Download GATE (Graduate Aptitude Test in Engineering) GATE EE 2019 Question Paper With Solution And Answer Key
2
1. Newspapers are a constant source of
delight and recreation for me. The
________ trouble is that I read _______
many of them
A. even, too B. even, quite
C. only, quite D. only, too
2. The missing number in the given sequence
343,1331,______, 4913 is
A. 2744 B. 2197
C. 4096 D. 3375
3. The passengers were angry _______ the
airline staff about the delay.
A. towards B. on
C. with D. about
4. It takes two hours for a person X to mow
the lawn. Y can move the same lawn in
four hours. How long (in minutes) will it
take X and Y, if they work together to
move the lawn?
A. 120 B. 80
C. 60 D. 90
5. I am not sure if the bus that has been
booked will be able to ____ all the
students.
A. sit B. deteriorate
C. accommodate D. fill
6. Given two sets X = {1, 2, 3} and Y = {2,
3, 4}, we construct a set Z of all possible
fractions where the numerators belong to
set X and the denominators belong to set
Y. The product of element having minimum
and maximum values in the set Z is
__________.
A. 3/8 B. 1/12
C. 1/8 D. 1/6
7. The ratio of the number of boys and girls
who participated in an examination is
4 : 3. The total percentage of candidates
who passed the examination is 80 and
the percentage of girls who passed is 90.
The percentage of boys who passed is
__________
A. 80.50 B. 55.50
C. 72.50 D. 90.00
8. An award-winning study by a group of
researchers suggests that men are as
prone to buying on impulse as women feel
more guilty about shopping.
Which one of the following statements can
be inferred from the given text?
A. Some men and women indulge in
buying on impulse
B. Few men and women indulge in buying
on impulse
C. Many men and women indulge in
buying on impulse
D. All men and women indulge in buying
on impulse
9. How many integers are there between 100
and 1000 all of whose digits are even?
A. 100 B. 60
C. 90 D. 80
10. Consider five people ? Mita, Ganga, Rekha,
Lakshmi and Sana. Ganga is taller than
both Rekha and Lakshmi. Lakshmi is taller
than Sana. Mita is taller than Ganga.
Which of the following conclusions are
true?
1. Lakshmi is taller than Rekha
2. Rekha is shorter than Mita
3. Rekha is taller than Sana
4. Sana is shorter than Ganga
A. 1 and 3 B. 1 only
C. 2 and 4 D. 3 only
SECTION : EE ELECTRICAL ENGINEERING
1. The mean-square of a zero-mean random
process is ,
kT
C
where k is Boltzmann?s
constant, T is the absolute temperature,
and C is capacitance. The standard
deviation of the random process is
A.
kT
C
B.
kT
C
C.
kT
C
D.
c
kT
2. The characteristic equation of a linear time-
invariant (LTI) system is given by
?(s) = s
4
+ 3s
3
+ 3s
2
+ s + k = 0.
The system is BIBO stable if
A.
12
0
9
?? k B.
8
0
9
?? k
C. k > 6 D. k > 3
3. The inverse Laplace transform of
( )
2
3
21
+
=
++
s
Hs
ss
for ? 0 is
A. 2te
-t
+ e
-t
B. 3te
-t
+ e
-t
C. 3 e
-t
D. 4 te
-t
+ e
-t
FirstRanker.com - FirstRanker's Choice
2
1. Newspapers are a constant source of
delight and recreation for me. The
________ trouble is that I read _______
many of them
A. even, too B. even, quite
C. only, quite D. only, too
2. The missing number in the given sequence
343,1331,______, 4913 is
A. 2744 B. 2197
C. 4096 D. 3375
3. The passengers were angry _______ the
airline staff about the delay.
A. towards B. on
C. with D. about
4. It takes two hours for a person X to mow
the lawn. Y can move the same lawn in
four hours. How long (in minutes) will it
take X and Y, if they work together to
move the lawn?
A. 120 B. 80
C. 60 D. 90
5. I am not sure if the bus that has been
booked will be able to ____ all the
students.
A. sit B. deteriorate
C. accommodate D. fill
6. Given two sets X = {1, 2, 3} and Y = {2,
3, 4}, we construct a set Z of all possible
fractions where the numerators belong to
set X and the denominators belong to set
Y. The product of element having minimum
and maximum values in the set Z is
__________.
A. 3/8 B. 1/12
C. 1/8 D. 1/6
7. The ratio of the number of boys and girls
who participated in an examination is
4 : 3. The total percentage of candidates
who passed the examination is 80 and
the percentage of girls who passed is 90.
The percentage of boys who passed is
__________
A. 80.50 B. 55.50
C. 72.50 D. 90.00
8. An award-winning study by a group of
researchers suggests that men are as
prone to buying on impulse as women feel
more guilty about shopping.
Which one of the following statements can
be inferred from the given text?
A. Some men and women indulge in
buying on impulse
B. Few men and women indulge in buying
on impulse
C. Many men and women indulge in
buying on impulse
D. All men and women indulge in buying
on impulse
9. How many integers are there between 100
and 1000 all of whose digits are even?
A. 100 B. 60
C. 90 D. 80
10. Consider five people ? Mita, Ganga, Rekha,
Lakshmi and Sana. Ganga is taller than
both Rekha and Lakshmi. Lakshmi is taller
than Sana. Mita is taller than Ganga.
Which of the following conclusions are
true?
1. Lakshmi is taller than Rekha
2. Rekha is shorter than Mita
3. Rekha is taller than Sana
4. Sana is shorter than Ganga
A. 1 and 3 B. 1 only
C. 2 and 4 D. 3 only
SECTION : EE ELECTRICAL ENGINEERING
1. The mean-square of a zero-mean random
process is ,
kT
C
where k is Boltzmann?s
constant, T is the absolute temperature,
and C is capacitance. The standard
deviation of the random process is
A.
kT
C
B.
kT
C
C.
kT
C
D.
c
kT
2. The characteristic equation of a linear time-
invariant (LTI) system is given by
?(s) = s
4
+ 3s
3
+ 3s
2
+ s + k = 0.
The system is BIBO stable if
A.
12
0
9
?? k B.
8
0
9
?? k
C. k > 6 D. k > 3
3. The inverse Laplace transform of
( )
2
3
21
+
=
++
s
Hs
ss
for ? 0 is
A. 2te
-t
+ e
-t
B. 3te
-t
+ e
-t
C. 3 e
-t
D. 4 te
-t
+ e
-t
3
4. A 5 kVA, 50 V/100 V, single-phase
transformer has a secondary terminal
voltage of 95 V when loaded. The
regulation of the transformer is
A. 9% B. 4.5%
C. 1% D. 5%
5. A three-phase synchronous motor draws
200 A from the line at unity power factor at
rated load. Considering the same line
voltage and load, the line current at power
factor of 0.5 leading is
A. 400 A B. 300 A
C. 200 A D. 100 A
6. A cv-axial cylindrical capacitor shown in
Figure (i) has dielectric with relative
permittivity ?r1 = 2. When one-fourth
portion of the dielectric is replaced with
another dielectric of relative permittivity
?r2, as shown to Figure (ii), the capacitance
is doubled. The value of ?r2 is _________.
7. The parameter of an equivalent circuit of a
three-phase induction motor affected by
reducing the rms value of the supply
voltage at the rated frequency is
A. rotor leakage reactance
B. stator resistance
C. rotor resistance
D. magnetizing reactance
8. The output response of a system is
denoted as y(t), and its Laplace transform
is given by
( )
( )
2
10
.
100 2
=
++
Ys
s s s
The steady state value of y(t) is
A. 10 2 B. 100 2
C.
1
10 2
D.
1
100 2
9. The open loop transfer function of a unity
feedback system is given by
( )
0.25
.
?
?
=
s
e
Gs
s
In G(s) plane, the Nyquist plot of G(s)
passes through the negative real axis at
the point
A. (-0.5, j0) B. (-1.5, j0)
C. (-1.25, j0) D. (-0.75, j0)
10. A current controlled current source (CCCS)
has an input impedance of 10 ? and output
impedance of 100 k?. When this CCCS is
used in a negative feedback closed loop
with a loop gain of 9, the closed loop
output impedance is
A. 100 k? B. 1000 k?
C. 100 ? D. 10 ?
11. A six-pulse thyristor bridge rectifier is
connected to a balanced three-phase, 50
Hz AC source. Assuming that the DC
output current of the rectifier is constant,
the lowest harmonic component in the AC
input current is
A. 100 Hz B. 150 Hz
C. 300 Hz D. 250 Hz
12. The current I flowing in the circuit shown
below in amperes (round off to one decimal
place) is ___________.
13. The partial differential equation
2 2 2
2
2 2 2
0;
?? ? ? ?
? + =
??
? ? ?
??
u u u
c
t x y
where c ? 0
is known as
A. Poisson?s equation
B. wave equation
C. Laplace equation
D. heat equation
14. Which one of the following function is
analytic in the region |z| ? 1?
A.
2
1
2
?
+
z
z
B.
2
1 ? z
z
C.
2
1
0.5
?
?
z
z
D.
2
1
0.5
?
?
z
zj
FirstRanker.com - FirstRanker's Choice
2
1. Newspapers are a constant source of
delight and recreation for me. The
________ trouble is that I read _______
many of them
A. even, too B. even, quite
C. only, quite D. only, too
2. The missing number in the given sequence
343,1331,______, 4913 is
A. 2744 B. 2197
C. 4096 D. 3375
3. The passengers were angry _______ the
airline staff about the delay.
A. towards B. on
C. with D. about
4. It takes two hours for a person X to mow
the lawn. Y can move the same lawn in
four hours. How long (in minutes) will it
take X and Y, if they work together to
move the lawn?
A. 120 B. 80
C. 60 D. 90
5. I am not sure if the bus that has been
booked will be able to ____ all the
students.
