DUET 2021 Question Paper MA M.Sc Mathematics

DU MA MSc Mathematics
Topic:‐ MATHS MA

1)

[Question ID = 9578]
1. Both A and R are true and R is the correct explanation of A

[Option ID = 38309]
2. Both A and R are true but R is NOT the correct explanation of A

[Option ID = 38310]
3. A is true but R is false

[Option ID = 38311]
4. A is false but R is true

[Option ID = 38312]

2)

[Question ID = 9579]
1. B, C, and D only

[Option ID = 38313]
2. A, C and D only

[Option ID = 38314]
3. D and E only

[Option ID = 38315]
4. C, D and E only

[Option ID = 38316]

3)

[Question ID = 9580]

[Option ID = 38317]

[Option ID = 38318]

[Option ID = 38319]

[Option ID = 38320]

4)

[Question ID = 9581]
1. Both A and R are true and R is the correct explanation of A

[Option ID = 38321]
2. Both A and R are true but R is NOT the correct explanation of A

[Option ID = 38322]
3. A is true but R is false

[Option ID = 38323]
4. A is false but R is true

[Option ID = 38324]

5)

[Question ID = 9582]

[Option ID = 38325]

[Option ID = 38326]

[Option ID = 38327]

[Option ID = 38328]

6)

[Question ID = 9583]

[Option ID = 38329]

[Option ID = 38330]

[Option ID = 38331]

[Option ID = 38332]

7)

[Question ID = 9584]
1. A and C only

[Option ID = 38333]
2. A and B only

[Option ID = 38334]
3. A, C and D only

[Option ID = 38335]
4. B and D only

[Option ID = 38336]

8)

[Question ID = 9585]
1. Both A and R are true and R is the correct explanation of A

[Option ID = 38337]
2. Both A and R are true but R is NOT the correct explanation of A

[Option ID = 38338]
3. A is true but R is false

[Option ID = 38339]
4. A is false but R is true

[Option ID = 38340]

9) The sequence is

[Question ID = 9586]
1.

[Option ID = 38341]
2.

[Option ID = 38342]
3.

[Option ID = 38343]
4.

[Option ID = 38344]

10)

[Question ID = 9587]

[Option ID = 38345]

[Option ID = 38346]

[Option ID = 38347]

[Option ID = 38348]

11)

[Question ID = 9588]
1.

[Option ID = 38349]
2.

[Option ID = 38350]
3.

[Option ID = 38351]
4. The set is a non‐empty finite set

[Option ID = 38352]

12)

[Question ID = 9589]

[Option ID = 38353]

[Option ID = 38354]

[Option ID = 38355]

[Option ID = 38356]

13)

[Question ID = 9590]
1.

[Option ID = 38357]
2.

[Option ID = 38358]
3.

[Option ID = 38359]
4.

[Option ID = 38360]

14)

[Question ID = 9591]
1.

[Option ID = 38361]
2.

[Option ID = 38362]

3. no critical point [Option ID = 38363]
4.

[Option ID = 38364]

15)
The

[Question ID = 9592]
1. exists and is equal to

[Option ID = 38365]
2. exists and is equal to

[Option ID = 38366]
3. does not exist

[Option ID = 38367]
4. exists and is equal to

[Option ID = 38368]

16)

[Question ID = 9593]
1.

[Option ID = 38369]

2.

[Option ID = 38370]
3.

[Option ID = 38371]
4.

[Option ID = 38372]

17)

[Question ID = 9594]
1.

[Option ID = 38373]
2.

[Option ID = 38374]
3.

[Option ID = 38375]
4.

[Option ID = 38376]

18)

[Question ID = 9595]
1. Riemann integrable and

[Option ID = 38377]
2. Riemann integrable and

[Option ID = 38378]
3. not Riemann integrable

[Option ID = 38379]
4. Riemann integrable and

[Option ID = 38380]

19) Which of the following is not a metric on ?

[Question ID = 9596]
1.

.

[Option ID = 38381]
2.

.

[Option ID = 38382]
3.

.

[Option ID = 38383]

4.

.

[Option ID = 38384]

20)

[Question ID = 9597]
1. Both Statement I and Statement II are correct

[Option ID = 38385]
2. Both Statement I and Statement II are incorrect

[Option ID = 38386]
3. Statement I is correct but Statement II is incorrect

[Option ID = 38387]
4. Statement I is incorrect but Statement II is correct

[Option ID = 38388]

21)

[Question ID = 9598]
1. Both A and R are true and R is the correct explanation of A

[Option ID = 38389]
2. Both A and R are true but R is NOT the correct explanation of A

[Option ID = 38390]
3. A is true but R is false

[Option ID = 38391]
4. A is false but R is true

[Option ID = 38392]

22)

[Question ID = 9599]
1.

[Option ID = 38393]
2.

[Option ID = 38394]
3.

[Option ID = 38395]
4.

[Option ID = 38396]

23)

[Question ID = 9600]
1. Both A and R are true and R is the correct explanation of A

[Option ID = 38397]
2. Both A and R are true but R is NOT the correct explanation of A

[Option ID = 38398]
3. A is true but R is false

[Option ID = 38399]
4. A is false but R is true

[Option ID = 38400]

24) The positive integer that leaves remainder 2,3,2 when divided by 3,5,7 respectively is

[Question ID = 9601]
1.

[Option ID = 38401]
2.

[Option ID = 38402]
3.

[Option ID = 38403]
4.

[Option ID = 38404]

25)

[Question ID = 9602]
1.

[Option ID = 38405]
2.

[Option ID = 38406]
3.

[Option ID = 38407]
4.

