unique.?[Option?ID?=?21448]

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Given?below?are?the?equations?that?characterise?an?economy?in?the?short?term.
Y=C+I+G?
C=1000+0.8(Y?T)?
I=1500?
G=2000?

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T=1000
A?reduction?in?lump?sum?taxes?from?1000?to?500?will?have?the?following?effect?on?equilibrium?output:?[Question?ID?=?5384]
1.?it?will?increase?by?1000?units.?[Option?ID?=?21535]
2.?it?will?increase?by?2000?units.?[Option?ID?=?21534]
3.?it?will?increase?by?500?units.?[Option?ID?=?21536]

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4.?it?will?increase?by?2500?units.?[Option?ID?=?21533]
Correct?Answer?:?
it?will?increase?by?2000?units.?[Option?ID?=?21534]
The?optimal?output?of?joint?products?that?are?produced?in?fixed?proportions?is?found?where?[Question?ID?=?5344]
1.?the?marginal?cost?is?equal?to?the?corresponding?price?of?each?product.?[Option?ID?=?21376]

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2.?the?horizontal?sum?of?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21374]
3.?the?vertical?sum?of?the?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21373]
4.?the?marginal?revenue?from?each?product?is?equal?to?the?marginal?cost?of?producing?each?product.?[Option?ID?=?21375]
Correct?Answer?:?
the?vertical?sum?of?the?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21373]

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Conditional?convergence?hypothesis?states?that?[Question?ID?=?5387]
1.?poorer?countries?will?always?grow?slower?than?richer?countries.?[Option?ID?=?21546]
2.?a?country?will?grow?slower?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21548]
3.?a?country?will?grow?faster?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21547]
4.?poorer?countries?will?always?grow?faster?than?richer?countries.?[Option?ID?=?21545]

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Correct?Answer?:?
a?country?will?grow?faster?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21547]
20)?
21)?
22)?

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23)?
A?society?has?3?individuals?and?3?alternatives?A,?B?and?C.?Individuals?1?and?2?strictly?prefer?A?to?B?and?B?to?C.?Individual?3?strictly?prefers?C?to?B?and
B?to?A.?A?Rawlsian?social?planner?would?therefore?choose?[Question?ID?=?5355]
1.?B.?[Option?ID?=?21418]
2.?A?or?C?[Option?ID?=?21420]

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3.?C.?[Option?ID?=?21419]
4.?A.?[Option?ID?=?21417]
Correct?Answer?:?
B.?[Option?ID?=?21418]
You?estimate?the?multiple?regression?Y?=?a+b1(X1)?+b2(X2)?+u?with?a?large?sample.?Let?t1?be?the?test?statistic?for?testing?the?null?hypothesis

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b1?=?0?and?t2?be?the?test?statistic?for?testing?the?null?hypothesis?b2?=?0.?Suppose?you?test?the?joint?null?hypothesis?that?b1?=?b2?=?0?using?the
principle?'reject?the?null?if?either?t1?or?t2?exceeds?1.96?in?absolute?value',?taking?t1?and?t2?to?be?independently?distributed.?[Question?ID?=?5374]
1.?The?probability?of?Type?I?error?is?less?than?or?equal?to?5?percent?in?this?case.?[Option?ID?=?21495]
2.?The?probability?of?Type?I?error?is?less?than?5?percent?in?this?case.?[Option?ID?=?21496]
3.?The?probability?of?Type?I?error?is?5?percent?in?this?case.?[Option?ID?=?21493]

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4.?The?probability?of?Type?I?error?is?more?than?5?percent?but?less?than?10?percent?in?this?case?[Option?ID?=?21494]
Correct?Answer?:?
The?probability?of?Type?I?error?is?more?than?5?percent?but?less?than?10?percent?in?this?case?[Option?ID?=?21494]
[Question?ID?=?5358]
1.?a?point?of?inflection.?[Option?ID?=?21431]

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2.?a?local?minimum.?[Option?ID?=?21429]
3.?a?local?maximum.?[Option?ID?=?21430]
4.?None?of?these.?[Option?ID?=?21432]
Correct?Answer?:?
a?local?maximum.?[Option?ID?=?21430]

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[Question?ID?=?5350]
1.?20?units.?[Option?ID?=?21397]
2.?10?units.?[Option?ID?=?21399]
3.?5?units.?[Option?ID?=?21400]
4.?15?units.?[Option?ID?=?21398]

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Correct?Answer?:?
15?units.?[Option?ID?=?21398]
[Question?ID?=?5351]
1.?0?[Option?ID?=?21404]
2.?7?[Option?ID?=?21401]

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3.?5?[Option?ID?=?21402]
4.?2?[Option?ID?=?21403]
Correct?Answer?:?
24)?
25)?

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26)?
2?[Option?ID?=?21403]
[Question?ID?=?5364]
1.?b?>?3?[Option?ID?=?21454]
2.?b?>?2?[Option?ID?=?21456]

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3.?b?2?2="">?[Option?ID?=?21455]
4.?b?3?3="">?[Option?ID?=?21453]
Correct?Answer?:?Full?Marks?Given?to?all?the?candidates
[Question?ID?=?5379]
1.? ?[Option?ID?=?21516]

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2.? ?[Option?ID?=?21514]
3.? ?[Option?ID?=?21513]
4.? ?[Option?ID?=?21515]
Correct?Answer?:?
?[Option?ID?=?21515]

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27)?
28)?
[Question?ID?=?5385]
1.? ?[Option?ID?=?21538]
2.? ?[Option?ID?=?21539]

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3.? ?[Option?ID?=?21540]
4.? ?[Option?ID?=?21537]
Correct?Answer?:?
?[Option?ID?=?21539]
[Question?ID?=?5380]

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1.? ?[Option?ID?=?21519]
2.? ?[Option?ID?=?21517]
3.? ?[Option?ID?=?21518]
4.? ?[Option?ID?=?21520]
Correct?Answer?:?

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?[Option?ID?=?21517]
29)?
30)?
31)?
[Question?ID?=?5347]

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1.?(x1?y1)?=?(30?20),?(x2?y2)?=?(30?40)?[Option?ID?=?21388]
2.?(x1?y1)?=?(30?30),?(x2?y2)?=?(30?30)?[Option?ID?=?21386]
3.?(x1?y1)?=?(40?20),?(x2?y2)?=?(20?40)?[Option?ID?=?21387]
4.?(x1?y1)?=?(20?40),?(x2?y2)?=?(40?20)?[Option?ID?=?21385]
Correct?Answer?:?

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(x1?y1)?=?(40?20),?(x2?y2)?=?(20?40)?[Option?ID?=?21387]
[Question?ID?=?5381]
1.? ?[Option?ID?=?21521]
2.? ?[Option?ID?=?21522]
3.? ?[Option?ID?=?21523]

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4.?None?of?these?[Option?ID?=?21524]
Correct?Answer?:?
?[Option?ID?=?21523]
[Question?ID?=?5372]
1.? ?[Option?ID?=?21485]

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2.? ?[Option?ID?=?21488]
3.? ?[Option?ID?=
21487]
4.? ?[Option?ID?=?21486]
Correct?Answer?:?

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?[Option?ID?=?21486]
32)?
33)?
34)?
[Question?ID?=?5361]

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1.?linearly?dependent?only?if?a1,?a2,?,?an?are?linearly?dependent.?[Option?ID?=?21443]
2.?linearly?dependent.?[Option?ID?=?21442]
3.?linearly?independent.?[Option?ID?=?21441]
4.?linearly?dependent?only?if?m?=?n.?[Option?ID?=?21444]
Correct?Answer?:?

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linearly?dependent.?[Option?ID?=?21442]
[Question?ID?=?5386]
1.?There?does?not?exist?any?money?market?equilibrating?relationship?between?interest?rate?and?income.?[Option?ID?=?21544]
2.?The?LM?curve?is?horizontal.?[Option?ID?=?21542]
3.?The?LM?curve?is?downward?sloping.?[Option?ID?=?21543]

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4.?The?LM?curve?is?vertical.?[Option?ID?=?21541]
Correct?Answer?:?
There?does?not?exist?any?money?market?equilibrating?relationship?between?interest?rate?and?income.?[Option?ID?=?21544]
[Question?ID?=?5382]
1.? ?[Option?ID?=?21527]

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2.? ?[Option?ID?=?21528]
3.? ?[Option?ID?=?21525]
4.? ?[Option?ID?=?21526]
Correct?Answer?:?
?[Option?ID?=?21528]

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35)?
36)?
[Question?ID?=?5342]
1.?p=0?and?q=0?[Option?ID?=?21365]
2.?p=0?and?q=1?[Option?ID?=?21367]

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3.?p=1?and?q=0?[Option?ID?=?21366]
4.?p=0.5?and?q=0.5?[Option?ID?=?21368]
Correct?Answer?:?
p=0?and?q=0?[Option?ID?=?21365]
[Question?ID?=?5371]

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1.? ?[Option?ID?=?21482]
2.? ?[Option?ID?=?21481]
3.? ?[Option?ID?=?21484]
4.? ?[Option?ID?=?21483]
Correct?Answer?:?

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?[Option?ID?=?21483]
[Question?ID?=?5356]
1.? ?[Option?ID?=?21422]
2.? ?[Option?ID?=?21424]
3.? ?[Option?ID?=?21421]

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4.? ?[Option?ID?=?21423]
Correct?Answer?:?Full?Marks?Given?to?all?the?candidates
FirstRanker.com - FirstRanker's Choice
1)?
2)?

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3)?
4)?
5)?
DU?Mphil?Phd?in?Economics
Topic:?DU_J18_MPHIL_ECO_Topic01

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Suppose?A?and?B?are?square?matrices?that?satisfy?AB?+?BA?=?0,?where?0?is?a?square?matrix?of?zeros.?Then?it?must?be?that?[Question?ID?=?5365]
1.? ?[Option?ID?=?21458]
2.? ?[Option?ID?=?21460]
3.? ?[Option?ID?=?21459]
4.? ?[Option?ID?=?21457]

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Correct?Answer?:?
?[Option?ID?=?21457]
Suppose?a?real?valued?function?f?is?defined?for?all?real?numbers?except?0,?and?satisfies?the?following?condition:?f(xy)?=?f(x)?+?f(y)?for?all?x,?y?in
the?domain.?Consider?the?statements:
f(1)?=?f(?1)?=?0?(i)

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f(x)?=?f(?x)?for?every?x?(ii)?[Question?ID?=?5363]
1.?(i)?is?true?and?(ii)?is?false.?[Option?ID?=?21449]
2.?(i)?is?false?and?(ii)?is?true.?[Option?ID?=?21450]
3.?Both?are?true.?[Option?ID?=?21451]
4.?Both?are?false?[Option?ID?=?21452]

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Correct?Answer?:?
Both?are?true.?[Option?ID?=?21451]
Suppose?Frank?can?either?hunt?for?birds?(b)?or?forage?for?wild?berries?(w)?on?his?isolated?island?property.?He?can?catch?two?birds?or?gather
three?pounds?of?berries?in?an?hour.?He?only?has?12?hours?a?week?to?devote?to?these?activities.?His?utility?function?for?birds?and?berries?is?u(w,b)?=
bw

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0.5
.?What?is?the?slope?of?his?production?possibilities?frontier?[Question?ID?=?5338]
1.?2/3?[Option?ID?=?21351]
2.?3/2?[Option?ID?=?21350]
3.?2/3?[Option?ID?=?21352]

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4.?3/2?[Option?ID?=?21349]
Correct?Answer?:?
?2/3?[Option?ID?=?21352]
Suppose?the?net?cost?of?undertaking?a?venture?is?rupees?1800?if?beta?1?and?the?net?profit?is?rupees?Q?if?beta?is?greater?than?1.?Your?posterior
distribution?of?beta?is?normal?with?mean?2.28?and?variance?unity.?Any?value?of?Q?bigger?than?what?number?entices?you?to?take?this?venture?Note

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that?the?critical?values?(z)?corresponding?to?the?following?tail?areas?(alpha)?under?a?standard?normal?are:?alpha=0.10?then?z=1.28?alpha=0.05
then?z=1.645?alpha=0.025?then?z=1.96?alpha=0.01?then?z=2.33?[Question?ID?=?5376]
1.?450?[Option?ID?=?21504]
2.?300?[Option?ID?=?21503]
3.?200?[Option?ID?=?21502]

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4.?100?[Option?ID?=?21501]
Correct?Answer?:?
200?[Option?ID?=?21502]
Suppose?you?have?a?random?sample?of?100?observations?on?a?variable?x?which?is?distributed?normally?with?mean?14?and?variance?8.?The?sample
average,?xbar,?is?15?and?the?sample?variance?is?7.?Then?the?mean?and?variance?of?the?sampling?distribution?of?xbar?is?[Question?ID?=?5369]

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1.?14?and?0.08,?respectively?[Option?ID?=?21476]
2.?14?and?8,?respectively?[Option?ID?=?21475]
3.?15?and?7,?respectively?[Option?ID?=?21473]
4.?15?and?0.07,?respectively?[Option?ID?=?21474]
Correct?Answer?:?

