Download DUET (Delhi University Entrance Test conducted by the NTA) 2018 DU MPhil Phd in Mathematics Question Paper With Solution Key
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DU MPhil Phd in Mathematics
Topic:- DU_J18_MPHIL_MATHS_Topic01
The mathematician who was awarded Abel?s prize for a proof of Fermat?s Last Theorem is [Question ID = 19249]
1. Andrew Wiles. [Option ID = 46987]
2. Johan F. Nash. [Option ID = 46988]
3. S. R. Srinivasa Varadhan. [Option ID = 46989]
4. Lennart Carleson. [Option ID = 46990]
Correct Answer :-
Andrew Wiles. [Option ID = 46987]
Founder of Indian Mathematical Society(IMS) was [Question ID = 19252]
1. Asutosh Mukherjee. [Option ID = 47000]
2. S. Narayana Aiyer. [Option ID = 47001]
3. M.T. Narayaniyengar. [Option ID = 47002]
4. V. Ramaswamy Aiyer. [Option ID = 46999]
Correct Answer :-
V. Ramaswamy Aiyer. [Option ID = 46999]
Let R be a commutative ring with identity. If R is an Artinian domain, then the total number of prime ideals in R is [Question ID = 19280]
1. 1 [Option ID = 47111]
2. in?nite. [Option ID = 47114]
3. 3 [Option ID = 47113]
4. 2 [Option ID = 47112]
Correct Answer :-
1 [Option ID = 47111]
Riemann hypothesis is associated with the function [Question ID = 19250]
1. [Option ID = 46991]
2. [Option ID = 46992]
3. [Option ID = 46994]
4. [Option ID = 46993]
Correct Answer :-
[Option ID = 46993]
For the stream function of a two dimensional motion, which of the following is not true
[Question ID = 19297]
1. Stream function is constant along a stream line. [Option ID = 47181]
2. Stream function is harmonic. [Option ID = 47180]
3. Stream function exists for steady motion of compressible ?uid. [Option ID = 47179]
4. [Option ID = 47182]
Correct Answer :-
[Option ID = 47182]
The famous Indian mathematician Srinivas Ramanujan passed away in the year [Question ID = 19248]
1. 1920 [Option ID = 46984]
2. 1922 [Option ID = 46985]
3. 1921 [Option ID = 46983]
4. 1919 [Option ID = 46986]
Correct Answer :-
1920 [Option ID = 46984]
Let F be a ?nite ?eld with 9 elements. How many elements of F have order 8? [Question ID = 19287]
FirstRanker.com - FirstRanker's Choice
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DU MPhil Phd in Mathematics
Topic:- DU_J18_MPHIL_MATHS_Topic01
The mathematician who was awarded Abel?s prize for a proof of Fermat?s Last Theorem is [Question ID = 19249]
1. Andrew Wiles. [Option ID = 46987]
2. Johan F. Nash. [Option ID = 46988]
3. S. R. Srinivasa Varadhan. [Option ID = 46989]
4. Lennart Carleson. [Option ID = 46990]
Correct Answer :-
Andrew Wiles. [Option ID = 46987]
Founder of Indian Mathematical Society(IMS) was [Question ID = 19252]
1. Asutosh Mukherjee. [Option ID = 47000]
2. S. Narayana Aiyer. [Option ID = 47001]
3. M.T. Narayaniyengar. [Option ID = 47002]
4. V. Ramaswamy Aiyer. [Option ID = 46999]
Correct Answer :-
V. Ramaswamy Aiyer. [Option ID = 46999]
Let R be a commutative ring with identity. If R is an Artinian domain, then the total number of prime ideals in R is [Question ID = 19280]
1. 1 [Option ID = 47111]
2. in?nite. [Option ID = 47114]
3. 3 [Option ID = 47113]
4. 2 [Option ID = 47112]
Correct Answer :-
1 [Option ID = 47111]
Riemann hypothesis is associated with the function [Question ID = 19250]
1. [Option ID = 46991]
2. [Option ID = 46992]
3. [Option ID = 46994]
4. [Option ID = 46993]
Correct Answer :-
[Option ID = 46993]
For the stream function of a two dimensional motion, which of the following is not true
[Question ID = 19297]
1. Stream function is constant along a stream line. [Option ID = 47181]
2. Stream function is harmonic. [Option ID = 47180]
3. Stream function exists for steady motion of compressible ?uid. [Option ID = 47179]
4. [Option ID = 47182]
Correct Answer :-
[Option ID = 47182]
The famous Indian mathematician Srinivas Ramanujan passed away in the year [Question ID = 19248]
1. 1920 [Option ID = 46984]
2. 1922 [Option ID = 46985]
3. 1921 [Option ID = 46983]
4. 1919 [Option ID = 46986]
Correct Answer :-
1920 [Option ID = 46984]
Let F be a ?nite ?eld with 9 elements. How many elements of F have order 8? [Question ID = 19287]
8)
9)
10)
11)
1. 1 [Option ID = 47142]
2. 4 [Option ID = 47140]
3. 8 [Option ID = 47139]
4. 2 [Option ID = 47141]
Correct Answer :-
4 [Option ID = 47140]
[Question ID = 19293]
1. all of I, II and III are true. [Option ID = 47163]
2. only I and III are true. [Option ID = 47164]
3. only I and II are true. [Option ID = 47165]
4. only II and III are true. [Option ID = 47166]
Correct Answer :-
only I and III are true. [Option ID = 47164]
[Question ID = 19276]
1. III and IV only. [Option ID = 47096]
2. II and III only [Option ID = 47098]
3. I and IV only. [Option ID = 47097]
4. I and II only. [Option ID = 47095]
Correct Answer :-
I and IV only. [Option ID = 47097]
[Question ID = 19296]
1. only I, II, IV are true. [Option ID = 47175]
2. only I, III, IV are true. [Option ID = 47177]
3. only I, II, III are true. [Option ID = 47176]
4. only II, III, IV are true. [Option ID = 47178]
Correct Answer :-
only I, II, III are true. [Option ID = 47176]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
4)
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6)
7)
DU MPhil Phd in Mathematics
Topic:- DU_J18_MPHIL_MATHS_Topic01
The mathematician who was awarded Abel?s prize for a proof of Fermat?s Last Theorem is [Question ID = 19249]
1. Andrew Wiles. [Option ID = 46987]
2. Johan F. Nash. [Option ID = 46988]
3. S. R. Srinivasa Varadhan. [Option ID = 46989]
4. Lennart Carleson. [Option ID = 46990]
Correct Answer :-
Andrew Wiles. [Option ID = 46987]
Founder of Indian Mathematical Society(IMS) was [Question ID = 19252]
1. Asutosh Mukherjee. [Option ID = 47000]
2. S. Narayana Aiyer. [Option ID = 47001]
