Delhi University Entrance Test (DUET) 2019 MPhil PhD in Mathematics Previous Queston Papers
2)
3)
4)
DU MPhil Phd in Mathema cs
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 Mathema cs
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 Mathema cs
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 Mathema cs
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 Mathema cs
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 Mathema cs
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 Mathema cs
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 Mathema cs
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 Mathema cs
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 Mathema cs
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 Mathema cs
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 Mathema cs
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 Mathema cs
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 Mathema cs
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 Mathema cs
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 Mathema cs
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 Mathema cs
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