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14?and?0.08,?respectively?[Option?ID?=?21476]
6)?
7)?
8)?
9)?

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10)?
11)?
12)?
Strategy?A?has?an?expected?value?of?10?and?a?standard?deviation?of?3.?Strategy?B?has?an?expected?value?of?10?and?a?standard?deviation?of?5.
Strategy?C?has?an?expected?value?of?15?and?a?standard?deviation?of?10.?Which?one?of?the?following?statements?is?true?[Question?ID?=?5340]

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1.?A?risk?neutral?decision?maker?will?always?prefer?C?to?A?or?B.?[Option?ID?=?21358]
2.?A?risk?seeking?decision?maker?will?always?prefer?C?to?A?or?B.?[Option?ID?=?21359]
3.?A?risk?averse?decision?maker?will?always?prefer?A?to?B,?but?may?prefer?C?to?A.?[Option?ID?=?21357]
4.?All?of?these?[Option?ID?=?21360]
Correct?Answer?:?

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All?of?these?[Option?ID?=?21360]
An?n?gon?is?a?regular?polygon?with?n?equal?sides.?Find?the?number?of?diagonals?(edges?of?an?n?gon?are?not?considered?as?diagonals)?of?a?10?
gon.?[Question?ID?=?5366]
1.?45?diagonals?[Option?ID?=?21464]
2.?25?diagonals?[Option?ID?=?21462]

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3.?20?diagonals?[Option?ID?=?21461]
4.?35?diagonals?[Option?ID?=?21463]
Correct?Answer?:?
35?diagonals?[Option?ID?=?21463]
The?Nintari?Company?produces?video?game?playing?machines?and?a?second?firm,?Necsega,?owns?exclusive?rights?to?manufacture?games?that?can

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be?used?with?the?Nintari?game?machine.?Both?of?these?imperfectly?competitive?firms?are?maximizing?profits.?If?Nintari?buys?Necsega?and?nothing
else?changes,?then?profits?will?be?maximized?if?Nintari?[Question?ID?=?5343]
1.?does?not?change?the?prices?of?game?machines?or?games.?[Option?ID?=?21370]
2.?decreases?the?prices?of?game?machines?and?games.?[Option?ID?=?21369]
3.?increases?the?prices?of?game?machines?and?games.?[Option?ID?=?21371]

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4.?All?of?these?[Option?ID?=?21372]
Correct?Answer?:?
decreases?the?prices?of?game?machines?and?games.?[Option?ID?=?21369]
Consider?an?otherwise?Solovian?economy?with?one?exception:?the?production?function?does?not?exhibit?decreasing?marginal?returns?with?respect
to?capital.?In?this?case,?which?of?the?following?statement?is?NOT?true?[Question?ID?=?5378]

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1.?The?economy?would?grow?perpetually?over?time?and?the?capital?labour?ratio?will?not?converge?to?a?unique?steady?state.?[Option?ID?=?21511]
2.?Per?capita?consumption?would?remain?constant?over?time.?[Option?ID?=?21512]
3.?An?increase?in?the?rate?of?saving?could?lead?to?a?permanent?increase?in?the?rate?of?growth?of?per?capita?income.?[Option?ID?=?21509]
4.?An?increase?in?the?rate?of?growth?of?population?could?lead?to?a?permanent?decrease?in?the?rate?of?growth?of?per?capita?income.?[Option?ID?=?21510]
Correct?Answer?:?

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Per?capita?consumption?would?remain?constant?over?time.?[Option?ID?=?21512]
Consider?the?function?f?mapping?points?of?the?plane?into?the?plane?defined?by?f(x,?y)?=?(x?y,?x?+?y).?The?range?of?this?function?is?[Question?ID
=?5359]
1.?the?45?degree?line.?[Option?ID?=?21433]
2.?a?ray?through?the?origin?but?not?the?45?degree?line.?[Option?ID?=?21434]

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3.?the?entire?plane.?[Option?ID?=?21435]
4.?the?first?and?third?quadrants.?[Option?ID?=?21436]
Correct?Answer?:?
the?entire?plane.?[Option?ID?=?21435]
Consider?a?firm?using?two?inputs?to?produce?its?output.?It?is?known?that?greater?use?of?both?inputs?increases?output.?Moreover,?for?any

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combination?of?positive?input?prices,?the?firm?employs?an?input?combination?of?the?form?(x,?y=?x)?where?>?0?is?a?constant.?Which?of?the?following
functions?represents?this?firm's?technology?[Question?ID?=?5353]
1.?f(x,?y)?=?min{x
>
,?y}?[Option?ID?=?21409]

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2.?f(x,?y)?=?min{?x,?y}?[Option?ID?=?21410]
3.?f(x,?y)?=?min{x,?y
>
}?[Option?ID?=?21412]
4.?f(x,?y)?=?min{x,?y}?[Option?ID?=?21411]

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Correct?Answer?:?
f(x,?y)?=?min{?x,?y}?[Option?ID?=?21410]
The?optimal?combination?of?joint?products?that?are?produced?in?variable?proportions?is?found?where?[Question?ID?=?5345]
1.?the?isorevenue?line?is?tangent?to?the?relevant?total?cost?curve.?[Option?ID?=?21379]
2.?the?isorevenue?line?is?tangent?to?the?product?transformation?curve.?[Option?ID?=?21378]

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3.?None?of?these?[Option?ID?=?21380]
4.?the?marginal?revenue?from?each?product?is?equal?to?the?marginal?cost?of?producing?each?product.?[Option?ID?=?21377]
13)?
14)?
15)?

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16)?
17)?
18)?
19)?
Correct?Answer?:?

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the?isorevenue?line?is?tangent?to?the?product?transformation?curve.?[Option?ID?=?21378]
The?J?curve?describes?the?following?phenomenon:?[Question?ID?=?5383]
1.?A?change?in?nominal?exchange?rates?will?affect?relative?prices?only?in?the?short?run?but?the?effect?will?peter?out?in?the?long?run.?[Option?ID?=?21529]
2.?Depreciation?of?the?domestic?currency?will?worsen?the?trade?balance?in?the?short?run?but?will?then?gradually?improve?later?as?volume?effects?come?to?dominate.
[Option?ID?=?21530]

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3.?An?appreciation?of?the?domestic?currency?will?always?worsen?the?trade?balance.?[Option?ID?=?21531]
4.?An?increase?in?price?level?will?reduce?the?aggregate?demand?only?in?the?short?but?the?effect?will?peter?out?in?the?long?run.?[Option?ID?=?21532]
Correct?Answer?:?
Depreciation?of?the?domestic?currency?will?worsen?the?trade?balance?in?the?short?run?but?will?then?gradually?improve?later?as?volume?effects?come?to?dominate.
[Option?ID?=?21530]

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A?profit?maximising?firm?operating?in?a?perfectly?competitive?market?has?the?cost?function?c(q)?=?100?+?q
<2>
?for?any?q?>?0.?If?the?firm?decides
to?produce?q?=?0,?however,?its?cost?is?0.?The?market?price?is?p.?If?p?=?40,?the?firm?s?optimum?output?is?[Question?ID?=?5348]
1.?0?[Option?ID?=?21389]

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2.?30?[Option?ID?=?21392]
3.?10?[Option?ID?=?21390]
4.?20?[Option?ID?=?21391]
Correct?Answer?:?Full?Marks?Given?to?all?the?candidates
For?a?system?of?linear?equations?Ax?=?b?with?m?equations?and?n?variables?where?m?>?n?and?b?is?a?given?vector,?the?following?is?true.?[Question

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ID?=?5362]
1.?It?can?never?have?a?unique?solution.?[Option?ID?=?21445]
2.?It?has?at?least?a?one?dimensional?solution?space.?[Option?ID?=?21447]
3.?If?Rank(A)?=?n?and?a?solution?exists?it?must?be?unique.?[Option?ID?=?21448]
4.?It?always?has?at?least?one?solution.?[Option?ID?=?21446]

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Correct?Answer?:?
If?Rank(A)?=?n?and?a?solution?exists?it?must?be?unique.?[Option?ID?=?21448]
Given?below?are?the?equations?that?characterise?an?economy?in?the?short?term.
Y=C+I+G?
C=1000+0.8(Y?T)?

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I=1500?
G=2000?
T=1000
A?reduction?in?lump?sum?taxes?from?1000?to?500?will?have?the?following?effect?on?equilibrium?output:?[Question?ID?=?5384]
1.?it?will?increase?by?1000?units.?[Option?ID?=?21535]

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2.?it?will?increase?by?2000?units.?[Option?ID?=?21534]
3.?it?will?increase?by?500?units.?[Option?ID?=?21536]
4.?it?will?increase?by?2500?units.?[Option?ID?=?21533]
Correct?Answer?:?
it?will?increase?by?2000?units.?[Option?ID?=?21534]

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The?optimal?output?of?joint?products?that?are?produced?in?fixed?proportions?is?found?where?[Question?ID?=?5344]
1.?the?marginal?cost?is?equal?to?the?corresponding?price?of?each?product.?[Option?ID?=?21376]
2.?the?horizontal?sum?of?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21374]
3.?the?vertical?sum?of?the?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21373]
4.?the?marginal?revenue?from?each?product?is?equal?to?the?marginal?cost?of?producing?each?product.?[Option?ID?=?21375]

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Correct?Answer?:?
the?vertical?sum?of?the?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21373]
Conditional?convergence?hypothesis?states?that?[Question?ID?=?5387]
1.?poorer?countries?will?always?grow?slower?than?richer?countries.?[Option?ID?=?21546]
2.?a?country?will?grow?slower?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21548]

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3.?a?country?will?grow?faster?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21547]
4.?poorer?countries?will?always?grow?faster?than?richer?countries.?[Option?ID?=?21545]
Correct?Answer?:?
a?country?will?grow?faster?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21547]
20)?

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21)?
22)?
23)?
A?society?has?3?individuals?and?3?alternatives?A,?B?and?C.?Individuals?1?and?2?strictly?prefer?A?to?B?and?B?to?C.?Individual?3?strictly?prefers?C?to?B?and
B?to?A.?A?Rawlsian?social?planner?would?therefore?choose?[Question?ID?=?5355]

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1.?B.?[Option?ID?=?21418]
2.?A?or?C?[Option?ID?=?21420]
3.?C.?[Option?ID?=?21419]
4.?A.?[Option?ID?=?21417]
Correct?Answer?:?

