DUET 2019 MPhil PhD in Mathematics Previous Queston Papers

Delhi University Entrance Test (DUET) 2019 MPhil PhD in Mathematics Previous Queston Papers

1)
2)
3)
4)
DU MPhil Phd in Mathemacs
Topic:- DU_J19_MPHIL_MATHS
Which of the following journals is published by Indian Mathematical Society
[Question ID = 13918]
1. Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
2. Indian Journal of Mathematics. [Option ID = 25671]
3. Ramanujan Journal of Mathematics. [Option ID = 25670]
4. The Mathematics Students . [Option ID = 25672]
Correct Answer :-
Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
Name a Fellow of Royal Society who expired in 2019 [Question ID = 13917]
1. M. S. Ragunathan. [Option ID = 25665]
2. Manjul Bhargava. [Option ID = 25666]
3. Michael Atiyah. [Option ID = 25667]
4. S. R. Srinivasa Varadhan. [Option ID = 25668]
Correct Answer :-
M. S. Ragunathan. [Option ID = 25665]
Which of the following statements is true? [Question ID = 13973]
1.
[Option ID = 25890]
2.
[Option ID = 25891]
3.
[Option ID = 25889]
4. [Option ID = 25892]
Correct Answer :-
[Option ID = 25889]
Which of the following statements is true for topological spaces? [Question ID = 13927]
1. Every second countable space is separable. [Option ID = 25706]

FirstRanker.com - FirstRanker's Choice
1)
2)
3)
4)
DU MPhil Phd in Mathemacs
Topic:- DU_J19_MPHIL_MATHS
Which of the following journals is published by Indian Mathematical Society
[Question ID = 13918]
1. Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
2. Indian Journal of Mathematics. [Option ID = 25671]
3. Ramanujan Journal of Mathematics. [Option ID = 25670]
4. The Mathematics Students . [Option ID = 25672]
Correct Answer :-
Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
Name a Fellow of Royal Society who expired in 2019 [Question ID = 13917]
1. M. S. Ragunathan. [Option ID = 25665]
2. Manjul Bhargava. [Option ID = 25666]
3. Michael Atiyah. [Option ID = 25667]
4. S. R. Srinivasa Varadhan. [Option ID = 25668]
Correct Answer :-
M. S. Ragunathan. [Option ID = 25665]
Which of the following statements is true? [Question ID = 13973]
1.
[Option ID = 25890]
2.
[Option ID = 25891]
3.
[Option ID = 25889]
4. [Option ID = 25892]
Correct Answer :-
[Option ID = 25889]
Which of the following statements is true for topological spaces? [Question ID = 13927]
1. Every second countable space is separable. [Option ID = 25706]
5)
6)
7)
2. Every separable space is second countable. [Option ID = 25705]
3. Every ?rst countable space is second countable. [Option ID = 25708]
4. Every ?rst countable space is separable. [Option ID = 25707]
Correct Answer :-
Every separable space is second countable. [Option ID = 25705]
Which of the following statements is not true? [Question ID = 13997]
1.
[Option ID = 25987]
2.
[Option ID = 25986]
3.
[Option ID = 25985]
4.
[Option ID = 25988]
Correct Answer :-
[Option ID = 25985]
Which one of the following fellowship is based on merit in M.A/M.Sc. of the University [Question ID
= 13920]
1. NBHM-JRF. [Option ID = 25679]
2. INSPIRE-JRF [Option ID = 25677]
3. UGC-JRF. [Option ID = 25680]
4. CSIR-JRF [Option ID = 25678]
Correct Answer :-
INSPIRE-JRF [Option ID = 25677]
The Abel prize 2019 was awarded to [Question ID = 13919]
1. Lennert Carleson. [Option ID = 25673]
2. Mikhail Gromov. [Option ID = 25676]
3. Karen Keskulla Uhlenbeck. [Option ID = 25674]
4. Peter Lax. [Option ID = 25675]
Correct Answer :-
Lennert Carleson. [Option ID = 25673]

FirstRanker.com - FirstRanker's Choice
1)
2)
3)
4)
DU MPhil Phd in Mathemacs
Topic:- DU_J19_MPHIL_MATHS
Which of the following journals is published by Indian Mathematical Society
[Question ID = 13918]
1. Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
2. Indian Journal of Mathematics. [Option ID = 25671]
3. Ramanujan Journal of Mathematics. [Option ID = 25670]
4. The Mathematics Students . [Option ID = 25672]
Correct Answer :-
Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
Name a Fellow of Royal Society who expired in 2019 [Question ID = 13917]
1. M. S. Ragunathan. [Option ID = 25665]
2. Manjul Bhargava. [Option ID = 25666]
3. Michael Atiyah. [Option ID = 25667]
4. S. R. Srinivasa Varadhan. [Option ID = 25668]
Correct Answer :-
M. S. Ragunathan. [Option ID = 25665]
Which of the following statements is true? [Question ID = 13973]
1.
[Option ID = 25890]
2.
[Option ID = 25891]
3.
[Option ID = 25889]
4. [Option ID = 25892]
Correct Answer :-
[Option ID = 25889]
Which of the following statements is true for topological spaces? [Question ID = 13927]
1. Every second countable space is separable. [Option ID = 25706]
5)
6)
7)
2. Every separable space is second countable. [Option ID = 25705]
3. Every ?rst countable space is second countable. [Option ID = 25708]
4. Every ?rst countable space is separable. [Option ID = 25707]
Correct Answer :-
Every separable space is second countable. [Option ID = 25705]
Which of the following statements is not true? [Question ID = 13997]
1.
[Option ID = 25987]
2.
[Option ID = 25986]
3.
[Option ID = 25985]
4.
[Option ID = 25988]
Correct Answer :-
[Option ID = 25985]
Which one of the following fellowship is based on merit in M.A/M.Sc. of the University [Question ID
= 13920]
1. NBHM-JRF. [Option ID = 25679]
2. INSPIRE-JRF [Option ID = 25677]
3. UGC-JRF. [Option ID = 25680]
4. CSIR-JRF [Option ID = 25678]
Correct Answer :-
INSPIRE-JRF [Option ID = 25677]
The Abel prize 2019 was awarded to [Question ID = 13919]
1. Lennert Carleson. [Option ID = 25673]
2. Mikhail Gromov. [Option ID = 25676]
3. Karen Keskulla Uhlenbeck. [Option ID = 25674]
4. Peter Lax. [Option ID = 25675]
Correct Answer :-
Lennert Carleson. [Option ID = 25673]
8)
9)
10)
[Question ID = 13981]
1. [Option ID = 25922]
2. [Option ID = 25921]
3. [Option ID = 25924]
4. [Option ID = 25923]
Correct Answer :-
[Option ID = 25921]
[Question ID = 13968]
1. [Option ID = 25869]
2. [Option ID = 25871]
3. [Option ID = 25870]
4. [Option ID = 25872]
Correct Answer :-
[Option ID = 25869]
[Question ID = 13988]
1. [Option ID = 25951]
2. [Option ID = 25949]
3. [Option ID = 25952]
4. [Option ID = 25950]
Correct Answer :-

FirstRanker.com - FirstRanker's Choice
1)
2)
3)
4)
DU MPhil Phd in Mathemacs
Topic:- DU_J19_MPHIL_MATHS
Which of the following journals is published by Indian Mathematical Society
[Question ID = 13918]
1. Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
2. Indian Journal of Mathematics. [Option ID = 25671]
3. Ramanujan Journal of Mathematics. [Option ID = 25670]
4. The Mathematics Students . [Option ID = 25672]
Correct Answer :-
Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
Name a Fellow of Royal Society who expired in 2019 [Question ID = 13917]
1. M. S. Ragunathan. [Option ID = 25665]
2. Manjul Bhargava. [Option ID = 25666]
3. Michael Atiyah. [Option ID = 25667]
4. S. R. Srinivasa Varadhan. [Option ID = 25668]
Correct Answer :-
M. S. Ragunathan. [Option ID = 25665]
Which of the following statements is true? [Question ID = 13973]
1.
[Option ID = 25890]
2.
[Option ID = 25891]
3.
[Option ID = 25889]
4. [Option ID = 25892]
Correct Answer :-
[Option ID = 25889]
Which of the following statements is true for topological spaces? [Question ID = 13927]
1. Every second countable space is separable. [Option ID = 25706]
5)
6)
7)
2. Every separable space is second countable. [Option ID = 25705]
3. Every ?rst countable space is second countable. [Option ID = 25708]
4. Every ?rst countable space is separable. [Option ID = 25707]
Correct Answer :-
Every separable space is second countable. [Option ID = 25705]
Which of the following statements is not true? [Question ID = 13997]
1.
[Option ID = 25987]
2.
[Option ID = 25986]
3.
[Option ID = 25985]
4.
[Option ID = 25988]
Correct Answer :-
[Option ID = 25985]
Which one of the following fellowship is based on merit in M.A/M.Sc. of the University [Question ID
= 13920]
1. NBHM-JRF. [Option ID = 25679]
2. INSPIRE-JRF [Option ID = 25677]
3. UGC-JRF. [Option ID = 25680]
4. CSIR-JRF [Option ID = 25678]
Correct Answer :-
INSPIRE-JRF [Option ID = 25677]
The Abel prize 2019 was awarded to [Question ID = 13919]
1. Lennert Carleson. [Option ID = 25673]
2. Mikhail Gromov. [Option ID = 25676]
3. Karen Keskulla Uhlenbeck. [Option ID = 25674]
4. Peter Lax. [Option ID = 25675]
Correct Answer :-
Lennert Carleson. [Option ID = 25673]
8)
9)
10)
[Question ID = 13981]
1. [Option ID = 25922]
2. [Option ID = 25921]
3. [Option ID = 25924]
4. [Option ID = 25923]
Correct Answer :-
[Option ID = 25921]
[Question ID = 13968]
1. [Option ID = 25869]
2. [Option ID = 25871]
3. [Option ID = 25870]
4. [Option ID = 25872]
Correct Answer :-
[Option ID = 25869]
[Question ID = 13988]
1. [Option ID = 25951]
2. [Option ID = 25949]
3. [Option ID = 25952]
4. [Option ID = 25950]
Correct Answer :-
11)
12)
13)
[Option ID = 25949]
[Question ID = 14009]
1. cosec(y/x) = c/x. [Option ID = 26036]
2. cosec(y/x) = cx. [Option ID = 26035]
3. sec(y/x) = cx. [Option ID = 26033]
4. sec(y/x) = c/x. [Option ID = 26034]
Correct Answer :-
sec(y/x) = cx. [Option ID = 26033]
[Question ID = 14008]
1. [Option ID = 26029]
2. [Option ID = 26032]
3. [Option ID = 26031]
4. [Option ID = 26030]
Correct Answer :-
[Option ID = 26029]
[Question ID = 13979]
1. [Option ID = 25916]
2. [Option ID = 25913]
3. [Option ID = 25915]
4. [Option ID = 25914]

FirstRanker.com - FirstRanker's Choice
1)
2)
3)
4)
DU MPhil Phd in Mathemacs
Topic:- DU_J19_MPHIL_MATHS
Which of the following journals is published by Indian Mathematical Society
[Question ID = 13918]
1. Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
2. Indian Journal of Mathematics. [Option ID = 25671]
3. Ramanujan Journal of Mathematics. [Option ID = 25670]
4. The Mathematics Students . [Option ID = 25672]
Correct Answer :-
Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
Name a Fellow of Royal Society who expired in 2019 [Question ID = 13917]
1. M. S. Ragunathan. [Option ID = 25665]
2. Manjul Bhargava. [Option ID = 25666]
3. Michael Atiyah. [Option ID = 25667]
4. S. R. Srinivasa Varadhan. [Option ID = 25668]
Correct Answer :-
M. S. Ragunathan. [Option ID = 25665]
Which of the following statements is true? [Question ID = 13973]
1.
[Option ID = 25890]
2.
[Option ID = 25891]
3.
[Option ID = 25889]
4. [Option ID = 25892]
Correct Answer :-
[Option ID = 25889]
Which of the following statements is true for topological spaces? [Question ID = 13927]
1. Every second countable space is separable. [Option ID = 25706]
5)
6)
7)
2. Every separable space is second countable. [Option ID = 25705]
3. Every ?rst countable space is second countable. [Option ID = 25708]
4. Every ?rst countable space is separable. [Option ID = 25707]
Correct Answer :-
Every separable space is second countable. [Option ID = 25705]
Which of the following statements is not true? [Question ID = 13997]
1.
[Option ID = 25987]
2.
[Option ID = 25986]
3.
[Option ID = 25985]
4.
[Option ID = 25988]
Correct Answer :-
[Option ID = 25985]
Which one of the following fellowship is based on merit in M.A/M.Sc. of the University [Question ID
= 13920]
1. NBHM-JRF. [Option ID = 25679]
2. INSPIRE-JRF [Option ID = 25677]
3. UGC-JRF. [Option ID = 25680]
4. CSIR-JRF [Option ID = 25678]
Correct Answer :-
INSPIRE-JRF [Option ID = 25677]
The Abel prize 2019 was awarded to [Question ID = 13919]
1. Lennert Carleson. [Option ID = 25673]
2. Mikhail Gromov. [Option ID = 25676]
3. Karen Keskulla Uhlenbeck. [Option ID = 25674]
4. Peter Lax. [Option ID = 25675]
Correct Answer :-
Lennert Carleson. [Option ID = 25673]
8)
9)
10)
[Question ID = 13981]
1. [Option ID = 25922]
2. [Option ID = 25921]
3. [Option ID = 25924]
4. [Option ID = 25923]
Correct Answer :-
[Option ID = 25921]
[Question ID = 13968]
1. [Option ID = 25869]
2. [Option ID = 25871]
3. [Option ID = 25870]
4. [Option ID = 25872]
Correct Answer :-
[Option ID = 25869]
[Question ID = 13988]
1. [Option ID = 25951]
2. [Option ID = 25949]
3. [Option ID = 25952]
4. [Option ID = 25950]
Correct Answer :-
11)
12)
13)
[Option ID = 25949]
[Question ID = 14009]
1. cosec(y/x) = c/x. [Option ID = 26036]
2. cosec(y/x) = cx. [Option ID = 26035]
3. sec(y/x) = cx. [Option ID = 26033]
4. sec(y/x) = c/x. [Option ID = 26034]
Correct Answer :-
sec(y/x) = cx. [Option ID = 26033]
[Question ID = 14008]
1. [Option ID = 26029]
2. [Option ID = 26032]
3. [Option ID = 26031]
4. [Option ID = 26030]
Correct Answer :-
[Option ID = 26029]
[Question ID = 13979]
1. [Option ID = 25916]
2. [Option ID = 25913]
3. [Option ID = 25915]
4. [Option ID = 25914]
14)
15)
16)
17)
Correct Answer :-
[Option ID = 25913]
[Question ID = 13995]
1. 2x + y + z = 0. [Option ID = 25979]
2. x + 2y + z = 0. [Option ID = 25978]
3. x + y + z = 0. [Option ID = 25980]
4. x + y + 2z = 0. [Option ID = 25977]
Correct Answer :-
x + y + 2z = 0. [Option ID = 25977]
[Question ID = 14007]
1. [Option ID = 26027]
2. [Option ID = 26028]
3. [Option ID = 26026]
4. [Option ID = 26025]
Correct Answer :-
[Option ID = 26025]
[Question ID = 13969]
1. 1/15 [Option ID = 25876]
2. 2 [Option ID = 25875]
3. 1/10 [Option ID = 25874]
4. 1/5 [Option ID = 25873]
Correct Answer :-
1/5 [Option ID = 25873]