3. M.T. Narayaniyengar. [Option ID = 47002]
4. V. Ramaswamy Aiyer. [Option ID = 46999]
Correct Answer :-
V. Ramaswamy Aiyer. [Option ID = 46999]
Let R be a commutative ring with identity. If R is an Artinian domain, then the total number of prime ideals in R is [Question ID = 19280]
1. 1 [Option ID = 47111]
2. in?nite. [Option ID = 47114]
3. 3 [Option ID = 47113]
4. 2 [Option ID = 47112]
Correct Answer :-
1 [Option ID = 47111]
Riemann hypothesis is associated with the function [Question ID = 19250]
1. [Option ID = 46991]
2. [Option ID = 46992]
3. [Option ID = 46994]
4. [Option ID = 46993]
Correct Answer :-
[Option ID = 46993]
For the stream function of a two dimensional motion, which of the following is not true
[Question ID = 19297]
1. Stream function is constant along a stream line. [Option ID = 47181]
2. Stream function is harmonic. [Option ID = 47180]
3. Stream function exists for steady motion of compressible ?uid. [Option ID = 47179]
4. [Option ID = 47182]
Correct Answer :-
[Option ID = 47182]
The famous Indian mathematician Srinivas Ramanujan passed away in the year [Question ID = 19248]
1. 1920 [Option ID = 46984]
2. 1922 [Option ID = 46985]
3. 1921 [Option ID = 46983]
4. 1919 [Option ID = 46986]
Correct Answer :-
1920 [Option ID = 46984]
Let F be a ?nite ?eld with 9 elements. How many elements of F have order 8? [Question ID = 19287]
8)
9)
10)
11)
1. 1 [Option ID = 47142]
2. 4 [Option ID = 47140]
3. 8 [Option ID = 47139]
4. 2 [Option ID = 47141]
Correct Answer :-
4 [Option ID = 47140]
[Question ID = 19293]
1. all of I, II and III are true. [Option ID = 47163]
2. only I and III are true. [Option ID = 47164]
3. only I and II are true. [Option ID = 47165]
4. only II and III are true. [Option ID = 47166]
Correct Answer :-
only I and III are true. [Option ID = 47164]
[Question ID = 19276]
1. III and IV only. [Option ID = 47096]
2. II and III only [Option ID = 47098]
3. I and IV only. [Option ID = 47097]
4. I and II only. [Option ID = 47095]
Correct Answer :-
I and IV only. [Option ID = 47097]
[Question ID = 19296]
1. only I, II, IV are true. [Option ID = 47175]
2. only I, III, IV are true. [Option ID = 47177]
3. only I, II, III are true. [Option ID = 47176]
4. only II, III, IV are true. [Option ID = 47178]
Correct Answer :-
only I, II, III are true. [Option ID = 47176]
12)
13)
14)
15)
[Question ID = 19277]
1. exactly two units. [Option ID = 47099]
2. exactly eight units. [Option ID = 47101]
3. exactly four units. [Option ID = 47100]
4. in?nitely many units. [Option ID = 47102]
Correct Answer :-
exactly four units. [Option ID = 47100]
[Question ID = 19263]
1. does not exist [Option ID = 47046]
2. equals 0. [Option ID = 47043]
3. equals 5. [Option ID = 47044]
4. [Option ID = 47045]
Correct Answer :-
[Option ID = 47045]
[Question ID = 19269]
1. 1 [Option ID = 47067]
2. [Option ID = 47070]
3. [Option ID = 47068]
4. [Option ID = 47069]
Correct Answer :-
[Option ID = 47068]
[Question ID = 19260]
1. [Option ID = 47033]
2. [Option ID = 47034]
3. [Option ID = 47032]
4. [Option ID = 47031]
Correct Answer :-
[Option ID = 47033]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
4)
5)
6)
7)
DU MPhil Phd in Mathematics
Topic:- DU_J18_MPHIL_MATHS_Topic01
The mathematician who was awarded Abel?s prize for a proof of Fermat?s Last Theorem is [Question ID = 19249]
1. Andrew Wiles. [Option ID = 46987]
2. Johan F. Nash. [Option ID = 46988]
3. S. R. Srinivasa Varadhan. [Option ID = 46989]
4. Lennart Carleson. [Option ID = 46990]
Correct Answer :-
Andrew Wiles. [Option ID = 46987]
Founder of Indian Mathematical Society(IMS) was [Question ID = 19252]
1. Asutosh Mukherjee. [Option ID = 47000]
2. S. Narayana Aiyer. [Option ID = 47001]
3. M.T. Narayaniyengar. [Option ID = 47002]
4. V. Ramaswamy Aiyer. [Option ID = 46999]
Correct Answer :-
V. Ramaswamy Aiyer. [Option ID = 46999]
Let R be a commutative ring with identity. If R is an Artinian domain, then the total number of prime ideals in R is [Question ID = 19280]
1. 1 [Option ID = 47111]
2. in?nite. [Option ID = 47114]
3. 3 [Option ID = 47113]
4. 2 [Option ID = 47112]
Correct Answer :-
1 [Option ID = 47111]
Riemann hypothesis is associated with the function [Question ID = 19250]
1. [Option ID = 46991]
2. [Option ID = 46992]
3. [Option ID = 46994]
4. [Option ID = 46993]
Correct Answer :-
[Option ID = 46993]
For the stream function of a two dimensional motion, which of the following is not true
[Question ID = 19297]
1. Stream function is constant along a stream line. [Option ID = 47181]
2. Stream function is harmonic. [Option ID = 47180]
3. Stream function exists for steady motion of compressible ?uid. [Option ID = 47179]
4. [Option ID = 47182]
Correct Answer :-
[Option ID = 47182]
The famous Indian mathematician Srinivas Ramanujan passed away in the year [Question ID = 19248]
1. 1920 [Option ID = 46984]
2. 1922 [Option ID = 46985]
3. 1921 [Option ID = 46983]
4. 1919 [Option ID = 46986]
Correct Answer :-
1920 [Option ID = 46984]
Let F be a ?nite ?eld with 9 elements. How many elements of F have order 8? [Question ID = 19287]
8)
9)
10)
11)
1. 1 [Option ID = 47142]
2. 4 [Option ID = 47140]
3. 8 [Option ID = 47139]
4. 2 [Option ID = 47141]
Correct Answer :-
4 [Option ID = 47140]
[Question ID = 19293]
1. all of I, II and III are true. [Option ID = 47163]
2. only I and III are true. [Option ID = 47164]
3. only I and II are true. [Option ID = 47165]
4. only II and III are true. [Option ID = 47166]
Correct Answer :-
only I and III are true. [Option ID = 47164]
[Question ID = 19276]
1. III and IV only. [Option ID = 47096]
2. II and III only [Option ID = 47098]
3. I and IV only. [Option ID = 47097]
4. I and II only. [Option ID = 47095]
Correct Answer :-