A. sit B. deteriorate
C. accommodate D. fill
6. Given two sets X = {1, 2, 3} and Y = {2,
3, 4}, we construct a set Z of all possible
fractions where the numerators belong to
set X and the denominators belong to set
Y. The product of element having minimum
and maximum values in the set Z is
__________.
A. 3/8 B. 1/12
C. 1/8 D. 1/6
7. The ratio of the number of boys and girls
who participated in an examination is
4 : 3. The total percentage of candidates
who passed the examination is 80 and
the percentage of girls who passed is 90.
The percentage of boys who passed is
__________
A. 80.50 B. 55.50
C. 72.50 D. 90.00
8. An award-winning study by a group of
researchers suggests that men are as
prone to buying on impulse as women feel
more guilty about shopping.
Which one of the following statements can
be inferred from the given text?
A. Some men and women indulge in
buying on impulse
B. Few men and women indulge in buying
on impulse
C. Many men and women indulge in
buying on impulse
D. All men and women indulge in buying
on impulse
9. How many integers are there between 100
and 1000 all of whose digits are even?
A. 100 B. 60
C. 90 D. 80
10. Consider five people ? Mita, Ganga, Rekha,
Lakshmi and Sana. Ganga is taller than
both Rekha and Lakshmi. Lakshmi is taller
than Sana. Mita is taller than Ganga.
Which of the following conclusions are
true?
1. Lakshmi is taller than Rekha
2. Rekha is shorter than Mita
3. Rekha is taller than Sana
4. Sana is shorter than Ganga
A. 1 and 3 B. 1 only
C. 2 and 4 D. 3 only
SECTION : EE ELECTRICAL ENGINEERING
1. The mean-square of a zero-mean random
process is ,
kT
C
where k is Boltzmann?s
constant, T is the absolute temperature,
and C is capacitance. The standard
deviation of the random process is
A.
kT
C
B.
kT
C
C.
kT
C
D.
c
kT
2. The characteristic equation of a linear time-
invariant (LTI) system is given by
?(s) = s
4
+ 3s
3
+ 3s
2
+ s + k = 0.
The system is BIBO stable if
A.
12
0
9
?? k B.
8
0
9
?? k
C. k > 6 D. k > 3
3. The inverse Laplace transform of
( )
2
3
21
+
=
++
s
Hs
ss
for ? 0 is
A. 2te
-t
+ e
-t
B. 3te
-t
+ e
-t
C. 3 e
-t
D. 4 te
-t
+ e
-t
3
4. A 5 kVA, 50 V/100 V, single-phase
transformer has a secondary terminal
voltage of 95 V when loaded. The
regulation of the transformer is
A. 9% B. 4.5%
C. 1% D. 5%
5. A three-phase synchronous motor draws
200 A from the line at unity power factor at
rated load. Considering the same line
voltage and load, the line current at power
factor of 0.5 leading is
A. 400 A B. 300 A
C. 200 A D. 100 A
6. A cv-axial cylindrical capacitor shown in
Figure (i) has dielectric with relative
permittivity ?r1 = 2. When one-fourth
portion of the dielectric is replaced with
another dielectric of relative permittivity
?r2, as shown to Figure (ii), the capacitance
is doubled. The value of ?r2 is _________.
7. The parameter of an equivalent circuit of a
three-phase induction motor affected by
reducing the rms value of the supply
voltage at the rated frequency is
A. rotor leakage reactance
B. stator resistance
C. rotor resistance
D. magnetizing reactance
8. The output response of a system is
denoted as y(t), and its Laplace transform
is given by
( )
( )
2
10
.
100 2
=
++
Ys
s s s
The steady state value of y(t) is
A. 10 2 B. 100 2
C.
1
10 2
D.
1
100 2
9. The open loop transfer function of a unity
feedback system is given by
( )
0.25
.
?
?
=
s
e
Gs
s
In G(s) plane, the Nyquist plot of G(s)
passes through the negative real axis at
the point
A. (-0.5, j0) B. (-1.5, j0)
C. (-1.25, j0) D. (-0.75, j0)
10. A current controlled current source (CCCS)
has an input impedance of 10 ? and output
impedance of 100 k?. When this CCCS is
used in a negative feedback closed loop
with a loop gain of 9, the closed loop
output impedance is
A. 100 k? B. 1000 k?
C. 100 ? D. 10 ?
11. A six-pulse thyristor bridge rectifier is
connected to a balanced three-phase, 50
Hz AC source. Assuming that the DC
output current of the rectifier is constant,
the lowest harmonic component in the AC
input current is
A. 100 Hz B. 150 Hz
C. 300 Hz D. 250 Hz
12. The current I flowing in the circuit shown
below in amperes (round off to one decimal
place) is ___________.
13. The partial differential equation
2 2 2
2
2 2 2
0;
?? ? ? ?
? + =
??
? ? ?
??
u u u
c
t x y
where c ? 0
is known as
A. Poisson?s equation
B. wave equation
C. Laplace equation
D. heat equation
14. Which one of the following function is
analytic in the region |z| ? 1?
A.
2
1
2
?
+
z
z
B.
2
1 ? z
z
C.
2
1
0.5
?
?
z
z
D.
2
1
0.5
?
?
z
zj
4
15. If f = 2x
3
+ 3y
2
+ 4z, the value of line
integral
? C
grade f . dr evaluated over
contour C formed by the segments (-3, -3,
2) ? (2, -3, 2) ? (2, 6, 2) ? (1, 6, -1) is
___________.
16. Five alternators each rated 5 MVA, 13.2 kV
with 25% of reactance on its own base are
connected in parallel to a busbar. The
short-circuit level in MVA at the busbar is
___________.
17. Given Vgs is the gate-source voltage, Vds is
the drain voltage, and Vth is threshold
voltage of an enhancement type NMOS
transistor, the conditions for transistor to
be biased in saturation are
A. Vgs > Vth ; Vds ? Vgs ? Vth
B. Vgs < Vth ; Vds ? Vgs ? Vth
C. Vgs > Vth ; Vds ? Vgs ? Vth
D. Vgs < Vth ; Vds ? Vgs - Vth
18. The total impedance of the secondary
winding, leads, and burden of a 5 A CT is
0.01 ?. If the fault current is 20 times the
rated primary current of the CT, the VA
output of the CT is ___________.
19. The Ybus matrix of a two-bus power system
having two identical parallel lines
connected between them in pu is given as
8 20
.
20 8
???
=
??
?
??
bus
jj
Y
jj
The magnitude of the series reactance of
each line in pu (round off up to one
decimal place) is ___________.
20. The rank of the matrix,
0 1 1
1 0 1 ,
1 1 0
??
??
=
??
??
??
M is
__________.
21. The symbols, a and T, represent positive
quantities, and u(t) is the unit step
function. Which one of the following
impulse responses is NOT the output of a
causal linear time-invariant system?
A. e
-a(t ? T)
u(t) B. e
+at
u(t)
C. 1 + e
-at
u(t) D. e
-a(t + T)
u(t)
22. A system transfer function is
( )
2
1 1 1
2
2 2 2
.
++
=
++
as bs c
Hs
as bs c
If a1 = b1 = 0, and
all other coefficients are positive, the
transfer function represents a
A. high pass filter
B. band pass filter
C. notch filter
D. low pass filter
23. The output voltage of a single-phase full
bridge voltage source inverter is controlled
by unipolar PWM with one pulse per half
cycle. For the fundamental rms component
of output voltage to be 75% of DC voltage,
the required pulse width in degrees (round
off up to one decimal place) is ________.
24. In the circuit shown below, the switch is
closed at t = 0. The value of ? in degrees
which will give the maximum value of DC
offset of the current at the time of
switching is
A. 60 B. 90
C. -30 D. -45
25. M is a 2 ? 2 matrix with eigenvalues 4 and
9. The eigenvalues of M
2
are
A. 2 and 3 B. -2 and 3
C. 16 and 81 D. 4 and 9
26. A three-phase 50 Hz, 400 kV transmission
line is 300 km long. The line inductance is
1 mH/km per phase, and the capacitance is
0.01 ?F/km per phase. The line is under
open circuit condition at the receiving end
and energized with 400 kV at the sending
end, the receiving end and energized with
400 kV at the sending end, the receiving
end line voltage end line voltage in kV
(round off to two decimal places) will be
_____________.
27. The current I flowing in the circuit shown
below in amperes is ______________.
FirstRanker.com - FirstRanker's Choice
2
1. Newspapers are a constant source of
delight and recreation for me. The
________ trouble is that I read _______
many of them
A. even, too B. even, quite
C. only, quite D. only, too
2. The missing number in the given sequence
343,1331,______, 4913 is
A. 2744 B. 2197
C. 4096 D. 3375
3. The passengers were angry _______ the
airline staff about the delay.
A. towards B. on
C. with D. about
4. It takes two hours for a person X to mow
the lawn. Y can move the same lawn in
four hours. How long (in minutes) will it
take X and Y, if they work together to
move the lawn?
A. 120 B. 80
C. 60 D. 90
5. I am not sure if the bus that has been
booked will be able to ____ all the
students.
A. sit B. deteriorate
C. accommodate D. fill
6. Given two sets X = {1, 2, 3} and Y = {2,
3, 4}, we construct a set Z of all possible
fractions where the numerators belong to
set X and the denominators belong to set
Y. The product of element having minimum
and maximum values in the set Z is
__________.
A. 3/8 B. 1/12
C. 1/8 D. 1/6
7. The ratio of the number of boys and girls
who participated in an examination is
4 : 3. The total percentage of candidates
who passed the examination is 80 and
the percentage of girls who passed is 90.
The percentage of boys who passed is
__________
A. 80.50 B. 55.50
C. 72.50 D. 90.00
8. An award-winning study by a group of
researchers suggests that men are as
prone to buying on impulse as women feel
more guilty about shopping.
Which one of the following statements can
be inferred from the given text?
A. Some men and women indulge in
buying on impulse
B. Few men and women indulge in buying
on impulse
C. Many men and women indulge in
buying on impulse
D. All men and women indulge in buying
on impulse
9. How many integers are there between 100
and 1000 all of whose digits are even?