FirstRanker.com - FirstRanker's Choice
1)
2)
3)
4)
DU MPhil Phd in Mathemacs
Topic:- DU_J19_MPHIL_MATHS
Which of the following journals is published by Indian Mathematical Society
[Question ID = 13918]
1. Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
2. Indian Journal of Mathematics. [Option ID = 25671]
3. Ramanujan Journal of Mathematics. [Option ID = 25670]
4. The Mathematics Students . [Option ID = 25672]
Correct Answer :-
Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
Name a Fellow of Royal Society who expired in 2019 [Question ID = 13917]
1. M. S. Ragunathan. [Option ID = 25665]
2. Manjul Bhargava. [Option ID = 25666]
3. Michael Atiyah. [Option ID = 25667]
4. S. R. Srinivasa Varadhan. [Option ID = 25668]
Correct Answer :-
M. S. Ragunathan. [Option ID = 25665]
Which of the following statements is true? [Question ID = 13973]
1.
[Option ID = 25890]
2.
[Option ID = 25891]
3.
[Option ID = 25889]
4. [Option ID = 25892]
Correct Answer :-
[Option ID = 25889]
Which of the following statements is true for topological spaces? [Question ID = 13927]
1. Every second countable space is separable. [Option ID = 25706]
5)
6)
7)
2. Every separable space is second countable. [Option ID = 25705]
3. Every ?rst countable space is second countable. [Option ID = 25708]
4. Every ?rst countable space is separable. [Option ID = 25707]
Correct Answer :-
Every separable space is second countable. [Option ID = 25705]
Which of the following statements is not true? [Question ID = 13997]
1.
[Option ID = 25987]
2.
[Option ID = 25986]
3.
[Option ID = 25985]
4.
[Option ID = 25988]
Correct Answer :-
[Option ID = 25985]
Which one of the following fellowship is based on merit in M.A/M.Sc. of the University [Question ID
= 13920]
1. NBHM-JRF. [Option ID = 25679]
2. INSPIRE-JRF [Option ID = 25677]
3. UGC-JRF. [Option ID = 25680]
4. CSIR-JRF [Option ID = 25678]
Correct Answer :-
INSPIRE-JRF [Option ID = 25677]
The Abel prize 2019 was awarded to [Question ID = 13919]
1. Lennert Carleson. [Option ID = 25673]
2. Mikhail Gromov. [Option ID = 25676]
3. Karen Keskulla Uhlenbeck. [Option ID = 25674]
4. Peter Lax. [Option ID = 25675]
Correct Answer :-
Lennert Carleson. [Option ID = 25673]
8)
9)
10)
[Question ID = 13981]
1. [Option ID = 25922]
2. [Option ID = 25921]
3. [Option ID = 25924]
4. [Option ID = 25923]
Correct Answer :-
[Option ID = 25921]
[Question ID = 13968]
1. [Option ID = 25869]
2. [Option ID = 25871]
3. [Option ID = 25870]
4. [Option ID = 25872]
Correct Answer :-
[Option ID = 25869]
[Question ID = 13988]
1. [Option ID = 25951]
2. [Option ID = 25949]
3. [Option ID = 25952]
4. [Option ID = 25950]
Correct Answer :-
11)
12)
13)
[Option ID = 25949]
[Question ID = 14009]
1. cosec(y/x) = c/x. [Option ID = 26036]
2. cosec(y/x) = cx. [Option ID = 26035]
3. sec(y/x) = cx. [Option ID = 26033]
4. sec(y/x) = c/x. [Option ID = 26034]
Correct Answer :-
sec(y/x) = cx. [Option ID = 26033]
[Question ID = 14008]
1. [Option ID = 26029]
2. [Option ID = 26032]
3. [Option ID = 26031]
4. [Option ID = 26030]
Correct Answer :-
[Option ID = 26029]
[Question ID = 13979]
1. [Option ID = 25916]
2. [Option ID = 25913]
3. [Option ID = 25915]
4. [Option ID = 25914]
14)
15)
16)
17)
Correct Answer :-
[Option ID = 25913]
[Question ID = 13995]
1. 2x + y + z = 0. [Option ID = 25979]
2. x + 2y + z = 0. [Option ID = 25978]
3. x + y + z = 0. [Option ID = 25980]
4. x + y + 2z = 0. [Option ID = 25977]
Correct Answer :-
x + y + 2z = 0. [Option ID = 25977]
[Question ID = 14007]
1. [Option ID = 26027]
2. [Option ID = 26028]
3. [Option ID = 26026]
4. [Option ID = 26025]
Correct Answer :-
[Option ID = 26025]
[Question ID = 13969]
1. 1/15 [Option ID = 25876]
2. 2 [Option ID = 25875]
3. 1/10 [Option ID = 25874]
4. 1/5 [Option ID = 25873]
Correct Answer :-
1/5 [Option ID = 25873]
18)
19)
[Question ID = 13994]
1. lines parallel to z-axis. [Option ID = 25975]
2. lines perpendicular to z-axis. [Option ID = 25976]
3. planes perpendicular to xz- plane. [Option ID = 25973]
4. planes parallel to yz- plane. [Option ID = 25974]
Correct Answer :-
planes perpendicular to xz- plane. [Option ID = 25973]
[Question ID = 14001]
1. Neither (I) nor (II) is correct. [Option ID = 26004]
2. Both (I) and (II) are correct. [Option ID = 26003]
3. Only (I) is correct. [Option ID = 26001]
4. Only (II) is correct. [Option ID = 26002]
Correct Answer :-
Only (I) is correct. [Option ID = 26001]
[Question ID = 13970]
1. [Option ID = 25877]
2. [Option ID = 25879]
3. [Option ID = 25878]
4. [Option ID = 25880]
Correct Answer :-

FirstRanker.com - FirstRanker's Choice
1)
2)
3)
4)
DU MPhil Phd in Mathemacs
Topic:- DU_J19_MPHIL_MATHS
Which of the following journals is published by Indian Mathematical Society
[Question ID = 13918]
1. Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
2. Indian Journal of Mathematics. [Option ID = 25671]
3. Ramanujan Journal of Mathematics. [Option ID = 25670]
4. The Mathematics Students . [Option ID = 25672]
Correct Answer :-
Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
Name a Fellow of Royal Society who expired in 2019 [Question ID = 13917]
1. M. S. Ragunathan. [Option ID = 25665]
2. Manjul Bhargava. [Option ID = 25666]
3. Michael Atiyah. [Option ID = 25667]
4. S. R. Srinivasa Varadhan. [Option ID = 25668]
Correct Answer :-
M. S. Ragunathan. [Option ID = 25665]
Which of the following statements is true? [Question ID = 13973]
1.
[Option ID = 25890]
2.
[Option ID = 25891]
3.
[Option ID = 25889]
4. [Option ID = 25892]
Correct Answer :-
[Option ID = 25889]
Which of the following statements is true for topological spaces? [Question ID = 13927]
1. Every second countable space is separable. [Option ID = 25706]
5)
6)
7)
2. Every separable space is second countable. [Option ID = 25705]
3. Every ?rst countable space is second countable. [Option ID = 25708]
4. Every ?rst countable space is separable. [Option ID = 25707]
Correct Answer :-
Every separable space is second countable. [Option ID = 25705]
Which of the following statements is not true? [Question ID = 13997]
1.
[Option ID = 25987]
2.
[Option ID = 25986]
3.
[Option ID = 25985]
4.
[Option ID = 25988]
Correct Answer :-
[Option ID = 25985]
Which one of the following fellowship is based on merit in M.A/M.Sc. of the University [Question ID
= 13920]
1. NBHM-JRF. [Option ID = 25679]
2. INSPIRE-JRF [Option ID = 25677]
3. UGC-JRF. [Option ID = 25680]
4. CSIR-JRF [Option ID = 25678]
Correct Answer :-
INSPIRE-JRF [Option ID = 25677]
The Abel prize 2019 was awarded to [Question ID = 13919]
1. Lennert Carleson. [Option ID = 25673]
2. Mikhail Gromov. [Option ID = 25676]
3. Karen Keskulla Uhlenbeck. [Option ID = 25674]
4. Peter Lax. [Option ID = 25675]
Correct Answer :-
Lennert Carleson. [Option ID = 25673]
8)
9)
10)
[Question ID = 13981]
1. [Option ID = 25922]
2. [Option ID = 25921]
3. [Option ID = 25924]
4. [Option ID = 25923]
Correct Answer :-
[Option ID = 25921]
[Question ID = 13968]
1. [Option ID = 25869]
2. [Option ID = 25871]
3. [Option ID = 25870]
4. [Option ID = 25872]
Correct Answer :-
[Option ID = 25869]
[Question ID = 13988]
1. [Option ID = 25951]
2. [Option ID = 25949]
3. [Option ID = 25952]
4. [Option ID = 25950]
Correct Answer :-
11)
12)
13)
[Option ID = 25949]
[Question ID = 14009]
1. cosec(y/x) = c/x. [Option ID = 26036]
2. cosec(y/x) = cx. [Option ID = 26035]
3. sec(y/x) = cx. [Option ID = 26033]
4. sec(y/x) = c/x. [Option ID = 26034]
Correct Answer :-
sec(y/x) = cx. [Option ID = 26033]
[Question ID = 14008]
1. [Option ID = 26029]
2. [Option ID = 26032]
3. [Option ID = 26031]
4. [Option ID = 26030]
Correct Answer :-
[Option ID = 26029]
[Question ID = 13979]
1. [Option ID = 25916]
2. [Option ID = 25913]
3. [Option ID = 25915]
4. [Option ID = 25914]
14)
15)
16)
17)
Correct Answer :-
[Option ID = 25913]
[Question ID = 13995]
1. 2x + y + z = 0. [Option ID = 25979]
2. x + 2y + z = 0. [Option ID = 25978]
3. x + y + z = 0. [Option ID = 25980]
4. x + y + 2z = 0. [Option ID = 25977]
Correct Answer :-
x + y + 2z = 0. [Option ID = 25977]
[Question ID = 14007]
1. [Option ID = 26027]
2. [Option ID = 26028]
3. [Option ID = 26026]
4. [Option ID = 26025]
Correct Answer :-
[Option ID = 26025]
[Question ID = 13969]
1. 1/15 [Option ID = 25876]
2. 2 [Option ID = 25875]
3. 1/10 [Option ID = 25874]
4. 1/5 [Option ID = 25873]
Correct Answer :-
1/5 [Option ID = 25873]
18)
19)
[Question ID = 13994]
1. lines parallel to z-axis. [Option ID = 25975]
2. lines perpendicular to z-axis. [Option ID = 25976]
3. planes perpendicular to xz- plane. [Option ID = 25973]
4. planes parallel to yz- plane. [Option ID = 25974]
Correct Answer :-
planes perpendicular to xz- plane. [Option ID = 25973]
[Question ID = 14001]
1. Neither (I) nor (II) is correct. [Option ID = 26004]
2. Both (I) and (II) are correct. [Option ID = 26003]
3. Only (I) is correct. [Option ID = 26001]
4. Only (II) is correct. [Option ID = 26002]
Correct Answer :-
Only (I) is correct. [Option ID = 26001]
[Question ID = 13970]
1. [Option ID = 25877]
2. [Option ID = 25879]
3. [Option ID = 25878]
4. [Option ID = 25880]
Correct Answer :-
20)
21)
22)
[Option ID = 25877]
[Question ID = 13984]
1. 2 ?. [Option ID = 25935]
2. 0 [Option ID = 25933]
3. ?/2. [Option ID = 25934]
4. ?. [Option ID = 25936]
Correct Answer :-
0 [Option ID = 25933]
[Question ID = 13974]
1. [Option ID = 25895]
2. [Option ID = 25893]
3. [Option
ID = 25896]
4. [Option ID =
25894]
Correct Answer :-
[Option ID = 25893]
[Question ID = 13975]
1. [Option ID = 25899]
2. [Option ID = 25897]
3. [Option ID = 25900]
4. [Option ID = 25898]
Correct Answer :-
[Option ID = 25897]

FirstRanker.com - FirstRanker's Choice
1)
2)
3)
4)
DU MPhil Phd in Mathemacs
Topic:- DU_J19_MPHIL_MATHS
Which of the following journals is published by Indian Mathematical Society
[Question ID = 13918]
1. Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
2. Indian Journal of Mathematics. [Option ID = 25671]
3. Ramanujan Journal of Mathematics. [Option ID = 25670]
4. The Mathematics Students . [Option ID = 25672]
Correct Answer :-
Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
Name a Fellow of Royal Society who expired in 2019 [Question ID = 13917]
1. M. S. Ragunathan. [Option ID = 25665]
2. Manjul Bhargava. [Option ID = 25666]
3. Michael Atiyah. [Option ID = 25667]
4. S. R. Srinivasa Varadhan. [Option ID = 25668]
Correct Answer :-
M. S. Ragunathan. [Option ID = 25665]
Which of the following statements is true? [Question ID = 13973]
1.
[Option ID = 25890]
2.
[Option ID = 25891]
3.
[Option ID = 25889]
4. [Option ID = 25892]
Correct Answer :-
[Option ID = 25889]
Which of the following statements is true for topological spaces? [Question ID = 13927]
1. Every second countable space is separable. [Option ID = 25706]
5)
6)
7)
2. Every separable space is second countable. [Option ID = 25705]
3. Every ?rst countable space is second countable. [Option ID = 25708]
4. Every ?rst countable space is separable. [Option ID = 25707]
Correct Answer :-
Every separable space is second countable. [Option ID = 25705]
Which of the following statements is not true? [Question ID = 13997]
1.
[Option ID = 25987]
2.
[Option ID = 25986]
3.
[Option ID = 25985]
4.
[Option ID = 25988]
Correct Answer :-
[Option ID = 25985]
Which one of the following fellowship is based on merit in M.A/M.Sc. of the University [Question ID
= 13920]
1. NBHM-JRF. [Option ID = 25679]
2. INSPIRE-JRF [Option ID = 25677]
3. UGC-JRF. [Option ID = 25680]
4. CSIR-JRF [Option ID = 25678]
Correct Answer :-
INSPIRE-JRF [Option ID = 25677]
The Abel prize 2019 was awarded to [Question ID = 13919]
1. Lennert Carleson. [Option ID = 25673]
2. Mikhail Gromov. [Option ID = 25676]
3. Karen Keskulla Uhlenbeck. [Option ID = 25674]
4. Peter Lax. [Option ID = 25675]
Correct Answer :-
Lennert Carleson. [Option ID = 25673]
8)
9)
10)
[Question ID = 13981]
1. [Option ID = 25922]
2. [Option ID = 25921]
3. [Option ID = 25924]
4. [Option ID = 25923]
Correct Answer :-
[Option ID = 25921]
[Question ID = 13968]
1. [Option ID = 25869]
2. [Option ID = 25871]
3. [Option ID = 25870]
4. [Option ID = 25872]
Correct Answer :-
[Option ID = 25869]
[Question ID = 13988]
1. [Option ID = 25951]
2. [Option ID = 25949]
3. [Option ID = 25952]
4. [Option ID = 25950]
Correct Answer :-
11)
12)
13)
[Option ID = 25949]
[Question ID = 14009]
1. cosec(y/x) = c/x. [Option ID = 26036]
2. cosec(y/x) = cx. [Option ID = 26035]
3. sec(y/x) = cx. [Option ID = 26033]
4. sec(y/x) = c/x. [Option ID = 26034]
Correct Answer :-
sec(y/x) = cx. [Option ID = 26033]
[Question ID = 14008]
1. [Option ID = 26029]
2. [Option ID = 26032]
3. [Option ID = 26031]
4. [Option ID = 26030]
Correct Answer :-
[Option ID = 26029]
[Question ID = 13979]
1. [Option ID = 25916]
2. [Option ID = 25913]
3. [Option ID = 25915]
4. [Option ID = 25914]
14)
15)
16)
17)
Correct Answer :-
[Option ID = 25913]
[Question ID = 13995]
1. 2x + y + z = 0. [Option ID = 25979]
2. x + 2y + z = 0. [Option ID = 25978]
3. x + y + z = 0. [Option ID = 25980]
4. x + y + 2z = 0. [Option ID = 25977]
Correct Answer :-
x + y + 2z = 0. [Option ID = 25977]
[Question ID = 14007]
1. [Option ID = 26027]
2. [Option ID = 26028]
3. [Option ID = 26026]
4. [Option ID = 26025]
Correct Answer :-
[Option ID = 26025]
[Question ID = 13969]
1. 1/15 [Option ID = 25876]
2. 2 [Option ID = 25875]
3. 1/10 [Option ID = 25874]
4. 1/5 [Option ID = 25873]
Correct Answer :-
1/5 [Option ID = 25873]
18)
19)
[Question ID = 13994]
1. lines parallel to z-axis. [Option ID = 25975]
2. lines perpendicular to z-axis. [Option ID = 25976]
3. planes perpendicular to xz- plane. [Option ID = 25973]
4. planes parallel to yz- plane. [Option ID = 25974]
Correct Answer :-
planes perpendicular to xz- plane. [Option ID = 25973]
[Question ID = 14001]
1. Neither (I) nor (II) is correct. [Option ID = 26004]
2. Both (I) and (II) are correct. [Option ID = 26003]
3. Only (I) is correct. [Option ID = 26001]
4. Only (II) is correct. [Option ID = 26002]
Correct Answer :-
Only (I) is correct. [Option ID = 26001]
[Question ID = 13970]
1. [Option ID = 25877]
2. [Option ID = 25879]
3. [Option ID = 25878]
4. [Option ID = 25880]
Correct Answer :-
20)
21)
22)
[Option ID = 25877]
[Question ID = 13984]
1. 2 ?. [Option ID = 25935]
2. 0 [Option ID = 25933]
3. ?/2. [Option ID = 25934]
4. ?. [Option ID = 25936]
Correct Answer :-
0 [Option ID = 25933]
[Question ID = 13974]
1. [Option ID = 25895]
2. [Option ID = 25893]
3. [Option
ID = 25896]
4. [Option ID =
25894]
Correct Answer :-
[Option ID = 25893]
[Question ID = 13975]
1. [Option ID = 25899]
2. [Option ID = 25897]
3. [Option ID = 25900]
4. [Option ID = 25898]
Correct Answer :-
[Option ID = 25897]
23)
24)
25)
26)
[Question ID = 13986]
1. 0 < ? < 1, ? = 1 [Option ID = 25942]
2. ? = 0, ? = ?. [Option ID = 25943]
3. ? = ? = 0. [Option ID = 25941]
4. ? = 0, ? = 2. [Option ID = 25944]
Correct Answer :-
? = ? = 0. [Option ID = 25941]
[Question ID = 13985]
1. [?1, 1]. [Option ID = 25938]
2. [0, 1]. [Option ID = 25937]
3. {0}. [Option ID = 25939]
4. [?1, 0]. [Option ID = 25940]
Correct Answer :-
[0, 1]. [Option ID = 25937]
[Question ID = 14002]
1. All (I), (II) and (III) are true. [Option ID = 26007]
2. None of (I), (II)and (III) is true. [Option ID = 26008]
3. Only (I) is true. [Option ID = 26005]
4. Only (I) and (II) are true. [Option ID = 26006]
Correct Answer :-
Only (I) is true. [Option ID = 26005]