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B.?[Option?ID?=?21418]
You?estimate?the?multiple?regression?Y?=?a+b1(X1)?+b2(X2)?+u?with?a?large?sample.?Let?t1?be?the?test?statistic?for?testing?the?null?hypothesis
b1?=?0?and?t2?be?the?test?statistic?for?testing?the?null?hypothesis?b2?=?0.?Suppose?you?test?the?joint?null?hypothesis?that?b1?=?b2?=?0?using?the
principle?'reject?the?null?if?either?t1?or?t2?exceeds?1.96?in?absolute?value',?taking?t1?and?t2?to?be?independently?distributed.?[Question?ID?=?5374]
1.?The?probability?of?Type?I?error?is?less?than?or?equal?to?5?percent?in?this?case.?[Option?ID?=?21495]

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2.?The?probability?of?Type?I?error?is?less?than?5?percent?in?this?case.?[Option?ID?=?21496]
3.?The?probability?of?Type?I?error?is?5?percent?in?this?case.?[Option?ID?=?21493]
4.?The?probability?of?Type?I?error?is?more?than?5?percent?but?less?than?10?percent?in?this?case?[Option?ID?=?21494]
Correct?Answer?:?
The?probability?of?Type?I?error?is?more?than?5?percent?but?less?than?10?percent?in?this?case?[Option?ID?=?21494]

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[Question?ID?=?5358]
1.?a?point?of?inflection.?[Option?ID?=?21431]
2.?a?local?minimum.?[Option?ID?=?21429]
3.?a?local?maximum.?[Option?ID?=?21430]
4.?None?of?these.?[Option?ID?=?21432]

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Correct?Answer?:?
a?local?maximum.?[Option?ID?=?21430]
[Question?ID?=?5350]
1.?20?units.?[Option?ID?=?21397]
2.?10?units.?[Option?ID?=?21399]

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3.?5?units.?[Option?ID?=?21400]
4.?15?units.?[Option?ID?=?21398]
Correct?Answer?:?
15?units.?[Option?ID?=?21398]
[Question?ID?=?5351]

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1.?0?[Option?ID?=?21404]
2.?7?[Option?ID?=?21401]
3.?5?[Option?ID?=?21402]
4.?2?[Option?ID?=?21403]
Correct?Answer?:?

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24)?
25)?
26)?
2?[Option?ID?=?21403]
[Question?ID?=?5364]

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1.?b?>?3?[Option?ID?=?21454]
2.?b?>?2?[Option?ID?=?21456]
3.?b?2?2="">?[Option?ID?=?21455]
4.?b?3?3="">?[Option?ID?=?21453]
Correct?Answer?:?Full?Marks?Given?to?all?the?candidates

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[Question?ID?=?5379]
1.? ?[Option?ID?=?21516]
2.? ?[Option?ID?=?21514]
3.? ?[Option?ID?=?21513]
4.? ?[Option?ID?=?21515]

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Correct?Answer?:?
?[Option?ID?=?21515]
27)?
28)?
[Question?ID?=?5385]

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1.? ?[Option?ID?=?21538]
2.? ?[Option?ID?=?21539]
3.? ?[Option?ID?=?21540]
4.? ?[Option?ID?=?21537]
Correct?Answer?:?

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?[Option?ID?=?21539]
[Question?ID?=?5380]
1.? ?[Option?ID?=?21519]
2.? ?[Option?ID?=?21517]
3.? ?[Option?ID?=?21518]

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4.? ?[Option?ID?=?21520]
Correct?Answer?:?
?[Option?ID?=?21517]
29)?
30)?

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31)?
[Question?ID?=?5347]
1.?(x1?y1)?=?(30?20),?(x2?y2)?=?(30?40)?[Option?ID?=?21388]
2.?(x1?y1)?=?(30?30),?(x2?y2)?=?(30?30)?[Option?ID?=?21386]
3.?(x1?y1)?=?(40?20),?(x2?y2)?=?(20?40)?[Option?ID?=?21387]

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4.?(x1?y1)?=?(20?40),?(x2?y2)?=?(40?20)?[Option?ID?=?21385]
Correct?Answer?:?
(x1?y1)?=?(40?20),?(x2?y2)?=?(20?40)?[Option?ID?=?21387]
[Question?ID?=?5381]
1.? ?[Option?ID?=?21521]

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2.? ?[Option?ID?=?21522]
3.? ?[Option?ID?=?21523]
4.?None?of?these?[Option?ID?=?21524]
Correct?Answer?:?
?[Option?ID?=?21523]

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[Question?ID?=?5372]
1.? ?[Option?ID?=?21485]
2.? ?[Option?ID?=?21488]
3.? ?[Option?ID?=
21487]

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4.? ?[Option?ID?=?21486]
Correct?Answer?:?
?[Option?ID?=?21486]
32)?
33)?

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34)?
[Question?ID?=?5361]
1.?linearly?dependent?only?if?a1,?a2,?,?an?are?linearly?dependent.?[Option?ID?=?21443]
2.?linearly?dependent.?[Option?ID?=?21442]
3.?linearly?independent.?[Option?ID?=?21441]

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4.?linearly?dependent?only?if?m?=?n.?[Option?ID?=?21444]
Correct?Answer?:?
linearly?dependent.?[Option?ID?=?21442]
[Question?ID?=?5386]
1.?There?does?not?exist?any?money?market?equilibrating?relationship?between?interest?rate?and?income.?[Option?ID?=?21544]

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2.?The?LM?curve?is?horizontal.?[Option?ID?=?21542]
3.?The?LM?curve?is?downward?sloping.?[Option?ID?=?21543]
4.?The?LM?curve?is?vertical.?[Option?ID?=?21541]
Correct?Answer?:?
There?does?not?exist?any?money?market?equilibrating?relationship?between?interest?rate?and?income.?[Option?ID?=?21544]

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[Question?ID?=?5382]
1.? ?[Option?ID?=?21527]
2.? ?[Option?ID?=?21528]
3.? ?[Option?ID?=?21525]
4.? ?[Option?ID?=?21526]

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Correct?Answer?:?
?[Option?ID?=?21528]
35)?
36)?
[Question?ID?=?5342]

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1.?p=0?and?q=0?[Option?ID?=?21365]
2.?p=0?and?q=1?[Option?ID?=?21367]
3.?p=1?and?q=0?[Option?ID?=?21366]
4.?p=0.5?and?q=0.5?[Option?ID?=?21368]
Correct?Answer?:?

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p=0?and?q=0?[Option?ID?=?21365]
[Question?ID?=?5371]
1.? ?[Option?ID?=?21482]
2.? ?[Option?ID?=?21481]
3.? ?[Option?ID?=?21484]

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4.? ?[Option?ID?=?21483]
Correct?Answer?:?
?[Option?ID?=?21483]
[Question?ID?=?5356]
1.? ?[Option?ID?=?21422]

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2.? ?[Option?ID?=?21424]
3.? ?[Option?ID?=?21421]
4.? ?[Option?ID?=?21423]
Correct?Answer?:?Full?Marks?Given?to?all?the?candidates
37)?

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38)?
39)?
40)?
41)?
42)?

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43)?
[Question?ID?=?5360]
1.?1?[Option?ID?=?21437]
2.?Cannot?be?determined.?[Option?ID?=?21440]
3.?2?[Option?ID?=?21438]

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4.?n?1?[Option?ID?=?21439]
Correct?Answer?:?
2?[Option?ID?=?21438]
Which?of?the?following?are?plausible?approaches?to?dealing?with?a?model?that?exhibits?heteroscedasticity?[Question?ID?=?5375]
1.?Both?Take?logarithms?of?each?of?the?variables.?and?Add?lagged?values?of?the?variables?to?the?regression?equation.?[Option?ID?=?21500]

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2.?Neither?Take?logarithms?of?each?of?the?variables.?not?Add?lagged?values?of?the?variables?to?the?regression?equation.?[Option?ID?=?21499]
3.?Add?lagged?values?of?the?variables?to?the?regression?equation.?[Option?ID?=?21498]
4.?Take?logarithms?of?each?of?the?variables.?[Option?ID?=?21497]
Correct?Answer?:?
Take?logarithms?of?each?of?the?variables.?[Option?ID?=?21497]

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A?firm?has?two?products?and?two?customers.?Customer?1?is?willing?to?pay?$9?for?Product?A?and?$4?for?Product?B.?Customer?2?is?willing?to?pay?$7
for?Product?A?and?$5?for?Product?B.?Can?the?firm?increase?revenue?by?bundling?and,?if?so,?how?much?should?be?charged?for?the?bundle?[Question?ID
=?5346]
1.?The?firm?can?increase?profits?by?bundling.?The?bundle?should?sell?for?$10.?[Option?ID?=?21383]
2.?The?firm?can?increase?profits?by?bundling.?The?bundle?should?sell?for?$7.?[Option?ID?=?21384]

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3.?The?firm?can?increase?profits?by?bundling.?The?bundle?should?sell?for?$12.?[Option?ID?=?21382]
4.?The?firm?cannot?increase?profits?by?bundling.?[Option?ID?=?21381]
Correct?Answer?:?
The?firm?can?increase?profits?by?bundling.?The?bundle?should?sell?for?$12.?[Option?ID?=?21382]
The?equation?x

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<7>
?=?x?+?1?[Question?ID?=?5367]
1.?has?no?positive?real?solution.?[Option?ID?=?21466]
2.?has?no?real?solution.?[Option?ID?=?21465]
3.?has?a?real?solution?but?not?within?(0,?2).?[Option?ID?=?21468]

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4.?has?a?real?solution?in?the?interval?(0,?2).?[Option?ID?=?21467]
Correct?Answer?:?Full?Marks?Given?to?all?the?candidates
A?friend?tells?you?her?multiple?regression?has?a?very?high?R?square?but?all?the?coefficients?of?the?regression?slopes?are?insignificantly?different
from?zero?on?the?basis?of?ttests?of?significance.?This?has?probably?happened?because?[Question?ID?=?5373]
1.?explanatory?variables?are?highly?collinear.?[Option?ID?=?21491]

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2.?the?dependent?variable?does?not?vary?by?much.?[Option?ID?=?21492]
3.?the?intercept?has?been?omitted.?[Option?ID?=?21489]
4.?explanatory?variables?are?highly?orthogonal.?[Option?ID?=?21490]
Correct?Answer?:?
explanatory?variables?are?highly?collinear.?[Option?ID?=?21491]

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You?have?100?observations?on?y?(average?value?15)?and?on?x?(average?value?8)?and?and?from?an?OLS?regression?have?estimated?the?slope?on?x
to?be?2.?Your?estimate?of?the?mean?of?y?conditioned?on?x?is?[Question?ID?=?5368]
1.?None?of?these.?[Option?ID?=?21472]
2.?16?[Option?ID?=?21470]
3.?15?[Option?ID?=?21469]

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4.?17?[Option?ID?=?21471]
Correct?Answer?:?
None?of?these.?[Option?ID?=?21472]
A?profit?maximising?firm?operating?in?a?perfectly?competitive?market?has?the?cost?function?c(q)?=?100?+?q
<2>

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?for?any?q?>?0.?If?the?firm?decides
to?produce?q?=?0,?however,?its?cost?is?0.?The?market?price?is?p.?If?p?=?10,?the?.firm?s?optimum?output?is?[Question?ID?=?5349]
1.?0?[Option?ID?=?21393]
FirstRanker.com - FirstRanker's Choice
1)?