A. 100 B. 60
C. 90 D. 80
10. Consider five people ? Mita, Ganga, Rekha,
Lakshmi and Sana. Ganga is taller than
both Rekha and Lakshmi. Lakshmi is taller
than Sana. Mita is taller than Ganga.
Which of the following conclusions are
true?
1. Lakshmi is taller than Rekha
2. Rekha is shorter than Mita
3. Rekha is taller than Sana
4. Sana is shorter than Ganga
A. 1 and 3 B. 1 only
C. 2 and 4 D. 3 only
SECTION : EE ELECTRICAL ENGINEERING
1. The mean-square of a zero-mean random
process is ,
kT
C
where k is Boltzmann?s
constant, T is the absolute temperature,
and C is capacitance. The standard
deviation of the random process is
A.
kT
C
B.
kT
C
C.
kT
C
D.
c
kT
2. The characteristic equation of a linear time-
invariant (LTI) system is given by
?(s) = s
4
+ 3s
3
+ 3s
2
+ s + k = 0.
The system is BIBO stable if
A.
12
0
9
?? k B.
8
0
9
?? k
C. k > 6 D. k > 3
3. The inverse Laplace transform of
( )
2
3
21
+
=
++
s
Hs
ss
for ? 0 is
A. 2te
-t
+ e
-t
B. 3te
-t
+ e
-t
C. 3 e
-t
D. 4 te
-t
+ e
-t
3
4. A 5 kVA, 50 V/100 V, single-phase
transformer has a secondary terminal
voltage of 95 V when loaded. The
regulation of the transformer is
A. 9% B. 4.5%
C. 1% D. 5%
5. A three-phase synchronous motor draws
200 A from the line at unity power factor at
rated load. Considering the same line
voltage and load, the line current at power
factor of 0.5 leading is
A. 400 A B. 300 A
C. 200 A D. 100 A
6. A cv-axial cylindrical capacitor shown in
Figure (i) has dielectric with relative
permittivity ?r1 = 2. When one-fourth
portion of the dielectric is replaced with
another dielectric of relative permittivity
?r2, as shown to Figure (ii), the capacitance
is doubled. The value of ?r2 is _________.
7. The parameter of an equivalent circuit of a
three-phase induction motor affected by
reducing the rms value of the supply
voltage at the rated frequency is
A. rotor leakage reactance
B. stator resistance
C. rotor resistance
D. magnetizing reactance
8. The output response of a system is
denoted as y(t), and its Laplace transform
is given by
( )
( )
2
10
.
100 2
=
++
Ys
s s s
The steady state value of y(t) is
A. 10 2 B. 100 2
C.
1
10 2
D.
1
100 2
9. The open loop transfer function of a unity
feedback system is given by
( )
0.25
.
?
?
=
s
e
Gs
s
In G(s) plane, the Nyquist plot of G(s)
passes through the negative real axis at
the point
A. (-0.5, j0) B. (-1.5, j0)
C. (-1.25, j0) D. (-0.75, j0)
10. A current controlled current source (CCCS)
has an input impedance of 10 ? and output
impedance of 100 k?. When this CCCS is
used in a negative feedback closed loop
with a loop gain of 9, the closed loop
output impedance is
A. 100 k? B. 1000 k?
C. 100 ? D. 10 ?
11. A six-pulse thyristor bridge rectifier is
connected to a balanced three-phase, 50
Hz AC source. Assuming that the DC
output current of the rectifier is constant,
the lowest harmonic component in the AC
input current is
A. 100 Hz B. 150 Hz
C. 300 Hz D. 250 Hz
12. The current I flowing in the circuit shown
below in amperes (round off to one decimal
place) is ___________.
13. The partial differential equation
2 2 2
2
2 2 2
0;
?? ? ? ?
? + =
??
? ? ?
??
u u u
c
t x y
where c ? 0
is known as
A. Poisson?s equation
B. wave equation
C. Laplace equation
D. heat equation
14. Which one of the following function is
analytic in the region |z| ? 1?
A.
2
1
2
?
+
z
z
B.
2
1 ? z
z
C.
2
1
0.5
?
?
z
z
D.
2
1
0.5
?
?
z
zj
4
15. If f = 2x
3
+ 3y
2
+ 4z, the value of line
integral
? C
grade f . dr evaluated over
contour C formed by the segments (-3, -3,
2) ? (2, -3, 2) ? (2, 6, 2) ? (1, 6, -1) is
___________.
16. Five alternators each rated 5 MVA, 13.2 kV
with 25% of reactance on its own base are
connected in parallel to a busbar. The
short-circuit level in MVA at the busbar is
___________.
17. Given Vgs is the gate-source voltage, Vds is
the drain voltage, and Vth is threshold
voltage of an enhancement type NMOS
transistor, the conditions for transistor to
be biased in saturation are
A. Vgs > Vth ; Vds ? Vgs ? Vth
B. Vgs < Vth ; Vds ? Vgs ? Vth
C. Vgs > Vth ; Vds ? Vgs ? Vth
D. Vgs < Vth ; Vds ? Vgs - Vth
18. The total impedance of the secondary
winding, leads, and burden of a 5 A CT is
0.01 ?. If the fault current is 20 times the
rated primary current of the CT, the VA
output of the CT is ___________.
19. The Ybus matrix of a two-bus power system
having two identical parallel lines
connected between them in pu is given as
8 20
.
20 8
???
=
??
?
??
bus
jj
Y
jj
The magnitude of the series reactance of
each line in pu (round off up to one
decimal place) is ___________.
20. The rank of the matrix,
0 1 1
1 0 1 ,
1 1 0
??
??
=
??
??
??
M is
__________.
21. The symbols, a and T, represent positive
quantities, and u(t) is the unit step
function. Which one of the following
impulse responses is NOT the output of a
causal linear time-invariant system?
A. e
-a(t ? T)
u(t) B. e
+at
u(t)
C. 1 + e
-at
u(t) D. e
-a(t + T)
u(t)
22. A system transfer function is
( )
2
1 1 1
2
2 2 2
.
++
=
++
as bs c
Hs
as bs c
If a1 = b1 = 0, and
all other coefficients are positive, the
transfer function represents a
A. high pass filter
B. band pass filter
C. notch filter
D. low pass filter
23. The output voltage of a single-phase full
bridge voltage source inverter is controlled
by unipolar PWM with one pulse per half
cycle. For the fundamental rms component
of output voltage to be 75% of DC voltage,
the required pulse width in degrees (round
off up to one decimal place) is ________.
24. In the circuit shown below, the switch is
closed at t = 0. The value of ? in degrees
which will give the maximum value of DC
offset of the current at the time of
switching is
A. 60 B. 90
C. -30 D. -45
25. M is a 2 ? 2 matrix with eigenvalues 4 and
9. The eigenvalues of M
2
are
A. 2 and 3 B. -2 and 3
C. 16 and 81 D. 4 and 9
26. A three-phase 50 Hz, 400 kV transmission
line is 300 km long. The line inductance is
1 mH/km per phase, and the capacitance is
0.01 ?F/km per phase. The line is under
open circuit condition at the receiving end
and energized with 400 kV at the sending
end, the receiving end and energized with
400 kV at the sending end, the receiving
end line voltage end line voltage in kV
(round off to two decimal places) will be
_____________.
27. The current I flowing in the circuit shown
below in amperes is ______________.
5
28. A 220 V (line), three-phase, Y-connected,
synchronous motor has a synchronous
impedance of (0.25 + j2.5) ?/phase. The
motor draws the rated current of 10 A at
0.8 pf leading. The rms value of line-to-line
internal voltage in volts (round off to two
decimal places) is ____________.
29. The closed loop line integral
32
| | 5
8
2
=
++
+
?
z
zz
dz
z
evaluated counter-clockwise, is
A. +4j ? B. -4j ?
C. + 8j ? D. -8j ?
30. The voltage across and the current through
a load are expressed as follows
( ) 170 sin 377 V
6
? ??
= ? ?
??
??
v t t
( ) 8cos 377 A
6
? ??
=+
??
??
i t t
The average power in watts (round off to
one decimal place) consumed by the load
is _____________.
31. A delta-connected, 3.7 kW, 400 V(line),
three-phase, 4-pole, 50-Hz squirrel-cage
induction motor has the following
equivalent circuit parameters per phase
referred to the stator: R1 = 5.39 ?,
R2 = 5.72 ?, X1 = X2 = 8.22 ?. Neglect
shunt branch in the equivalent circuit. The
starting line current in amperes (round off
to two decimal places) when it is connected
to a 100 V (line), 10 Hz, three-phase AC
source is __________.
32. In a 132 kV system, the series inductance
up to the point of circuit breaker location is
50 mH. The shunt capacitance at the circuit
breaker terminal is 0.05 ?F. The critical
value of resistance in ohms required to be
connected across the circuit breaker
contacts which will give no transient
oscillation is _____________.
33. In the single machine infinite bus system
shown below, the generator is delivering
the real power of 0.8 pu at 0.8 power
factor lagging to the infinite bus. The
power angle of the generator in degrees
(round off to one decimal place) is
____________.
34. In the circuit below, the operational
amplifier is ideal. If V1 = 10 mV and
V2 = 50 mV, the output voltage (Vout) is
A. 600 mV B. 500 mV
C. 400 mV D. 100 mV
35. In the circuit shown below, X and Y are
digital inputs, and Z is a digital output. The
equivalent circuit is a
A. XOR gate B. NAND gate
C. XNOR gate D. NOR gate
36. A 0.1 ?F capacitor charged to 100 V is
discharged through a 1 k? resistor. The
time in ms (round off to two decimal
places) required for the voltage across the
capacitor to drop to 1 V is _________.
37. A periodic function f(t), with a period of 2?,
is represented as its Fourier series,
( )
0
11
cos sin .
nn
nn
f t a a nt b nt
??
==
= + +
??
If
( )
sin , 0
.
02
A t t
ft
t
?