FirstRanker.com - FirstRanker's Choice
1)
2)
3)
4)
DU MPhil Phd in Mathemacs
Topic:- DU_J19_MPHIL_MATHS
Which of the following journals is published by Indian Mathematical Society
[Question ID = 13918]
1. Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
2. Indian Journal of Mathematics. [Option ID = 25671]
3. Ramanujan Journal of Mathematics. [Option ID = 25670]
4. The Mathematics Students . [Option ID = 25672]
Correct Answer :-
Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
Name a Fellow of Royal Society who expired in 2019 [Question ID = 13917]
1. M. S. Ragunathan. [Option ID = 25665]
2. Manjul Bhargava. [Option ID = 25666]
3. Michael Atiyah. [Option ID = 25667]
4. S. R. Srinivasa Varadhan. [Option ID = 25668]
Correct Answer :-
M. S. Ragunathan. [Option ID = 25665]
Which of the following statements is true? [Question ID = 13973]
1.
[Option ID = 25890]
2.
[Option ID = 25891]
3.
[Option ID = 25889]
4. [Option ID = 25892]
Correct Answer :-
[Option ID = 25889]
Which of the following statements is true for topological spaces? [Question ID = 13927]
1. Every second countable space is separable. [Option ID = 25706]
5)
6)
7)
2. Every separable space is second countable. [Option ID = 25705]
3. Every ?rst countable space is second countable. [Option ID = 25708]
4. Every ?rst countable space is separable. [Option ID = 25707]
Correct Answer :-
Every separable space is second countable. [Option ID = 25705]
Which of the following statements is not true? [Question ID = 13997]
1.
[Option ID = 25987]
2.
[Option ID = 25986]
3.
[Option ID = 25985]
4.
[Option ID = 25988]
Correct Answer :-
[Option ID = 25985]
Which one of the following fellowship is based on merit in M.A/M.Sc. of the University [Question ID
= 13920]
1. NBHM-JRF. [Option ID = 25679]
2. INSPIRE-JRF [Option ID = 25677]
3. UGC-JRF. [Option ID = 25680]
4. CSIR-JRF [Option ID = 25678]
Correct Answer :-
INSPIRE-JRF [Option ID = 25677]
The Abel prize 2019 was awarded to [Question ID = 13919]
1. Lennert Carleson. [Option ID = 25673]
2. Mikhail Gromov. [Option ID = 25676]
3. Karen Keskulla Uhlenbeck. [Option ID = 25674]
4. Peter Lax. [Option ID = 25675]
Correct Answer :-
Lennert Carleson. [Option ID = 25673]
8)
9)
10)
[Question ID = 13981]
1. [Option ID = 25922]
2. [Option ID = 25921]
3. [Option ID = 25924]
4. [Option ID = 25923]
Correct Answer :-
[Option ID = 25921]
[Question ID = 13968]
1. [Option ID = 25869]
2. [Option ID = 25871]
3. [Option ID = 25870]
4. [Option ID = 25872]
Correct Answer :-
[Option ID = 25869]
[Question ID = 13988]
1. [Option ID = 25951]
2. [Option ID = 25949]
3. [Option ID = 25952]
4. [Option ID = 25950]
Correct Answer :-
11)
12)
13)
[Option ID = 25949]
[Question ID = 14009]
1. cosec(y/x) = c/x. [Option ID = 26036]
2. cosec(y/x) = cx. [Option ID = 26035]
3. sec(y/x) = cx. [Option ID = 26033]
4. sec(y/x) = c/x. [Option ID = 26034]
Correct Answer :-
sec(y/x) = cx. [Option ID = 26033]
[Question ID = 14008]
1. [Option ID = 26029]
2. [Option ID = 26032]
3. [Option ID = 26031]
4. [Option ID = 26030]
Correct Answer :-
[Option ID = 26029]
[Question ID = 13979]
1. [Option ID = 25916]
2. [Option ID = 25913]
3. [Option ID = 25915]
4. [Option ID = 25914]
14)
15)
16)
17)
Correct Answer :-
[Option ID = 25913]
[Question ID = 13995]
1. 2x + y + z = 0. [Option ID = 25979]
2. x + 2y + z = 0. [Option ID = 25978]
3. x + y + z = 0. [Option ID = 25980]
4. x + y + 2z = 0. [Option ID = 25977]
Correct Answer :-
x + y + 2z = 0. [Option ID = 25977]
[Question ID = 14007]
1. [Option ID = 26027]
2. [Option ID = 26028]
3. [Option ID = 26026]
4. [Option ID = 26025]
Correct Answer :-
[Option ID = 26025]
[Question ID = 13969]
1. 1/15 [Option ID = 25876]
2. 2 [Option ID = 25875]
3. 1/10 [Option ID = 25874]
4. 1/5 [Option ID = 25873]
Correct Answer :-
1/5 [Option ID = 25873]
18)
19)
[Question ID = 13994]
1. lines parallel to z-axis. [Option ID = 25975]
2. lines perpendicular to z-axis. [Option ID = 25976]
3. planes perpendicular to xz- plane. [Option ID = 25973]
4. planes parallel to yz- plane. [Option ID = 25974]
Correct Answer :-
planes perpendicular to xz- plane. [Option ID = 25973]
[Question ID = 14001]
1. Neither (I) nor (II) is correct. [Option ID = 26004]
2. Both (I) and (II) are correct. [Option ID = 26003]
3. Only (I) is correct. [Option ID = 26001]
4. Only (II) is correct. [Option ID = 26002]
Correct Answer :-
Only (I) is correct. [Option ID = 26001]
[Question ID = 13970]
1. [Option ID = 25877]
2. [Option ID = 25879]
3. [Option ID = 25878]
4. [Option ID = 25880]
Correct Answer :-
20)
21)
22)
[Option ID = 25877]
[Question ID = 13984]
1. 2 ?. [Option ID = 25935]
2. 0 [Option ID = 25933]
3. ?/2. [Option ID = 25934]
4. ?. [Option ID = 25936]
Correct Answer :-
0 [Option ID = 25933]
[Question ID = 13974]
1. [Option ID = 25895]
2. [Option ID = 25893]
3. [Option
ID = 25896]
4. [Option ID =
25894]
Correct Answer :-
[Option ID = 25893]
[Question ID = 13975]
1. [Option ID = 25899]
2. [Option ID = 25897]
3. [Option ID = 25900]
4. [Option ID = 25898]
Correct Answer :-
[Option ID = 25897]
23)
24)
25)
26)
[Question ID = 13986]
1. 0 < ? < 1, ? = 1 [Option ID = 25942]
2. ? = 0, ? = ?. [Option ID = 25943]
3. ? = ? = 0. [Option ID = 25941]
4. ? = 0, ? = 2. [Option ID = 25944]
Correct Answer :-
? = ? = 0. [Option ID = 25941]
[Question ID = 13985]
1. [?1, 1]. [Option ID = 25938]
2. [0, 1]. [Option ID = 25937]
3. {0}. [Option ID = 25939]
4. [?1, 0]. [Option ID = 25940]
Correct Answer :-
[0, 1]. [Option ID = 25937]
[Question ID = 14002]
1. All (I), (II) and (III) are true. [Option ID = 26007]
2. None of (I), (II)and (III) is true. [Option ID = 26008]
3. Only (I) is true. [Option ID = 26005]
4. Only (I) and (II) are true. [Option ID = 26006]
Correct Answer :-
Only (I) is true. [Option ID = 26005]
27)
28)
29)
[Question ID = 13991]
1. 2 [Option ID = 25963]
2. 1 [Option ID = 25964]
3. 3 [Option ID = 25962]
4. in?nity. [Option ID = 25961]
Correct Answer :-
in?nity. [Option ID = 25961]
[Question ID = 13982]
1. (I) is true but (II) is false. [Option ID = 25925]
2. (I) is false but (II) is true. [Option ID = 25926]
3. Neither (I) nor (II) is true. [Option ID = 25927]
4. Both (I) and (II) are true. [Option ID = 25928]
Correct Answer :-
(I) is true but (II) is false. [Option ID = 25925]
[Question ID = 13978]
1. [Option ID = 25911]
2. [Option ID = 25912]
3. [Option ID = 25909]
4. [Option ID = 25910]
Correct Answer :-
[Option ID = 25909]
[Question ID = 13998]

FirstRanker.com - FirstRanker's Choice
1)
2)
3)
4)
DU MPhil Phd in Mathemacs
Topic:- DU_J19_MPHIL_MATHS
Which of the following journals is published by Indian Mathematical Society
[Question ID = 13918]
1. Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
2. Indian Journal of Mathematics. [Option ID = 25671]
3. Ramanujan Journal of Mathematics. [Option ID = 25670]
4. The Mathematics Students . [Option ID = 25672]
Correct Answer :-
Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
Name a Fellow of Royal Society who expired in 2019 [Question ID = 13917]
1. M. S. Ragunathan. [Option ID = 25665]
2. Manjul Bhargava. [Option ID = 25666]
3. Michael Atiyah. [Option ID = 25667]
4. S. R. Srinivasa Varadhan. [Option ID = 25668]
Correct Answer :-
M. S. Ragunathan. [Option ID = 25665]
Which of the following statements is true? [Question ID = 13973]
1.
[Option ID = 25890]
2.
[Option ID = 25891]
3.
[Option ID = 25889]
4. [Option ID = 25892]
Correct Answer :-
[Option ID = 25889]
Which of the following statements is true for topological spaces? [Question ID = 13927]
1. Every second countable space is separable. [Option ID = 25706]
5)
6)
7)
2. Every separable space is second countable. [Option ID = 25705]
3. Every ?rst countable space is second countable. [Option ID = 25708]
4. Every ?rst countable space is separable. [Option ID = 25707]
Correct Answer :-
Every separable space is second countable. [Option ID = 25705]
Which of the following statements is not true? [Question ID = 13997]
1.
[Option ID = 25987]
2.
[Option ID = 25986]
3.
[Option ID = 25985]
4.
[Option ID = 25988]
Correct Answer :-
[Option ID = 25985]
Which one of the following fellowship is based on merit in M.A/M.Sc. of the University [Question ID
= 13920]
1. NBHM-JRF. [Option ID = 25679]
2. INSPIRE-JRF [Option ID = 25677]
3. UGC-JRF. [Option ID = 25680]
4. CSIR-JRF [Option ID = 25678]
Correct Answer :-
INSPIRE-JRF [Option ID = 25677]
The Abel prize 2019 was awarded to [Question ID = 13919]
1. Lennert Carleson. [Option ID = 25673]
2. Mikhail Gromov. [Option ID = 25676]
3. Karen Keskulla Uhlenbeck. [Option ID = 25674]
4. Peter Lax. [Option ID = 25675]
Correct Answer :-
Lennert Carleson. [Option ID = 25673]
8)
9)
10)
[Question ID = 13981]
1. [Option ID = 25922]
2. [Option ID = 25921]
3. [Option ID = 25924]
4. [Option ID = 25923]
Correct Answer :-
[Option ID = 25921]
[Question ID = 13968]
1. [Option ID = 25869]
2. [Option ID = 25871]
3. [Option ID = 25870]
4. [Option ID = 25872]
Correct Answer :-
[Option ID = 25869]
[Question ID = 13988]
1. [Option ID = 25951]
2. [Option ID = 25949]
3. [Option ID = 25952]
4. [Option ID = 25950]
Correct Answer :-
11)
12)
13)
[Option ID = 25949]
[Question ID = 14009]
1. cosec(y/x) = c/x. [Option ID = 26036]
2. cosec(y/x) = cx. [Option ID = 26035]
3. sec(y/x) = cx. [Option ID = 26033]
4. sec(y/x) = c/x. [Option ID = 26034]
Correct Answer :-
sec(y/x) = cx. [Option ID = 26033]
[Question ID = 14008]
1. [Option ID = 26029]
2. [Option ID = 26032]
3. [Option ID = 26031]
4. [Option ID = 26030]
Correct Answer :-
[Option ID = 26029]
[Question ID = 13979]
1. [Option ID = 25916]
2. [Option ID = 25913]
3. [Option ID = 25915]
4. [Option ID = 25914]
14)
15)
16)
17)
Correct Answer :-
[Option ID = 25913]
[Question ID = 13995]
1. 2x + y + z = 0. [Option ID = 25979]
2. x + 2y + z = 0. [Option ID = 25978]
3. x + y + z = 0. [Option ID = 25980]
4. x + y + 2z = 0. [Option ID = 25977]
Correct Answer :-
x + y + 2z = 0. [Option ID = 25977]
[Question ID = 14007]
1. [Option ID = 26027]
2. [Option ID = 26028]
3. [Option ID = 26026]
4. [Option ID = 26025]
Correct Answer :-
[Option ID = 26025]
[Question ID = 13969]
1. 1/15 [Option ID = 25876]
2. 2 [Option ID = 25875]
3. 1/10 [Option ID = 25874]
4. 1/5 [Option ID = 25873]
Correct Answer :-
1/5 [Option ID = 25873]
18)
19)
[Question ID = 13994]
1. lines parallel to z-axis. [Option ID = 25975]
2. lines perpendicular to z-axis. [Option ID = 25976]
3. planes perpendicular to xz- plane. [Option ID = 25973]
4. planes parallel to yz- plane. [Option ID = 25974]
Correct Answer :-
planes perpendicular to xz- plane. [Option ID = 25973]
[Question ID = 14001]
1. Neither (I) nor (II) is correct. [Option ID = 26004]
2. Both (I) and (II) are correct. [Option ID = 26003]
3. Only (I) is correct. [Option ID = 26001]
4. Only (II) is correct. [Option ID = 26002]
Correct Answer :-
Only (I) is correct. [Option ID = 26001]
[Question ID = 13970]
1. [Option ID = 25877]
2. [Option ID = 25879]
3. [Option ID = 25878]
4. [Option ID = 25880]
Correct Answer :-
20)
21)
22)
[Option ID = 25877]
[Question ID = 13984]
1. 2 ?. [Option ID = 25935]
2. 0 [Option ID = 25933]
3. ?/2. [Option ID = 25934]
4. ?. [Option ID = 25936]
Correct Answer :-
0 [Option ID = 25933]
[Question ID = 13974]
1. [Option ID = 25895]
2. [Option ID = 25893]
3. [Option
ID = 25896]
4. [Option ID =
25894]
Correct Answer :-
[Option ID = 25893]
[Question ID = 13975]
1. [Option ID = 25899]
2. [Option ID = 25897]
3. [Option ID = 25900]
4. [Option ID = 25898]
Correct Answer :-
[Option ID = 25897]
23)
24)
25)
26)
[Question ID = 13986]
1. 0 < ? < 1, ? = 1 [Option ID = 25942]
2. ? = 0, ? = ?. [Option ID = 25943]
3. ? = ? = 0. [Option ID = 25941]
4. ? = 0, ? = 2. [Option ID = 25944]
Correct Answer :-
? = ? = 0. [Option ID = 25941]
[Question ID = 13985]
1. [?1, 1]. [Option ID = 25938]
2. [0, 1]. [Option ID = 25937]
3. {0}. [Option ID = 25939]
4. [?1, 0]. [Option ID = 25940]
Correct Answer :-
[0, 1]. [Option ID = 25937]
[Question ID = 14002]
1. All (I), (II) and (III) are true. [Option ID = 26007]
2. None of (I), (II)and (III) is true. [Option ID = 26008]
3. Only (I) is true. [Option ID = 26005]
4. Only (I) and (II) are true. [Option ID = 26006]
Correct Answer :-
Only (I) is true. [Option ID = 26005]
27)
28)
29)
[Question ID = 13991]
1. 2 [Option ID = 25963]
2. 1 [Option ID = 25964]
3. 3 [Option ID = 25962]
4. in?nity. [Option ID = 25961]
Correct Answer :-
in?nity. [Option ID = 25961]
[Question ID = 13982]
1. (I) is true but (II) is false. [Option ID = 25925]
2. (I) is false but (II) is true. [Option ID = 25926]
3. Neither (I) nor (II) is true. [Option ID = 25927]
4. Both (I) and (II) are true. [Option ID = 25928]
Correct Answer :-
(I) is true but (II) is false. [Option ID = 25925]
[Question ID = 13978]
1. [Option ID = 25911]
2. [Option ID = 25912]
3. [Option ID = 25909]
4. [Option ID = 25910]
Correct Answer :-
[Option ID = 25909]
[Question ID = 13998]
30)
31)
32)
1. 2 [Option ID = 25989]
2. 5 [Option ID = 25991]
3. 8 [Option ID = 25992]
4. 4 [Option ID = 25990]
Correct Answer :-
2 [Option ID = 25989]
[Question ID = 13983]
1. [Option ID = 25931]
2. [Option ID = 25932]
3. [Option ID = 25929]
4. [Option ID = 25930]
Correct Answer :-
[Option ID = 25929]
[Question ID = 14005]
1. [Option ID = 26018]
2. [Option ID = 26019]
3. [Option ID = 26020]
4. [Option ID = 26017]
Correct Answer :-
[Option ID = 26017]
[Question ID = 13976]