I and IV only. [Option ID = 47097]
[Question ID = 19296]
1. only I, II, IV are true. [Option ID = 47175]
2. only I, III, IV are true. [Option ID = 47177]
3. only I, II, III are true. [Option ID = 47176]
4. only II, III, IV are true. [Option ID = 47178]
Correct Answer :-
only I, II, III are true. [Option ID = 47176]
12)
13)
14)
15)
[Question ID = 19277]
1. exactly two units. [Option ID = 47099]
2. exactly eight units. [Option ID = 47101]
3. exactly four units. [Option ID = 47100]
4. in?nitely many units. [Option ID = 47102]
Correct Answer :-
exactly four units. [Option ID = 47100]
[Question ID = 19263]
1. does not exist [Option ID = 47046]
2. equals 0. [Option ID = 47043]
3. equals 5. [Option ID = 47044]
4. [Option ID = 47045]
Correct Answer :-
[Option ID = 47045]
[Question ID = 19269]
1. 1 [Option ID = 47067]
2. [Option ID = 47070]
3. [Option ID = 47068]
4. [Option ID = 47069]
Correct Answer :-
[Option ID = 47068]
[Question ID = 19260]
1. [Option ID = 47033]
2. [Option ID = 47034]
3. [Option ID = 47032]
4. [Option ID = 47031]
Correct Answer :-
[Option ID = 47033]
16)
17)
18)
19)
[Question ID = 19259]
1. all statements are correct. [Option ID = 47030]
2. only III is correct. [Option ID = 47028]
3. only II, III, IV are correct. [Option ID = 47027]
4. only III and IV are correct. [Option ID = 47029]
Correct Answer :-
[Question ID = 19271]
1. neither open nor closed [Option ID = 47078]
2. open but not closed [Option ID = 47075]
3. both open and closed [Option ID = 47077]
4. closed but not open [Option ID = 47076]
Correct Answer :-
both open and closed [Option ID = 47077]
[Question ID = 19288]
1. does not exist. [Option ID = 47146]
2. equals 1/2. [Option ID = 47145]
3. equals 0. [Option ID = 47143]
4. equals 1. [Option ID = 47144]
Correct Answer :-
does not exist. [Option ID = 47146]
[Question ID = 19256]
1. 2 [Option ID = 47017]
2. ?1 [Option ID = 47018]
3. 1 [Option ID = 47015]
4. 0 [Option ID = 47016]
Correct Answer :-
1 [Option ID = 47015]
[Question ID = 19255]
1. [Option ID = 47013]
2. [Option ID = 47014]
FirstRanker.com - FirstRanker's Choice
1)
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6)
7)
DU MPhil Phd in Mathematics
Topic:- DU_J18_MPHIL_MATHS_Topic01
The mathematician who was awarded Abel?s prize for a proof of Fermat?s Last Theorem is [Question ID = 19249]
1. Andrew Wiles. [Option ID = 46987]
2. Johan F. Nash. [Option ID = 46988]
3. S. R. Srinivasa Varadhan. [Option ID = 46989]
4. Lennart Carleson. [Option ID = 46990]
Correct Answer :-
Andrew Wiles. [Option ID = 46987]
Founder of Indian Mathematical Society(IMS) was [Question ID = 19252]
1. Asutosh Mukherjee. [Option ID = 47000]
2. S. Narayana Aiyer. [Option ID = 47001]
3. M.T. Narayaniyengar. [Option ID = 47002]
4. V. Ramaswamy Aiyer. [Option ID = 46999]
Correct Answer :-
V. Ramaswamy Aiyer. [Option ID = 46999]
Let R be a commutative ring with identity. If R is an Artinian domain, then the total number of prime ideals in R is [Question ID = 19280]
1. 1 [Option ID = 47111]
2. in?nite. [Option ID = 47114]
3. 3 [Option ID = 47113]
4. 2 [Option ID = 47112]
Correct Answer :-
1 [Option ID = 47111]
Riemann hypothesis is associated with the function [Question ID = 19250]
1. [Option ID = 46991]
2. [Option ID = 46992]
3. [Option ID = 46994]
4. [Option ID = 46993]
Correct Answer :-
[Option ID = 46993]
For the stream function of a two dimensional motion, which of the following is not true
[Question ID = 19297]
1. Stream function is constant along a stream line. [Option ID = 47181]
2. Stream function is harmonic. [Option ID = 47180]
3. Stream function exists for steady motion of compressible ?uid. [Option ID = 47179]
4. [Option ID = 47182]
Correct Answer :-
[Option ID = 47182]
The famous Indian mathematician Srinivas Ramanujan passed away in the year [Question ID = 19248]
1. 1920 [Option ID = 46984]
2. 1922 [Option ID = 46985]
3. 1921 [Option ID = 46983]
4. 1919 [Option ID = 46986]
Correct Answer :-
1920 [Option ID = 46984]
Let F be a ?nite ?eld with 9 elements. How many elements of F have order 8? [Question ID = 19287]
8)
9)
10)
11)
1. 1 [Option ID = 47142]
2. 4 [Option ID = 47140]
3. 8 [Option ID = 47139]
4. 2 [Option ID = 47141]
Correct Answer :-
4 [Option ID = 47140]
[Question ID = 19293]
1. all of I, II and III are true. [Option ID = 47163]
2. only I and III are true. [Option ID = 47164]
3. only I and II are true. [Option ID = 47165]
4. only II and III are true. [Option ID = 47166]
Correct Answer :-
only I and III are true. [Option ID = 47164]
[Question ID = 19276]
1. III and IV only. [Option ID = 47096]
2. II and III only [Option ID = 47098]
3. I and IV only. [Option ID = 47097]
4. I and II only. [Option ID = 47095]
Correct Answer :-
I and IV only. [Option ID = 47097]
[Question ID = 19296]
1. only I, II, IV are true. [Option ID = 47175]
2. only I, III, IV are true. [Option ID = 47177]
3. only I, II, III are true. [Option ID = 47176]
4. only II, III, IV are true. [Option ID = 47178]
Correct Answer :-
only I, II, III are true. [Option ID = 47176]
12)
13)
14)
15)
[Question ID = 19277]
1. exactly two units. [Option ID = 47099]
2. exactly eight units. [Option ID = 47101]
3. exactly four units. [Option ID = 47100]
4. in?nitely many units. [Option ID = 47102]
Correct Answer :-
exactly four units. [Option ID = 47100]
[Question ID = 19263]
1. does not exist [Option ID = 47046]
2. equals 0. [Option ID = 47043]
3. equals 5. [Option ID = 47044]
4. [Option ID = 47045]
Correct Answer :-
[Option ID = 47045]
[Question ID = 19269]
1. 1 [Option ID = 47067]
2. [Option ID = 47070]
3. [Option ID = 47068]
4. [Option ID = 47069]
Correct Answer :-
[Option ID = 47068]
[Question ID = 19260]
1. [Option ID = 47033]
2. [Option ID = 47034]
3. [Option ID = 47032]