??
?? ?
=
?
??
?
the Fourier series coefficients a1 and b1 of
f(t) are
A. a1 = 0; b1 = A/ ? B.
11
0;
2
A
ab ==
C.
11
;0
A
ab
?
== D.
11
;0
2
A
ab ==
FirstRanker.com - FirstRanker's Choice
2
1. Newspapers are a constant source of
delight and recreation for me. The
________ trouble is that I read _______
many of them
A. even, too B. even, quite
C. only, quite D. only, too
2. The missing number in the given sequence
343,1331,______, 4913 is
A. 2744 B. 2197
C. 4096 D. 3375
3. The passengers were angry _______ the
airline staff about the delay.
A. towards B. on
C. with D. about
4. It takes two hours for a person X to mow
the lawn. Y can move the same lawn in
four hours. How long (in minutes) will it
take X and Y, if they work together to
move the lawn?
A. 120 B. 80
C. 60 D. 90
5. I am not sure if the bus that has been
booked will be able to ____ all the
students.
A. sit B. deteriorate
C. accommodate D. fill
6. Given two sets X = {1, 2, 3} and Y = {2,
3, 4}, we construct a set Z of all possible
fractions where the numerators belong to
set X and the denominators belong to set
Y. The product of element having minimum
and maximum values in the set Z is
__________.
A. 3/8 B. 1/12
C. 1/8 D. 1/6
7. The ratio of the number of boys and girls
who participated in an examination is
4 : 3. The total percentage of candidates
who passed the examination is 80 and
the percentage of girls who passed is 90.
The percentage of boys who passed is
__________
A. 80.50 B. 55.50
C. 72.50 D. 90.00
8. An award-winning study by a group of
researchers suggests that men are as
prone to buying on impulse as women feel
more guilty about shopping.
Which one of the following statements can
be inferred from the given text?
A. Some men and women indulge in
buying on impulse
B. Few men and women indulge in buying
on impulse
C. Many men and women indulge in
buying on impulse
D. All men and women indulge in buying
on impulse
9. How many integers are there between 100
and 1000 all of whose digits are even?
A. 100 B. 60
C. 90 D. 80
10. Consider five people ? Mita, Ganga, Rekha,
Lakshmi and Sana. Ganga is taller than
both Rekha and Lakshmi. Lakshmi is taller
than Sana. Mita is taller than Ganga.
Which of the following conclusions are
true?
1. Lakshmi is taller than Rekha
2. Rekha is shorter than Mita
3. Rekha is taller than Sana
4. Sana is shorter than Ganga
A. 1 and 3 B. 1 only
C. 2 and 4 D. 3 only
SECTION : EE ELECTRICAL ENGINEERING
1. The mean-square of a zero-mean random
process is ,
kT
C
where k is Boltzmann?s
constant, T is the absolute temperature,
and C is capacitance. The standard
deviation of the random process is
A.
kT
C
B.
kT
C
C.
kT
C
D.
c
kT
2. The characteristic equation of a linear time-
invariant (LTI) system is given by
?(s) = s
4
+ 3s
3
+ 3s
2
+ s + k = 0.
The system is BIBO stable if
A.
12
0
9
?? k B.
8
0
9
?? k
C. k > 6 D. k > 3
3. The inverse Laplace transform of
( )
2
3
21
+
=
++
s
Hs
ss
for ? 0 is
A. 2te
-t
+ e
-t
B. 3te
-t
+ e
-t
C. 3 e
-t
D. 4 te
-t
+ e
-t
3
4. A 5 kVA, 50 V/100 V, single-phase
transformer has a secondary terminal
voltage of 95 V when loaded. The
regulation of the transformer is
A. 9% B. 4.5%
C. 1% D. 5%
5. A three-phase synchronous motor draws
200 A from the line at unity power factor at
rated load. Considering the same line
voltage and load, the line current at power
factor of 0.5 leading is
A. 400 A B. 300 A
C. 200 A D. 100 A
6. A cv-axial cylindrical capacitor shown in
Figure (i) has dielectric with relative
permittivity ?r1 = 2. When one-fourth
portion of the dielectric is replaced with
another dielectric of relative permittivity
?r2, as shown to Figure (ii), the capacitance
is doubled. The value of ?r2 is _________.
7. The parameter of an equivalent circuit of a
three-phase induction motor affected by
reducing the rms value of the supply
voltage at the rated frequency is
A. rotor leakage reactance
B. stator resistance
C. rotor resistance
D. magnetizing reactance
8. The output response of a system is
denoted as y(t), and its Laplace transform
is given by
( )
( )
2
10
.
100 2
=
++
Ys
s s s
The steady state value of y(t) is
A. 10 2 B. 100 2
C.
1
10 2
D.
1
100 2
9. The open loop transfer function of a unity
feedback system is given by
( )
0.25
.
?
?
=
s
e
Gs
s
In G(s) plane, the Nyquist plot of G(s)
passes through the negative real axis at
the point
A. (-0.5, j0) B. (-1.5, j0)
C. (-1.25, j0) D. (-0.75, j0)
10. A current controlled current source (CCCS)
has an input impedance of 10 ? and output
impedance of 100 k?. When this CCCS is
used in a negative feedback closed loop
with a loop gain of 9, the closed loop
output impedance is
A. 100 k? B. 1000 k?
C. 100 ? D. 10 ?
11. A six-pulse thyristor bridge rectifier is
connected to a balanced three-phase, 50
Hz AC source. Assuming that the DC
output current of the rectifier is constant,
the lowest harmonic component in the AC
input current is
A. 100 Hz B. 150 Hz
C. 300 Hz D. 250 Hz
12. The current I flowing in the circuit shown
below in amperes (round off to one decimal
place) is ___________.
13. The partial differential equation
2 2 2
2
2 2 2
0;
?? ? ? ?
? + =
??
? ? ?
??
u u u
c
t x y
where c ? 0
is known as
A. Poisson?s equation
B. wave equation
C. Laplace equation
D. heat equation
14. Which one of the following function is
analytic in the region |z| ? 1?
A.
2
1
2
?
+
z
z
B.
2
1 ? z
z
C.
2
1
0.5
?
?
z
z
D.
2
1
0.5
?
?
z
zj
4
15. If f = 2x
3
+ 3y
2
+ 4z, the value of line
integral
? C
grade f . dr evaluated over
contour C formed by the segments (-3, -3,
2) ? (2, -3, 2) ? (2, 6, 2) ? (1, 6, -1) is
___________.
16. Five alternators each rated 5 MVA, 13.2 kV
with 25% of reactance on its own base are
connected in parallel to a busbar. The
short-circuit level in MVA at the busbar is
___________.
17. Given Vgs is the gate-source voltage, Vds is
the drain voltage, and Vth is threshold
voltage of an enhancement type NMOS
transistor, the conditions for transistor to
be biased in saturation are
A. Vgs > Vth ; Vds ? Vgs ? Vth
B. Vgs < Vth ; Vds ? Vgs ? Vth
C. Vgs > Vth ; Vds ? Vgs ? Vth
D. Vgs < Vth ; Vds ? Vgs - Vth
18. The total impedance of the secondary
winding, leads, and burden of a 5 A CT is
0.01 ?. If the fault current is 20 times the
rated primary current of the CT, the VA
output of the CT is ___________.
19. The Ybus matrix of a two-bus power system
having two identical parallel lines
connected between them in pu is given as
8 20
.
20 8
???
=
??
?
??
bus
jj
Y
jj
The magnitude of the series reactance of
each line in pu (round off up to one
decimal place) is ___________.
20. The rank of the matrix,
0 1 1
1 0 1 ,
1 1 0
??
??
=
??
??
??
M is
__________.
21. The symbols, a and T, represent positive
quantities, and u(t) is the unit step
function. Which one of the following
impulse responses is NOT the output of a
causal linear time-invariant system?
A. e
-a(t ? T)
u(t) B. e
+at
u(t)
C. 1 + e
-at
u(t) D. e
-a(t + T)
u(t)
22. A system transfer function is
( )
2
1 1 1
2
2 2 2
.
++
=
++
as bs c
Hs
as bs c
If a1 = b1 = 0, and
all other coefficients are positive, the
transfer function represents a
A. high pass filter
B. band pass filter
C. notch filter
D. low pass filter
23. The output voltage of a single-phase full
bridge voltage source inverter is controlled
by unipolar PWM with one pulse per half
cycle. For the fundamental rms component
of output voltage to be 75% of DC voltage,
the required pulse width in degrees (round
off up to one decimal place) is ________.
24. In the circuit shown below, the switch is
closed at t = 0. The value of ? in degrees
which will give the maximum value of DC
offset of the current at the time of
switching is
A. 60 B. 90
C. -30 D. -45
25. M is a 2 ? 2 matrix with eigenvalues 4 and
9. The eigenvalues of M
2
are
A. 2 and 3 B. -2 and 3
C. 16 and 81 D. 4 and 9
26. A three-phase 50 Hz, 400 kV transmission
line is 300 km long. The line inductance is
1 mH/km per phase, and the capacitance is
0.01 ?F/km per phase. The line is under
open circuit condition at the receiving end
and energized with 400 kV at the sending
end, the receiving end and energized with
400 kV at the sending end, the receiving
end line voltage end line voltage in kV
(round off to two decimal places) will be
_____________.
27. The current I flowing in the circuit shown
below in amperes is ______________.
5
28. A 220 V (line), three-phase, Y-connected,
synchronous motor has a synchronous
impedance of (0.25 + j2.5) ?/phase. The
motor draws the rated current of 10 A at
0.8 pf leading. The rms value of line-to-line
internal voltage in volts (round off to two
decimal places) is ____________.
29. The closed loop line integral
32
| | 5
8
2
=
++
+
?
z
zz
dz
z
evaluated counter-clockwise, is
A. +4j ? B. -4j ?
C. + 8j ? D. -8j ?
30. The voltage across and the current through
a load are expressed as follows
( ) 170 sin 377 V
6
? ??