FirstRanker.com - FirstRanker's Choice
1)
2)
3)
4)
DU MPhil Phd in Mathemacs
Topic:- DU_J19_MPHIL_MATHS
Which of the following journals is published by Indian Mathematical Society
[Question ID = 13918]
1. Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
2. Indian Journal of Mathematics. [Option ID = 25671]
3. Ramanujan Journal of Mathematics. [Option ID = 25670]
4. The Mathematics Students . [Option ID = 25672]
Correct Answer :-
Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
Name a Fellow of Royal Society who expired in 2019 [Question ID = 13917]
1. M. S. Ragunathan. [Option ID = 25665]
2. Manjul Bhargava. [Option ID = 25666]
3. Michael Atiyah. [Option ID = 25667]
4. S. R. Srinivasa Varadhan. [Option ID = 25668]
Correct Answer :-
M. S. Ragunathan. [Option ID = 25665]
Which of the following statements is true? [Question ID = 13973]
1.
[Option ID = 25890]
2.
[Option ID = 25891]
3.
[Option ID = 25889]
4. [Option ID = 25892]
Correct Answer :-
[Option ID = 25889]
Which of the following statements is true for topological spaces? [Question ID = 13927]
1. Every second countable space is separable. [Option ID = 25706]
5)
6)
7)
2. Every separable space is second countable. [Option ID = 25705]
3. Every ?rst countable space is second countable. [Option ID = 25708]
4. Every ?rst countable space is separable. [Option ID = 25707]
Correct Answer :-
Every separable space is second countable. [Option ID = 25705]
Which of the following statements is not true? [Question ID = 13997]
1.
[Option ID = 25987]
2.
[Option ID = 25986]
3.
[Option ID = 25985]
4.
[Option ID = 25988]
Correct Answer :-
[Option ID = 25985]
Which one of the following fellowship is based on merit in M.A/M.Sc. of the University [Question ID
= 13920]
1. NBHM-JRF. [Option ID = 25679]
2. INSPIRE-JRF [Option ID = 25677]
3. UGC-JRF. [Option ID = 25680]
4. CSIR-JRF [Option ID = 25678]
Correct Answer :-
INSPIRE-JRF [Option ID = 25677]
The Abel prize 2019 was awarded to [Question ID = 13919]
1. Lennert Carleson. [Option ID = 25673]
2. Mikhail Gromov. [Option ID = 25676]
3. Karen Keskulla Uhlenbeck. [Option ID = 25674]
4. Peter Lax. [Option ID = 25675]
Correct Answer :-
Lennert Carleson. [Option ID = 25673]
8)
9)
10)
[Question ID = 13981]
1. [Option ID = 25922]
2. [Option ID = 25921]
3. [Option ID = 25924]
4. [Option ID = 25923]
Correct Answer :-
[Option ID = 25921]
[Question ID = 13968]
1. [Option ID = 25869]
2. [Option ID = 25871]
3. [Option ID = 25870]
4. [Option ID = 25872]
Correct Answer :-
[Option ID = 25869]
[Question ID = 13988]
1. [Option ID = 25951]
2. [Option ID = 25949]
3. [Option ID = 25952]
4. [Option ID = 25950]
Correct Answer :-
11)
12)
13)
[Option ID = 25949]
[Question ID = 14009]
1. cosec(y/x) = c/x. [Option ID = 26036]
2. cosec(y/x) = cx. [Option ID = 26035]
3. sec(y/x) = cx. [Option ID = 26033]
4. sec(y/x) = c/x. [Option ID = 26034]
Correct Answer :-
sec(y/x) = cx. [Option ID = 26033]
[Question ID = 14008]
1. [Option ID = 26029]
2. [Option ID = 26032]
3. [Option ID = 26031]
4. [Option ID = 26030]
Correct Answer :-
[Option ID = 26029]
[Question ID = 13979]
1. [Option ID = 25916]
2. [Option ID = 25913]
3. [Option ID = 25915]
4. [Option ID = 25914]
14)
15)
16)
17)
Correct Answer :-
[Option ID = 25913]
[Question ID = 13995]
1. 2x + y + z = 0. [Option ID = 25979]
2. x + 2y + z = 0. [Option ID = 25978]
3. x + y + z = 0. [Option ID = 25980]
4. x + y + 2z = 0. [Option ID = 25977]
Correct Answer :-
x + y + 2z = 0. [Option ID = 25977]
[Question ID = 14007]
1. [Option ID = 26027]
2. [Option ID = 26028]
3. [Option ID = 26026]
4. [Option ID = 26025]
Correct Answer :-
[Option ID = 26025]
[Question ID = 13969]
1. 1/15 [Option ID = 25876]
2. 2 [Option ID = 25875]
3. 1/10 [Option ID = 25874]
4. 1/5 [Option ID = 25873]
Correct Answer :-
1/5 [Option ID = 25873]
18)
19)
[Question ID = 13994]
1. lines parallel to z-axis. [Option ID = 25975]
2. lines perpendicular to z-axis. [Option ID = 25976]
3. planes perpendicular to xz- plane. [Option ID = 25973]
4. planes parallel to yz- plane. [Option ID = 25974]
Correct Answer :-
planes perpendicular to xz- plane. [Option ID = 25973]
[Question ID = 14001]
1. Neither (I) nor (II) is correct. [Option ID = 26004]
2. Both (I) and (II) are correct. [Option ID = 26003]
3. Only (I) is correct. [Option ID = 26001]
4. Only (II) is correct. [Option ID = 26002]
Correct Answer :-
Only (I) is correct. [Option ID = 26001]
[Question ID = 13970]
1. [Option ID = 25877]
2. [Option ID = 25879]
3. [Option ID = 25878]
4. [Option ID = 25880]
Correct Answer :-
20)
21)
22)
[Option ID = 25877]
[Question ID = 13984]
1. 2 ?. [Option ID = 25935]
2. 0 [Option ID = 25933]
3. ?/2. [Option ID = 25934]
4. ?. [Option ID = 25936]
Correct Answer :-
0 [Option ID = 25933]
[Question ID = 13974]
1. [Option ID = 25895]
2. [Option ID = 25893]
3. [Option
ID = 25896]
4. [Option ID =
25894]
Correct Answer :-
[Option ID = 25893]
[Question ID = 13975]
1. [Option ID = 25899]
2. [Option ID = 25897]
3. [Option ID = 25900]
4. [Option ID = 25898]
Correct Answer :-
[Option ID = 25897]
23)
24)
25)
26)
[Question ID = 13986]
1. 0 < ? < 1, ? = 1 [Option ID = 25942]
2. ? = 0, ? = ?. [Option ID = 25943]
3. ? = ? = 0. [Option ID = 25941]
4. ? = 0, ? = 2. [Option ID = 25944]
Correct Answer :-
? = ? = 0. [Option ID = 25941]
[Question ID = 13985]
1. [?1, 1]. [Option ID = 25938]
2. [0, 1]. [Option ID = 25937]
3. {0}. [Option ID = 25939]
4. [?1, 0]. [Option ID = 25940]
Correct Answer :-
[0, 1]. [Option ID = 25937]
[Question ID = 14002]
1. All (I), (II) and (III) are true. [Option ID = 26007]
2. None of (I), (II)and (III) is true. [Option ID = 26008]
3. Only (I) is true. [Option ID = 26005]
4. Only (I) and (II) are true. [Option ID = 26006]
Correct Answer :-
Only (I) is true. [Option ID = 26005]
27)
28)
29)
[Question ID = 13991]
1. 2 [Option ID = 25963]
2. 1 [Option ID = 25964]
3. 3 [Option ID = 25962]
4. in?nity. [Option ID = 25961]
Correct Answer :-
in?nity. [Option ID = 25961]
[Question ID = 13982]
1. (I) is true but (II) is false. [Option ID = 25925]
2. (I) is false but (II) is true. [Option ID = 25926]
3. Neither (I) nor (II) is true. [Option ID = 25927]
4. Both (I) and (II) are true. [Option ID = 25928]
Correct Answer :-
(I) is true but (II) is false. [Option ID = 25925]
[Question ID = 13978]
1. [Option ID = 25911]
2. [Option ID = 25912]
3. [Option ID = 25909]
4. [Option ID = 25910]
Correct Answer :-
[Option ID = 25909]
[Question ID = 13998]
30)
31)
32)
1. 2 [Option ID = 25989]
2. 5 [Option ID = 25991]
3. 8 [Option ID = 25992]
4. 4 [Option ID = 25990]
Correct Answer :-
2 [Option ID = 25989]
[Question ID = 13983]
1. [Option ID = 25931]
2. [Option ID = 25932]
3. [Option ID = 25929]
4. [Option ID = 25930]
Correct Answer :-
[Option ID = 25929]
[Question ID = 14005]
1. [Option ID = 26018]
2. [Option ID = 26019]
3. [Option ID = 26020]
4. [Option ID = 26017]
Correct Answer :-
[Option ID = 26017]
[Question ID = 13976]
33)
34)
35)
1. [Option ID = 25902]
2.
[Option ID = 25903]
3. [Option ID = 25904]
4.
[Option ID = 25901]
Correct Answer :-
[Option ID = 25901]
[Question ID = 13993]
1. dimension of kernel of D is 2. [Option ID = 25969]
2. dimension of kernel of D is 4. [Option ID = 25970]
3. range of D = V . [Option ID = 25972]
4. range of D is a ?nite dimensional space [Option ID = 25971]
Correct Answer :-
dimension of kernel of D is 2. [Option ID = 25969]
[Question ID = 14000]
1. [Option ID = 25998]
2. [Option ID = 26000]
3. [Option ID = 25997]
4. [Option ID = 25999]
Correct Answer :-
[Option ID = 25997]

FirstRanker.com - FirstRanker's Choice
1)
2)
3)
4)
DU MPhil Phd in Mathemacs
Topic:- DU_J19_MPHIL_MATHS
Which of the following journals is published by Indian Mathematical Society
[Question ID = 13918]
1. Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
2. Indian Journal of Mathematics. [Option ID = 25671]
3. Ramanujan Journal of Mathematics. [Option ID = 25670]
4. The Mathematics Students . [Option ID = 25672]
Correct Answer :-
Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
Name a Fellow of Royal Society who expired in 2019 [Question ID = 13917]
1. M. S. Ragunathan. [Option ID = 25665]
2. Manjul Bhargava. [Option ID = 25666]
3. Michael Atiyah. [Option ID = 25667]
4. S. R. Srinivasa Varadhan. [Option ID = 25668]
Correct Answer :-
M. S. Ragunathan. [Option ID = 25665]
Which of the following statements is true? [Question ID = 13973]
1.
[Option ID = 25890]
2.
[Option ID = 25891]
3.
[Option ID = 25889]
4. [Option ID = 25892]
Correct Answer :-
[Option ID = 25889]
Which of the following statements is true for topological spaces? [Question ID = 13927]
1. Every second countable space is separable. [Option ID = 25706]
5)
6)
7)
2. Every separable space is second countable. [Option ID = 25705]
3. Every ?rst countable space is second countable. [Option ID = 25708]
4. Every ?rst countable space is separable. [Option ID = 25707]
Correct Answer :-
Every separable space is second countable. [Option ID = 25705]
Which of the following statements is not true? [Question ID = 13997]
1.
[Option ID = 25987]
2.
[Option ID = 25986]
3.
[Option ID = 25985]
4.
[Option ID = 25988]
Correct Answer :-
[Option ID = 25985]
Which one of the following fellowship is based on merit in M.A/M.Sc. of the University [Question ID
= 13920]
1. NBHM-JRF. [Option ID = 25679]
2. INSPIRE-JRF [Option ID = 25677]
3. UGC-JRF. [Option ID = 25680]
4. CSIR-JRF [Option ID = 25678]
Correct Answer :-
INSPIRE-JRF [Option ID = 25677]
The Abel prize 2019 was awarded to [Question ID = 13919]
1. Lennert Carleson. [Option ID = 25673]
2. Mikhail Gromov. [Option ID = 25676]
3. Karen Keskulla Uhlenbeck. [Option ID = 25674]
4. Peter Lax. [Option ID = 25675]
Correct Answer :-
Lennert Carleson. [Option ID = 25673]
8)
9)
10)
[Question ID = 13981]
1. [Option ID = 25922]
2. [Option ID = 25921]
3. [Option ID = 25924]
4. [Option ID = 25923]
Correct Answer :-
[Option ID = 25921]
[Question ID = 13968]
1. [Option ID = 25869]
2. [Option ID = 25871]
3. [Option ID = 25870]
4. [Option ID = 25872]
Correct Answer :-
[Option ID = 25869]
[Question ID = 13988]
1. [Option ID = 25951]
2. [Option ID = 25949]
3. [Option ID = 25952]
4. [Option ID = 25950]
Correct Answer :-
11)
12)
13)
[Option ID = 25949]
[Question ID = 14009]
1. cosec(y/x) = c/x. [Option ID = 26036]
2. cosec(y/x) = cx. [Option ID = 26035]
3. sec(y/x) = cx. [Option ID = 26033]
4. sec(y/x) = c/x. [Option ID = 26034]
Correct Answer :-
sec(y/x) = cx. [Option ID = 26033]
[Question ID = 14008]
1. [Option ID = 26029]
2. [Option ID = 26032]
3. [Option ID = 26031]
4. [Option ID = 26030]
Correct Answer :-
[Option ID = 26029]
[Question ID = 13979]
1. [Option ID = 25916]
2. [Option ID = 25913]
3. [Option ID = 25915]
4. [Option ID = 25914]
14)
15)
16)
17)
Correct Answer :-
[Option ID = 25913]
[Question ID = 13995]
1. 2x + y + z = 0. [Option ID = 25979]
2. x + 2y + z = 0. [Option ID = 25978]
3. x + y + z = 0. [Option ID = 25980]
4. x + y + 2z = 0. [Option ID = 25977]
Correct Answer :-
x + y + 2z = 0. [Option ID = 25977]
[Question ID = 14007]
1. [Option ID = 26027]
2. [Option ID = 26028]
3. [Option ID = 26026]
4. [Option ID = 26025]
Correct Answer :-
[Option ID = 26025]
[Question ID = 13969]
1. 1/15 [Option ID = 25876]
2. 2 [Option ID = 25875]
3. 1/10 [Option ID = 25874]
4. 1/5 [Option ID = 25873]
Correct Answer :-
1/5 [Option ID = 25873]
18)
19)
[Question ID = 13994]
1. lines parallel to z-axis. [Option ID = 25975]
2. lines perpendicular to z-axis. [Option ID = 25976]
3. planes perpendicular to xz- plane. [Option ID = 25973]
4. planes parallel to yz- plane. [Option ID = 25974]
Correct Answer :-
planes perpendicular to xz- plane. [Option ID = 25973]
[Question ID = 14001]
1. Neither (I) nor (II) is correct. [Option ID = 26004]
2. Both (I) and (II) are correct. [Option ID = 26003]
3. Only (I) is correct. [Option ID = 26001]
4. Only (II) is correct. [Option ID = 26002]
Correct Answer :-
Only (I) is correct. [Option ID = 26001]
[Question ID = 13970]
1. [Option ID = 25877]
2. [Option ID = 25879]
3. [Option ID = 25878]
4. [Option ID = 25880]
Correct Answer :-
20)
21)
22)
[Option ID = 25877]
[Question ID = 13984]
1. 2 ?. [Option ID = 25935]
2. 0 [Option ID = 25933]
3. ?/2. [Option ID = 25934]
4. ?. [Option ID = 25936]
Correct Answer :-
0 [Option ID = 25933]
[Question ID = 13974]
1. [Option ID = 25895]
2. [Option ID = 25893]
3. [Option
ID = 25896]
4. [Option ID =
25894]
Correct Answer :-
[Option ID = 25893]
[Question ID = 13975]
1. [Option ID = 25899]
2. [Option ID = 25897]
3. [Option ID = 25900]
4. [Option ID = 25898]
Correct Answer :-
[Option ID = 25897]
23)
24)
25)
26)
[Question ID = 13986]
1. 0 < ? < 1, ? = 1 [Option ID = 25942]
2. ? = 0, ? = ?. [Option ID = 25943]
3. ? = ? = 0. [Option ID = 25941]
4. ? = 0, ? = 2. [Option ID = 25944]
Correct Answer :-
? = ? = 0. [Option ID = 25941]
[Question ID = 13985]
1. [?1, 1]. [Option ID = 25938]
2. [0, 1]. [Option ID = 25937]
3. {0}. [Option ID = 25939]
4. [?1, 0]. [Option ID = 25940]
Correct Answer :-
[0, 1]. [Option ID = 25937]
[Question ID = 14002]
1. All (I), (II) and (III) are true. [Option ID = 26007]
2. None of (I), (II)and (III) is true. [Option ID = 26008]
3. Only (I) is true. [Option ID = 26005]
4. Only (I) and (II) are true. [Option ID = 26006]
Correct Answer :-
Only (I) is true. [Option ID = 26005]
27)
28)
29)
[Question ID = 13991]
1. 2 [Option ID = 25963]
2. 1 [Option ID = 25964]
3. 3 [Option ID = 25962]
4. in?nity. [Option ID = 25961]
Correct Answer :-
in?nity. [Option ID = 25961]
[Question ID = 13982]
1. (I) is true but (II) is false. [Option ID = 25925]
2. (I) is false but (II) is true. [Option ID = 25926]
3. Neither (I) nor (II) is true. [Option ID = 25927]
4. Both (I) and (II) are true. [Option ID = 25928]
Correct Answer :-
(I) is true but (II) is false. [Option ID = 25925]
[Question ID = 13978]
1. [Option ID = 25911]
2. [Option ID = 25912]
3. [Option ID = 25909]
4. [Option ID = 25910]
Correct Answer :-
[Option ID = 25909]
[Question ID = 13998]
30)
31)
32)
1. 2 [Option ID = 25989]
2. 5 [Option ID = 25991]
3. 8 [Option ID = 25992]
4. 4 [Option ID = 25990]
Correct Answer :-
2 [Option ID = 25989]
[Question ID = 13983]
1. [Option ID = 25931]
2. [Option ID = 25932]
3. [Option ID = 25929]
4. [Option ID = 25930]
Correct Answer :-
[Option ID = 25929]
[Question ID = 14005]
1. [Option ID = 26018]
2. [Option ID = 26019]
3. [Option ID = 26020]
4. [Option ID = 26017]
Correct Answer :-
[Option ID = 26017]
[Question ID = 13976]
33)
34)
35)
1. [Option ID = 25902]
2.
[Option ID = 25903]
3. [Option ID = 25904]
4.
[Option ID = 25901]
Correct Answer :-
[Option ID = 25901]
[Question ID = 13993]
1. dimension of kernel of D is 2. [Option ID = 25969]
2. dimension of kernel of D is 4. [Option ID = 25970]
3. range of D = V . [Option ID = 25972]
4. range of D is a ?nite dimensional space [Option ID = 25971]
Correct Answer :-
dimension of kernel of D is 2. [Option ID = 25969]
[Question ID = 14000]
1. [Option ID = 25998]
2. [Option ID = 26000]
3. [Option ID = 25997]
4. [Option ID = 25999]
Correct Answer :-
[Option ID = 25997]
36)
37)
[Question ID = 14006]
1. [Option ID = 26023]
2. [Option ID = 26022]
3. [Option ID = 26024]
4. [Option ID = 26021]
Correct Answer :-
[Option ID = 26021]
[Question ID = 13972]
1. continuous, one-one but not onto. [Option ID = 25886]
2. not a continuous map. [Option ID = 25885]
3. a continuous bijection but not an open map. [Option ID = 25887]
4. a homeomorphism. [Option ID = 25888]
Correct Answer :-
not a continuous map. [Option ID = 25885]
[Question ID = 13990]
1.
[Option ID = 25959]
2. [Option
ID = 25958]
3. [Option ID =
25957]
4.
[Option ID = 25960]
Correct Answer :-