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2)?
3)?
4)?
5)?
DU?Mphil?Phd?in?Economics

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Topic:?DU_J18_MPHIL_ECO_Topic01
Suppose?A?and?B?are?square?matrices?that?satisfy?AB?+?BA?=?0,?where?0?is?a?square?matrix?of?zeros.?Then?it?must?be?that?[Question?ID?=?5365]
1.? ?[Option?ID?=?21458]
2.? ?[Option?ID?=?21460]
3.? ?[Option?ID?=?21459]

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4.? ?[Option?ID?=?21457]
Correct?Answer?:?
?[Option?ID?=?21457]
Suppose?a?real?valued?function?f?is?defined?for?all?real?numbers?except?0,?and?satisfies?the?following?condition:?f(xy)?=?f(x)?+?f(y)?for?all?x,?y?in
the?domain.?Consider?the?statements:

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f(1)?=?f(?1)?=?0?(i)
f(x)?=?f(?x)?for?every?x?(ii)?[Question?ID?=?5363]
1.?(i)?is?true?and?(ii)?is?false.?[Option?ID?=?21449]
2.?(i)?is?false?and?(ii)?is?true.?[Option?ID?=?21450]
3.?Both?are?true.?[Option?ID?=?21451]

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4.?Both?are?false?[Option?ID?=?21452]
Correct?Answer?:?
Both?are?true.?[Option?ID?=?21451]
Suppose?Frank?can?either?hunt?for?birds?(b)?or?forage?for?wild?berries?(w)?on?his?isolated?island?property.?He?can?catch?two?birds?or?gather
three?pounds?of?berries?in?an?hour.?He?only?has?12?hours?a?week?to?devote?to?these?activities.?His?utility?function?for?birds?and?berries?is?u(w,b)?=

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bw
0.5
.?What?is?the?slope?of?his?production?possibilities?frontier?[Question?ID?=?5338]
1.?2/3?[Option?ID?=?21351]
2.?3/2?[Option?ID?=?21350]

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3.?2/3?[Option?ID?=?21352]
4.?3/2?[Option?ID?=?21349]
Correct?Answer?:?
?2/3?[Option?ID?=?21352]
Suppose?the?net?cost?of?undertaking?a?venture?is?rupees?1800?if?beta?1?and?the?net?profit?is?rupees?Q?if?beta?is?greater?than?1.?Your?posterior

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distribution?of?beta?is?normal?with?mean?2.28?and?variance?unity.?Any?value?of?Q?bigger?than?what?number?entices?you?to?take?this?venture?Note
that?the?critical?values?(z)?corresponding?to?the?following?tail?areas?(alpha)?under?a?standard?normal?are:?alpha=0.10?then?z=1.28?alpha=0.05
then?z=1.645?alpha=0.025?then?z=1.96?alpha=0.01?then?z=2.33?[Question?ID?=?5376]
1.?450?[Option?ID?=?21504]
2.?300?[Option?ID?=?21503]

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3.?200?[Option?ID?=?21502]
4.?100?[Option?ID?=?21501]
Correct?Answer?:?
200?[Option?ID?=?21502]
Suppose?you?have?a?random?sample?of?100?observations?on?a?variable?x?which?is?distributed?normally?with?mean?14?and?variance?8.?The?sample

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average,?xbar,?is?15?and?the?sample?variance?is?7.?Then?the?mean?and?variance?of?the?sampling?distribution?of?xbar?is?[Question?ID?=?5369]
1.?14?and?0.08,?respectively?[Option?ID?=?21476]
2.?14?and?8,?respectively?[Option?ID?=?21475]
3.?15?and?7,?respectively?[Option?ID?=?21473]
4.?15?and?0.07,?respectively?[Option?ID?=?21474]

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Correct?Answer?:?
14?and?0.08,?respectively?[Option?ID?=?21476]
6)?
7)?
8)?

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9)?
10)?
11)?
12)?
Strategy?A?has?an?expected?value?of?10?and?a?standard?deviation?of?3.?Strategy?B?has?an?expected?value?of?10?and?a?standard?deviation?of?5.

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Strategy?C?has?an?expected?value?of?15?and?a?standard?deviation?of?10.?Which?one?of?the?following?statements?is?true?[Question?ID?=?5340]
1.?A?risk?neutral?decision?maker?will?always?prefer?C?to?A?or?B.?[Option?ID?=?21358]
2.?A?risk?seeking?decision?maker?will?always?prefer?C?to?A?or?B.?[Option?ID?=?21359]
3.?A?risk?averse?decision?maker?will?always?prefer?A?to?B,?but?may?prefer?C?to?A.?[Option?ID?=?21357]
4.?All?of?these?[Option?ID?=?21360]

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Correct?Answer?:?
All?of?these?[Option?ID?=?21360]
An?n?gon?is?a?regular?polygon?with?n?equal?sides.?Find?the?number?of?diagonals?(edges?of?an?n?gon?are?not?considered?as?diagonals)?of?a?10?
gon.?[Question?ID?=?5366]
1.?45?diagonals?[Option?ID?=?21464]

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2.?25?diagonals?[Option?ID?=?21462]
3.?20?diagonals?[Option?ID?=?21461]
4.?35?diagonals?[Option?ID?=?21463]
Correct?Answer?:?
35?diagonals?[Option?ID?=?21463]

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The?Nintari?Company?produces?video?game?playing?machines?and?a?second?firm,?Necsega,?owns?exclusive?rights?to?manufacture?games?that?can
be?used?with?the?Nintari?game?machine.?Both?of?these?imperfectly?competitive?firms?are?maximizing?profits.?If?Nintari?buys?Necsega?and?nothing
else?changes,?then?profits?will?be?maximized?if?Nintari?[Question?ID?=?5343]
1.?does?not?change?the?prices?of?game?machines?or?games.?[Option?ID?=?21370]
2.?decreases?the?prices?of?game?machines?and?games.?[Option?ID?=?21369]

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3.?increases?the?prices?of?game?machines?and?games.?[Option?ID?=?21371]
4.?All?of?these?[Option?ID?=?21372]
Correct?Answer?:?
decreases?the?prices?of?game?machines?and?games.?[Option?ID?=?21369]
Consider?an?otherwise?Solovian?economy?with?one?exception:?the?production?function?does?not?exhibit?decreasing?marginal?returns?with?respect

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to?capital.?In?this?case,?which?of?the?following?statement?is?NOT?true?[Question?ID?=?5378]
1.?The?economy?would?grow?perpetually?over?time?and?the?capital?labour?ratio?will?not?converge?to?a?unique?steady?state.?[Option?ID?=?21511]
2.?Per?capita?consumption?would?remain?constant?over?time.?[Option?ID?=?21512]
3.?An?increase?in?the?rate?of?saving?could?lead?to?a?permanent?increase?in?the?rate?of?growth?of?per?capita?income.?[Option?ID?=?21509]
4.?An?increase?in?the?rate?of?growth?of?population?could?lead?to?a?permanent?decrease?in?the?rate?of?growth?of?per?capita?income.?[Option?ID?=?21510]

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Correct?Answer?:?
Per?capita?consumption?would?remain?constant?over?time.?[Option?ID?=?21512]
Consider?the?function?f?mapping?points?of?the?plane?into?the?plane?defined?by?f(x,?y)?=?(x?y,?x?+?y).?The?range?of?this?function?is?[Question?ID
=?5359]
1.?the?45?degree?line.?[Option?ID?=?21433]

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2.?a?ray?through?the?origin?but?not?the?45?degree?line.?[Option?ID?=?21434]
3.?the?entire?plane.?[Option?ID?=?21435]
4.?the?first?and?third?quadrants.?[Option?ID?=?21436]
Correct?Answer?:?
the?entire?plane.?[Option?ID?=?21435]

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Consider?a?firm?using?two?inputs?to?produce?its?output.?It?is?known?that?greater?use?of?both?inputs?increases?output.?Moreover,?for?any
combination?of?positive?input?prices,?the?firm?employs?an?input?combination?of?the?form?(x,?y=?x)?where?>?0?is?a?constant.?Which?of?the?following
functions?represents?this?firm's?technology?[Question?ID?=?5353]
1.?f(x,?y)?=?min{x
>

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,?y}?[Option?ID?=?21409]
2.?f(x,?y)?=?min{?x,?y}?[Option?ID?=?21410]
3.?f(x,?y)?=?min{x,?y
>
}?[Option?ID?=?21412]

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4.?f(x,?y)?=?min{x,?y}?[Option?ID?=?21411]
Correct?Answer?:?
f(x,?y)?=?min{?x,?y}?[Option?ID?=?21410]
The?optimal?combination?of?joint?products?that?are?produced?in?variable?proportions?is?found?where?[Question?ID?=?5345]
1.?the?isorevenue?line?is?tangent?to?the?relevant?total?cost?curve.?[Option?ID?=?21379]

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2.?the?isorevenue?line?is?tangent?to?the?product?transformation?curve.?[Option?ID?=?21378]
3.?None?of?these?[Option?ID?=?21380]
4.?the?marginal?revenue?from?each?product?is?equal?to?the?marginal?cost?of?producing?each?product.?[Option?ID?=?21377]
13)?
14)?

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15)?
16)?
17)?
18)?
19)?

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Correct?Answer?:?
the?isorevenue?line?is?tangent?to?the?product?transformation?curve.?[Option?ID?=?21378]
The?J?curve?describes?the?following?phenomenon:?[Question?ID?=?5383]
1.?A?change?in?nominal?exchange?rates?will?affect?relative?prices?only?in?the?short?run?but?the?effect?will?peter?out?in?the?long?run.?[Option?ID?=?21529]
2.?Depreciation?of?the?domestic?currency?will?worsen?the?trade?balance?in?the?short?run?but?will?then?gradually?improve?later?as?volume?effects?come?to?dominate.

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[Option?ID?=?21530]
3.?An?appreciation?of?the?domestic?currency?will?always?worsen?the?trade?balance.?[Option?ID?=?21531]
4.?An?increase?in?price?level?will?reduce?the?aggregate?demand?only?in?the?short?but?the?effect?will?peter?out?in?the?long?run.?[Option?ID?=?21532]
Correct?Answer?:?
Depreciation?of?the?domestic?currency?will?worsen?the?trade?balance?in?the?short?run?but?will?then?gradually?improve?later?as?volume?effects?come?to?dominate.

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[Option?ID?=?21530]
A?profit?maximising?firm?operating?in?a?perfectly?competitive?market?has?the?cost?function?c(q)?=?100?+?q
<2>
?for?any?q?>?0.?If?the?firm?decides
to?produce?q?=?0,?however,?its?cost?is?0.?The?market?price?is?p.?If?p?=?40,?the?firm?s?optimum?output?is?[Question?ID?=?5348]

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1.?0?[Option?ID?=?21389]
2.?30?[Option?ID?=?21392]
3.?10?[Option?ID?=?21390]
4.?20?[Option?ID?=?21391]
Correct?Answer?:?Full?Marks?Given?to?all?the?candidates

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For?a?system?of?linear?equations?Ax?=?b?with?m?equations?and?n?variables?where?m?>?n?and?b?is?a?given?vector,?the?following?is?true.?[Question
ID?=?5362]
1.?It?can?never?have?a?unique?solution.?[Option?ID?=?21445]
2.?It?has?at?least?a?one?dimensional?solution?space.?[Option?ID?=?21447]
3.?If?Rank(A)?=?n?and?a?solution?exists?it?must?be?unique.?[Option?ID?=?21448]

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4.?It?always?has?at?least?one?solution.?[Option?ID?=?21446]
Correct?Answer?:?
If?Rank(A)?=?n?and?a?solution?exists?it?must?be?unique.?[Option?ID?=?21448]
Given?below?are?the?equations?that?characterise?an?economy?in?the?short?term.
Y=C+I+G?

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C=1000+0.8(Y?T)?
I=1500?
G=2000?
T=1000
A?reduction?in?lump?sum?taxes?from?1000?to?500?will?have?the?following?effect?on?equilibrium?output:?[Question?ID?=?5384]

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1.?it?will?increase?by?1000?units.?[Option?ID?=?21535]
2.?it?will?increase?by?2000?units.?[Option?ID?=?21534]
3.?it?will?increase?by?500?units.?[Option?ID?=?21536]
4.?it?will?increase?by?2500?units.?[Option?ID?=?21533]
Correct?Answer?:?