4. [Option ID = 47031]
Correct Answer :-
[Option ID = 47033]
16)
17)
18)
19)
[Question ID = 19259]
1. all statements are correct. [Option ID = 47030]
2. only III is correct. [Option ID = 47028]
3. only II, III, IV are correct. [Option ID = 47027]
4. only III and IV are correct. [Option ID = 47029]
Correct Answer :-
[Question ID = 19271]
1. neither open nor closed [Option ID = 47078]
2. open but not closed [Option ID = 47075]
3. both open and closed [Option ID = 47077]
4. closed but not open [Option ID = 47076]
Correct Answer :-
both open and closed [Option ID = 47077]
[Question ID = 19288]
1. does not exist. [Option ID = 47146]
2. equals 1/2. [Option ID = 47145]
3. equals 0. [Option ID = 47143]
4. equals 1. [Option ID = 47144]
Correct Answer :-
does not exist. [Option ID = 47146]
[Question ID = 19256]
1. 2 [Option ID = 47017]
2. ?1 [Option ID = 47018]
3. 1 [Option ID = 47015]
4. 0 [Option ID = 47016]
Correct Answer :-
1 [Option ID = 47015]
[Question ID = 19255]
1. [Option ID = 47013]
2. [Option ID = 47014]
20)
21)
22)
23)
3. [Option ID = 47011]
4. [Option ID = 47012]
Correct Answer :-
[Option ID = 47011]
[Question ID = 19289]
1. [Option ID = 47150]
2. [Option ID = 47147]
3. [Option ID = 47149]
4. [Option ID = 47148]
Correct Answer :-
[Option ID = 47149]
[Question ID = 19257]
1. [Option ID = 47020]
2. [Option ID = 47021]
3. [Option ID = 47022]
4. [Option ID = 47019]
Correct Answer :-
[Option ID = 47020]
[Question ID = 19286]
1. [Option ID = 47135]
2. [Option ID = 47137]
3. [Option ID = 47136]
4. [Option ID = 47138]
Correct Answer :-
FirstRanker.com - FirstRanker's Choice
1)
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3)
4)
5)
6)
7)
DU MPhil Phd in Mathematics
Topic:- DU_J18_MPHIL_MATHS_Topic01
The mathematician who was awarded Abel?s prize for a proof of Fermat?s Last Theorem is [Question ID = 19249]
1. Andrew Wiles. [Option ID = 46987]
2. Johan F. Nash. [Option ID = 46988]
3. S. R. Srinivasa Varadhan. [Option ID = 46989]
4. Lennart Carleson. [Option ID = 46990]
Correct Answer :-
Andrew Wiles. [Option ID = 46987]
Founder of Indian Mathematical Society(IMS) was [Question ID = 19252]
1. Asutosh Mukherjee. [Option ID = 47000]
2. S. Narayana Aiyer. [Option ID = 47001]
3. M.T. Narayaniyengar. [Option ID = 47002]
4. V. Ramaswamy Aiyer. [Option ID = 46999]
Correct Answer :-
V. Ramaswamy Aiyer. [Option ID = 46999]
Let R be a commutative ring with identity. If R is an Artinian domain, then the total number of prime ideals in R is [Question ID = 19280]
1. 1 [Option ID = 47111]
2. in?nite. [Option ID = 47114]
3. 3 [Option ID = 47113]
4. 2 [Option ID = 47112]
Correct Answer :-
1 [Option ID = 47111]
Riemann hypothesis is associated with the function [Question ID = 19250]
1. [Option ID = 46991]
2. [Option ID = 46992]
3. [Option ID = 46994]
4. [Option ID = 46993]
Correct Answer :-
[Option ID = 46993]
For the stream function of a two dimensional motion, which of the following is not true
[Question ID = 19297]
1. Stream function is constant along a stream line. [Option ID = 47181]
2. Stream function is harmonic. [Option ID = 47180]
3. Stream function exists for steady motion of compressible ?uid. [Option ID = 47179]
4. [Option ID = 47182]
Correct Answer :-
[Option ID = 47182]
The famous Indian mathematician Srinivas Ramanujan passed away in the year [Question ID = 19248]
1. 1920 [Option ID = 46984]
2. 1922 [Option ID = 46985]
3. 1921 [Option ID = 46983]
4. 1919 [Option ID = 46986]
Correct Answer :-
1920 [Option ID = 46984]
Let F be a ?nite ?eld with 9 elements. How many elements of F have order 8? [Question ID = 19287]
8)
9)
10)
11)
1. 1 [Option ID = 47142]
2. 4 [Option ID = 47140]
3. 8 [Option ID = 47139]
4. 2 [Option ID = 47141]
Correct Answer :-
4 [Option ID = 47140]
[Question ID = 19293]
1. all of I, II and III are true. [Option ID = 47163]
2. only I and III are true. [Option ID = 47164]
3. only I and II are true. [Option ID = 47165]
4. only II and III are true. [Option ID = 47166]
Correct Answer :-
only I and III are true. [Option ID = 47164]
[Question ID = 19276]
1. III and IV only. [Option ID = 47096]
2. II and III only [Option ID = 47098]
3. I and IV only. [Option ID = 47097]
4. I and II only. [Option ID = 47095]
Correct Answer :-
I and IV only. [Option ID = 47097]
[Question ID = 19296]
1. only I, II, IV are true. [Option ID = 47175]
2. only I, III, IV are true. [Option ID = 47177]
3. only I, II, III are true. [Option ID = 47176]
4. only II, III, IV are true. [Option ID = 47178]
Correct Answer :-
only I, II, III are true. [Option ID = 47176]
12)
13)
14)
15)
[Question ID = 19277]
1. exactly two units. [Option ID = 47099]
2. exactly eight units. [Option ID = 47101]
3. exactly four units. [Option ID = 47100]
4. in?nitely many units. [Option ID = 47102]
Correct Answer :-
exactly four units. [Option ID = 47100]
[Question ID = 19263]
1. does not exist [Option ID = 47046]
2. equals 0. [Option ID = 47043]
3. equals 5. [Option ID = 47044]
4. [Option ID = 47045]
Correct Answer :-
[Option ID = 47045]
[Question ID = 19269]
1. 1 [Option ID = 47067]
2. [Option ID = 47070]
3. [Option ID = 47068]
4. [Option ID = 47069]
Correct Answer :-
[Option ID = 47068]
[Question ID = 19260]
1. [Option ID = 47033]
2. [Option ID = 47034]
3. [Option ID = 47032]
4. [Option ID = 47031]
Correct Answer :-
[Option ID = 47033]
16)
17)
18)
19)
[Question ID = 19259]
1. all statements are correct. [Option ID = 47030]
2. only III is correct. [Option ID = 47028]
3. only II, III, IV are correct. [Option ID = 47027]
4. only III and IV are correct. [Option ID = 47029]
Correct Answer :-
[Question ID = 19271]
1. neither open nor closed [Option ID = 47078]
2. open but not closed [Option ID = 47075]
3. both open and closed [Option ID = 47077]