FirstRanker.com - FirstRanker's Choice
1)
2)
3)
4)
DU MPhil Phd in Mathemacs
Topic:- DU_J19_MPHIL_MATHS
Which of the following journals is published by Indian Mathematical Society
[Question ID = 13918]
1. Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
2. Indian Journal of Mathematics. [Option ID = 25671]
3. Ramanujan Journal of Mathematics. [Option ID = 25670]
4. The Mathematics Students . [Option ID = 25672]
Correct Answer :-
Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
Name a Fellow of Royal Society who expired in 2019 [Question ID = 13917]
1. M. S. Ragunathan. [Option ID = 25665]
2. Manjul Bhargava. [Option ID = 25666]
3. Michael Atiyah. [Option ID = 25667]
4. S. R. Srinivasa Varadhan. [Option ID = 25668]
Correct Answer :-
M. S. Ragunathan. [Option ID = 25665]
Which of the following statements is true? [Question ID = 13973]
1.
[Option ID = 25890]
2.
[Option ID = 25891]
3.
[Option ID = 25889]
4. [Option ID = 25892]
Correct Answer :-
[Option ID = 25889]
Which of the following statements is true for topological spaces? [Question ID = 13927]
1. Every second countable space is separable. [Option ID = 25706]
5)
6)
7)
2. Every separable space is second countable. [Option ID = 25705]
3. Every ?rst countable space is second countable. [Option ID = 25708]
4. Every ?rst countable space is separable. [Option ID = 25707]
Correct Answer :-
Every separable space is second countable. [Option ID = 25705]
Which of the following statements is not true? [Question ID = 13997]
1.
[Option ID = 25987]
2.
[Option ID = 25986]
3.
[Option ID = 25985]
4.
[Option ID = 25988]
Correct Answer :-
[Option ID = 25985]
Which one of the following fellowship is based on merit in M.A/M.Sc. of the University [Question ID
= 13920]
1. NBHM-JRF. [Option ID = 25679]
2. INSPIRE-JRF [Option ID = 25677]
3. UGC-JRF. [Option ID = 25680]
4. CSIR-JRF [Option ID = 25678]
Correct Answer :-
INSPIRE-JRF [Option ID = 25677]
The Abel prize 2019 was awarded to [Question ID = 13919]
1. Lennert Carleson. [Option ID = 25673]
2. Mikhail Gromov. [Option ID = 25676]
3. Karen Keskulla Uhlenbeck. [Option ID = 25674]
4. Peter Lax. [Option ID = 25675]
Correct Answer :-
Lennert Carleson. [Option ID = 25673]
8)
9)
10)
[Question ID = 13981]
1. [Option ID = 25922]
2. [Option ID = 25921]
3. [Option ID = 25924]
4. [Option ID = 25923]
Correct Answer :-
[Option ID = 25921]
[Question ID = 13968]
1. [Option ID = 25869]
2. [Option ID = 25871]
3. [Option ID = 25870]
4. [Option ID = 25872]
Correct Answer :-
[Option ID = 25869]
[Question ID = 13988]
1. [Option ID = 25951]
2. [Option ID = 25949]
3. [Option ID = 25952]
4. [Option ID = 25950]
Correct Answer :-
11)
12)
13)
[Option ID = 25949]
[Question ID = 14009]
1. cosec(y/x) = c/x. [Option ID = 26036]
2. cosec(y/x) = cx. [Option ID = 26035]
3. sec(y/x) = cx. [Option ID = 26033]
4. sec(y/x) = c/x. [Option ID = 26034]
Correct Answer :-
sec(y/x) = cx. [Option ID = 26033]
[Question ID = 14008]
1. [Option ID = 26029]
2. [Option ID = 26032]
3. [Option ID = 26031]
4. [Option ID = 26030]
Correct Answer :-
[Option ID = 26029]
[Question ID = 13979]
1. [Option ID = 25916]
2. [Option ID = 25913]
3. [Option ID = 25915]
4. [Option ID = 25914]
14)
15)
16)
17)
Correct Answer :-
[Option ID = 25913]
[Question ID = 13995]
1. 2x + y + z = 0. [Option ID = 25979]
2. x + 2y + z = 0. [Option ID = 25978]
3. x + y + z = 0. [Option ID = 25980]
4. x + y + 2z = 0. [Option ID = 25977]
Correct Answer :-
x + y + 2z = 0. [Option ID = 25977]
[Question ID = 14007]
1. [Option ID = 26027]
2. [Option ID = 26028]
3. [Option ID = 26026]
4. [Option ID = 26025]
Correct Answer :-
[Option ID = 26025]
[Question ID = 13969]
1. 1/15 [Option ID = 25876]
2. 2 [Option ID = 25875]
3. 1/10 [Option ID = 25874]
4. 1/5 [Option ID = 25873]
Correct Answer :-
1/5 [Option ID = 25873]
18)
19)
[Question ID = 13994]
1. lines parallel to z-axis. [Option ID = 25975]
2. lines perpendicular to z-axis. [Option ID = 25976]
3. planes perpendicular to xz- plane. [Option ID = 25973]
4. planes parallel to yz- plane. [Option ID = 25974]
Correct Answer :-
planes perpendicular to xz- plane. [Option ID = 25973]
[Question ID = 14001]
1. Neither (I) nor (II) is correct. [Option ID = 26004]
2. Both (I) and (II) are correct. [Option ID = 26003]
3. Only (I) is correct. [Option ID = 26001]
4. Only (II) is correct. [Option ID = 26002]
Correct Answer :-
Only (I) is correct. [Option ID = 26001]
[Question ID = 13970]
1. [Option ID = 25877]
2. [Option ID = 25879]
3. [Option ID = 25878]
4. [Option ID = 25880]
Correct Answer :-
20)
21)
22)
[Option ID = 25877]
[Question ID = 13984]
1. 2 ?. [Option ID = 25935]
2. 0 [Option ID = 25933]
3. ?/2. [Option ID = 25934]
4. ?. [Option ID = 25936]
Correct Answer :-
0 [Option ID = 25933]
[Question ID = 13974]
1. [Option ID = 25895]
2. [Option ID = 25893]
3. [Option
ID = 25896]
4. [Option ID =
25894]
Correct Answer :-
[Option ID = 25893]
[Question ID = 13975]
1. [Option ID = 25899]
2. [Option ID = 25897]
3. [Option ID = 25900]
4. [Option ID = 25898]
Correct Answer :-
[Option ID = 25897]
23)
24)
25)
26)
[Question ID = 13986]
1. 0 < ? < 1, ? = 1 [Option ID = 25942]
2. ? = 0, ? = ?. [Option ID = 25943]
3. ? = ? = 0. [Option ID = 25941]
4. ? = 0, ? = 2. [Option ID = 25944]
Correct Answer :-
? = ? = 0. [Option ID = 25941]
[Question ID = 13985]
1. [?1, 1]. [Option ID = 25938]
2. [0, 1]. [Option ID = 25937]
3. {0}. [Option ID = 25939]
4. [?1, 0]. [Option ID = 25940]
Correct Answer :-
[0, 1]. [Option ID = 25937]
[Question ID = 14002]
1. All (I), (II) and (III) are true. [Option ID = 26007]
2. None of (I), (II)and (III) is true. [Option ID = 26008]
3. Only (I) is true. [Option ID = 26005]
4. Only (I) and (II) are true. [Option ID = 26006]
Correct Answer :-
Only (I) is true. [Option ID = 26005]
27)
28)
29)
[Question ID = 13991]
1. 2 [Option ID = 25963]
2. 1 [Option ID = 25964]
3. 3 [Option ID = 25962]
4. in?nity. [Option ID = 25961]
Correct Answer :-
in?nity. [Option ID = 25961]
[Question ID = 13982]
1. (I) is true but (II) is false. [Option ID = 25925]
2. (I) is false but (II) is true. [Option ID = 25926]
3. Neither (I) nor (II) is true. [Option ID = 25927]
4. Both (I) and (II) are true. [Option ID = 25928]
Correct Answer :-
(I) is true but (II) is false. [Option ID = 25925]
[Question ID = 13978]
1. [Option ID = 25911]
2. [Option ID = 25912]
3. [Option ID = 25909]
4. [Option ID = 25910]
Correct Answer :-
[Option ID = 25909]
[Question ID = 13998]
30)
31)
32)
1. 2 [Option ID = 25989]
2. 5 [Option ID = 25991]
3. 8 [Option ID = 25992]
4. 4 [Option ID = 25990]
Correct Answer :-
2 [Option ID = 25989]
[Question ID = 13983]
1. [Option ID = 25931]
2. [Option ID = 25932]
3. [Option ID = 25929]
4. [Option ID = 25930]
Correct Answer :-
[Option ID = 25929]
[Question ID = 14005]
1. [Option ID = 26018]
2. [Option ID = 26019]
3. [Option ID = 26020]
4. [Option ID = 26017]
Correct Answer :-
[Option ID = 26017]
[Question ID = 13976]
33)
34)
35)
1. [Option ID = 25902]
2.
[Option ID = 25903]
3. [Option ID = 25904]
4.
[Option ID = 25901]
Correct Answer :-
[Option ID = 25901]
[Question ID = 13993]
1. dimension of kernel of D is 2. [Option ID = 25969]
2. dimension of kernel of D is 4. [Option ID = 25970]
3. range of D = V . [Option ID = 25972]
4. range of D is a ?nite dimensional space [Option ID = 25971]
Correct Answer :-
dimension of kernel of D is 2. [Option ID = 25969]
[Question ID = 14000]
1. [Option ID = 25998]
2. [Option ID = 26000]
3. [Option ID = 25997]
4. [Option ID = 25999]
Correct Answer :-
[Option ID = 25997]
36)
37)
[Question ID = 14006]
1. [Option ID = 26023]
2. [Option ID = 26022]
3. [Option ID = 26024]
4. [Option ID = 26021]
Correct Answer :-
[Option ID = 26021]
[Question ID = 13972]
1. continuous, one-one but not onto. [Option ID = 25886]
2. not a continuous map. [Option ID = 25885]
3. a continuous bijection but not an open map. [Option ID = 25887]
4. a homeomorphism. [Option ID = 25888]
Correct Answer :-
not a continuous map. [Option ID = 25885]
[Question ID = 13990]
1.
[Option ID = 25959]
2. [Option
ID = 25958]
3. [Option ID =
25957]
4.
[Option ID = 25960]
Correct Answer :-
38)
39)
40)
[Option ID =
25957]
[Question ID = 13992]
1. [Option ID = 25967]
2. [Option ID = 25966]
3. [Option ID = 25965]
4. [Option ID = 25968]
Correct Answer :-
[Option ID = 25965]
[Question ID = 14004]
1. [Option ID = 26015]
2. [Option ID = 26014]
3. [Option ID = 26013]
4. [Option ID = 26016]
Correct Answer :-
[Option ID = 26013]
[Question ID = 13980]