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it?will?increase?by?2000?units.?[Option?ID?=?21534]
The?optimal?output?of?joint?products?that?are?produced?in?fixed?proportions?is?found?where?[Question?ID?=?5344]
1.?the?marginal?cost?is?equal?to?the?corresponding?price?of?each?product.?[Option?ID?=?21376]
2.?the?horizontal?sum?of?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21374]
3.?the?vertical?sum?of?the?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21373]

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4.?the?marginal?revenue?from?each?product?is?equal?to?the?marginal?cost?of?producing?each?product.?[Option?ID?=?21375]
Correct?Answer?:?
the?vertical?sum?of?the?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21373]
Conditional?convergence?hypothesis?states?that?[Question?ID?=?5387]
1.?poorer?countries?will?always?grow?slower?than?richer?countries.?[Option?ID?=?21546]

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2.?a?country?will?grow?slower?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21548]
3.?a?country?will?grow?faster?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21547]
4.?poorer?countries?will?always?grow?faster?than?richer?countries.?[Option?ID?=?21545]
Correct?Answer?:?
a?country?will?grow?faster?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21547]

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20)?
21)?
22)?
23)?
A?society?has?3?individuals?and?3?alternatives?A,?B?and?C.?Individuals?1?and?2?strictly?prefer?A?to?B?and?B?to?C.?Individual?3?strictly?prefers?C?to?B?and

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B?to?A.?A?Rawlsian?social?planner?would?therefore?choose?[Question?ID?=?5355]
1.?B.?[Option?ID?=?21418]
2.?A?or?C?[Option?ID?=?21420]
3.?C.?[Option?ID?=?21419]
4.?A.?[Option?ID?=?21417]

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Correct?Answer?:?
B.?[Option?ID?=?21418]
You?estimate?the?multiple?regression?Y?=?a+b1(X1)?+b2(X2)?+u?with?a?large?sample.?Let?t1?be?the?test?statistic?for?testing?the?null?hypothesis
b1?=?0?and?t2?be?the?test?statistic?for?testing?the?null?hypothesis?b2?=?0.?Suppose?you?test?the?joint?null?hypothesis?that?b1?=?b2?=?0?using?the
principle?'reject?the?null?if?either?t1?or?t2?exceeds?1.96?in?absolute?value',?taking?t1?and?t2?to?be?independently?distributed.?[Question?ID?=?5374]

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1.?The?probability?of?Type?I?error?is?less?than?or?equal?to?5?percent?in?this?case.?[Option?ID?=?21495]
2.?The?probability?of?Type?I?error?is?less?than?5?percent?in?this?case.?[Option?ID?=?21496]
3.?The?probability?of?Type?I?error?is?5?percent?in?this?case.?[Option?ID?=?21493]
4.?The?probability?of?Type?I?error?is?more?than?5?percent?but?less?than?10?percent?in?this?case?[Option?ID?=?21494]
Correct?Answer?:?

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The?probability?of?Type?I?error?is?more?than?5?percent?but?less?than?10?percent?in?this?case?[Option?ID?=?21494]
[Question?ID?=?5358]
1.?a?point?of?inflection.?[Option?ID?=?21431]
2.?a?local?minimum.?[Option?ID?=?21429]
3.?a?local?maximum.?[Option?ID?=?21430]

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4.?None?of?these.?[Option?ID?=?21432]
Correct?Answer?:?
a?local?maximum.?[Option?ID?=?21430]
[Question?ID?=?5350]
1.?20?units.?[Option?ID?=?21397]

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2.?10?units.?[Option?ID?=?21399]
3.?5?units.?[Option?ID?=?21400]
4.?15?units.?[Option?ID?=?21398]
Correct?Answer?:?
15?units.?[Option?ID?=?21398]

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[Question?ID?=?5351]
1.?0?[Option?ID?=?21404]
2.?7?[Option?ID?=?21401]
3.?5?[Option?ID?=?21402]
4.?2?[Option?ID?=?21403]

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Correct?Answer?:?
24)?
25)?
26)?
2?[Option?ID?=?21403]

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[Question?ID?=?5364]
1.?b?>?3?[Option?ID?=?21454]
2.?b?>?2?[Option?ID?=?21456]
3.?b?2?2="">?[Option?ID?=?21455]
4.?b?3?3="">?[Option?ID?=?21453]

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Correct?Answer?:?Full?Marks?Given?to?all?the?candidates
[Question?ID?=?5379]
1.? ?[Option?ID?=?21516]
2.? ?[Option?ID?=?21514]
3.? ?[Option?ID?=?21513]

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4.? ?[Option?ID?=?21515]
Correct?Answer?:?
?[Option?ID?=?21515]
27)?
28)?

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[Question?ID?=?5385]
1.? ?[Option?ID?=?21538]
2.? ?[Option?ID?=?21539]
3.? ?[Option?ID?=?21540]
4.? ?[Option?ID?=?21537]

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Correct?Answer?:?
?[Option?ID?=?21539]
[Question?ID?=?5380]
1.? ?[Option?ID?=?21519]
2.? ?[Option?ID?=?21517]

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3.? ?[Option?ID?=?21518]
4.? ?[Option?ID?=?21520]
Correct?Answer?:?
?[Option?ID?=?21517]
29)?

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30)?
31)?
[Question?ID?=?5347]
1.?(x1?y1)?=?(30?20),?(x2?y2)?=?(30?40)?[Option?ID?=?21388]
2.?(x1?y1)?=?(30?30),?(x2?y2)?=?(30?30)?[Option?ID?=?21386]

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3.?(x1?y1)?=?(40?20),?(x2?y2)?=?(20?40)?[Option?ID?=?21387]
4.?(x1?y1)?=?(20?40),?(x2?y2)?=?(40?20)?[Option?ID?=?21385]
Correct?Answer?:?
(x1?y1)?=?(40?20),?(x2?y2)?=?(20?40)?[Option?ID?=?21387]
[Question?ID?=?5381]

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1.? ?[Option?ID?=?21521]
2.? ?[Option?ID?=?21522]
3.? ?[Option?ID?=?21523]
4.?None?of?these?[Option?ID?=?21524]
Correct?Answer?:?

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?[Option?ID?=?21523]
[Question?ID?=?5372]
1.? ?[Option?ID?=?21485]
2.? ?[Option?ID?=?21488]
3.? ?[Option?ID?=

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21487]
4.? ?[Option?ID?=?21486]
Correct?Answer?:?
?[Option?ID?=?21486]
32)?

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33)?
34)?
[Question?ID?=?5361]
1.?linearly?dependent?only?if?a1,?a2,?,?an?are?linearly?dependent.?[Option?ID?=?21443]
2.?linearly?dependent.?[Option?ID?=?21442]

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3.?linearly?independent.?[Option?ID?=?21441]
4.?linearly?dependent?only?if?m?=?n.?[Option?ID?=?21444]
Correct?Answer?:?
linearly?dependent.?[Option?ID?=?21442]
[Question?ID?=?5386]

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1.?There?does?not?exist?any?money?market?equilibrating?relationship?between?interest?rate?and?income.?[Option?ID?=?21544]
2.?The?LM?curve?is?horizontal.?[Option?ID?=?21542]
3.?The?LM?curve?is?downward?sloping.?[Option?ID?=?21543]
4.?The?LM?curve?is?vertical.?[Option?ID?=?21541]
Correct?Answer?:?

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There?does?not?exist?any?money?market?equilibrating?relationship?between?interest?rate?and?income.?[Option?ID?=?21544]
[Question?ID?=?5382]
1.? ?[Option?ID?=?21527]
2.? ?[Option?ID?=?21528]
3.? ?[Option?ID?=?21525]

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4.? ?[Option?ID?=?21526]
Correct?Answer?:?
?[Option?ID?=?21528]
35)?
36)?

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[Question?ID?=?5342]
1.?p=0?and?q=0?[Option?ID?=?21365]
2.?p=0?and?q=1?[Option?ID?=?21367]
3.?p=1?and?q=0?[Option?ID?=?21366]
4.?p=0.5?and?q=0.5?[Option?ID?=?21368]

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Correct?Answer?:?
p=0?and?q=0?[Option?ID?=?21365]
[Question?ID?=?5371]
1.? ?[Option?ID?=?21482]
2.? ?[Option?ID?=?21481]

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3.? ?[Option?ID?=?21484]
4.? ?[Option?ID?=?21483]
Correct?Answer?:?
?[Option?ID?=?21483]
[Question?ID?=?5356]

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1.? ?[Option?ID?=?21422]
2.? ?[Option?ID?=?21424]
3.? ?[Option?ID?=?21421]
4.? ?[Option?ID?=?21423]
Correct?Answer?:?Full?Marks?Given?to?all?the?candidates

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37)?
38)?
39)?
40)?
41)?

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42)?
43)?
[Question?ID?=?5360]
1.?1?[Option?ID?=?21437]
2.?Cannot?be?determined.?[Option?ID?=?21440]

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3.?2?[Option?ID?=?21438]
4.?n?1?[Option?ID?=?21439]
Correct?Answer?:?
2?[Option?ID?=?21438]
Which?of?the?following?are?plausible?approaches?to?dealing?with?a?model?that?exhibits?heteroscedasticity?[Question?ID?=?5375]

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1.?Both?Take?logarithms?of?each?of?the?variables.?and?Add?lagged?values?of?the?variables?to?the?regression?equation.?[Option?ID?=?21500]
2.?Neither?Take?logarithms?of?each?of?the?variables.?not?Add?lagged?values?of?the?variables?to?the?regression?equation.?[Option?ID?=?21499]
3.?Add?lagged?values?of?the?variables?to?the?regression?equation.?[Option?ID?=?21498]
4.?Take?logarithms?of?each?of?the?variables.?[Option?ID?=?21497]
Correct?Answer?:?

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Take?logarithms?of?each?of?the?variables.?[Option?ID?=?21497]
A?firm?has?two?products?and?two?customers.?Customer?1?is?willing?to?pay?$9?for?Product?A?and?$4?for?Product?B.?Customer?2?is?willing?to?pay?$7
for?Product?A?and?$5?for?Product?B.?Can?the?firm?increase?revenue?by?bundling?and,?if?so,?how?much?should?be?charged?for?the?bundle?[Question?ID
=?5346]
1.?The?firm?can?increase?profits?by?bundling.?The?bundle?should?sell?for?$10.?[Option?ID?=?21383]

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2.?The?firm?can?increase?profits?by?bundling.?The?bundle?should?sell?for?$7.?[Option?ID?=?21384]
3.?The?firm?can?increase?profits?by?bundling.?The?bundle?should?sell?for?$12.?[Option?ID?=?21382]
4.?The?firm?cannot?increase?profits?by?bundling.?[Option?ID?=?21381]
Correct?Answer?:?
The?firm?can?increase?profits?by?bundling.?The?bundle?should?sell?for?$12.?[Option?ID?=?21382]

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The?equation?x
<7>
?=?x?+?1?[Question?ID?=?5367]
1.?has?no?positive?real?solution.?[Option?ID?=?21466]
2.?has?no?real?solution.?[Option?ID?=?21465]

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3.?has?a?real?solution?but?not?within?(0,?2).?[Option?ID?=?21468]
4.?has?a?real?solution?in?the?interval?(0,?2).?[Option?ID?=?21467]
Correct?Answer?:?Full?Marks?Given?to?all?the?candidates
A?friend?tells?you?her?multiple?regression?has?a?very?high?R?square?but?all?the?coefficients?of?the?regression?slopes?are?insignificantly?different
from?zero?on?the?basis?of?ttests?of?significance.?This?has?probably?happened?because?[Question?ID?=?5373]

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1.?explanatory?variables?are?highly?collinear.?[Option?ID?=?21491]
2.?the?dependent?variable?does?not?vary?by?much.?[Option?ID?=?21492]
3.?the?intercept?has?been?omitted.?[Option?ID?=?21489]
4.?explanatory?variables?are?highly?orthogonal.?[Option?ID?=?21490]
Correct?Answer?:?

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explanatory?variables?are?highly?collinear.?[Option?ID?=?21491]
You?have?100?observations?on?y?(average?value?15)?and?on?x?(average?value?8)?and?and?from?an?OLS?regression?have?estimated?the?slope?on?x
to?be?2.?Your?estimate?of?the?mean?of?y?conditioned?on?x?is?[Question?ID?=?5368]
1.?None?of?these.?[Option?ID?=?21472]
2.?16?[Option?ID?=?21470]

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3.?15?[Option?ID?=?21469]
4.?17?[Option?ID?=?21471]
Correct?Answer?:?
None?of?these.?[Option?ID?=?21472]
A?profit?maximising?firm?operating?in?a?perfectly?competitive?market?has?the?cost?function?c(q)?=?100?+?q

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<2>
?for?any?q?>?0.?If?the?firm?decides
to?produce?q?=?0,?however,?its?cost?is?0.?The?market?price?is?p.?If?p?=?10,?the?.firm?s?optimum?output?is?[Question?ID?=?5349]
1.?0?[Option?ID?=?21393]
44)?

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45)?
46)?
47)?
48)?
49)?