4. closed but not open [Option ID = 47076]
Correct Answer :-
both open and closed [Option ID = 47077]
[Question ID = 19288]
1. does not exist. [Option ID = 47146]
2. equals 1/2. [Option ID = 47145]
3. equals 0. [Option ID = 47143]
4. equals 1. [Option ID = 47144]
Correct Answer :-
does not exist. [Option ID = 47146]
[Question ID = 19256]
1. 2 [Option ID = 47017]
2. ?1 [Option ID = 47018]
3. 1 [Option ID = 47015]
4. 0 [Option ID = 47016]
Correct Answer :-
1 [Option ID = 47015]
[Question ID = 19255]
1. [Option ID = 47013]
2. [Option ID = 47014]
20)
21)
22)
23)
3. [Option ID = 47011]
4. [Option ID = 47012]
Correct Answer :-
[Option ID = 47011]
[Question ID = 19289]
1. [Option ID = 47150]
2. [Option ID = 47147]
3. [Option ID = 47149]
4. [Option ID = 47148]
Correct Answer :-
[Option ID = 47149]
[Question ID = 19257]
1. [Option ID = 47020]
2. [Option ID = 47021]
3. [Option ID = 47022]
4. [Option ID = 47019]
Correct Answer :-
[Option ID = 47020]
[Question ID = 19286]
1. [Option ID = 47135]
2. [Option ID = 47137]
3. [Option ID = 47136]
4. [Option ID = 47138]
Correct Answer :-
24)
25)
26)
[Question ID = 19290]
1. [Option ID = 47154]
2. [Option ID = 47151]
3. [Option ID = 47153]
4. [Option ID = 47152]
Correct Answer :-
[Option ID = 47152]
[Question ID = 19264]
1. 1 [Option ID = 47048]
2. [Option ID = 47049]
3. [Option ID = 47050]
4. [Option ID = 47047]
Correct Answer :-
1 [Option ID = 47048]
[Question ID = 19282]
1. [Option ID = 47119]
2. [Option ID = 47121]
3. [Option ID = 47120]
4. [Option ID = 47122]
Correct Answer :-
[Option ID = 47122]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
4)
5)
6)
7)
DU MPhil Phd in Mathematics
Topic:- DU_J18_MPHIL_MATHS_Topic01
The mathematician who was awarded Abel?s prize for a proof of Fermat?s Last Theorem is [Question ID = 19249]
1. Andrew Wiles. [Option ID = 46987]
2. Johan F. Nash. [Option ID = 46988]
3. S. R. Srinivasa Varadhan. [Option ID = 46989]
4. Lennart Carleson. [Option ID = 46990]
Correct Answer :-
Andrew Wiles. [Option ID = 46987]
Founder of Indian Mathematical Society(IMS) was [Question ID = 19252]
1. Asutosh Mukherjee. [Option ID = 47000]
2. S. Narayana Aiyer. [Option ID = 47001]
3. M.T. Narayaniyengar. [Option ID = 47002]
4. V. Ramaswamy Aiyer. [Option ID = 46999]
Correct Answer :-
V. Ramaswamy Aiyer. [Option ID = 46999]
Let R be a commutative ring with identity. If R is an Artinian domain, then the total number of prime ideals in R is [Question ID = 19280]
1. 1 [Option ID = 47111]
2. in?nite. [Option ID = 47114]
3. 3 [Option ID = 47113]
4. 2 [Option ID = 47112]
Correct Answer :-
1 [Option ID = 47111]
Riemann hypothesis is associated with the function [Question ID = 19250]
1. [Option ID = 46991]
2. [Option ID = 46992]
3. [Option ID = 46994]
4. [Option ID = 46993]
Correct Answer :-
[Option ID = 46993]
For the stream function of a two dimensional motion, which of the following is not true
[Question ID = 19297]
1. Stream function is constant along a stream line. [Option ID = 47181]
2. Stream function is harmonic. [Option ID = 47180]
3. Stream function exists for steady motion of compressible ?uid. [Option ID = 47179]
4. [Option ID = 47182]
Correct Answer :-
[Option ID = 47182]
The famous Indian mathematician Srinivas Ramanujan passed away in the year [Question ID = 19248]
1. 1920 [Option ID = 46984]
2. 1922 [Option ID = 46985]
3. 1921 [Option ID = 46983]
4. 1919 [Option ID = 46986]
Correct Answer :-
1920 [Option ID = 46984]
Let F be a ?nite ?eld with 9 elements. How many elements of F have order 8? [Question ID = 19287]
8)
9)
10)
11)
1. 1 [Option ID = 47142]
2. 4 [Option ID = 47140]
3. 8 [Option ID = 47139]
4. 2 [Option ID = 47141]
Correct Answer :-
4 [Option ID = 47140]
[Question ID = 19293]
1. all of I, II and III are true. [Option ID = 47163]
2. only I and III are true. [Option ID = 47164]
3. only I and II are true. [Option ID = 47165]
4. only II and III are true. [Option ID = 47166]
Correct Answer :-
only I and III are true. [Option ID = 47164]
[Question ID = 19276]
1. III and IV only. [Option ID = 47096]
2. II and III only [Option ID = 47098]
3. I and IV only. [Option ID = 47097]
4. I and II only. [Option ID = 47095]
Correct Answer :-
I and IV only. [Option ID = 47097]
[Question ID = 19296]
1. only I, II, IV are true. [Option ID = 47175]
2. only I, III, IV are true. [Option ID = 47177]
3. only I, II, III are true. [Option ID = 47176]
4. only II, III, IV are true. [Option ID = 47178]
Correct Answer :-
only I, II, III are true. [Option ID = 47176]
12)
13)
14)
15)
[Question ID = 19277]
1. exactly two units. [Option ID = 47099]
2. exactly eight units. [Option ID = 47101]
3. exactly four units. [Option ID = 47100]
4. in?nitely many units. [Option ID = 47102]
Correct Answer :-
exactly four units. [Option ID = 47100]
[Question ID = 19263]
1. does not exist [Option ID = 47046]
2. equals 0. [Option ID = 47043]
3. equals 5. [Option ID = 47044]
4. [Option ID = 47045]
Correct Answer :-
[Option ID = 47045]
[Question ID = 19269]
1. 1 [Option ID = 47067]
2. [Option ID = 47070]
3. [Option ID = 47068]
4. [Option ID = 47069]
Correct Answer :-
[Option ID = 47068]
[Question ID = 19260]
1. [Option ID = 47033]
2. [Option ID = 47034]
3. [Option ID = 47032]
4. [Option ID = 47031]
Correct Answer :-
[Option ID = 47033]
16)
17)
18)
19)
[Question ID = 19259]
1. all statements are correct. [Option ID = 47030]
2. only III is correct. [Option ID = 47028]
3. only II, III, IV are correct. [Option ID = 47027]
4. only III and IV are correct. [Option ID = 47029]
Correct Answer :-
[Question ID = 19271]
1. neither open nor closed [Option ID = 47078]
2. open but not closed [Option ID = 47075]
3. both open and closed [Option ID = 47077]
4. closed but not open [Option ID = 47076]