FirstRanker.com - FirstRanker's Choice
1)
2)
3)
4)
DU MPhil Phd in Mathemacs
Topic:- DU_J19_MPHIL_MATHS
Which of the following journals is published by Indian Mathematical Society
[Question ID = 13918]
1. Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
2. Indian Journal of Mathematics. [Option ID = 25671]
3. Ramanujan Journal of Mathematics. [Option ID = 25670]
4. The Mathematics Students . [Option ID = 25672]
Correct Answer :-
Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
Name a Fellow of Royal Society who expired in 2019 [Question ID = 13917]
1. M. S. Ragunathan. [Option ID = 25665]
2. Manjul Bhargava. [Option ID = 25666]
3. Michael Atiyah. [Option ID = 25667]
4. S. R. Srinivasa Varadhan. [Option ID = 25668]
Correct Answer :-
M. S. Ragunathan. [Option ID = 25665]
Which of the following statements is true? [Question ID = 13973]
1.
[Option ID = 25890]
2.
[Option ID = 25891]
3.
[Option ID = 25889]
4. [Option ID = 25892]
Correct Answer :-
[Option ID = 25889]
Which of the following statements is true for topological spaces? [Question ID = 13927]
1. Every second countable space is separable. [Option ID = 25706]
5)
6)
7)
2. Every separable space is second countable. [Option ID = 25705]
3. Every ?rst countable space is second countable. [Option ID = 25708]
4. Every ?rst countable space is separable. [Option ID = 25707]
Correct Answer :-
Every separable space is second countable. [Option ID = 25705]
Which of the following statements is not true? [Question ID = 13997]
1.
[Option ID = 25987]
2.
[Option ID = 25986]
3.
[Option ID = 25985]
4.
[Option ID = 25988]
Correct Answer :-
[Option ID = 25985]
Which one of the following fellowship is based on merit in M.A/M.Sc. of the University [Question ID
= 13920]
1. NBHM-JRF. [Option ID = 25679]
2. INSPIRE-JRF [Option ID = 25677]
3. UGC-JRF. [Option ID = 25680]
4. CSIR-JRF [Option ID = 25678]
Correct Answer :-
INSPIRE-JRF [Option ID = 25677]
The Abel prize 2019 was awarded to [Question ID = 13919]
1. Lennert Carleson. [Option ID = 25673]
2. Mikhail Gromov. [Option ID = 25676]
3. Karen Keskulla Uhlenbeck. [Option ID = 25674]
4. Peter Lax. [Option ID = 25675]
Correct Answer :-
Lennert Carleson. [Option ID = 25673]
8)
9)
10)
[Question ID = 13981]
1. [Option ID = 25922]
2. [Option ID = 25921]
3. [Option ID = 25924]
4. [Option ID = 25923]
Correct Answer :-
[Option ID = 25921]
[Question ID = 13968]
1. [Option ID = 25869]
2. [Option ID = 25871]
3. [Option ID = 25870]
4. [Option ID = 25872]
Correct Answer :-
[Option ID = 25869]
[Question ID = 13988]
1. [Option ID = 25951]
2. [Option ID = 25949]
3. [Option ID = 25952]
4. [Option ID = 25950]
Correct Answer :-
11)
12)
13)
[Option ID = 25949]
[Question ID = 14009]
1. cosec(y/x) = c/x. [Option ID = 26036]
2. cosec(y/x) = cx. [Option ID = 26035]
3. sec(y/x) = cx. [Option ID = 26033]
4. sec(y/x) = c/x. [Option ID = 26034]
Correct Answer :-
sec(y/x) = cx. [Option ID = 26033]
[Question ID = 14008]
1. [Option ID = 26029]
2. [Option ID = 26032]
3. [Option ID = 26031]
4. [Option ID = 26030]
Correct Answer :-
[Option ID = 26029]
[Question ID = 13979]
1. [Option ID = 25916]
2. [Option ID = 25913]
3. [Option ID = 25915]
4. [Option ID = 25914]
14)
15)
16)
17)
Correct Answer :-
[Option ID = 25913]
[Question ID = 13995]
1. 2x + y + z = 0. [Option ID = 25979]
2. x + 2y + z = 0. [Option ID = 25978]
3. x + y + z = 0. [Option ID = 25980]
4. x + y + 2z = 0. [Option ID = 25977]
Correct Answer :-
x + y + 2z = 0. [Option ID = 25977]
[Question ID = 14007]
1. [Option ID = 26027]
2. [Option ID = 26028]
3. [Option ID = 26026]
4. [Option ID = 26025]
Correct Answer :-
[Option ID = 26025]
[Question ID = 13969]
1. 1/15 [Option ID = 25876]
2. 2 [Option ID = 25875]
3. 1/10 [Option ID = 25874]
4. 1/5 [Option ID = 25873]
Correct Answer :-
1/5 [Option ID = 25873]
18)
19)
[Question ID = 13994]
1. lines parallel to z-axis. [Option ID = 25975]
2. lines perpendicular to z-axis. [Option ID = 25976]
3. planes perpendicular to xz- plane. [Option ID = 25973]
4. planes parallel to yz- plane. [Option ID = 25974]
Correct Answer :-
planes perpendicular to xz- plane. [Option ID = 25973]
[Question ID = 14001]
1. Neither (I) nor (II) is correct. [Option ID = 26004]
2. Both (I) and (II) are correct. [Option ID = 26003]
3. Only (I) is correct. [Option ID = 26001]
4. Only (II) is correct. [Option ID = 26002]
Correct Answer :-
Only (I) is correct. [Option ID = 26001]
[Question ID = 13970]
1. [Option ID = 25877]
2. [Option ID = 25879]
3. [Option ID = 25878]
4. [Option ID = 25880]
Correct Answer :-
20)
21)
22)
[Option ID = 25877]
[Question ID = 13984]
1. 2 ?. [Option ID = 25935]
2. 0 [Option ID = 25933]
3. ?/2. [Option ID = 25934]
4. ?. [Option ID = 25936]
Correct Answer :-
0 [Option ID = 25933]
[Question ID = 13974]
1. [Option ID = 25895]
2. [Option ID = 25893]
3. [Option
ID = 25896]
4. [Option ID =
25894]
Correct Answer :-
[Option ID = 25893]
[Question ID = 13975]
1. [Option ID = 25899]
2. [Option ID = 25897]
3. [Option ID = 25900]
4. [Option ID = 25898]
Correct Answer :-
[Option ID = 25897]
23)
24)
25)
26)
[Question ID = 13986]
1. 0 < ? < 1, ? = 1 [Option ID = 25942]
2. ? = 0, ? = ?. [Option ID = 25943]
3. ? = ? = 0. [Option ID = 25941]
4. ? = 0, ? = 2. [Option ID = 25944]
Correct Answer :-
? = ? = 0. [Option ID = 25941]
[Question ID = 13985]
1. [?1, 1]. [Option ID = 25938]
2. [0, 1]. [Option ID = 25937]
3. {0}. [Option ID = 25939]
4. [?1, 0]. [Option ID = 25940]
Correct Answer :-
[0, 1]. [Option ID = 25937]
[Question ID = 14002]
1. All (I), (II) and (III) are true. [Option ID = 26007]
2. None of (I), (II)and (III) is true. [Option ID = 26008]
3. Only (I) is true. [Option ID = 26005]
4. Only (I) and (II) are true. [Option ID = 26006]
Correct Answer :-
Only (I) is true. [Option ID = 26005]
27)
28)
29)
[Question ID = 13991]
1. 2 [Option ID = 25963]
2. 1 [Option ID = 25964]
3. 3 [Option ID = 25962]
4. in?nity. [Option ID = 25961]
Correct Answer :-
in?nity. [Option ID = 25961]
[Question ID = 13982]
1. (I) is true but (II) is false. [Option ID = 25925]
2. (I) is false but (II) is true. [Option ID = 25926]
3. Neither (I) nor (II) is true. [Option ID = 25927]
4. Both (I) and (II) are true. [Option ID = 25928]
Correct Answer :-
(I) is true but (II) is false. [Option ID = 25925]
[Question ID = 13978]
1. [Option ID = 25911]
2. [Option ID = 25912]
3. [Option ID = 25909]
4. [Option ID = 25910]
Correct Answer :-
[Option ID = 25909]
[Question ID = 13998]
30)
31)
32)
1. 2 [Option ID = 25989]
2. 5 [Option ID = 25991]
3. 8 [Option ID = 25992]
4. 4 [Option ID = 25990]
Correct Answer :-
2 [Option ID = 25989]
[Question ID = 13983]
1. [Option ID = 25931]
2. [Option ID = 25932]
3. [Option ID = 25929]
4. [Option ID = 25930]
Correct Answer :-
[Option ID = 25929]
[Question ID = 14005]
1. [Option ID = 26018]
2. [Option ID = 26019]
3. [Option ID = 26020]
4. [Option ID = 26017]
Correct Answer :-
[Option ID = 26017]
[Question ID = 13976]
33)
34)
35)
1. [Option ID = 25902]
2.
[Option ID = 25903]
3. [Option ID = 25904]
4.
[Option ID = 25901]
Correct Answer :-
[Option ID = 25901]
[Question ID = 13993]
1. dimension of kernel of D is 2. [Option ID = 25969]
2. dimension of kernel of D is 4. [Option ID = 25970]
3. range of D = V . [Option ID = 25972]
4. range of D is a ?nite dimensional space [Option ID = 25971]
Correct Answer :-
dimension of kernel of D is 2. [Option ID = 25969]
[Question ID = 14000]
1. [Option ID = 25998]
2. [Option ID = 26000]
3. [Option ID = 25997]
4. [Option ID = 25999]
Correct Answer :-
[Option ID = 25997]
36)
37)
[Question ID = 14006]
1. [Option ID = 26023]
2. [Option ID = 26022]
3. [Option ID = 26024]
4. [Option ID = 26021]
Correct Answer :-
[Option ID = 26021]
[Question ID = 13972]
1. continuous, one-one but not onto. [Option ID = 25886]
2. not a continuous map. [Option ID = 25885]
3. a continuous bijection but not an open map. [Option ID = 25887]
4. a homeomorphism. [Option ID = 25888]
Correct Answer :-
not a continuous map. [Option ID = 25885]
[Question ID = 13990]
1.
[Option ID = 25959]
2. [Option
ID = 25958]
3. [Option ID =
25957]
4.
[Option ID = 25960]
Correct Answer :-
38)
39)
40)
[Option ID =
25957]
[Question ID = 13992]
1. [Option ID = 25967]
2. [Option ID = 25966]
3. [Option ID = 25965]
4. [Option ID = 25968]
Correct Answer :-
[Option ID = 25965]
[Question ID = 14004]
1. [Option ID = 26015]
2. [Option ID = 26014]
3. [Option ID = 26013]
4. [Option ID = 26016]
Correct Answer :-
[Option ID = 26013]
[Question ID = 13980]
41)
42)
43)
1. [Option ID = 25918]
2. [Option ID = 25917]
3. [Option ID = 25919]
4. [Option ID = 25920]
Correct Answer :-
[Option ID = 25917]
[Question ID = 13971]
1. [Option ID = 25882]
2. [Option ID = 25884]
3. [Option ID = 25881]
4. [Option ID = 25883]
Correct Answer :-
[Option ID = 25881]
[Question ID = 13999]
1. G is a cyclic group under composition. [Option ID = 25994]
2. G is a non-cyclic group under composition. [Option ID = 25995]
3. G does not form a group under composition. [Option ID = 25993]
4. G is a non-abelian group under composition. [Option ID = 25996]
Correct Answer :-
G does not form a group under composition. [Option ID = 25993]