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2.?5?[Option?ID?=?21394]
3.?10?[Option?ID?=?21395]
4.?20?[Option?ID?=?21396]
Correct?Answer?:?Full?Marks?Given?to?all?the?candidates
The?saddle?point?in?a?payoff?matrix?is?always?the?[Question?ID?=?5341]

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1.?largest?number?in?the?matrix.?[Option?ID?=?21361]
2.?largest?number?in?its?column?and?the?smallest?number?in?its?row?[Option?ID?=?21364]
3.?smallest?number?in?the?matrix.?[Option?ID?=?21363]
4.?smallest?number?in?its?column?and?the?smallest?number?in?its?row.?[Option?ID?=?21362]
Correct?Answer?:?

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largest?number?in?its?column?and?the?smallest?number?in?its?row?[Option?ID?=?21364]
Suppose?you?have?programmed?a?computer?as?follows:
(i)?Draw?50?values?of?a?random?variable?X?from?a?distribution?that?is?Uniform?between?10?and?20.
(ii)?Count?the?number?g?of?values?of?X?that?are?greater?than?18.
(iii)Divide?g?by?50?to?get?h?

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(iv)?Repeat?this?procedure?to?get?1000?h?values.
(v)?Calculate?the?average?of?these?1000?h?values.
(v)?Calculate?the?average?of?these?1000?h?values.?[Question?ID?=?5370]
1.?1?[Option?ID?=?21480]
2.?0.1?[Option?ID?=?21477]

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3.?0.2?[Option?ID?=?21478]
4.?2?[Option?ID?=?21479]
Correct?Answer?:?Full?Marks?Given?to?all?the?candidates
Suppose?you?are?a?Bayesian?and?your?posterior?distribution?for?next?month?s?unemployment?rate?is?a?normal?distribution?with?mean?8.0?and
variance?0.25.?If?this?month?s?unemployment?rate?is?8.1%,?what?would?you?say?is?the?probability?that?unemployment?will?increase?from?this?month

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to?the?next?month?[Question?ID?=?5377]
1.?5%?[Option?ID?=?21507]
2.?42%?[Option?ID?=?21506]
3.?2.30%?[Option?ID?=?21508]
4.?50%?[Option?ID?=?21505]

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Correct?Answer?:?
42%?[Option?ID?=?21506]
Suppose?Frank?can?either?hunt?for?birds?(b)?or?forage?for?wild?berries?(w)?on?his?isolated?island?property.?He?can?catch?two?birds?or?gather
three?pounds?of?berries?in?an?hour.?He?only?has?12?hours?a?week?to?devote?to?these?activities.?His?utility?function?for?birds?and?berries?is?u(w,b)?=
bw

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0.5
.?Which?point?is?not?Pareto?efficient?[Question?ID?=?5339]
1.?(12,?16)?[Option?ID?=?21356]
2.?(9,?18)?[Option?ID?=?21355]
3.?(0,?24)?[Option?ID?=?21353]

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4.?(3,?21)?[Option?ID?=?21354]
Correct?Answer?:?
(3,?21)?[Option?ID?=?21354]
A?consumer?spends?Rs.?100?on?only?two?goods,?A?and?B.?Assume?non?satiation,?i.e.,?more?of?any?good?is?preferred?to?less.?Suppose?the?price?of
B?is?fixed?at?Rs.?20.?When?the?price?of?A?is?Rs.?10,?the?consumer?buys?3?units?of?B.?When?the?price?of?A?is?Rs.?20,?she?buys?5?units?of?A.?From?this?we

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can?conclude?that?for?the?relevant?price?range?[Question?ID?=?5352]
1.?A?is?a?Giffen?good.?[Option?ID?=?21407]
2.?B?is?a?complement?of?A.?[Option?ID?=?21406]
3.?All?of?these?[Option?ID?=?21408]
4.?A?is?an?inferior?good.?[Option?ID?=?21405]

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Correct?Answer?:?
All?of?these?[Option?ID?=?21408]
Consider?a?duopoly?market?in?which?both?firms?choose?quantities.?Suppose?we?have?the?reaction?curve?of?each?firm,?i.e.,?the?curve?that?yields
the?firm's?optimal?quantity?choice?in?response?to?a?quantity?chosen?by?the?other?firm.?If?one?firm?is?the?Stackelberg?leader?and?the?other?is?the
Stackelberg?follower,?then?which?of?the?following?conditions?characterises?the?quantity?chosen?by?the?leader?[Question?ID?=?5354]

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1.?The?quantity?where?the?two?reaction?curves?intersect.?[Option?ID?=?21416]
2.?The?quantity?where?the?leader's?isoprofit?curve?attains?a?maximum.?[Option?ID?=?21415]
3.?The?quantity?at?which?the?follower's?isoprofit?curve?is?tangential?to?the?leader's?reaction?curve.?[Option?ID?=?21414]
FirstRanker.com - FirstRanker's Choice
1)?

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2)?
3)?
4)?
5)?
DU?Mphil?Phd?in?Economics

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Topic:?DU_J18_MPHIL_ECO_Topic01
Suppose?A?and?B?are?square?matrices?that?satisfy?AB?+?BA?=?0,?where?0?is?a?square?matrix?of?zeros.?Then?it?must?be?that?[Question?ID?=?5365]
1.? ?[Option?ID?=?21458]
2.? ?[Option?ID?=?21460]
3.? ?[Option?ID?=?21459]

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4.? ?[Option?ID?=?21457]
Correct?Answer?:?
?[Option?ID?=?21457]
Suppose?a?real?valued?function?f?is?defined?for?all?real?numbers?except?0,?and?satisfies?the?following?condition:?f(xy)?=?f(x)?+?f(y)?for?all?x,?y?in
the?domain.?Consider?the?statements:

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f(1)?=?f(?1)?=?0?(i)
f(x)?=?f(?x)?for?every?x?(ii)?[Question?ID?=?5363]
1.?(i)?is?true?and?(ii)?is?false.?[Option?ID?=?21449]
2.?(i)?is?false?and?(ii)?is?true.?[Option?ID?=?21450]
3.?Both?are?true.?[Option?ID?=?21451]

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4.?Both?are?false?[Option?ID?=?21452]
Correct?Answer?:?
Both?are?true.?[Option?ID?=?21451]
Suppose?Frank?can?either?hunt?for?birds?(b)?or?forage?for?wild?berries?(w)?on?his?isolated?island?property.?He?can?catch?two?birds?or?gather
three?pounds?of?berries?in?an?hour.?He?only?has?12?hours?a?week?to?devote?to?these?activities.?His?utility?function?for?birds?and?berries?is?u(w,b)?=

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bw
0.5
.?What?is?the?slope?of?his?production?possibilities?frontier?[Question?ID?=?5338]
1.?2/3?[Option?ID?=?21351]
2.?3/2?[Option?ID?=?21350]

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3.?2/3?[Option?ID?=?21352]
4.?3/2?[Option?ID?=?21349]
Correct?Answer?:?
?2/3?[Option?ID?=?21352]
Suppose?the?net?cost?of?undertaking?a?venture?is?rupees?1800?if?beta?1?and?the?net?profit?is?rupees?Q?if?beta?is?greater?than?1.?Your?posterior

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distribution?of?beta?is?normal?with?mean?2.28?and?variance?unity.?Any?value?of?Q?bigger?than?what?number?entices?you?to?take?this?venture?Note
that?the?critical?values?(z)?corresponding?to?the?following?tail?areas?(alpha)?under?a?standard?normal?are:?alpha=0.10?then?z=1.28?alpha=0.05
then?z=1.645?alpha=0.025?then?z=1.96?alpha=0.01?then?z=2.33?[Question?ID?=?5376]
1.?450?[Option?ID?=?21504]
2.?300?[Option?ID?=?21503]

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3.?200?[Option?ID?=?21502]
4.?100?[Option?ID?=?21501]
Correct?Answer?:?
200?[Option?ID?=?21502]
Suppose?you?have?a?random?sample?of?100?observations?on?a?variable?x?which?is?distributed?normally?with?mean?14?and?variance?8.?The?sample

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average,?xbar,?is?15?and?the?sample?variance?is?7.?Then?the?mean?and?variance?of?the?sampling?distribution?of?xbar?is?[Question?ID?=?5369]
1.?14?and?0.08,?respectively?[Option?ID?=?21476]
2.?14?and?8,?respectively?[Option?ID?=?21475]
3.?15?and?7,?respectively?[Option?ID?=?21473]
4.?15?and?0.07,?respectively?[Option?ID?=?21474]

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Correct?Answer?:?
14?and?0.08,?respectively?[Option?ID?=?21476]
6)?
7)?
8)?

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9)?
10)?
11)?
12)?
Strategy?A?has?an?expected?value?of?10?and?a?standard?deviation?of?3.?Strategy?B?has?an?expected?value?of?10?and?a?standard?deviation?of?5.

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Strategy?C?has?an?expected?value?of?15?and?a?standard?deviation?of?10.?Which?one?of?the?following?statements?is?true?[Question?ID?=?5340]
1.?A?risk?neutral?decision?maker?will?always?prefer?C?to?A?or?B.?[Option?ID?=?21358]
2.?A?risk?seeking?decision?maker?will?always?prefer?C?to?A?or?B.?[Option?ID?=?21359]
3.?A?risk?averse?decision?maker?will?always?prefer?A?to?B,?but?may?prefer?C?to?A.?[Option?ID?=?21357]
4.?All?of?these?[Option?ID?=?21360]

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Correct?Answer?:?
All?of?these?[Option?ID?=?21360]
An?n?gon?is?a?regular?polygon?with?n?equal?sides.?Find?the?number?of?diagonals?(edges?of?an?n?gon?are?not?considered?as?diagonals)?of?a?10?
gon.?[Question?ID?=?5366]
1.?45?diagonals?[Option?ID?=?21464]

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2.?25?diagonals?[Option?ID?=?21462]
3.?20?diagonals?[Option?ID?=?21461]
4.?35?diagonals?[Option?ID?=?21463]
Correct?Answer?:?
35?diagonals?[Option?ID?=?21463]

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The?Nintari?Company?produces?video?game?playing?machines?and?a?second?firm,?Necsega,?owns?exclusive?rights?to?manufacture?games?that?can
be?used?with?the?Nintari?game?machine.?Both?of?these?imperfectly?competitive?firms?are?maximizing?profits.?If?Nintari?buys?Necsega?and?nothing
else?changes,?then?profits?will?be?maximized?if?Nintari?[Question?ID?=?5343]
1.?does?not?change?the?prices?of?game?machines?or?games.?[Option?ID?=?21370]
2.?decreases?the?prices?of?game?machines?and?games.?[Option?ID?=?21369]

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3.?increases?the?prices?of?game?machines?and?games.?[Option?ID?=?21371]
4.?All?of?these?[Option?ID?=?21372]
Correct?Answer?:?
decreases?the?prices?of?game?machines?and?games.?[Option?ID?=?21369]
Consider?an?otherwise?Solovian?economy?with?one?exception:?the?production?function?does?not?exhibit?decreasing?marginal?returns?with?respect

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to?capital.?In?this?case,?which?of?the?following?statement?is?NOT?true?[Question?ID?=?5378]
1.?The?economy?would?grow?perpetually?over?time?and?the?capital?labour?ratio?will?not?converge?to?a?unique?steady?state.?[Option?ID?=?21511]
2.?Per?capita?consumption?would?remain?constant?over?time.?[Option?ID?=?21512]
3.?An?increase?in?the?rate?of?saving?could?lead?to?a?permanent?increase?in?the?rate?of?growth?of?per?capita?income.?[Option?ID?=?21509]
4.?An?increase?in?the?rate?of?growth?of?population?could?lead?to?a?permanent?decrease?in?the?rate?of?growth?of?per?capita?income.?[Option?ID?=?21510]

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Correct?Answer?:?
Per?capita?consumption?would?remain?constant?over?time.?[Option?ID?=?21512]
Consider?the?function?f?mapping?points?of?the?plane?into?the?plane?defined?by?f(x,?y)?=?(x?y,?x?+?y).?The?range?of?this?function?is?[Question?ID
=?5359]
1.?the?45?degree?line.?[Option?ID?=?21433]

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2.?a?ray?through?the?origin?but?not?the?45?degree?line.?[Option?ID?=?21434]
3.?the?entire?plane.?[Option?ID?=?21435]
4.?the?first?and?third?quadrants.?[Option?ID?=?21436]
Correct?Answer?:?
the?entire?plane.?[Option?ID?=?21435]

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Consider?a?firm?using?two?inputs?to?produce?its?output.?It?is?known?that?greater?use?of?both?inputs?increases?output.?Moreover,?for?any
combination?of?positive?input?prices,?the?firm?employs?an?input?combination?of?the?form?(x,?y=?x)?where?>?0?is?a?constant.?Which?of?the?following
functions?represents?this?firm's?technology?[Question?ID?=?5353]
1.?f(x,?y)?=?min{x
>

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,?y}?[Option?ID?=?21409]
2.?f(x,?y)?=?min{?x,?y}?[Option?ID?=?21410]
3.?f(x,?y)?=?min{x,?y
>
}?[Option?ID?=?21412]

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4.?f(x,?y)?=?min{x,?y}?[Option?ID?=?21411]
Correct?Answer?:?
f(x,?y)?=?min{?x,?y}?[Option?ID?=?21410]
The?optimal?combination?of?joint?products?that?are?produced?in?variable?proportions?is?found?where?[Question?ID?=?5345]
1.?the?isorevenue?line?is?tangent?to?the?relevant?total?cost?curve.?[Option?ID?=?21379]

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2.?the?isorevenue?line?is?tangent?to?the?product?transformation?curve.?[Option?ID?=?21378]
3.?None?of?these?[Option?ID?=?21380]
4.?the?marginal?revenue?from?each?product?is?equal?to?the?marginal?cost?of?producing?each?product.?[Option?ID?=?21377]
13)?
14)?