Correct Answer :-
both open and closed [Option ID = 47077]
[Question ID = 19288]
1. does not exist. [Option ID = 47146]
2. equals 1/2. [Option ID = 47145]
3. equals 0. [Option ID = 47143]
4. equals 1. [Option ID = 47144]
Correct Answer :-
does not exist. [Option ID = 47146]
[Question ID = 19256]
1. 2 [Option ID = 47017]
2. ?1 [Option ID = 47018]
3. 1 [Option ID = 47015]
4. 0 [Option ID = 47016]
Correct Answer :-
1 [Option ID = 47015]
[Question ID = 19255]
1. [Option ID = 47013]
2. [Option ID = 47014]
20)
21)
22)
23)
3. [Option ID = 47011]
4. [Option ID = 47012]
Correct Answer :-
[Option ID = 47011]
[Question ID = 19289]
1. [Option ID = 47150]
2. [Option ID = 47147]
3. [Option ID = 47149]
4. [Option ID = 47148]
Correct Answer :-
[Option ID = 47149]
[Question ID = 19257]
1. [Option ID = 47020]
2. [Option ID = 47021]
3. [Option ID = 47022]
4. [Option ID = 47019]
Correct Answer :-
[Option ID = 47020]
[Question ID = 19286]
1. [Option ID = 47135]
2. [Option ID = 47137]
3. [Option ID = 47136]
4. [Option ID = 47138]
Correct Answer :-
24)
25)
26)
[Question ID = 19290]
1. [Option ID = 47154]
2. [Option ID = 47151]
3. [Option ID = 47153]
4. [Option ID = 47152]
Correct Answer :-
[Option ID = 47152]
[Question ID = 19264]
1. 1 [Option ID = 47048]
2. [Option ID = 47049]
3. [Option ID = 47050]
4. [Option ID = 47047]
Correct Answer :-
1 [Option ID = 47048]
[Question ID = 19282]
1. [Option ID = 47119]
2. [Option ID = 47121]
3. [Option ID = 47120]
4. [Option ID = 47122]
Correct Answer :-
[Option ID = 47122]
27)
28)
29)
[Question ID = 19295]
1. only I, II, IV are true. [Option ID = 47172]
2. only I, III, IV are true. [Option ID = 47173]
3. only I, II, III are true. [Option ID = 47171]
4. only II, III, IV are true. [Option ID = 47174]
Correct Answer :-
only I, III, IV are true. [Option ID = 47173]
[Question ID = 19281]
1. only I and III are true. [Option ID = 47117]
2. only I and II are true. [Option ID = 47116]
3. only I is true. [Option ID = 47115]
4. all statements are true. [Option ID = 47118]
Correct Answer :-
all statements are true. [Option ID = 47118]
[Question ID = 19285]
1. 1 [Option ID = 47131]
2. 2 [Option ID = 47132]
3. [Option ID = 47133]
4. [Option ID = 47134]
Correct Answer :-
1 [Option ID = 47131]
[Question ID = 19272]
1. a path connected space [Option ID = 47081]
2. connected but not locally connected [Option ID = 47079]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
4)
5)
6)
7)
DU MPhil Phd in Mathematics
Topic:- DU_J18_MPHIL_MATHS_Topic01
The mathematician who was awarded Abel?s prize for a proof of Fermat?s Last Theorem is [Question ID = 19249]
1. Andrew Wiles. [Option ID = 46987]
2. Johan F. Nash. [Option ID = 46988]
3. S. R. Srinivasa Varadhan. [Option ID = 46989]
4. Lennart Carleson. [Option ID = 46990]
Correct Answer :-
Andrew Wiles. [Option ID = 46987]
Founder of Indian Mathematical Society(IMS) was [Question ID = 19252]
1. Asutosh Mukherjee. [Option ID = 47000]
2. S. Narayana Aiyer. [Option ID = 47001]
3. M.T. Narayaniyengar. [Option ID = 47002]
4. V. Ramaswamy Aiyer. [Option ID = 46999]
Correct Answer :-
V. Ramaswamy Aiyer. [Option ID = 46999]
Let R be a commutative ring with identity. If R is an Artinian domain, then the total number of prime ideals in R is [Question ID = 19280]
1. 1 [Option ID = 47111]
2. in?nite. [Option ID = 47114]
3. 3 [Option ID = 47113]
4. 2 [Option ID = 47112]
Correct Answer :-
1 [Option ID = 47111]
Riemann hypothesis is associated with the function [Question ID = 19250]
1. [Option ID = 46991]
2. [Option ID = 46992]
3. [Option ID = 46994]
4. [Option ID = 46993]
Correct Answer :-
[Option ID = 46993]
For the stream function of a two dimensional motion, which of the following is not true
[Question ID = 19297]
1. Stream function is constant along a stream line. [Option ID = 47181]
2. Stream function is harmonic. [Option ID = 47180]
3. Stream function exists for steady motion of compressible ?uid. [Option ID = 47179]
4. [Option ID = 47182]
Correct Answer :-
[Option ID = 47182]
The famous Indian mathematician Srinivas Ramanujan passed away in the year [Question ID = 19248]
1. 1920 [Option ID = 46984]
2. 1922 [Option ID = 46985]
3. 1921 [Option ID = 46983]
4. 1919 [Option ID = 46986]
Correct Answer :-
1920 [Option ID = 46984]
Let F be a ?nite ?eld with 9 elements. How many elements of F have order 8? [Question ID = 19287]
8)
9)
10)
11)
1. 1 [Option ID = 47142]
2. 4 [Option ID = 47140]
3. 8 [Option ID = 47139]
4. 2 [Option ID = 47141]
Correct Answer :-
4 [Option ID = 47140]
[Question ID = 19293]
1. all of I, II and III are true. [Option ID = 47163]
2. only I and III are true. [Option ID = 47164]
3. only I and II are true. [Option ID = 47165]
4. only II and III are true. [Option ID = 47166]
Correct Answer :-
only I and III are true. [Option ID = 47164]
[Question ID = 19276]
1. III and IV only. [Option ID = 47096]
2. II and III only [Option ID = 47098]
3. I and IV only. [Option ID = 47097]
4. I and II only. [Option ID = 47095]
Correct Answer :-
I and IV only. [Option ID = 47097]
[Question ID = 19296]
1. only I, II, IV are true. [Option ID = 47175]
2. only I, III, IV are true. [Option ID = 47177]
3. only I, II, III are true. [Option ID = 47176]
4. only II, III, IV are true. [Option ID = 47178]
Correct Answer :-
only I, II, III are true. [Option ID = 47176]
12)
13)
14)
15)
[Question ID = 19277]
1. exactly two units. [Option ID = 47099]
2. exactly eight units. [Option ID = 47101]
3. exactly four units. [Option ID = 47100]
4. in?nitely many units. [Option ID = 47102]
Correct Answer :-
exactly four units. [Option ID = 47100]
[Question ID = 19263]
1. does not exist [Option ID = 47046]
2. equals 0. [Option ID = 47043]
3. equals 5. [Option ID = 47044]
4. [Option ID = 47045]