FirstRanker.com - FirstRanker's Choice
1)
2)
3)
4)
DU MPhil Phd in Mathemacs
Topic:- DU_J19_MPHIL_MATHS
Which of the following journals is published by Indian Mathematical Society
[Question ID = 13918]
1. Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
2. Indian Journal of Mathematics. [Option ID = 25671]
3. Ramanujan Journal of Mathematics. [Option ID = 25670]
4. The Mathematics Students . [Option ID = 25672]
Correct Answer :-
Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
Name a Fellow of Royal Society who expired in 2019 [Question ID = 13917]
1. M. S. Ragunathan. [Option ID = 25665]
2. Manjul Bhargava. [Option ID = 25666]
3. Michael Atiyah. [Option ID = 25667]
4. S. R. Srinivasa Varadhan. [Option ID = 25668]
Correct Answer :-
M. S. Ragunathan. [Option ID = 25665]
Which of the following statements is true? [Question ID = 13973]
1.
[Option ID = 25890]
2.
[Option ID = 25891]
3.
[Option ID = 25889]
4. [Option ID = 25892]
Correct Answer :-
[Option ID = 25889]
Which of the following statements is true for topological spaces? [Question ID = 13927]
1. Every second countable space is separable. [Option ID = 25706]
5)
6)
7)
2. Every separable space is second countable. [Option ID = 25705]
3. Every ?rst countable space is second countable. [Option ID = 25708]
4. Every ?rst countable space is separable. [Option ID = 25707]
Correct Answer :-
Every separable space is second countable. [Option ID = 25705]
Which of the following statements is not true? [Question ID = 13997]
1.
[Option ID = 25987]
2.
[Option ID = 25986]
3.
[Option ID = 25985]
4.
[Option ID = 25988]
Correct Answer :-
[Option ID = 25985]
Which one of the following fellowship is based on merit in M.A/M.Sc. of the University [Question ID
= 13920]
1. NBHM-JRF. [Option ID = 25679]
2. INSPIRE-JRF [Option ID = 25677]
3. UGC-JRF. [Option ID = 25680]
4. CSIR-JRF [Option ID = 25678]
Correct Answer :-
INSPIRE-JRF [Option ID = 25677]
The Abel prize 2019 was awarded to [Question ID = 13919]
1. Lennert Carleson. [Option ID = 25673]
2. Mikhail Gromov. [Option ID = 25676]
3. Karen Keskulla Uhlenbeck. [Option ID = 25674]
4. Peter Lax. [Option ID = 25675]
Correct Answer :-
Lennert Carleson. [Option ID = 25673]
8)
9)
10)
[Question ID = 13981]
1. [Option ID = 25922]
2. [Option ID = 25921]
3. [Option ID = 25924]
4. [Option ID = 25923]
Correct Answer :-
[Option ID = 25921]
[Question ID = 13968]
1. [Option ID = 25869]
2. [Option ID = 25871]
3. [Option ID = 25870]
4. [Option ID = 25872]
Correct Answer :-
[Option ID = 25869]
[Question ID = 13988]
1. [Option ID = 25951]
2. [Option ID = 25949]
3. [Option ID = 25952]
4. [Option ID = 25950]
Correct Answer :-
11)
12)
13)
[Option ID = 25949]
[Question ID = 14009]
1. cosec(y/x) = c/x. [Option ID = 26036]
2. cosec(y/x) = cx. [Option ID = 26035]
3. sec(y/x) = cx. [Option ID = 26033]
4. sec(y/x) = c/x. [Option ID = 26034]
Correct Answer :-
sec(y/x) = cx. [Option ID = 26033]
[Question ID = 14008]
1. [Option ID = 26029]
2. [Option ID = 26032]
3. [Option ID = 26031]
4. [Option ID = 26030]
Correct Answer :-
[Option ID = 26029]
[Question ID = 13979]
1. [Option ID = 25916]
2. [Option ID = 25913]
3. [Option ID = 25915]
4. [Option ID = 25914]
14)
15)
16)
17)
Correct Answer :-
[Option ID = 25913]
[Question ID = 13995]
1. 2x + y + z = 0. [Option ID = 25979]
2. x + 2y + z = 0. [Option ID = 25978]
3. x + y + z = 0. [Option ID = 25980]
4. x + y + 2z = 0. [Option ID = 25977]
Correct Answer :-
x + y + 2z = 0. [Option ID = 25977]
[Question ID = 14007]
1. [Option ID = 26027]
2. [Option ID = 26028]
3. [Option ID = 26026]
4. [Option ID = 26025]
Correct Answer :-
[Option ID = 26025]
[Question ID = 13969]
1. 1/15 [Option ID = 25876]
2. 2 [Option ID = 25875]
3. 1/10 [Option ID = 25874]
4. 1/5 [Option ID = 25873]
Correct Answer :-
1/5 [Option ID = 25873]
18)
19)
[Question ID = 13994]
1. lines parallel to z-axis. [Option ID = 25975]
2. lines perpendicular to z-axis. [Option ID = 25976]
3. planes perpendicular to xz- plane. [Option ID = 25973]
4. planes parallel to yz- plane. [Option ID = 25974]
Correct Answer :-
planes perpendicular to xz- plane. [Option ID = 25973]
[Question ID = 14001]
1. Neither (I) nor (II) is correct. [Option ID = 26004]
2. Both (I) and (II) are correct. [Option ID = 26003]
3. Only (I) is correct. [Option ID = 26001]
4. Only (II) is correct. [Option ID = 26002]
Correct Answer :-
Only (I) is correct. [Option ID = 26001]
[Question ID = 13970]
1. [Option ID = 25877]
2. [Option ID = 25879]
3. [Option ID = 25878]
4. [Option ID = 25880]
Correct Answer :-
20)
21)
22)
[Option ID = 25877]
[Question ID = 13984]
1. 2 ?. [Option ID = 25935]
2. 0 [Option ID = 25933]
3. ?/2. [Option ID = 25934]
4. ?. [Option ID = 25936]
Correct Answer :-
0 [Option ID = 25933]
[Question ID = 13974]
1. [Option ID = 25895]
2. [Option ID = 25893]
3. [Option
ID = 25896]
4. [Option ID =
25894]
Correct Answer :-
[Option ID = 25893]
[Question ID = 13975]
1. [Option ID = 25899]
2. [Option ID = 25897]
3. [Option ID = 25900]
4. [Option ID = 25898]
Correct Answer :-
[Option ID = 25897]
23)
24)
25)
26)
[Question ID = 13986]
1. 0 < ? < 1, ? = 1 [Option ID = 25942]
2. ? = 0, ? = ?. [Option ID = 25943]
3. ? = ? = 0. [Option ID = 25941]
4. ? = 0, ? = 2. [Option ID = 25944]
Correct Answer :-
? = ? = 0. [Option ID = 25941]
[Question ID = 13985]
1. [?1, 1]. [Option ID = 25938]
2. [0, 1]. [Option ID = 25937]
3. {0}. [Option ID = 25939]
4. [?1, 0]. [Option ID = 25940]
Correct Answer :-
[0, 1]. [Option ID = 25937]
[Question ID = 14002]
1. All (I), (II) and (III) are true. [Option ID = 26007]
2. None of (I), (II)and (III) is true. [Option ID = 26008]
3. Only (I) is true. [Option ID = 26005]
4. Only (I) and (II) are true. [Option ID = 26006]
Correct Answer :-
Only (I) is true. [Option ID = 26005]
27)
28)
29)
[Question ID = 13991]
1. 2 [Option ID = 25963]
2. 1 [Option ID = 25964]
3. 3 [Option ID = 25962]
4. in?nity. [Option ID = 25961]
Correct Answer :-
in?nity. [Option ID = 25961]
[Question ID = 13982]
1. (I) is true but (II) is false. [Option ID = 25925]
2. (I) is false but (II) is true. [Option ID = 25926]
3. Neither (I) nor (II) is true. [Option ID = 25927]
4. Both (I) and (II) are true. [Option ID = 25928]
Correct Answer :-
(I) is true but (II) is false. [Option ID = 25925]
[Question ID = 13978]
1. [Option ID = 25911]
2. [Option ID = 25912]
3. [Option ID = 25909]
4. [Option ID = 25910]
Correct Answer :-
[Option ID = 25909]
[Question ID = 13998]
30)
31)
32)
1. 2 [Option ID = 25989]
2. 5 [Option ID = 25991]
3. 8 [Option ID = 25992]
4. 4 [Option ID = 25990]
Correct Answer :-
2 [Option ID = 25989]
[Question ID = 13983]
1. [Option ID = 25931]
2. [Option ID = 25932]
3. [Option ID = 25929]
4. [Option ID = 25930]
Correct Answer :-
[Option ID = 25929]
[Question ID = 14005]
1. [Option ID = 26018]
2. [Option ID = 26019]
3. [Option ID = 26020]
4. [Option ID = 26017]
Correct Answer :-
[Option ID = 26017]
[Question ID = 13976]
33)
34)
35)
1. [Option ID = 25902]
2.
[Option ID = 25903]
3. [Option ID = 25904]
4.
[Option ID = 25901]
Correct Answer :-
[Option ID = 25901]
[Question ID = 13993]
1. dimension of kernel of D is 2. [Option ID = 25969]
2. dimension of kernel of D is 4. [Option ID = 25970]
3. range of D = V . [Option ID = 25972]
4. range of D is a ?nite dimensional space [Option ID = 25971]
Correct Answer :-
dimension of kernel of D is 2. [Option ID = 25969]
[Question ID = 14000]
1. [Option ID = 25998]
2. [Option ID = 26000]
3. [Option ID = 25997]
4. [Option ID = 25999]
Correct Answer :-
[Option ID = 25997]
36)
37)
[Question ID = 14006]
1. [Option ID = 26023]
2. [Option ID = 26022]
3. [Option ID = 26024]
4. [Option ID = 26021]
Correct Answer :-
[Option ID = 26021]
[Question ID = 13972]
1. continuous, one-one but not onto. [Option ID = 25886]
2. not a continuous map. [Option ID = 25885]
3. a continuous bijection but not an open map. [Option ID = 25887]
4. a homeomorphism. [Option ID = 25888]
Correct Answer :-
not a continuous map. [Option ID = 25885]
[Question ID = 13990]
1.
[Option ID = 25959]
2. [Option
ID = 25958]
3. [Option ID =
25957]
4.
[Option ID = 25960]
Correct Answer :-
38)
39)
40)
[Option ID =
25957]
[Question ID = 13992]
1. [Option ID = 25967]
2. [Option ID = 25966]
3. [Option ID = 25965]
4. [Option ID = 25968]
Correct Answer :-
[Option ID = 25965]
[Question ID = 14004]
1. [Option ID = 26015]
2. [Option ID = 26014]
3. [Option ID = 26013]
4. [Option ID = 26016]
Correct Answer :-
[Option ID = 26013]
[Question ID = 13980]
41)
42)
43)
1. [Option ID = 25918]
2. [Option ID = 25917]
3. [Option ID = 25919]
4. [Option ID = 25920]
Correct Answer :-
[Option ID = 25917]
[Question ID = 13971]
1. [Option ID = 25882]
2. [Option ID = 25884]
3. [Option ID = 25881]
4. [Option ID = 25883]
Correct Answer :-
[Option ID = 25881]
[Question ID = 13999]
1. G is a cyclic group under composition. [Option ID = 25994]
2. G is a non-cyclic group under composition. [Option ID = 25995]
3. G does not form a group under composition. [Option ID = 25993]
4. G is a non-abelian group under composition. [Option ID = 25996]
Correct Answer :-
G does not form a group under composition. [Option ID = 25993]
44)
45)
46)
[Question ID = 13989]
1. [Option ID = 25954]
2. [Option ID = 25956]
3. [Option ID = 25953]
4. [Option ID = 25955]
Correct Answer :-
[Option ID = 25953]
[Question ID = 14003]
1. Only (III) and (IV) are true. [Option ID = 26012]
2. Only (I) and (II) are true. [Option ID = 26009]
3. Only (II) and (III) are true. [Option ID = 26011]
4. Only (I) and (IV) are true. [Option ID = 26010]
Correct Answer :-
Only (I) and (II) are true. [Option ID = 26009]
[Question ID = 13967]
1. 0 [Option ID = 25866]
2. 1/3 [Option ID = 25867]
3. 1/2 [Option ID = 25868]
4. 1 [Option ID = 25865]
Correct Answer :-
1 [Option ID = 25865]
[Question ID = 13987]

FirstRanker.com - FirstRanker's Choice
1)
2)
3)
4)
DU MPhil Phd in Mathemacs
Topic:- DU_J19_MPHIL_MATHS
Which of the following journals is published by Indian Mathematical Society
[Question ID = 13918]
1. Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
2. Indian Journal of Mathematics. [Option ID = 25671]
3. Ramanujan Journal of Mathematics. [Option ID = 25670]
4. The Mathematics Students . [Option ID = 25672]
Correct Answer :-
Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
Name a Fellow of Royal Society who expired in 2019 [Question ID = 13917]
1. M. S. Ragunathan. [Option ID = 25665]
2. Manjul Bhargava. [Option ID = 25666]
3. Michael Atiyah. [Option ID = 25667]
4. S. R. Srinivasa Varadhan. [Option ID = 25668]
Correct Answer :-
M. S. Ragunathan. [Option ID = 25665]
Which of the following statements is true? [Question ID = 13973]
1.
[Option ID = 25890]
2.
[Option ID = 25891]
3.
[Option ID = 25889]
4. [Option ID = 25892]
Correct Answer :-
[Option ID = 25889]
Which of the following statements is true for topological spaces? [Question ID = 13927]
1. Every second countable space is separable. [Option ID = 25706]
5)
6)
7)
2. Every separable space is second countable. [Option ID = 25705]
3. Every ?rst countable space is second countable. [Option ID = 25708]
4. Every ?rst countable space is separable. [Option ID = 25707]
Correct Answer :-
Every separable space is second countable. [Option ID = 25705]
Which of the following statements is not true? [Question ID = 13997]
1.
[Option ID = 25987]
2.
[Option ID = 25986]
3.
[Option ID = 25985]
4.
[Option ID = 25988]
Correct Answer :-
[Option ID = 25985]
Which one of the following fellowship is based on merit in M.A/M.Sc. of the University [Question ID
= 13920]
1. NBHM-JRF. [Option ID = 25679]
2. INSPIRE-JRF [Option ID = 25677]
3. UGC-JRF. [Option ID = 25680]
4. CSIR-JRF [Option ID = 25678]
Correct Answer :-
INSPIRE-JRF [Option ID = 25677]
The Abel prize 2019 was awarded to [Question ID = 13919]
1. Lennert Carleson. [Option ID = 25673]
2. Mikhail Gromov. [Option ID = 25676]
3. Karen Keskulla Uhlenbeck. [Option ID = 25674]
4. Peter Lax. [Option ID = 25675]
Correct Answer :-
Lennert Carleson. [Option ID = 25673]
8)
9)
10)
[Question ID = 13981]
1. [Option ID = 25922]
2. [Option ID = 25921]
3. [Option ID = 25924]
4. [Option ID = 25923]
Correct Answer :-
[Option ID = 25921]
[Question ID = 13968]
1. [Option ID = 25869]
2. [Option ID = 25871]
3. [Option ID = 25870]
4. [Option ID = 25872]
Correct Answer :-
[Option ID = 25869]
[Question ID = 13988]
1. [Option ID = 25951]
2. [Option ID = 25949]
3. [Option ID = 25952]
4. [Option ID = 25950]
Correct Answer :-
11)
12)
13)
[Option ID = 25949]
[Question ID = 14009]
1. cosec(y/x) = c/x. [Option ID = 26036]
2. cosec(y/x) = cx. [Option ID = 26035]
3. sec(y/x) = cx. [Option ID = 26033]
4. sec(y/x) = c/x. [Option ID = 26034]
Correct Answer :-
sec(y/x) = cx. [Option ID = 26033]
[Question ID = 14008]
1. [Option ID = 26029]
2. [Option ID = 26032]
3. [Option ID = 26031]
4. [Option ID = 26030]
Correct Answer :-
[Option ID = 26029]
[Question ID = 13979]
1. [Option ID = 25916]
2. [Option ID = 25913]
3. [Option ID = 25915]
4. [Option ID = 25914]
14)
15)
16)
17)
Correct Answer :-
[Option ID = 25913]
[Question ID = 13995]
1. 2x + y + z = 0. [Option ID = 25979]
2. x + 2y + z = 0. [Option ID = 25978]
3. x + y + z = 0. [Option ID = 25980]
4. x + y + 2z = 0. [Option ID = 25977]
Correct Answer :-
x + y + 2z = 0. [Option ID = 25977]
[Question ID = 14007]
1. [Option ID = 26027]
2. [Option ID = 26028]
3. [Option ID = 26026]
4. [Option ID = 26025]
Correct Answer :-
[Option ID = 26025]
[Question ID = 13969]
1. 1/15 [Option ID = 25876]
2. 2 [Option ID = 25875]
3. 1/10 [Option ID = 25874]
4. 1/5 [Option ID = 25873]
Correct Answer :-
1/5 [Option ID = 25873]
18)
19)
[Question ID = 13994]
1. lines parallel to z-axis. [Option ID = 25975]
2. lines perpendicular to z-axis. [Option ID = 25976]
3. planes perpendicular to xz- plane. [Option ID = 25973]
4. planes parallel to yz- plane. [Option ID = 25974]
Correct Answer :-
planes perpendicular to xz- plane. [Option ID = 25973]
[Question ID = 14001]
1. Neither (I) nor (II) is correct. [Option ID = 26004]
2. Both (I) and (II) are correct. [Option ID = 26003]
3. Only (I) is correct. [Option ID = 26001]
4. Only (II) is correct. [Option ID = 26002]
Correct Answer :-
Only (I) is correct. [Option ID = 26001]
[Question ID = 13970]
1. [Option ID = 25877]
2. [Option ID = 25879]
3. [Option ID = 25878]
4. [Option ID = 25880]
Correct Answer :-
20)
21)
22)
[Option ID = 25877]
[Question ID = 13984]
1. 2 ?. [Option ID = 25935]
2. 0 [Option ID = 25933]
3. ?/2. [Option ID = 25934]
4. ?. [Option ID = 25936]
Correct Answer :-
0 [Option ID = 25933]
[Question ID = 13974]
1. [Option ID = 25895]
2. [Option ID = 25893]
3. [Option
ID = 25896]
4. [Option ID =
25894]
Correct Answer :-
[Option ID = 25893]
[Question ID = 13975]
1. [Option ID = 25899]
2. [Option ID = 25897]
3. [Option ID = 25900]
4. [Option ID = 25898]
Correct Answer :-
[Option ID = 25897]
23)
24)
25)
26)
[Question ID = 13986]
1. 0 < ? < 1, ? = 1 [Option ID = 25942]
2. ? = 0, ? = ?. [Option ID = 25943]
3. ? = ? = 0. [Option ID = 25941]
4. ? = 0, ? = 2. [Option ID = 25944]
Correct Answer :-
? = ? = 0. [Option ID = 25941]
[Question ID = 13985]
1. [?1, 1]. [Option ID = 25938]
2. [0, 1]. [Option ID = 25937]
3. {0}. [Option ID = 25939]
4. [?1, 0]. [Option ID = 25940]
Correct Answer :-
[0, 1]. [Option ID = 25937]
[Question ID = 14002]
1. All (I), (II) and (III) are true. [Option ID = 26007]
2. None of (I), (II)and (III) is true. [Option ID = 26008]
3. Only (I) is true. [Option ID = 26005]
4. Only (I) and (II) are true. [Option ID = 26006]
Correct Answer :-
Only (I) is true. [Option ID = 26005]
27)
28)
29)
[Question ID = 13991]
1. 2 [Option ID = 25963]
2. 1 [Option ID = 25964]
3. 3 [Option ID = 25962]
4. in?nity. [Option ID = 25961]
Correct Answer :-
in?nity. [Option ID = 25961]
[Question ID = 13982]
1. (I) is true but (II) is false. [Option ID = 25925]
2. (I) is false but (II) is true. [Option ID = 25926]
3. Neither (I) nor (II) is true. [Option ID = 25927]
4. Both (I) and (II) are true. [Option ID = 25928]
Correct Answer :-
(I) is true but (II) is false. [Option ID = 25925]
[Question ID = 13978]
1. [Option ID = 25911]
2. [Option ID = 25912]
3. [Option ID = 25909]
4. [Option ID = 25910]
Correct Answer :-
[Option ID = 25909]
[Question ID = 13998]
30)
31)
32)
1. 2 [Option ID = 25989]
2. 5 [Option ID = 25991]
3. 8 [Option ID = 25992]
4. 4 [Option ID = 25990]
Correct Answer :-
2 [Option ID = 25989]
[Question ID = 13983]
1. [Option ID = 25931]
2. [Option ID = 25932]
3. [Option ID = 25929]
4. [Option ID = 25930]
Correct Answer :-
[Option ID = 25929]
[Question ID = 14005]
1. [Option ID = 26018]
2. [Option ID = 26019]
3. [Option ID = 26020]
4. [Option ID = 26017]
Correct Answer :-
[Option ID = 26017]
[Question ID = 13976]
33)
34)
35)
1. [Option ID = 25902]
2.
[Option ID = 25903]
3. [Option ID = 25904]
4.
[Option ID = 25901]
Correct Answer :-
[Option ID = 25901]
[Question ID = 13993]
1. dimension of kernel of D is 2. [Option ID = 25969]
2. dimension of kernel of D is 4. [Option ID = 25970]
3. range of D = V . [Option ID = 25972]
4. range of D is a ?nite dimensional space [Option ID = 25971]
Correct Answer :-
dimension of kernel of D is 2. [Option ID = 25969]
[Question ID = 14000]
1. [Option ID = 25998]
2. [Option ID = 26000]
3. [Option ID = 25997]
4. [Option ID = 25999]
Correct Answer :-
[Option ID = 25997]
36)
37)
[Question ID = 14006]
1. [Option ID = 26023]
2. [Option ID = 26022]
3. [Option ID = 26024]
4. [Option ID = 26021]
Correct Answer :-
[Option ID = 26021]
[Question ID = 13972]
1. continuous, one-one but not onto. [Option ID = 25886]
2. not a continuous map. [Option ID = 25885]
3. a continuous bijection but not an open map. [Option ID = 25887]
4. a homeomorphism. [Option ID = 25888]
Correct Answer :-
not a continuous map. [Option ID = 25885]
[Question ID = 13990]
1.
[Option ID = 25959]
2. [Option
ID = 25958]
3. [Option ID =
25957]
4.
[Option ID = 25960]
Correct Answer :-
38)
39)
40)
[Option ID =
25957]
[Question ID = 13992]
1. [Option ID = 25967]
2. [Option ID = 25966]
3. [Option ID = 25965]
4. [Option ID = 25968]
Correct Answer :-
[Option ID = 25965]
[Question ID = 14004]
1. [Option ID = 26015]
2. [Option ID = 26014]
3. [Option ID = 26013]
4. [Option ID = 26016]
Correct Answer :-
[Option ID = 26013]
[Question ID = 13980]
41)
42)
43)
1. [Option ID = 25918]
2. [Option ID = 25917]
3. [Option ID = 25919]
4. [Option ID = 25920]
Correct Answer :-
[Option ID = 25917]
[Question ID = 13971]
1. [Option ID = 25882]
2. [Option ID = 25884]
3. [Option ID = 25881]
4. [Option ID = 25883]
Correct Answer :-
[Option ID = 25881]
[Question ID = 13999]
1. G is a cyclic group under composition. [Option ID = 25994]
2. G is a non-cyclic group under composition. [Option ID = 25995]
3. G does not form a group under composition. [Option ID = 25993]
4. G is a non-abelian group under composition. [Option ID = 25996]
Correct Answer :-
G does not form a group under composition. [Option ID = 25993]
44)
45)
46)
[Question ID = 13989]
1. [Option ID = 25954]
2. [Option ID = 25956]
3. [Option ID = 25953]
4. [Option ID = 25955]
Correct Answer :-
[Option ID = 25953]
[Question ID = 14003]
1. Only (III) and (IV) are true. [Option ID = 26012]
2. Only (I) and (II) are true. [Option ID = 26009]
3. Only (II) and (III) are true. [Option ID = 26011]
4. Only (I) and (IV) are true. [Option ID = 26010]
Correct Answer :-
Only (I) and (II) are true. [Option ID = 26009]
[Question ID = 13967]
1. 0 [Option ID = 25866]
2. 1/3 [Option ID = 25867]
3. 1/2 [Option ID = 25868]
4. 1 [Option ID = 25865]
Correct Answer :-
1 [Option ID = 25865]
[Question ID = 13987]
47)
48)
49)
1. [Option ID = 25945]
2. [Option ID = 25947]
3. [Option ID = 25948]
4. [Option ID = 25946]
Correct Answer :-
[Option ID = 25945]
Which of the following statements is true? [Question ID = 13977]
1.
[Option ID = 25906]
2. [Option ID =
25907]
3.
[Option ID = 25905]
4. [Option ID =
25908]
Correct Answer :-
[Option ID = 25905]
Which one of the following statements is not true? [Question ID = 13966]
1.
[Option ID = 25861]
2. [Option ID
= 25864]
3. [Option ID =
25863]
4. [Option
ID = 25862]
Correct Answer :-
[Option ID = 25861]
Present President of the Ramanujan Mathematical Society is [Question ID = 13916]
1. V. Kumar Murty. [Option ID = 25664]