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15)?
16)?
17)?
18)?
19)?

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Correct?Answer?:?
the?isorevenue?line?is?tangent?to?the?product?transformation?curve.?[Option?ID?=?21378]
The?J?curve?describes?the?following?phenomenon:?[Question?ID?=?5383]
1.?A?change?in?nominal?exchange?rates?will?affect?relative?prices?only?in?the?short?run?but?the?effect?will?peter?out?in?the?long?run.?[Option?ID?=?21529]
2.?Depreciation?of?the?domestic?currency?will?worsen?the?trade?balance?in?the?short?run?but?will?then?gradually?improve?later?as?volume?effects?come?to?dominate.

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[Option?ID?=?21530]
3.?An?appreciation?of?the?domestic?currency?will?always?worsen?the?trade?balance.?[Option?ID?=?21531]
4.?An?increase?in?price?level?will?reduce?the?aggregate?demand?only?in?the?short?but?the?effect?will?peter?out?in?the?long?run.?[Option?ID?=?21532]
Correct?Answer?:?
Depreciation?of?the?domestic?currency?will?worsen?the?trade?balance?in?the?short?run?but?will?then?gradually?improve?later?as?volume?effects?come?to?dominate.

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[Option?ID?=?21530]
A?profit?maximising?firm?operating?in?a?perfectly?competitive?market?has?the?cost?function?c(q)?=?100?+?q
<2>
?for?any?q?>?0.?If?the?firm?decides
to?produce?q?=?0,?however,?its?cost?is?0.?The?market?price?is?p.?If?p?=?40,?the?firm?s?optimum?output?is?[Question?ID?=?5348]

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1.?0?[Option?ID?=?21389]
2.?30?[Option?ID?=?21392]
3.?10?[Option?ID?=?21390]
4.?20?[Option?ID?=?21391]
Correct?Answer?:?Full?Marks?Given?to?all?the?candidates

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For?a?system?of?linear?equations?Ax?=?b?with?m?equations?and?n?variables?where?m?>?n?and?b?is?a?given?vector,?the?following?is?true.?[Question
ID?=?5362]
1.?It?can?never?have?a?unique?solution.?[Option?ID?=?21445]
2.?It?has?at?least?a?one?dimensional?solution?space.?[Option?ID?=?21447]
3.?If?Rank(A)?=?n?and?a?solution?exists?it?must?be?unique.?[Option?ID?=?21448]

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4.?It?always?has?at?least?one?solution.?[Option?ID?=?21446]
Correct?Answer?:?
If?Rank(A)?=?n?and?a?solution?exists?it?must?be?unique.?[Option?ID?=?21448]
Given?below?are?the?equations?that?characterise?an?economy?in?the?short?term.
Y=C+I+G?

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C=1000+0.8(Y?T)?
I=1500?
G=2000?
T=1000
A?reduction?in?lump?sum?taxes?from?1000?to?500?will?have?the?following?effect?on?equilibrium?output:?[Question?ID?=?5384]

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1.?it?will?increase?by?1000?units.?[Option?ID?=?21535]
2.?it?will?increase?by?2000?units.?[Option?ID?=?21534]
3.?it?will?increase?by?500?units.?[Option?ID?=?21536]
4.?it?will?increase?by?2500?units.?[Option?ID?=?21533]
Correct?Answer?:?

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it?will?increase?by?2000?units.?[Option?ID?=?21534]
The?optimal?output?of?joint?products?that?are?produced?in?fixed?proportions?is?found?where?[Question?ID?=?5344]
1.?the?marginal?cost?is?equal?to?the?corresponding?price?of?each?product.?[Option?ID?=?21376]
2.?the?horizontal?sum?of?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21374]
3.?the?vertical?sum?of?the?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21373]

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4.?the?marginal?revenue?from?each?product?is?equal?to?the?marginal?cost?of?producing?each?product.?[Option?ID?=?21375]
Correct?Answer?:?
the?vertical?sum?of?the?marginal?revenue?from?each?product?is?equal?to?marginal?cost.?[Option?ID?=?21373]
Conditional?convergence?hypothesis?states?that?[Question?ID?=?5387]
1.?poorer?countries?will?always?grow?slower?than?richer?countries.?[Option?ID?=?21546]

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2.?a?country?will?grow?slower?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21548]
3.?a?country?will?grow?faster?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21547]
4.?poorer?countries?will?always?grow?faster?than?richer?countries.?[Option?ID?=?21545]
Correct?Answer?:?
a?country?will?grow?faster?the?further?away?it?is?from?its?own?steady?state.?[Option?ID?=?21547]

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20)?
21)?
22)?
23)?
A?society?has?3?individuals?and?3?alternatives?A,?B?and?C.?Individuals?1?and?2?strictly?prefer?A?to?B?and?B?to?C.?Individual?3?strictly?prefers?C?to?B?and

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B?to?A.?A?Rawlsian?social?planner?would?therefore?choose?[Question?ID?=?5355]
1.?B.?[Option?ID?=?21418]
2.?A?or?C?[Option?ID?=?21420]
3.?C.?[Option?ID?=?21419]
4.?A.?[Option?ID?=?21417]

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Correct?Answer?:?
B.?[Option?ID?=?21418]
You?estimate?the?multiple?regression?Y?=?a+b1(X1)?+b2(X2)?+u?with?a?large?sample.?Let?t1?be?the?test?statistic?for?testing?the?null?hypothesis
b1?=?0?and?t2?be?the?test?statistic?for?testing?the?null?hypothesis?b2?=?0.?Suppose?you?test?the?joint?null?hypothesis?that?b1?=?b2?=?0?using?the
principle?'reject?the?null?if?either?t1?or?t2?exceeds?1.96?in?absolute?value',?taking?t1?and?t2?to?be?independently?distributed.?[Question?ID?=?5374]

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1.?The?probability?of?Type?I?error?is?less?than?or?equal?to?5?percent?in?this?case.?[Option?ID?=?21495]
2.?The?probability?of?Type?I?error?is?less?than?5?percent?in?this?case.?[Option?ID?=?21496]
3.?The?probability?of?Type?I?error?is?5?percent?in?this?case.?[Option?ID?=?21493]
4.?The?probability?of?Type?I?error?is?more?than?5?percent?but?less?than?10?percent?in?this?case?[Option?ID?=?21494]
Correct?Answer?:?

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The?probability?of?Type?I?error?is?more?than?5?percent?but?less?than?10?percent?in?this?case?[Option?ID?=?21494]
[Question?ID?=?5358]
1.?a?point?of?inflection.?[Option?ID?=?21431]
2.?a?local?minimum.?[Option?ID?=?21429]
3.?a?local?maximum.?[Option?ID?=?21430]

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4.?None?of?these.?[Option?ID?=?21432]
Correct?Answer?:?
a?local?maximum.?[Option?ID?=?21430]
[Question?ID?=?5350]
1.?20?units.?[Option?ID?=?21397]

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2.?10?units.?[Option?ID?=?21399]
3.?5?units.?[Option?ID?=?21400]
4.?15?units.?[Option?ID?=?21398]
Correct?Answer?:?
15?units.?[Option?ID?=?21398]

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[Question?ID?=?5351]
1.?0?[Option?ID?=?21404]
2.?7?[Option?ID?=?21401]
3.?5?[Option?ID?=?21402]
4.?2?[Option?ID?=?21403]

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Correct?Answer?:?
24)?
25)?
26)?
2?[Option?ID?=?21403]

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[Question?ID?=?5364]
1.?b?>?3?[Option?ID?=?21454]
2.?b?>?2?[Option?ID?=?21456]
3.?b?2?2="">?[Option?ID?=?21455]
4.?b?3?3="">?[Option?ID?=?21453]

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Correct?Answer?:?Full?Marks?Given?to?all?the?candidates
[Question?ID?=?5379]
1.? ?[Option?ID?=?21516]
2.? ?[Option?ID?=?21514]
3.? ?[Option?ID?=?21513]

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4.? ?[Option?ID?=?21515]
Correct?Answer?:?
?[Option?ID?=?21515]
27)?
28)?

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[Question?ID?=?5385]
1.? ?[Option?ID?=?21538]
2.? ?[Option?ID?=?21539]
3.? ?[Option?ID?=?21540]
4.? ?[Option?ID?=?21537]

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Correct?Answer?:?
?[Option?ID?=?21539]
[Question?ID?=?5380]
1.? ?[Option?ID?=?21519]
2.? ?[Option?ID?=?21517]

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3.? ?[Option?ID?=?21518]
4.? ?[Option?ID?=?21520]
Correct?Answer?:?
?[Option?ID?=?21517]
29)?

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30)?
31)?
[Question?ID?=?5347]
1.?(x1?y1)?=?(30?20),?(x2?y2)?=?(30?40)?[Option?ID?=?21388]
2.?(x1?y1)?=?(30?30),?(x2?y2)?=?(30?30)?[Option?ID?=?21386]

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3.?(x1?y1)?=?(40?20),?(x2?y2)?=?(20?40)?[Option?ID?=?21387]
4.?(x1?y1)?=?(20?40),?(x2?y2)?=?(40?20)?[Option?ID?=?21385]
Correct?Answer?:?
(x1?y1)?=?(40?20),?(x2?y2)?=?(20?40)?[Option?ID?=?21387]
[Question?ID?=?5381]

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1.? ?[Option?ID?=?21521]
2.? ?[Option?ID?=?21522]
3.? ?[Option?ID?=?21523]
4.?None?of?these?[Option?ID?=?21524]
Correct?Answer?:?

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?[Option?ID?=?21523]
[Question?ID?=?5372]
1.? ?[Option?ID?=?21485]
2.? ?[Option?ID?=?21488]
3.? ?[Option?ID?=

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21487]
4.? ?[Option?ID?=?21486]
Correct?Answer?:?
?[Option?ID?=?21486]
32)?

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33)?
34)?
[Question?ID?=?5361]
1.?linearly?dependent?only?if?a1,?a2,?,?an?are?linearly?dependent.?[Option?ID?=?21443]
2.?linearly?dependent.?[Option?ID?=?21442]

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3.?linearly?independent.?[Option?ID?=?21441]
4.?linearly?dependent?only?if?m?=?n.?[Option?ID?=?21444]
Correct?Answer?:?
linearly?dependent.?[Option?ID?=?21442]
[Question?ID?=?5386]

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1.?There?does?not?exist?any?money?market?equilibrating?relationship?between?interest?rate?and?income.?[Option?ID?=?21544]
2.?The?LM?curve?is?horizontal.?[Option?ID?=?21542]
3.?The?LM?curve?is?downward?sloping.?[Option?ID?=?21543]
4.?The?LM?curve?is?vertical.?[Option?ID?=?21541]
Correct?Answer?:?