Correct Answer :-
[Option ID = 47045]
[Question ID = 19269]
1. 1 [Option ID = 47067]
2. [Option ID = 47070]
3. [Option ID = 47068]
4. [Option ID = 47069]
Correct Answer :-
[Option ID = 47068]
[Question ID = 19260]
1. [Option ID = 47033]
2. [Option ID = 47034]
3. [Option ID = 47032]
4. [Option ID = 47031]
Correct Answer :-
[Option ID = 47033]
16)
17)
18)
19)
[Question ID = 19259]
1. all statements are correct. [Option ID = 47030]
2. only III is correct. [Option ID = 47028]
3. only II, III, IV are correct. [Option ID = 47027]
4. only III and IV are correct. [Option ID = 47029]
Correct Answer :-
[Question ID = 19271]
1. neither open nor closed [Option ID = 47078]
2. open but not closed [Option ID = 47075]
3. both open and closed [Option ID = 47077]
4. closed but not open [Option ID = 47076]
Correct Answer :-
both open and closed [Option ID = 47077]
[Question ID = 19288]
1. does not exist. [Option ID = 47146]
2. equals 1/2. [Option ID = 47145]
3. equals 0. [Option ID = 47143]
4. equals 1. [Option ID = 47144]
Correct Answer :-
does not exist. [Option ID = 47146]
[Question ID = 19256]
1. 2 [Option ID = 47017]
2. ?1 [Option ID = 47018]
3. 1 [Option ID = 47015]
4. 0 [Option ID = 47016]
Correct Answer :-
1 [Option ID = 47015]
[Question ID = 19255]
1. [Option ID = 47013]
2. [Option ID = 47014]
20)
21)
22)
23)
3. [Option ID = 47011]
4. [Option ID = 47012]
Correct Answer :-
[Option ID = 47011]
[Question ID = 19289]
1. [Option ID = 47150]
2. [Option ID = 47147]
3. [Option ID = 47149]
4. [Option ID = 47148]
Correct Answer :-
[Option ID = 47149]
[Question ID = 19257]
1. [Option ID = 47020]
2. [Option ID = 47021]
3. [Option ID = 47022]
4. [Option ID = 47019]
Correct Answer :-
[Option ID = 47020]
[Question ID = 19286]
1. [Option ID = 47135]
2. [Option ID = 47137]
3. [Option ID = 47136]
4. [Option ID = 47138]
Correct Answer :-
24)
25)
26)
[Question ID = 19290]
1. [Option ID = 47154]
2. [Option ID = 47151]
3. [Option ID = 47153]
4. [Option ID = 47152]
Correct Answer :-
[Option ID = 47152]
[Question ID = 19264]
1. 1 [Option ID = 47048]
2. [Option ID = 47049]
3. [Option ID = 47050]
4. [Option ID = 47047]
Correct Answer :-
1 [Option ID = 47048]
[Question ID = 19282]
1. [Option ID = 47119]
2. [Option ID = 47121]
3. [Option ID = 47120]
4. [Option ID = 47122]
Correct Answer :-
[Option ID = 47122]
27)
28)
29)
[Question ID = 19295]
1. only I, II, IV are true. [Option ID = 47172]
2. only I, III, IV are true. [Option ID = 47173]
3. only I, II, III are true. [Option ID = 47171]
4. only II, III, IV are true. [Option ID = 47174]
Correct Answer :-
only I, III, IV are true. [Option ID = 47173]
[Question ID = 19281]
1. only I and III are true. [Option ID = 47117]
2. only I and II are true. [Option ID = 47116]
3. only I is true. [Option ID = 47115]
4. all statements are true. [Option ID = 47118]
Correct Answer :-
all statements are true. [Option ID = 47118]
[Question ID = 19285]
1. 1 [Option ID = 47131]
2. 2 [Option ID = 47132]
3. [Option ID = 47133]
4. [Option ID = 47134]
Correct Answer :-
1 [Option ID = 47131]
[Question ID = 19272]
1. a path connected space [Option ID = 47081]
2. connected but not locally connected [Option ID = 47079]
30)
31)
32)
3. a locally path connected space [Option ID = 47082]
4. locally connected but not connected [Option ID = 47080]
Correct Answer :-
connected but not locally connected [Option ID = 47079]
[Question ID = 19275]
1. [Option ID = 47094]
2. [Option ID = 47093]
3. [Option ID = 47091]
4. [Option ID = 47092]
Correct Answer :-
[Option ID = 47094]
[Question ID = 19265]
1. [Option ID = 47053]
2. [Option ID = 47052]
3. [Option ID = 47051]
4. [Option ID = 47054]
Correct Answer :-
[Option ID = 47053]
[Question ID = 19274]
1. only I, III, and IV are true [Option ID = 47089]
2. all the statements are true.. [Option ID = 47090]
3. only III is true [Option ID = 47088]
4. only I and II are true [Option ID = 47087]
Correct Answer :-
only I, III, and IV are true [Option ID = 47089]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
4)
5)
6)
7)
DU MPhil Phd in Mathematics
Topic:- DU_J18_MPHIL_MATHS_Topic01
The mathematician who was awarded Abel?s prize for a proof of Fermat?s Last Theorem is [Question ID = 19249]
1. Andrew Wiles. [Option ID = 46987]
2. Johan F. Nash. [Option ID = 46988]
3. S. R. Srinivasa Varadhan. [Option ID = 46989]
4. Lennart Carleson. [Option ID = 46990]
Correct Answer :-
Andrew Wiles. [Option ID = 46987]
Founder of Indian Mathematical Society(IMS) was [Question ID = 19252]
1. Asutosh Mukherjee. [Option ID = 47000]
2. S. Narayana Aiyer. [Option ID = 47001]
3. M.T. Narayaniyengar. [Option ID = 47002]
4. V. Ramaswamy Aiyer. [Option ID = 46999]
Correct Answer :-
V. Ramaswamy Aiyer. [Option ID = 46999]
Let R be a commutative ring with identity. If R is an Artinian domain, then the total number of prime ideals in R is [Question ID = 19280]
1. 1 [Option ID = 47111]
2. in?nite. [Option ID = 47114]
3. 3 [Option ID = 47113]
4. 2 [Option ID = 47112]
Correct Answer :-
1 [Option ID = 47111]
Riemann hypothesis is associated with the function [Question ID = 19250]
1. [Option ID = 46991]
2. [Option ID = 46992]
3. [Option ID = 46994]
4. [Option ID = 46993]
Correct Answer :-
[Option ID = 46993]
For the stream function of a two dimensional motion, which of the following is not true
[Question ID = 19297]
1. Stream function is constant along a stream line. [Option ID = 47181]
2. Stream function is harmonic. [Option ID = 47180]
3. Stream function exists for steady motion of compressible ?uid. [Option ID = 47179]
4. [Option ID = 47182]
Correct Answer :-
[Option ID = 47182]
The famous Indian mathematician Srinivas Ramanujan passed away in the year [Question ID = 19248]
1. 1920 [Option ID = 46984]