FirstRanker.com - FirstRanker's Choice
1)
2)
3)
4)
DU MPhil Phd in Mathemacs
Topic:- DU_J19_MPHIL_MATHS
Which of the following journals is published by Indian Mathematical Society
[Question ID = 13918]
1. Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
2. Indian Journal of Mathematics. [Option ID = 25671]
3. Ramanujan Journal of Mathematics. [Option ID = 25670]
4. The Mathematics Students . [Option ID = 25672]
Correct Answer :-
Indian Journal of Pure and Applied Mathematics. [Option ID = 25669]
Name a Fellow of Royal Society who expired in 2019 [Question ID = 13917]
1. M. S. Ragunathan. [Option ID = 25665]
2. Manjul Bhargava. [Option ID = 25666]
3. Michael Atiyah. [Option ID = 25667]
4. S. R. Srinivasa Varadhan. [Option ID = 25668]
Correct Answer :-
M. S. Ragunathan. [Option ID = 25665]
Which of the following statements is true? [Question ID = 13973]
1.
[Option ID = 25890]
2.
[Option ID = 25891]
3.
[Option ID = 25889]
4. [Option ID = 25892]
Correct Answer :-
[Option ID = 25889]
Which of the following statements is true for topological spaces? [Question ID = 13927]
1. Every second countable space is separable. [Option ID = 25706]
5)
6)
7)
2. Every separable space is second countable. [Option ID = 25705]
3. Every ?rst countable space is second countable. [Option ID = 25708]
4. Every ?rst countable space is separable. [Option ID = 25707]
Correct Answer :-
Every separable space is second countable. [Option ID = 25705]
Which of the following statements is not true? [Question ID = 13997]
1.
[Option ID = 25987]
2.
[Option ID = 25986]
3.
[Option ID = 25985]
4.
[Option ID = 25988]
Correct Answer :-
[Option ID = 25985]
Which one of the following fellowship is based on merit in M.A/M.Sc. of the University [Question ID
= 13920]
1. NBHM-JRF. [Option ID = 25679]
2. INSPIRE-JRF [Option ID = 25677]
3. UGC-JRF. [Option ID = 25680]
4. CSIR-JRF [Option ID = 25678]
Correct Answer :-
INSPIRE-JRF [Option ID = 25677]
The Abel prize 2019 was awarded to [Question ID = 13919]
1. Lennert Carleson. [Option ID = 25673]
2. Mikhail Gromov. [Option ID = 25676]
3. Karen Keskulla Uhlenbeck. [Option ID = 25674]
4. Peter Lax. [Option ID = 25675]
Correct Answer :-
Lennert Carleson. [Option ID = 25673]
8)
9)
10)
[Question ID = 13981]
1. [Option ID = 25922]
2. [Option ID = 25921]
3. [Option ID = 25924]
4. [Option ID = 25923]
Correct Answer :-
[Option ID = 25921]
[Question ID = 13968]
1. [Option ID = 25869]
2. [Option ID = 25871]
3. [Option ID = 25870]
4. [Option ID = 25872]
Correct Answer :-
[Option ID = 25869]
[Question ID = 13988]
1. [Option ID = 25951]
2. [Option ID = 25949]
3. [Option ID = 25952]
4. [Option ID = 25950]
Correct Answer :-
11)
12)
13)
[Option ID = 25949]
[Question ID = 14009]
1. cosec(y/x) = c/x. [Option ID = 26036]
2. cosec(y/x) = cx. [Option ID = 26035]
3. sec(y/x) = cx. [Option ID = 26033]
4. sec(y/x) = c/x. [Option ID = 26034]
Correct Answer :-
sec(y/x) = cx. [Option ID = 26033]
[Question ID = 14008]
1. [Option ID = 26029]
2. [Option ID = 26032]
3. [Option ID = 26031]
4. [Option ID = 26030]
Correct Answer :-
[Option ID = 26029]
[Question ID = 13979]
1. [Option ID = 25916]
2. [Option ID = 25913]
3. [Option ID = 25915]
4. [Option ID = 25914]
14)
15)
16)
17)
Correct Answer :-
[Option ID = 25913]
[Question ID = 13995]
1. 2x + y + z = 0. [Option ID = 25979]
2. x + 2y + z = 0. [Option ID = 25978]
3. x + y + z = 0. [Option ID = 25980]
4. x + y + 2z = 0. [Option ID = 25977]
Correct Answer :-
x + y + 2z = 0. [Option ID = 25977]
[Question ID = 14007]
1. [Option ID = 26027]
2. [Option ID = 26028]
3. [Option ID = 26026]
4. [Option ID = 26025]
Correct Answer :-
[Option ID = 26025]
[Question ID = 13969]
1. 1/15 [Option ID = 25876]
2. 2 [Option ID = 25875]
3. 1/10 [Option ID = 25874]
4. 1/5 [Option ID = 25873]
Correct Answer :-
1/5 [Option ID = 25873]
18)
19)
[Question ID = 13994]
1. lines parallel to z-axis. [Option ID = 25975]
2. lines perpendicular to z-axis. [Option ID = 25976]
3. planes perpendicular to xz- plane. [Option ID = 25973]
4. planes parallel to yz- plane. [Option ID = 25974]
Correct Answer :-
planes perpendicular to xz- plane. [Option ID = 25973]
[Question ID = 14001]
1. Neither (I) nor (II) is correct. [Option ID = 26004]
2. Both (I) and (II) are correct. [Option ID = 26003]
3. Only (I) is correct. [Option ID = 26001]
4. Only (II) is correct. [Option ID = 26002]
Correct Answer :-
Only (I) is correct. [Option ID = 26001]
[Question ID = 13970]
1. [Option ID = 25877]
2. [Option ID = 25879]
3. [Option ID = 25878]
4. [Option ID = 25880]
Correct Answer :-
20)
21)
22)
[Option ID = 25877]
[Question ID = 13984]
1. 2 ?. [Option ID = 25935]
2. 0 [Option ID = 25933]
3. ?/2. [Option ID = 25934]
4. ?. [Option ID = 25936]
Correct Answer :-
0 [Option ID = 25933]
[Question ID = 13974]
1. [Option ID = 25895]
2. [Option ID = 25893]
3. [Option
ID = 25896]
4. [Option ID =
25894]
Correct Answer :-
[Option ID = 25893]
[Question ID = 13975]
1. [Option ID = 25899]
2. [Option ID = 25897]
3. [Option ID = 25900]
4. [Option ID = 25898]
Correct Answer :-
[Option ID = 25897]
23)
24)
25)
26)
[Question ID = 13986]
1. 0 < ? < 1, ? = 1 [Option ID = 25942]
2. ? = 0, ? = ?. [Option ID = 25943]
3. ? = ? = 0. [Option ID = 25941]
4. ? = 0, ? = 2. [Option ID = 25944]
Correct Answer :-
? = ? = 0. [Option ID = 25941]
[Question ID = 13985]
1. [?1, 1]. [Option ID = 25938]
2. [0, 1]. [Option ID = 25937]
3. {0}. [Option ID = 25939]
4. [?1, 0]. [Option ID = 25940]
Correct Answer :-
[0, 1]. [Option ID = 25937]
[Question ID = 14002]
1. All (I), (II) and (III) are true. [Option ID = 26007]
2. None of (I), (II)and (III) is true. [Option ID = 26008]
3. Only (I) is true. [Option ID = 26005]
4. Only (I) and (II) are true. [Option ID = 26006]
Correct Answer :-
Only (I) is true. [Option ID = 26005]
27)
28)
29)
[Question ID = 13991]
1. 2 [Option ID = 25963]
2. 1 [Option ID = 25964]
3. 3 [Option ID = 25962]
4. in?nity. [Option ID = 25961]
Correct Answer :-
in?nity. [Option ID = 25961]
[Question ID = 13982]
1. (I) is true but (II) is false. [Option ID = 25925]
2. (I) is false but (II) is true. [Option ID = 25926]
3. Neither (I) nor (II) is true. [Option ID = 25927]
4. Both (I) and (II) are true. [Option ID = 25928]
Correct Answer :-
(I) is true but (II) is false. [Option ID = 25925]
[Question ID = 13978]
1. [Option ID = 25911]
2. [Option ID = 25912]
3. [Option ID = 25909]
4. [Option ID = 25910]
Correct Answer :-
[Option ID = 25909]
[Question ID = 13998]
30)
31)
32)
1. 2 [Option ID = 25989]
2. 5 [Option ID = 25991]
3. 8 [Option ID = 25992]
4. 4 [Option ID = 25990]
Correct Answer :-
2 [Option ID = 25989]
[Question ID = 13983]
1. [Option ID = 25931]
2. [Option ID = 25932]
3. [Option ID = 25929]
4. [Option ID = 25930]
Correct Answer :-
[Option ID = 25929]
[Question ID = 14005]
1. [Option ID = 26018]
2. [Option ID = 26019]
3. [Option ID = 26020]
4. [Option ID = 26017]
Correct Answer :-
[Option ID = 26017]
[Question ID = 13976]
33)
34)
35)
1. [Option ID = 25902]
2.
[Option ID = 25903]
3. [Option ID = 25904]
4.
[Option ID = 25901]
Correct Answer :-
[Option ID = 25901]
[Question ID = 13993]
1. dimension of kernel of D is 2. [Option ID = 25969]
2. dimension of kernel of D is 4. [Option ID = 25970]
3. range of D = V . [Option ID = 25972]
4. range of D is a ?nite dimensional space [Option ID = 25971]
Correct Answer :-
dimension of kernel of D is 2. [Option ID = 25969]
[Question ID = 14000]
1. [Option ID = 25998]
2. [Option ID = 26000]
3. [Option ID = 25997]
4. [Option ID = 25999]
Correct Answer :-
[Option ID = 25997]
36)
37)
[Question ID = 14006]
1. [Option ID = 26023]
2. [Option ID = 26022]
3. [Option ID = 26024]
4. [Option ID = 26021]
Correct Answer :-
[Option ID = 26021]
[Question ID = 13972]
1. continuous, one-one but not onto. [Option ID = 25886]
2. not a continuous map. [Option ID = 25885]
3. a continuous bijection but not an open map. [Option ID = 25887]
4. a homeomorphism. [Option ID = 25888]
Correct Answer :-
not a continuous map. [Option ID = 25885]
[Question ID = 13990]
1.
[Option ID = 25959]
2. [Option
ID = 25958]
3. [Option ID =
25957]
4.
[Option ID = 25960]
Correct Answer :-
38)
39)
40)
[Option ID =
25957]
[Question ID = 13992]
1. [Option ID = 25967]
2. [Option ID = 25966]
3. [Option ID = 25965]
4. [Option ID = 25968]
Correct Answer :-
[Option ID = 25965]
[Question ID = 14004]
1. [Option ID = 26015]
2. [Option ID = 26014]
3. [Option ID = 26013]
4. [Option ID = 26016]
Correct Answer :-
[Option ID = 26013]
[Question ID = 13980]
41)
42)
43)
1. [Option ID = 25918]
2. [Option ID = 25917]
3. [Option ID = 25919]
4. [Option ID = 25920]
Correct Answer :-
[Option ID = 25917]
[Question ID = 13971]
1. [Option ID = 25882]
2. [Option ID = 25884]
3. [Option ID = 25881]
4. [Option ID = 25883]
Correct Answer :-
[Option ID = 25881]
[Question ID = 13999]
1. G is a cyclic group under composition. [Option ID = 25994]
2. G is a non-cyclic group under composition. [Option ID = 25995]
3. G does not form a group under composition. [Option ID = 25993]
4. G is a non-abelian group under composition. [Option ID = 25996]
Correct Answer :-
G does not form a group under composition. [Option ID = 25993]
44)
45)
46)
[Question ID = 13989]
1. [Option ID = 25954]
2. [Option ID = 25956]
3. [Option ID = 25953]
4. [Option ID = 25955]
Correct Answer :-
[Option ID = 25953]
[Question ID = 14003]
1. Only (III) and (IV) are true. [Option ID = 26012]
2. Only (I) and (II) are true. [Option ID = 26009]
3. Only (II) and (III) are true. [Option ID = 26011]
4. Only (I) and (IV) are true. [Option ID = 26010]
Correct Answer :-
Only (I) and (II) are true. [Option ID = 26009]
[Question ID = 13967]
1. 0 [Option ID = 25866]
2. 1/3 [Option ID = 25867]
3. 1/2 [Option ID = 25868]
4. 1 [Option ID = 25865]
Correct Answer :-
1 [Option ID = 25865]
[Question ID = 13987]
47)
48)
49)
1. [Option ID = 25945]
2. [Option ID = 25947]
3. [Option ID = 25948]
4. [Option ID = 25946]
Correct Answer :-
[Option ID = 25945]
Which of the following statements is true? [Question ID = 13977]
1.
[Option ID = 25906]
2. [Option ID =
25907]
3.
[Option ID = 25905]
4. [Option ID =
25908]
Correct Answer :-
[Option ID = 25905]
Which one of the following statements is not true? [Question ID = 13966]
1.
[Option ID = 25861]
2. [Option ID
= 25864]
3. [Option ID =
25863]
4. [Option
ID = 25862]
Correct Answer :-
[Option ID = 25861]
Present President of the Ramanujan Mathematical Society is [Question ID = 13916]
1. V. Kumar Murty. [Option ID = 25664]
50)
2. Dinesh Singh [Option ID = 25661]
3. S. Ponnusamy [Option ID = 25662]
4. R. Balakrishnan. [Option ID = 25663]
Correct Answer :-
Dinesh Singh [Option ID = 25661]
The characteristic and the minimal polynomial are same for the matrix
[Question ID = 13996]
1. [Option ID = 25983]
2. [Option ID = 25982]
3. [Option ID = 25981]
4. All of the above matrices [Option ID = 25984]
Correct Answer :-
[Option ID = 25981]

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This post was last modified on 19 June 2020