= ? ?
??
??
v t t
( ) 8cos 377 A
6
? ??
=+
??
??
i t t
The average power in watts (round off to
one decimal place) consumed by the load
is _____________.
31. A delta-connected, 3.7 kW, 400 V(line),
three-phase, 4-pole, 50-Hz squirrel-cage
induction motor has the following
equivalent circuit parameters per phase
referred to the stator: R1 = 5.39 ?,
R2 = 5.72 ?, X1 = X2 = 8.22 ?. Neglect
shunt branch in the equivalent circuit. The
starting line current in amperes (round off
to two decimal places) when it is connected
to a 100 V (line), 10 Hz, three-phase AC
source is __________.
32. In a 132 kV system, the series inductance
up to the point of circuit breaker location is
50 mH. The shunt capacitance at the circuit
breaker terminal is 0.05 ?F. The critical
value of resistance in ohms required to be
connected across the circuit breaker
contacts which will give no transient
oscillation is _____________.
33. In the single machine infinite bus system
shown below, the generator is delivering
the real power of 0.8 pu at 0.8 power
factor lagging to the infinite bus. The
power angle of the generator in degrees
(round off to one decimal place) is
____________.
34. In the circuit below, the operational
amplifier is ideal. If V1 = 10 mV and
V2 = 50 mV, the output voltage (Vout) is
A. 600 mV B. 500 mV
C. 400 mV D. 100 mV
35. In the circuit shown below, X and Y are
digital inputs, and Z is a digital output. The
equivalent circuit is a
A. XOR gate B. NAND gate
C. XNOR gate D. NOR gate
36. A 0.1 ?F capacitor charged to 100 V is
discharged through a 1 k? resistor. The
time in ms (round off to two decimal
places) required for the voltage across the
capacitor to drop to 1 V is _________.
37. A periodic function f(t), with a period of 2?,
is represented as its Fourier series,
( )
0
11
cos sin .
nn
nn
f t a a nt b nt
??
==
= + +
??
If
( )
sin , 0
.
02
A t t
ft
t
?
??
?? ?
=
?
??
?
the Fourier series coefficients a1 and b1 of
f(t) are
A. a1 = 0; b1 = A/ ? B.
11
0;
2
A
ab ==
C.
11
;0
A
ab
?
== D.
11
;0
2
A
ab ==
6
38. If A = 2xi + 3yj + 4zk and u = x
2
+ y
2
+
z
2
, then div (uA) at (1, 1, 1) is ________.
39. A moving coil instrument having a
resistance of 10 ?, gives a full-scale
deflection when the current is 10 mA. What
should be the value of the series
resistance, so that it can be used as a
voltmeter for measuring potential
difference up to 100 V?
A. 9990 ? B. 990 ?
C. 99 ? D. 9 ?
40. Consider a state-variable model of a
system
11
22
1
2
0 1 0
2
10
xx
r
xx
x
y
x
? ? ?
? ? ? ? ? ? ? ?
=+
? ? ? ? ? ? ? ?
??
? ? ? ? ? ? ? ?
??
=??
??
??
??
where y is the output, and r is the input.
The damping ratio ? and the undamped
natural frequency ?n (rad/sec) of the
system are given by
A. ;
n
? ? ? ? ==
B. ;
n
?
? ? ?
?
==
C. ;
n
?
? ? ?
?
==
D. ;
n
?
? ? ?
?
==
41. The enhancement type MOSFET in the
circuit below operates according to the
square law. ?nCox = 100 ?A/V
2
, the
threshold voltage (VT) is 500 mV. Ignore
channel length modulation. The output
voltage Vout is
A. 600 mV B. 500 mV
C. 2 V D. 100 mV
42. The asymptotic Bode magnitude plot of a
minimum phase transfer function G(s) is
shown below.
Consider the following two statements.
Statement I : Transfer function G(s) has
three poles and one zero.
Statement II : At very high frequency (? ?
?), the phase angle ( )
3
.
2
Gj
?
? ? = ?
Which one of the following options is
correct?
A. Both the statements are true.
B. Both the statements are false.
C. Statement I is false and statement II is
true.
D. Statement I is true and statement II is
false.
43. A single-phase transformer of rating 25
kVA, supplies a 12 kW load at power factor
of 0.6 lagging. The additional load at unity
power factor in kW (round off to two
decimal places) that may be added before
this transformer exceeds its rated kVA is
_____________.
44. Consider a 2 ? 2 matrix M = [v1 v2],
where. v1 and v2 are the column vectors.
suppose
1 1
2
,
T
T
u
M
u
?
??
=??
??
??
where
1
T
u and
2
T
u are
the row vectors. Consider the following
statements :
Statement 1 :
11
1
T
uv = and
22
1
T
uv =
Statement 2 :
11
0
T
uv = and
21
0
T
uv =
Which of the following options is correct?
A. Both the statements are false
B. Statement 2 is true and statement 1 is
false
FirstRanker.com - FirstRanker's Choice
2
1. Newspapers are a constant source of
delight and recreation for me. The
________ trouble is that I read _______
many of them
A. even, too B. even, quite
C. only, quite D. only, too
2. The missing number in the given sequence
343,1331,______, 4913 is
A. 2744 B. 2197
C. 4096 D. 3375
3. The passengers were angry _______ the
airline staff about the delay.
A. towards B. on
C. with D. about
4. It takes two hours for a person X to mow
the lawn. Y can move the same lawn in
four hours. How long (in minutes) will it
take X and Y, if they work together to
move the lawn?
A. 120 B. 80
C. 60 D. 90
5. I am not sure if the bus that has been
booked will be able to ____ all the
students.
A. sit B. deteriorate
C. accommodate D. fill
6. Given two sets X = {1, 2, 3} and Y = {2,
3, 4}, we construct a set Z of all possible
fractions where the numerators belong to
set X and the denominators belong to set
Y. The product of element having minimum
and maximum values in the set Z is
__________.
A. 3/8 B. 1/12
C. 1/8 D. 1/6
7. The ratio of the number of boys and girls
who participated in an examination is
4 : 3. The total percentage of candidates
who passed the examination is 80 and
the percentage of girls who passed is 90.
The percentage of boys who passed is
__________
A. 80.50 B. 55.50
C. 72.50 D. 90.00
8. An award-winning study by a group of
researchers suggests that men are as
prone to buying on impulse as women feel
more guilty about shopping.
Which one of the following statements can
be inferred from the given text?
A. Some men and women indulge in
buying on impulse
B. Few men and women indulge in buying
on impulse
C. Many men and women indulge in
buying on impulse
D. All men and women indulge in buying
on impulse
9. How many integers are there between 100
and 1000 all of whose digits are even?
A. 100 B. 60
C. 90 D. 80
10. Consider five people ? Mita, Ganga, Rekha,
Lakshmi and Sana. Ganga is taller than
both Rekha and Lakshmi. Lakshmi is taller
than Sana. Mita is taller than Ganga.
Which of the following conclusions are
true?
1. Lakshmi is taller than Rekha
2. Rekha is shorter than Mita
3. Rekha is taller than Sana
4. Sana is shorter than Ganga
A. 1 and 3 B. 1 only
C. 2 and 4 D. 3 only
SECTION : EE ELECTRICAL ENGINEERING
1. The mean-square of a zero-mean random
process is ,
kT
C
where k is Boltzmann?s
constant, T is the absolute temperature,
and C is capacitance. The standard
deviation of the random process is
A.
kT
C
B.
kT
C
C.
kT
C
D.
c
kT
2. The characteristic equation of a linear time-
invariant (LTI) system is given by
?(s) = s
4
+ 3s
3
+ 3s
2
+ s + k = 0.
The system is BIBO stable if
A.
12
0
9
?? k B.
8
0
9
?? k
C. k > 6 D. k > 3
3. The inverse Laplace transform of
( )
2
3
21
+
=
++
s
Hs
ss
for ? 0 is
A. 2te
-t
+ e
-t
B. 3te
-t
+ e
-t
C. 3 e
-t
D. 4 te
-t
+ e
-t
3
4. A 5 kVA, 50 V/100 V, single-phase
transformer has a secondary terminal
voltage of 95 V when loaded. The
regulation of the transformer is
A. 9% B. 4.5%
C. 1% D. 5%
5. A three-phase synchronous motor draws
200 A from the line at unity power factor at
rated load. Considering the same line
voltage and load, the line current at power
factor of 0.5 leading is
A. 400 A B. 300 A
C. 200 A D. 100 A
6. A cv-axial cylindrical capacitor shown in
Figure (i) has dielectric with relative
permittivity ?r1 = 2. When one-fourth
portion of the dielectric is replaced with
another dielectric of relative permittivity
?r2, as shown to Figure (ii), the capacitance
is doubled. The value of ?r2 is _________.
7. The parameter of an equivalent circuit of a
three-phase induction motor affected by
reducing the rms value of the supply
voltage at the rated frequency is
A. rotor leakage reactance
B. stator resistance
C. rotor resistance
D. magnetizing reactance
8. The output response of a system is
denoted as y(t), and its Laplace transform
is given by
( )
( )
2
10
.
100 2
=
++
Ys
s s s
The steady state value of y(t) is
A. 10 2 B. 100 2
C.
1
10 2
D.
1
100 2
9. The open loop transfer function of a unity
feedback system is given by
( )
0.25
.
?
?
=
s
e
Gs
s
In G(s) plane, the Nyquist plot of G(s)
passes through the negative real axis at
the point
A. (-0.5, j0) B. (-1.5, j0)
C. (-1.25, j0) D. (-0.75, j0)
10. A current controlled current source (CCCS)
has an input impedance of 10 ? and output
impedance of 100 k?. When this CCCS is
used in a negative feedback closed loop
with a loop gain of 9, the closed loop
output impedance is
A. 100 k? B. 1000 k?
C. 100 ? D. 10 ?
11. A six-pulse thyristor bridge rectifier is
connected to a balanced three-phase, 50
Hz AC source. Assuming that the DC
output current of the rectifier is constant,
the lowest harmonic component in the AC
input current is
A. 100 Hz B. 150 Hz
C. 300 Hz D. 250 Hz
12. The current I flowing in the circuit shown
below in amperes (round off to one decimal
place) is ___________.