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There?does?not?exist?any?money?market?equilibrating?relationship?between?interest?rate?and?income.?[Option?ID?=?21544]
[Question?ID?=?5382]
1.? ?[Option?ID?=?21527]
2.? ?[Option?ID?=?21528]
3.? ?[Option?ID?=?21525]

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4.? ?[Option?ID?=?21526]
Correct?Answer?:?
?[Option?ID?=?21528]
35)?
36)?

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[Question?ID?=?5342]
1.?p=0?and?q=0?[Option?ID?=?21365]
2.?p=0?and?q=1?[Option?ID?=?21367]
3.?p=1?and?q=0?[Option?ID?=?21366]
4.?p=0.5?and?q=0.5?[Option?ID?=?21368]

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Correct?Answer?:?
p=0?and?q=0?[Option?ID?=?21365]
[Question?ID?=?5371]
1.? ?[Option?ID?=?21482]
2.? ?[Option?ID?=?21481]

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3.? ?[Option?ID?=?21484]
4.? ?[Option?ID?=?21483]
Correct?Answer?:?
?[Option?ID?=?21483]
[Question?ID?=?5356]

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1.? ?[Option?ID?=?21422]
2.? ?[Option?ID?=?21424]
3.? ?[Option?ID?=?21421]
4.? ?[Option?ID?=?21423]
Correct?Answer?:?Full?Marks?Given?to?all?the?candidates

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37)?
38)?
39)?
40)?
41)?

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42)?
43)?
[Question?ID?=?5360]
1.?1?[Option?ID?=?21437]
2.?Cannot?be?determined.?[Option?ID?=?21440]

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3.?2?[Option?ID?=?21438]
4.?n?1?[Option?ID?=?21439]
Correct?Answer?:?
2?[Option?ID?=?21438]
Which?of?the?following?are?plausible?approaches?to?dealing?with?a?model?that?exhibits?heteroscedasticity?[Question?ID?=?5375]

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1.?Both?Take?logarithms?of?each?of?the?variables.?and?Add?lagged?values?of?the?variables?to?the?regression?equation.?[Option?ID?=?21500]
2.?Neither?Take?logarithms?of?each?of?the?variables.?not?Add?lagged?values?of?the?variables?to?the?regression?equation.?[Option?ID?=?21499]
3.?Add?lagged?values?of?the?variables?to?the?regression?equation.?[Option?ID?=?21498]
4.?Take?logarithms?of?each?of?the?variables.?[Option?ID?=?21497]
Correct?Answer?:?

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Take?logarithms?of?each?of?the?variables.?[Option?ID?=?21497]
A?firm?has?two?products?and?two?customers.?Customer?1?is?willing?to?pay?$9?for?Product?A?and?$4?for?Product?B.?Customer?2?is?willing?to?pay?$7
for?Product?A?and?$5?for?Product?B.?Can?the?firm?increase?revenue?by?bundling?and,?if?so,?how?much?should?be?charged?for?the?bundle?[Question?ID
=?5346]
1.?The?firm?can?increase?profits?by?bundling.?The?bundle?should?sell?for?$10.?[Option?ID?=?21383]

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2.?The?firm?can?increase?profits?by?bundling.?The?bundle?should?sell?for?$7.?[Option?ID?=?21384]
3.?The?firm?can?increase?profits?by?bundling.?The?bundle?should?sell?for?$12.?[Option?ID?=?21382]
4.?The?firm?cannot?increase?profits?by?bundling.?[Option?ID?=?21381]
Correct?Answer?:?
The?firm?can?increase?profits?by?bundling.?The?bundle?should?sell?for?$12.?[Option?ID?=?21382]

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The?equation?x
<7>
?=?x?+?1?[Question?ID?=?5367]
1.?has?no?positive?real?solution.?[Option?ID?=?21466]
2.?has?no?real?solution.?[Option?ID?=?21465]

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3.?has?a?real?solution?but?not?within?(0,?2).?[Option?ID?=?21468]
4.?has?a?real?solution?in?the?interval?(0,?2).?[Option?ID?=?21467]
Correct?Answer?:?Full?Marks?Given?to?all?the?candidates
A?friend?tells?you?her?multiple?regression?has?a?very?high?R?square?but?all?the?coefficients?of?the?regression?slopes?are?insignificantly?different
from?zero?on?the?basis?of?ttests?of?significance.?This?has?probably?happened?because?[Question?ID?=?5373]

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1.?explanatory?variables?are?highly?collinear.?[Option?ID?=?21491]
2.?the?dependent?variable?does?not?vary?by?much.?[Option?ID?=?21492]
3.?the?intercept?has?been?omitted.?[Option?ID?=?21489]
4.?explanatory?variables?are?highly?orthogonal.?[Option?ID?=?21490]
Correct?Answer?:?

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explanatory?variables?are?highly?collinear.?[Option?ID?=?21491]
You?have?100?observations?on?y?(average?value?15)?and?on?x?(average?value?8)?and?and?from?an?OLS?regression?have?estimated?the?slope?on?x
to?be?2.?Your?estimate?of?the?mean?of?y?conditioned?on?x?is?[Question?ID?=?5368]
1.?None?of?these.?[Option?ID?=?21472]
2.?16?[Option?ID?=?21470]

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3.?15?[Option?ID?=?21469]
4.?17?[Option?ID?=?21471]
Correct?Answer?:?
None?of?these.?[Option?ID?=?21472]
A?profit?maximising?firm?operating?in?a?perfectly?competitive?market?has?the?cost?function?c(q)?=?100?+?q

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<2>
?for?any?q?>?0.?If?the?firm?decides
to?produce?q?=?0,?however,?its?cost?is?0.?The?market?price?is?p.?If?p?=?10,?the?.firm?s?optimum?output?is?[Question?ID?=?5349]
1.?0?[Option?ID?=?21393]
44)?

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45)?
46)?
47)?
48)?
49)?

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2.?5?[Option?ID?=?21394]
3.?10?[Option?ID?=?21395]
4.?20?[Option?ID?=?21396]
Correct?Answer?:?Full?Marks?Given?to?all?the?candidates
The?saddle?point?in?a?payoff?matrix?is?always?the?[Question?ID?=?5341]

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1.?largest?number?in?the?matrix.?[Option?ID?=?21361]
2.?largest?number?in?its?column?and?the?smallest?number?in?its?row?[Option?ID?=?21364]
3.?smallest?number?in?the?matrix.?[Option?ID?=?21363]
4.?smallest?number?in?its?column?and?the?smallest?number?in?its?row.?[Option?ID?=?21362]
Correct?Answer?:?

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largest?number?in?its?column?and?the?smallest?number?in?its?row?[Option?ID?=?21364]
Suppose?you?have?programmed?a?computer?as?follows:
(i)?Draw?50?values?of?a?random?variable?X?from?a?distribution?that?is?Uniform?between?10?and?20.
(ii)?Count?the?number?g?of?values?of?X?that?are?greater?than?18.
(iii)Divide?g?by?50?to?get?h?

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(iv)?Repeat?this?procedure?to?get?1000?h?values.
(v)?Calculate?the?average?of?these?1000?h?values.
(v)?Calculate?the?average?of?these?1000?h?values.?[Question?ID?=?5370]
1.?1?[Option?ID?=?21480]
2.?0.1?[Option?ID?=?21477]

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3.?0.2?[Option?ID?=?21478]
4.?2?[Option?ID?=?21479]
Correct?Answer?:?Full?Marks?Given?to?all?the?candidates
Suppose?you?are?a?Bayesian?and?your?posterior?distribution?for?next?month?s?unemployment?rate?is?a?normal?distribution?with?mean?8.0?and
variance?0.25.?If?this?month?s?unemployment?rate?is?8.1%,?what?would?you?say?is?the?probability?that?unemployment?will?increase?from?this?month

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to?the?next?month?[Question?ID?=?5377]
1.?5%?[Option?ID?=?21507]
2.?42%?[Option?ID?=?21506]
3.?2.30%?[Option?ID?=?21508]
4.?50%?[Option?ID?=?21505]

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Correct?Answer?:?
42%?[Option?ID?=?21506]
Suppose?Frank?can?either?hunt?for?birds?(b)?or?forage?for?wild?berries?(w)?on?his?isolated?island?property.?He?can?catch?two?birds?or?gather
three?pounds?of?berries?in?an?hour.?He?only?has?12?hours?a?week?to?devote?to?these?activities.?His?utility?function?for?birds?and?berries?is?u(w,b)?=
bw

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0.5
.?Which?point?is?not?Pareto?efficient?[Question?ID?=?5339]
1.?(12,?16)?[Option?ID?=?21356]
2.?(9,?18)?[Option?ID?=?21355]
3.?(0,?24)?[Option?ID?=?21353]

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4.?(3,?21)?[Option?ID?=?21354]
Correct?Answer?:?
(3,?21)?[Option?ID?=?21354]
A?consumer?spends?Rs.?100?on?only?two?goods,?A?and?B.?Assume?non?satiation,?i.e.,?more?of?any?good?is?preferred?to?less.?Suppose?the?price?of
B?is?fixed?at?Rs.?20.?When?the?price?of?A?is?Rs.?10,?the?consumer?buys?3?units?of?B.?When?the?price?of?A?is?Rs.?20,?she?buys?5?units?of?A.?From?this?we

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can?conclude?that?for?the?relevant?price?range?[Question?ID?=?5352]
1.?A?is?a?Giffen?good.?[Option?ID?=?21407]
2.?B?is?a?complement?of?A.?[Option?ID?=?21406]
3.?All?of?these?[Option?ID?=?21408]
4.?A?is?an?inferior?good.?[Option?ID?=?21405]

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Correct?Answer?:?
All?of?these?[Option?ID?=?21408]
Consider?a?duopoly?market?in?which?both?firms?choose?quantities.?Suppose?we?have?the?reaction?curve?of?each?firm,?i.e.,?the?curve?that?yields
the?firm's?optimal?quantity?choice?in?response?to?a?quantity?chosen?by?the?other?firm.?If?one?firm?is?the?Stackelberg?leader?and?the?other?is?the
Stackelberg?follower,?then?which?of?the?following?conditions?characterises?the?quantity?chosen?by?the?leader?[Question?ID?=?5354]

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1.?The?quantity?where?the?two?reaction?curves?intersect.?[Option?ID?=?21416]
2.?The?quantity?where?the?leader's?isoprofit?curve?attains?a?maximum.?[Option?ID?=?21415]
3.?The?quantity?at?which?the?follower's?isoprofit?curve?is?tangential?to?the?leader's?reaction?curve.?[Option?ID?=?21414]
50)?
4.?The?quantity?at?which?the?leader's?isoprofit?curve?is?tangential?to?the?follower's?reaction?curve.?[Option?ID?=?21413]

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Correct?Answer?:?
The?quantity?at?which?the?leader's?isoprofit?curve?is?tangential?to?the?follower's?reaction?curve.?[Option?ID?=?21413]
Consider?the?following?two?player?game.?The?players?simultaneously?draw?one?sample?each?from?a?continuous?random?variable?X,?which
follows?Uniform[0,100].?After?observing?the?value?of?her?own?sample,?which?is?private?information?(that?is,?the?opponent?does?not?observe?it),
players?simultaneously?and?independently?choose?one?of?the?following:?SWAP,?RETAIN.?If?both?the?players?choose?SWAP?then?they?exchange?their

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initially?drawn?numbers.?Otherwise?if?at?least?one?person?chooses?RETAIN?both?of?them?retain?their?numbers.?A?player?earns?as?many?rupees?as?the
number?she?is?holding?at?the?end?of?the?game.?Find?the?probability?that?the?players?will?exchange?their?initially?drawn?numbers.?[Question?ID?=
5357]
1.?0?[Option?ID?=?21428]
2.? ?[Option?ID?=?21427]

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3.?1?[Option?ID?=?21425]
4.?[Option?ID?=?21426]
Correct?Answer?:?
0?[Option?ID?=?21428]
FirstRanker.com - FirstRanker's Choice

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