Download DUET Master 2018 DU MSc Mathematics Education Question Paper With Answer Key

DU MSc Mathematics Education

Topic:- DU_J18_MSC_ME_TOPIC1

1. Claim: lim (1+1/x) = 1

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   x→∞

   Proof:

   Step I: Let f(x) = x² and g(x)=1+1/x. We need to compute the limit of the

   composition lim f(g(x)) and show it is equal to 1.

   x→∞

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   Step II: As x gets large, g (x) tends to 1.

   Step III: Since f (x) is continuous at 1 and f(1) = 1, f(g(x)) tends to 1 as x

   gets large. Hence proved.

   [Question ID = 41479]

   1. The proof is incorrect, and the mistake is in Step III. [Option ID = 75911]

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   2. The proof is incorrect, and the mistake is in Step I. [Option ID = 75909]
   3. The proof is incorrect, and the mistake is in Step II. [Option ID = 75910]
   4. The proof is correct, and the limit is equal to 1. [Option ID = 75908]

   Correct Answer :-

   The proof is incorrect, and the mistake is in Step I. [Option ID = 75909]

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2. The vision of National Academic Depository (NAD) is

   [Question ID = 53374]

   1. an online application portal. [Option ID = 93484]
   2. an initiative to provide an online store house of academic awards. [Option ID = 93485]

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   3. an initiative to provide an online store house of teaching learning resource material. [Option ID = 93483]
   4. an initiative to provide a store house of academic awards [Option ID = 93482]

   Correct Answer :-

   an initiative to provide an online store house of academic awards. [Option ID = 93485]

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3. If A=F=...=Z, B=G=...=V, E=T=...=Y and so on, then which of the following

   set can replace "AEIOU"

   [Question ID = 41475]

   1. PTSTP [Option ID = 75894]
   2. FODYB [Option ID = 75893]

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   3. MJDJA [Option ID = 75892]
   4. XVWUY [Option ID = 75895]

   Correct Answer :-

   PTSTP [Option ID = 75894]

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4. Four of the following five are alike in a certain way and so form a group.

   1. Thumb
   2. Nose
   3. Tongue
   4. Ear

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   5. Eye

   Which one does not belong to that group?

   [Question ID = 41476]

   1. Thumb [Option ID = 75898]
   2. Tongue [Option ID = 75899]

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   3. Ear [Option ID = 75896]
   4. Nose [Option ID = 75897]

   Correct Answer :-

   Thumb [Option ID = 75898]

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5. If log₂(a+b)+log₂(c + d) ≥4, then the minimum value of the

   expression a+b+c+d is

   [Question ID = 41422]

   1. 6 [Option ID = 75682]
   2. 4 [Option ID = 75681]

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   3. 2 [Option ID = 75680]
   4. 8 [Option ID = 75683]

   Correct Answer :-

   8 [Option ID = 75683]

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6. If the fundamental period of function f(x) = sinx + cos(√(4 – a²)) x is 4π,

   then the possible values of 'a' are

   [Question ID = 41430]

   1. √14/2, √7/2 [Option ID = 75713]
   2. √15/3, 2 [Option ID = 75714]

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   3. √15/2, √7/2 [Option ID = 75712]
   4. √7/2, 1/2 [Option ID = 75715]

   Correct Answer :-

   √15/2, √7/2 [Option ID = 75712]

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7. The following is the graph of a function f (x). The

   vertical dotted lines are plotted at x = a₁ and x = a₂. The horizontal dotted line is

   plotted at y = b

   This download link is referred from the post: DUET Last 10 Years 2011-2021 Question Papers With Answer Key || Delhi University Entrance Test conducted by the NTA

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