13. The partial differential equation
2 2 2
2
2 2 2
0;
?? ? ? ?
? + =
??
? ? ?
??
u u u
c
t x y
where c ? 0
is known as
A. Poisson?s equation
B. wave equation
C. Laplace equation
D. heat equation
14. Which one of the following function is
analytic in the region |z| ? 1?
A.
2
1
2
?
+
z
z
B.
2
1 ? z
z
C.
2
1
0.5
?
?
z
z
D.
2
1
0.5
?
?
z
zj
4
15. If f = 2x
3
+ 3y
2
+ 4z, the value of line
integral
? C
grade f . dr evaluated over
contour C formed by the segments (-3, -3,
2) ? (2, -3, 2) ? (2, 6, 2) ? (1, 6, -1) is
___________.
16. Five alternators each rated 5 MVA, 13.2 kV
with 25% of reactance on its own base are
connected in parallel to a busbar. The
short-circuit level in MVA at the busbar is
___________.
17. Given Vgs is the gate-source voltage, Vds is
the drain voltage, and Vth is threshold
voltage of an enhancement type NMOS
transistor, the conditions for transistor to
be biased in saturation are
A. Vgs > Vth ; Vds ? Vgs ? Vth
B. Vgs < Vth ; Vds ? Vgs ? Vth
C. Vgs > Vth ; Vds ? Vgs ? Vth
D. Vgs < Vth ; Vds ? Vgs - Vth
18. The total impedance of the secondary
winding, leads, and burden of a 5 A CT is
0.01 ?. If the fault current is 20 times the
rated primary current of the CT, the VA
output of the CT is ___________.
19. The Ybus matrix of a two-bus power system
having two identical parallel lines
connected between them in pu is given as
8 20
.
20 8
???
=
??
?
??
bus
jj
Y
jj
The magnitude of the series reactance of
each line in pu (round off up to one
decimal place) is ___________.
20. The rank of the matrix,
0 1 1
1 0 1 ,
1 1 0
??
??
=
??
??
??
M is
__________.
21. The symbols, a and T, represent positive
quantities, and u(t) is the unit step
function. Which one of the following
impulse responses is NOT the output of a
causal linear time-invariant system?
A. e
-a(t ? T)
u(t) B. e
+at
u(t)
C. 1 + e
-at
u(t) D. e
-a(t + T)
u(t)
22. A system transfer function is
( )
2
1 1 1
2
2 2 2
.
++
=
++
as bs c
Hs
as bs c
If a1 = b1 = 0, and
all other coefficients are positive, the
transfer function represents a
A. high pass filter
B. band pass filter
C. notch filter
D. low pass filter
23. The output voltage of a single-phase full
bridge voltage source inverter is controlled
by unipolar PWM with one pulse per half
cycle. For the fundamental rms component
of output voltage to be 75% of DC voltage,
the required pulse width in degrees (round
off up to one decimal place) is ________.
24. In the circuit shown below, the switch is
closed at t = 0. The value of ? in degrees
which will give the maximum value of DC
offset of the current at the time of
switching is
A. 60 B. 90
C. -30 D. -45
25. M is a 2 ? 2 matrix with eigenvalues 4 and
9. The eigenvalues of M
2
are
A. 2 and 3 B. -2 and 3
C. 16 and 81 D. 4 and 9
26. A three-phase 50 Hz, 400 kV transmission
line is 300 km long. The line inductance is
1 mH/km per phase, and the capacitance is
0.01 ?F/km per phase. The line is under
open circuit condition at the receiving end
and energized with 400 kV at the sending
end, the receiving end and energized with
400 kV at the sending end, the receiving
end line voltage end line voltage in kV
(round off to two decimal places) will be
_____________.
27. The current I flowing in the circuit shown
below in amperes is ______________.
5
28. A 220 V (line), three-phase, Y-connected,
synchronous motor has a synchronous
impedance of (0.25 + j2.5) ?/phase. The
motor draws the rated current of 10 A at
0.8 pf leading. The rms value of line-to-line
internal voltage in volts (round off to two
decimal places) is ____________.
29. The closed loop line integral
32
| | 5
8
2
=
++
+
?
z
zz
dz
z
evaluated counter-clockwise, is
A. +4j ? B. -4j ?
C. + 8j ? D. -8j ?
30. The voltage across and the current through
a load are expressed as follows
( ) 170 sin 377 V
6
? ??
= ? ?
??
??
v t t
( ) 8cos 377 A
6
? ??
=+
??
??
i t t
The average power in watts (round off to
one decimal place) consumed by the load
is _____________.
31. A delta-connected, 3.7 kW, 400 V(line),
three-phase, 4-pole, 50-Hz squirrel-cage
induction motor has the following
equivalent circuit parameters per phase
referred to the stator: R1 = 5.39 ?,
R2 = 5.72 ?, X1 = X2 = 8.22 ?. Neglect
shunt branch in the equivalent circuit. The
starting line current in amperes (round off
to two decimal places) when it is connected
to a 100 V (line), 10 Hz, three-phase AC
source is __________.
32. In a 132 kV system, the series inductance
up to the point of circuit breaker location is
50 mH. The shunt capacitance at the circuit
breaker terminal is 0.05 ?F. The critical
value of resistance in ohms required to be
connected across the circuit breaker
contacts which will give no transient
oscillation is _____________.
33. In the single machine infinite bus system
shown below, the generator is delivering
the real power of 0.8 pu at 0.8 power
factor lagging to the infinite bus. The
power angle of the generator in degrees
(round off to one decimal place) is
____________.
34. In the circuit below, the operational
amplifier is ideal. If V1 = 10 mV and
V2 = 50 mV, the output voltage (Vout) is
A. 600 mV B. 500 mV
C. 400 mV D. 100 mV
35. In the circuit shown below, X and Y are
digital inputs, and Z is a digital output. The
equivalent circuit is a
A. XOR gate B. NAND gate
C. XNOR gate D. NOR gate
36. A 0.1 ?F capacitor charged to 100 V is
discharged through a 1 k? resistor. The
time in ms (round off to two decimal
places) required for the voltage across the
capacitor to drop to 1 V is _________.
37. A periodic function f(t), with a period of 2?,
is represented as its Fourier series,
( )
0
11
cos sin .
nn
nn
f t a a nt b nt
??
==
= + +
??
If
( )
sin , 0
.
02
A t t
ft
t
?
??
?? ?
=
?
??
?
the Fourier series coefficients a1 and b1 of
f(t) are
A. a1 = 0; b1 = A/ ? B.
11
0;
2
A
ab ==
C.
11
;0
A
ab
?
== D.
11
;0
2
A
ab ==
6
38. If A = 2xi + 3yj + 4zk and u = x
2
+ y
2
+
z
2
, then div (uA) at (1, 1, 1) is ________.
39. A moving coil instrument having a
resistance of 10 ?, gives a full-scale
deflection when the current is 10 mA. What
should be the value of the series
resistance, so that it can be used as a
voltmeter for measuring potential
difference up to 100 V?
A. 9990 ? B. 990 ?
C. 99 ? D. 9 ?
40. Consider a state-variable model of a
system
11
22
1
2
0 1 0
2
10
xx
r
xx
x
y
x
? ? ?
? ? ? ? ? ? ? ?
=+
? ? ? ? ? ? ? ?
??
? ? ? ? ? ? ? ?
??
=??
??
??
??
where y is the output, and r is the input.
The damping ratio ? and the undamped
natural frequency ?n (rad/sec) of the
system are given by
A. ;
n
? ? ? ? ==
B. ;
n
?
? ? ?
?
==
C. ;
n
?
? ? ?
?
==
D. ;
n
?
? ? ?
?
==
41. The enhancement type MOSFET in the
circuit below operates according to the
square law. ?nCox = 100 ?A/V
2
, the
threshold voltage (VT) is 500 mV. Ignore
channel length modulation. The output
voltage Vout is
A. 600 mV B. 500 mV
C. 2 V D. 100 mV
42. The asymptotic Bode magnitude plot of a
minimum phase transfer function G(s) is
shown below.
Consider the following two statements.
Statement I : Transfer function G(s) has
three poles and one zero.
Statement II : At very high frequency (? ?
?), the phase angle ( )
3
.
2
Gj
?
? ? = ?
Which one of the following options is
correct?
A. Both the statements are true.
B. Both the statements are false.
C. Statement I is false and statement II is
true.
D. Statement I is true and statement II is
false.
43. A single-phase transformer of rating 25
kVA, supplies a 12 kW load at power factor
of 0.6 lagging. The additional load at unity
power factor in kW (round off to two
decimal places) that may be added before
this transformer exceeds its rated kVA is
_____________.
44. Consider a 2 ? 2 matrix M = [v1 v2],
where. v1 and v2 are the column vectors.
suppose
1 1
2
,
T
T
u
M
u
?
??
=??
??
??
where
1
T
u and
2
T
u are
the row vectors. Consider the following
statements :
Statement 1 :
11
1
T
uv = and
22
1
T
uv =
Statement 2 :
11
0
T
uv = and
21
0
T
uv =
Which of the following options is correct?
A. Both the statements are false
B. Statement 2 is true and statement 1 is
false
7
C. Statement 1 is true and statement 2 is
false
D. Both the statements are true
45. A single-phase fully-controlled thyristor
converter is used to obtain an average
voltage of 180 V with 10 A constant
current to feed a DC load. It is fed from
single-phase AC supply of 230 V, 50 Hz.
Neglect the source impedance. The power
factor (round off to two decimal places) of
AC mains is ___________.