[Option ID = 38408]

26)

[Question ID = 9603]
1. Both A and R are true and R is the correct explanation of A

[Option ID = 38409]
2. Both A and R are true but R is NOT the correct explanation of A

[Option ID = 38410]
3. A is true but R is false

[Option ID = 38411]
4. A is false but R is true

[Option ID = 38412]

27)

[Question ID = 9604]

[Option ID = 38413]

[Option ID = 38414]

[Option ID = 38415]

[Option ID = 38416]

28)

[Question ID = 9605]
1. Both A and R are true and R is the correct explanation of A

[Option ID = 38417]
2. Both A and R are true but R is NOT the correct explanation of A

[Option ID = 38418]
3. A is true but R is false

[Option ID = 38419]
4. A is false but R is true

[Option ID = 38420]

29)

[Question ID = 9606]
1. greater than n

[Option ID = 38421]
2. less than n

[Option ID = 38422]
3. equal to n

[Option ID = 38423]
4. infinite

[Option ID = 38424]

30) Consider the following statements.

A. The additive order of all nonzero elements in a ring is the same.

B. The additive order of all nonzero elements in an integral domain is the same.

C. The additive order of all nonzero elements in a field is the same.

Choose the correct answer from the options given below.

[Question ID = 9607]
1. A and B only

[Option ID = 38425]
2. B and C only

[Option ID = 38426]
3. C and A only

[Option ID = 38427]
4. A, B and C

[Option ID = 38428]

31)

[Question ID = 9608]
1.

[Option ID = 38429]
2.

[Option ID = 38430]
3.

[Option ID = 38431]
4.

[Option ID = 38432]

32)

[Question ID = 9609]
1. four maximal ideals

[Option ID = 38433]
2. three maximal ideals

[Option ID = 38434]
3. two maximal ideals

[Option ID = 38435]
4. one maximal ideal

[Option ID = 38436]

33)

[Question ID = 9610]
1. A, B and D only

[Option ID = 38437]
2. A and D only

[Option ID = 38438]
3. A, C and D only

[Option ID = 38439]
4. B and C only

[Option ID = 38440]

34)

[Question ID = 9611]
1. (8,10,12) [Option ID = 38441]
2. (9,7,5) [Option ID = 38442]
3. (8,6,2) [Option ID = 38443]
4. (8,6,4) [Option ID = 38444]

35)

[Question ID = 9612]

[Option ID = 38445]

[Option ID = 38446]

[Option ID = 38447]

[Option ID = 38448]

36)

is given by[Question ID = 9613]
1.

[Option ID = 38449]
2.

[Option ID = 38450]
3.

[Option ID = 38451]
4.

[Option ID = 38452]

37)

[Question ID = 9614]
1. Both A and R are true and R is the correct explanation of A

[Option ID = 38453]
2. Both A and R are true but R is NOT the correct explanation of A

[Option ID = 38454]
3. A is true but R is false

[Option ID = 38455]
4. A is false but R is true

[Option ID = 38456]

38) Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A : Method of separation of variables reduces a linear boundary value problem into an eigen value problem.

Reason R : Linear boundary value problem admits the superposition principle.

In light of the above statements, choose the correct answer from the options given below.

[Question ID = 9615]
1. Both A and R are true and R is the correct explanation of A

[Option ID = 38457]
2. Both A and R are true but R is NOT the correct explanation of A

[Option ID = 38458]
3. A is true but R is false

[Option ID = 38459]
4. A is false but R is true

[Option ID = 38460]

39)

[Question ID = 9616]
1. C only

[Option ID = 38461]
2. D only

[Option ID = 38462]
3. A and D only

[Option ID = 38463]
4. A and B only

[Option ID = 38464]

40)

are, respectively,[Question ID = 9617]
1.

[Option ID = 38465]
2.

[Option ID = 38466]
3.

[Option ID = 38467]
4.

[Option ID = 38468]

41)

[Question ID = 9618]
1.

[Option ID = 38469]
2.

[Option ID = 38470]
3.

[Option ID = 38471]
4.

[Option ID = 38472]

42)

[Question ID = 9619]
1.

[Option ID = 38473]
2.

[Option ID = 38474]
3.

[Option ID = 38475]
4.

[Option ID = 38476]

43) The solution of the differential equation

using the method of variation of parameters, is given by

[Question ID = 9620]
1.

[Option ID = 38477]
2.

[Option ID = 38478]
3.

[Option ID = 38479]
4.

[Option ID = 38480]

44)

[Question ID = 9621]
1.

[Option ID = 38481]
2.

[Option ID = 38482]
3.

[Option ID = 38483]
4.

[Option ID = 38484]

45) The order of convergence of fixed point iteration method is[Question ID = 9622]
1. 1 [Option ID = 38485]
2. 2 [Option ID = 38486]
3. 3 [Option ID = 38487]
4. 4 [Option ID = 38488]

46) The Newton‐Raphson formula for finding the cube root of is

[Question ID = 9623]

1.

[Option ID = 38489]

2.

[Option ID = 38490]

3.

[Option ID = 38491]

4.

[Option ID = 38492]

47)

[Question ID = 9624]
1. 2.8909

[Option ID = 38493]
2. 2.6492

[Option ID = 38494]
3. 2.2050

[Option ID = 38495]
4. 2.4210

[Option ID = 38496]

48)

[Question ID = 9625]

[Option ID = 38497]

[Option ID = 38498]

[Option ID = 38499]

[Option ID = 38500]

49)

[Question ID = 9626]
1. A and B only

[Option ID = 38501]
2. B and C only

[Option ID = 38502]
3. C and D only

[Option ID = 38503]
4. A and D only

[Option ID = 38504]

50) The unique solution of the initial value problem

using the existence and uniqueness theorem, exists on the interval

[Question ID = 9627]
1.

[Option ID = 38505]
2.

[Option ID = 38506]
3.

[Option ID = 38507]
4.

[Option ID = 38508]