46. A DC-DC buck converter operates in
continuous conduction mode. It has 48 V
input voltage, and it feeds a resistive load
of 24 ?. The switching frequency of the
converter is 250 Hz. If switch-on duration
is 1 ms, the load power is
A. 12 W B. 6 W
C. 24 W D. 48 W
47. In a DC-DC boost converter, the duty ratio
is controlled to regulate the output voltage
at 48 V. The input DC voltage is 24 V. The
output power is 120 W. The switching
frequency is 50 kHz. Assume ideal
components and a very large output filter
capacitor. The converter operates at the
boundary between continuous and
discontinuous conduction modes. The value
of the boost inductor (in ?H) is ________.
48. A 220 V DC shunt motor takes 3 A at no-
load. It draws 25 A when running at full-
load at 1500 rpm. The armature and shunt
resistances are 0.5 ? and 220 ?,
respectively. The no-load speed in rpm
(round off to two decimal places) is
________.
49. A fully-controlled three-phase bridge
converter is working from a 415 V, 50 Hz
AC supply. It is supplying constant current
of 100 A at 400 V to a DC load. Assume
large inductive smoothing and neglect
overlap. The rms value of the AC line
current in amperes (round off to two
decimal places) is ________.
50. The output expression for the Karnuaugh
map shown below is
A. QR + S B. + QR S
C. + QR S D. + QR S
51. The probability of a resistor being defective
is 0.02. There are 50 such resistors in a
circuit. The probability of two or more
defective resistors in the circuit (round off
to two decimal places) is __________.
52. The magnetic circuit shown below has
uniform cross-sectional area and air gap of
0.2 cm. The mean path length of the core
is 40 cm. Assume that leakage and fringing
fluxes are negligible. When the core
relative permeability is assumed to be
infinite, the magnetic flux density
computed in the air gap is 1 tesla. With
same Ampere-turns, if the core relative
permeability is assumed to be 1000
(linear), the flux density in tesla (round off
to three decimal places) calculated in the
air gap is _________________.
53. A 30 kV, 50 Hz, 50 MVA generator has the
positive, negative, and zero sequence
reactances of 0.25 pu, 0.15 pu, and 0.05
pu, respectively. The neutral of the
generator is grounded with a reactance so
that the fault current for a bolted LG fault
FirstRanker.com - FirstRanker's Choice
2
1. Newspapers are a constant source of
delight and recreation for me. The
________ trouble is that I read _______
many of them
A. even, too B. even, quite
C. only, quite D. only, too
2. The missing number in the given sequence
343,1331,______, 4913 is
A. 2744 B. 2197
C. 4096 D. 3375
3. The passengers were angry _______ the
airline staff about the delay.
A. towards B. on
C. with D. about
4. It takes two hours for a person X to mow
the lawn. Y can move the same lawn in
four hours. How long (in minutes) will it
take X and Y, if they work together to
move the lawn?
A. 120 B. 80
C. 60 D. 90
5. I am not sure if the bus that has been
booked will be able to ____ all the
students.
A. sit B. deteriorate
C. accommodate D. fill
6. Given two sets X = {1, 2, 3} and Y = {2,
3, 4}, we construct a set Z of all possible
fractions where the numerators belong to
set X and the denominators belong to set
Y. The product of element having minimum
and maximum values in the set Z is
__________.
A. 3/8 B. 1/12
C. 1/8 D. 1/6
7. The ratio of the number of boys and girls
who participated in an examination is
4 : 3. The total percentage of candidates
who passed the examination is 80 and
the percentage of girls who passed is 90.
The percentage of boys who passed is
__________
A. 80.50 B. 55.50
C. 72.50 D. 90.00
8. An award-winning study by a group of
researchers suggests that men are as
prone to buying on impulse as women feel
more guilty about shopping.
Which one of the following statements can
be inferred from the given text?
A. Some men and women indulge in
buying on impulse
B. Few men and women indulge in buying
on impulse
C. Many men and women indulge in
buying on impulse
D. All men and women indulge in buying
on impulse
9. How many integers are there between 100
and 1000 all of whose digits are even?
A. 100 B. 60
C. 90 D. 80
10. Consider five people ? Mita, Ganga, Rekha,
Lakshmi and Sana. Ganga is taller than
both Rekha and Lakshmi. Lakshmi is taller
than Sana. Mita is taller than Ganga.
Which of the following conclusions are
true?
1. Lakshmi is taller than Rekha
2. Rekha is shorter than Mita
3. Rekha is taller than Sana
4. Sana is shorter than Ganga
A. 1 and 3 B. 1 only
C. 2 and 4 D. 3 only
SECTION : EE ELECTRICAL ENGINEERING
1. The mean-square of a zero-mean random
process is ,
kT
C
where k is Boltzmann?s
constant, T is the absolute temperature,
and C is capacitance. The standard
deviation of the random process is
A.
kT
C
B.
kT
C
C.
kT
C
D.
c
kT
2. The characteristic equation of a linear time-
invariant (LTI) system is given by
?(s) = s
4
+ 3s
3
+ 3s
2
+ s + k = 0.
The system is BIBO stable if
A.
12
0
9
?? k B.
8
0
9
?? k
C. k > 6 D. k > 3
3. The inverse Laplace transform of
( )
2
3
21
+
=
++
s
Hs
ss
for ? 0 is
A. 2te
-t
+ e
-t
B. 3te
-t
+ e
-t
C. 3 e
-t
D. 4 te
-t
+ e
-t
3
4. A 5 kVA, 50 V/100 V, single-phase
transformer has a secondary terminal
voltage of 95 V when loaded. The
regulation of the transformer is
A. 9% B. 4.5%
C. 1% D. 5%
5. A three-phase synchronous motor draws
200 A from the line at unity power factor at
rated load. Considering the same line
voltage and load, the line current at power
factor of 0.5 leading is
A. 400 A B. 300 A
C. 200 A D. 100 A
6. A cv-axial cylindrical capacitor shown in
Figure (i) has dielectric with relative
permittivity ?r1 = 2. When one-fourth
portion of the dielectric is replaced with
another dielectric of relative permittivity
?r2, as shown to Figure (ii), the capacitance
is doubled. The value of ?r2 is _________.
7. The parameter of an equivalent circuit of a
three-phase induction motor affected by
reducing the rms value of the supply
voltage at the rated frequency is
A. rotor leakage reactance
B. stator resistance
C. rotor resistance
D. magnetizing reactance
8. The output response of a system is
denoted as y(t), and its Laplace transform
is given by
( )
( )
2
10
.
100 2
=
++
Ys
s s s
The steady state value of y(t) is
A. 10 2 B. 100 2
C.
1
10 2
D.
1
100 2
9. The open loop transfer function of a unity
feedback system is given by
( )
0.25
.
?
?
=
s
e
Gs
s
In G(s) plane, the Nyquist plot of G(s)
passes through the negative real axis at
the point
A. (-0.5, j0) B. (-1.5, j0)
C. (-1.25, j0) D. (-0.75, j0)
10. A current controlled current source (CCCS)
has an input impedance of 10 ? and output
impedance of 100 k?. When this CCCS is
used in a negative feedback closed loop
with a loop gain of 9, the closed loop
output impedance is
A. 100 k? B. 1000 k?
C. 100 ? D. 10 ?
11. A six-pulse thyristor bridge rectifier is
connected to a balanced three-phase, 50
Hz AC source. Assuming that the DC
output current of the rectifier is constant,
the lowest harmonic component in the AC
input current is
A. 100 Hz B. 150 Hz
C. 300 Hz D. 250 Hz
12. The current I flowing in the circuit shown
below in amperes (round off to one decimal
place) is ___________.
13. The partial differential equation
2 2 2
2
2 2 2
0;
?? ? ? ?
? + =
??
? ? ?
??
u u u
c
t x y
where c ? 0
is known as
A. Poisson?s equation
B. wave equation
C. Laplace equation
D. heat equation
14. Which one of the following function is
analytic in the region |z| ? 1?
A.
2
1
2
?
+
z
z
B.
2
1 ? z
z
C.
2
1
0.5
?
?
z
z
D.
2
1
0.5
?
?
z
zj
4
15. If f = 2x
3
+ 3y
2
+ 4z, the value of line
integral
? C
grade f . dr evaluated over
contour C formed by the segments (-3, -3,
2) ? (2, -3, 2) ? (2, 6, 2) ? (1, 6, -1) is
___________.
16. Five alternators each rated 5 MVA, 13.2 kV
with 25% of reactance on its own base are
connected in parallel to a busbar. The
short-circuit level in MVA at the busbar is
___________.
17. Given Vgs is the gate-source voltage, Vds is
the drain voltage, and Vth is threshold
voltage of an enhancement type NMOS
transistor, the conditions for transistor to
be biased in saturation are
A. Vgs > Vth ; Vds ? Vgs ? Vth
B. Vgs < Vth ; Vds ? Vgs ? Vth
C. Vgs > Vth ; Vds ? Vgs ? Vth
D. Vgs < Vth ; Vds ? Vgs - Vth
18. The total impedance of the secondary
winding, leads, and burden of a 5 A CT is
0.01 ?. If the fault current is 20 times the
rated primary current of the CT, the VA
output of the CT is ___________.
19. The Ybus matrix of a two-bus power system
having two identical parallel lines
connected between them in pu is given as
8 20
.
20 8
???
=
??
?
??
bus
jj
Y
jj
The magnitude of the series reactance of
each line in pu (round off up to one
decimal place) is ___________.
20. The rank of the matrix,
0 1 1
1 0 1 ,
1 1 0
??
??
=
??
??
??
M is
__________.
21. The symbols, a and T, represent positive
quantities, and u(t) is the unit step
function. Which one of the following
impulse responses is NOT the output of a
causal linear time-invariant system?
A. e
-a(t ? T)
u(t) B. e
+at
u(t)
C. 1 + e
-at
u(t) D. e
-a(t + T)
u(t)
22. A system transfer function is
( )
2
1 1 1
2
2 2 2
.
++
=
++
as bs c
Hs
as bs c
If a1 = b1 = 0, and
all other coefficients are positive, the
transfer function represents a
A. high pass filter
B. band pass filter
C. notch filter
D. low pass filter
23. The output voltage of a single-phase full
bridge voltage source inverter is controlled
by unipolar PWM with one pulse per half
cycle. For the fundamental rms component
of output voltage to be 75% of DC voltage,
the required pulse width in degrees (round
off up to one decimal place) is ________.
24. In the circuit shown below, the switch is
closed at t = 0. The value of ? in degrees
which will give the maximum value of DC
offset of the current at the time of
switching is
A. 60 B. 90
C. -30 D. -45
25. M is a 2 ? 2 matrix with eigenvalues 4 and
9. The eigenvalues of M
2
are
A. 2 and 3 B. -2 and 3
C. 16 and 81 D. 4 and 9
26. A three-phase 50 Hz, 400 kV transmission
line is 300 km long. The line inductance is
1 mH/km per phase, and the capacitance is
0.01 ?F/km per phase. The line is under
open circuit condition at the receiving end
and energized with 400 kV at the sending
end, the receiving end and energized with
400 kV at the sending end, the receiving
end line voltage end line voltage in kV
(round off to two decimal places) will be
_____________.
27. The current I flowing in the circuit shown
below in amperes is ______________.
5
28. A 220 V (line), three-phase, Y-connected,
synchronous motor has a synchronous
impedance of (0.25 + j2.5) ?/phase. The
motor draws the rated current of 10 A at
0.8 pf leading. The rms value of line-to-line
internal voltage in volts (round off to two
decimal places) is ____________.
29. The closed loop line integral
32
| | 5
8
2
=
++
+
?
z
zz
dz
z
evaluated counter-clockwise, is
A. +4j ? B. -4j ?
C. + 8j ? D. -8j ?
30. The voltage across and the current through
a load are expressed as follows
( ) 170 sin 377 V
6
? ??
= ? ?
??
??
v t t
( ) 8cos 377 A
6
? ??
=+
??
??
i t t
The average power in watts (round off to
one decimal place) consumed by the load
is _____________.
31. A delta-connected, 3.7 kW, 400 V(line),
three-phase, 4-pole, 50-Hz squirrel-cage
induction motor has the following
equivalent circuit parameters per phase
referred to the stator: R1 = 5.39 ?,
R2 = 5.72 ?, X1 = X2 = 8.22 ?. Neglect
shunt branch in the equivalent circuit. The
starting line current in amperes (round off
to two decimal places) when it is connected
to a 100 V (line), 10 Hz, three-phase AC
source is __________.
32. In a 132 kV system, the series inductance
up to the point of circuit breaker location is
50 mH. The shunt capacitance at the circuit
breaker terminal is 0.05 ?F. The critical
value of resistance in ohms required to be
connected across the circuit breaker
contacts which will give no transient
oscillation is _____________.
33. In the single machine infinite bus system
shown below, the generator is delivering
the real power of 0.8 pu at 0.8 power
factor lagging to the infinite bus. The
power angle of the generator in degrees
(round off to one decimal place) is
____________.
34. In the circuit below, the operational
amplifier is ideal. If V1 = 10 mV and
V2 = 50 mV, the output voltage (Vout) is
A. 600 mV B. 500 mV
C. 400 mV D. 100 mV
35. In the circuit shown below, X and Y are
digital inputs, and Z is a digital output. The
equivalent circuit is a
A. XOR gate B. NAND gate
C. XNOR gate D. NOR gate
36. A 0.1 ?F capacitor charged to 100 V is
discharged through a 1 k? resistor. The
time in ms (round off to two decimal
places) required for the voltage across the
capacitor to drop to 1 V is _________.
37. A periodic function f(t), with a period of 2?,
is represented as its Fourier series,
( )
0
11
cos sin .
nn
nn
f t a a nt b nt
??
==
= + +
??
If
( )
sin , 0
.
02
A t t
ft
t
?
??
?? ?
=
?
??
?
the Fourier series coefficients a1 and b1 of
f(t) are
A. a1 = 0; b1 = A/ ? B.
11
0;
2
A
ab ==
C.
11
;0
A
ab
?
== D.
11
;0
2
A
ab ==
6
38. If A = 2xi + 3yj + 4zk and u = x
2
+ y
2
+
z
2
, then div (uA) at (1, 1, 1) is ________.
39. A moving coil instrument having a
resistance of 10 ?, gives a full-scale
deflection when the current is 10 mA. What
should be the value of the series
resistance, so that it can be used as a
voltmeter for measuring potential
difference up to 100 V?
A. 9990 ? B. 990 ?
C. 99 ? D. 9 ?
40. Consider a state-variable model of a
system
11
22
1
2
0 1 0
2
10
xx
r
xx
x
y
x
? ? ?
? ? ? ? ? ? ? ?
=+
? ? ? ? ? ? ? ?
??
? ? ? ? ? ? ? ?
??
=??
??
??
??
where y is the output, and r is the input.
The damping ratio ? and the undamped
natural frequency ?n (rad/sec) of the
system are given by
A. ;
n
? ? ? ? ==
B. ;
n
?
? ? ?
?
==
C. ;
n
?
? ? ?
?
==
D. ;
n
?
? ? ?
?
==
41. The enhancement type MOSFET in the
circuit below operates according to the
square law. ?nCox = 100 ?A/V
2
, the
threshold voltage (VT) is 500 mV. Ignore
channel length modulation. The output
voltage Vout is
A. 600 mV B. 500 mV
C. 2 V D. 100 mV
42. The asymptotic Bode magnitude plot of a
minimum phase transfer function G(s) is
shown below.
Consider the following two statements.
Statement I : Transfer function G(s) has
three poles and one zero.
Statement II : At very high frequency (? ?
?), the phase angle ( )
3
.
2
Gj
?
? ? = ?
Which one of the following options is
correct?
A. Both the statements are true.
B. Both the statements are false.
C. Statement I is false and statement II is
true.
D. Statement I is true and statement II is
false.
43. A single-phase transformer of rating 25
kVA, supplies a 12 kW load at power factor
of 0.6 lagging. The additional load at unity
power factor in kW (round off to two
decimal places) that may be added before
this transformer exceeds its rated kVA is
_____________.
44. Consider a 2 ? 2 matrix M = [v1 v2],
where. v1 and v2 are the column vectors.
suppose
1 1
2
,
T
T
u
M
u
?
??
=??
??
??
where
1
T
u and
2
T
u are
the row vectors. Consider the following
statements :
Statement 1 :
11
1
T
uv = and
22
1
T
uv =
Statement 2 :
11
0
T
uv = and
21
0
T
uv =
Which of the following options is correct?
A. Both the statements are false
B. Statement 2 is true and statement 1 is
false
7
C. Statement 1 is true and statement 2 is
false
D. Both the statements are true
45. A single-phase fully-controlled thyristor
converter is used to obtain an average
voltage of 180 V with 10 A constant
current to feed a DC load. It is fed from
single-phase AC supply of 230 V, 50 Hz.
Neglect the source impedance. The power
factor (round off to two decimal places) of
AC mains is ___________.
46. A DC-DC buck converter operates in
continuous conduction mode. It has 48 V
input voltage, and it feeds a resistive load
of 24 ?. The switching frequency of the
converter is 250 Hz. If switch-on duration
is 1 ms, the load power is
A. 12 W B. 6 W
C. 24 W D. 48 W
47. In a DC-DC boost converter, the duty ratio
is controlled to regulate the output voltage
at 48 V. The input DC voltage is 24 V. The
output power is 120 W. The switching
frequency is 50 kHz. Assume ideal
components and a very large output filter
capacitor. The converter operates at the
boundary between continuous and
discontinuous conduction modes. The value
of the boost inductor (in ?H) is ________.
48. A 220 V DC shunt motor takes 3 A at no-
load. It draws 25 A when running at full-
load at 1500 rpm. The armature and shunt
resistances are 0.5 ? and 220 ?,
respectively. The no-load speed in rpm
(round off to two decimal places) is
________.
49. A fully-controlled three-phase bridge
converter is working from a 415 V, 50 Hz
AC supply. It is supplying constant current
of 100 A at 400 V to a DC load. Assume
large inductive smoothing and neglect
overlap. The rms value of the AC line
current in amperes (round off to two
decimal places) is ________.
50. The output expression for the Karnuaugh
map shown below is
A. QR + S B. + QR S
C. + QR S D. + QR S
51. The probability of a resistor being defective
is 0.02. There are 50 such resistors in a
circuit. The probability of two or more
defective resistors in the circuit (round off
to two decimal places) is __________.
52. The magnetic circuit shown below has
uniform cross-sectional area and air gap of
0.2 cm. The mean path length of the core
is 40 cm. Assume that leakage and fringing
fluxes are negligible. When the core
relative permeability is assumed to be
infinite, the magnetic flux density
computed in the air gap is 1 tesla. With
same Ampere-turns, if the core relative
permeability is assumed to be 1000
(linear), the flux density in tesla (round off
to three decimal places) calculated in the
air gap is _________________.
53. A 30 kV, 50 Hz, 50 MVA generator has the
positive, negative, and zero sequence
reactances of 0.25 pu, 0.15 pu, and 0.05
pu, respectively. The neutral of the
generator is grounded with a reactance so
that the fault current for a bolted LG fault
8
and that of a bolted three-phase fault at
the generator terminal are equal. The
value of grounding reactance in ohms
(round off to one decimal place) is
___________.
54. The line currents of a three-phase four wire
system are square waves with amplitude of
100 A. These three currents are phase
shifted by 120
o
with respect to each other.
The rms value of neutral current is
A. 0 A B. 300 A
C. 100 A D.
100
A
3
55. The transfer function of a phase lead
compensator is given by
( )
1
3
3
.
1
??
+
??
??
=
??
+
??
??
s
T
Ds
s
T
The frequency (in rad/sec), at which
?D(j?) is maximum, is
A. 3T B.
2
3T
C.
2
1
3T
D.
2
1
T
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This post was last modified on 18 December 2019