2. 1922 [Option ID = 46985]
3. 1921 [Option ID = 46983]
4. 1919 [Option ID = 46986]
Correct Answer :-
1920 [Option ID = 46984]
Let F be a ?nite ?eld with 9 elements. How many elements of F have order 8? [Question ID = 19287]
8)
9)
10)
11)
1. 1 [Option ID = 47142]
2. 4 [Option ID = 47140]
3. 8 [Option ID = 47139]
4. 2 [Option ID = 47141]
Correct Answer :-
4 [Option ID = 47140]
[Question ID = 19293]
1. all of I, II and III are true. [Option ID = 47163]
2. only I and III are true. [Option ID = 47164]
3. only I and II are true. [Option ID = 47165]
4. only II and III are true. [Option ID = 47166]
Correct Answer :-
only I and III are true. [Option ID = 47164]
[Question ID = 19276]
1. III and IV only. [Option ID = 47096]
2. II and III only [Option ID = 47098]
3. I and IV only. [Option ID = 47097]
4. I and II only. [Option ID = 47095]
Correct Answer :-
I and IV only. [Option ID = 47097]
[Question ID = 19296]
1. only I, II, IV are true. [Option ID = 47175]
2. only I, III, IV are true. [Option ID = 47177]
3. only I, II, III are true. [Option ID = 47176]
4. only II, III, IV are true. [Option ID = 47178]
Correct Answer :-
only I, II, III are true. [Option ID = 47176]
12)
13)
14)
15)
[Question ID = 19277]
1. exactly two units. [Option ID = 47099]
2. exactly eight units. [Option ID = 47101]
3. exactly four units. [Option ID = 47100]
4. in?nitely many units. [Option ID = 47102]
Correct Answer :-
exactly four units. [Option ID = 47100]
[Question ID = 19263]
1. does not exist [Option ID = 47046]
2. equals 0. [Option ID = 47043]
3. equals 5. [Option ID = 47044]
4. [Option ID = 47045]
Correct Answer :-
[Option ID = 47045]
[Question ID = 19269]
1. 1 [Option ID = 47067]
2. [Option ID = 47070]
3. [Option ID = 47068]
4. [Option ID = 47069]
Correct Answer :-
[Option ID = 47068]
[Question ID = 19260]
1. [Option ID = 47033]
2. [Option ID = 47034]
3. [Option ID = 47032]
4. [Option ID = 47031]
Correct Answer :-
[Option ID = 47033]
16)
17)
18)
19)
[Question ID = 19259]
1. all statements are correct. [Option ID = 47030]
2. only III is correct. [Option ID = 47028]
3. only II, III, IV are correct. [Option ID = 47027]
4. only III and IV are correct. [Option ID = 47029]
Correct Answer :-
[Question ID = 19271]
1. neither open nor closed [Option ID = 47078]
2. open but not closed [Option ID = 47075]
3. both open and closed [Option ID = 47077]
4. closed but not open [Option ID = 47076]
Correct Answer :-
both open and closed [Option ID = 47077]
[Question ID = 19288]
1. does not exist. [Option ID = 47146]
2. equals 1/2. [Option ID = 47145]
3. equals 0. [Option ID = 47143]
4. equals 1. [Option ID = 47144]
Correct Answer :-
does not exist. [Option ID = 47146]
[Question ID = 19256]
1. 2 [Option ID = 47017]
2. ?1 [Option ID = 47018]
3. 1 [Option ID = 47015]
4. 0 [Option ID = 47016]
Correct Answer :-
1 [Option ID = 47015]
[Question ID = 19255]
1. [Option ID = 47013]
2. [Option ID = 47014]
20)
21)
22)
23)
3. [Option ID = 47011]
4. [Option ID = 47012]
Correct Answer :-
[Option ID = 47011]
[Question ID = 19289]
1. [Option ID = 47150]
2. [Option ID = 47147]
3. [Option ID = 47149]
4. [Option ID = 47148]
Correct Answer :-
[Option ID = 47149]
[Question ID = 19257]
1. [Option ID = 47020]
2. [Option ID = 47021]
3. [Option ID = 47022]
4. [Option ID = 47019]
Correct Answer :-
[Option ID = 47020]
[Question ID = 19286]
1. [Option ID = 47135]
2. [Option ID = 47137]
3. [Option ID = 47136]
4. [Option ID = 47138]
Correct Answer :-
24)
25)
26)
[Question ID = 19290]
1. [Option ID = 47154]
2. [Option ID = 47151]
3. [Option ID = 47153]
4. [Option ID = 47152]
Correct Answer :-
[Option ID = 47152]
[Question ID = 19264]
1. 1 [Option ID = 47048]
2. [Option ID = 47049]
3. [Option ID = 47050]
4. [Option ID = 47047]
Correct Answer :-
1 [Option ID = 47048]
[Question ID = 19282]
1. [Option ID = 47119]
2. [Option ID = 47121]
3. [Option ID = 47120]
4. [Option ID = 47122]
Correct Answer :-
[Option ID = 47122]
27)
28)
29)
[Question ID = 19295]
1. only I, II, IV are true. [Option ID = 47172]
2. only I, III, IV are true. [Option ID = 47173]
3. only I, II, III are true. [Option ID = 47171]
4. only II, III, IV are true. [Option ID = 47174]
Correct Answer :-
only I, III, IV are true. [Option ID = 47173]
[Question ID = 19281]
1. only I and III are true. [Option ID = 47117]
2. only I and II are true. [Option ID = 47116]
3. only I is true. [Option ID = 47115]
4. all statements are true. [Option ID = 47118]
Correct Answer :-
all statements are true. [Option ID = 47118]
[Question ID = 19285]
1. 1 [Option ID = 47131]
2. 2 [Option ID = 47132]
3. [Option ID = 47133]
4. [Option ID = 47134]
Correct Answer :-
1 [Option ID = 47131]
[Question ID = 19272]
1. a path connected space [Option ID = 47081]
2. connected but not locally connected [Option ID = 47079]
30)
31)
32)
3. a locally path connected space [Option ID = 47082]
4. locally connected but not connected [Option ID = 47080]
Correct Answer :-
connected but not locally connected [Option ID = 47079]
[Question ID = 19275]
1. [Option ID = 47094]
2. [Option ID = 47093]
3. [Option ID = 47091]
4. [Option ID = 47092]
Correct Answer :-
[Option ID = 47094]
[Question ID = 19265]
1. [Option ID = 47053]
2. [Option ID = 47052]
3. [Option ID = 47051]
4. [Option ID = 47054]
Correct Answer :-
[Option ID = 47053]
[Question ID = 19274]
1. only I, III, and IV are true [Option ID = 47089]
2. all the statements are true.. [Option ID = 47090]
3. only III is true [Option ID = 47088]
4. only I and II are true [Option ID = 47087]
Correct Answer :-
only I, III, and IV are true [Option ID = 47089]
33)
34)
35)
36)
[Question ID = 19291]
1. [Option ID = 47156]
2. [Option ID = 47157]
3. [Option ID = 47158]
4. [Option ID = 47155]
Correct Answer :-
[Option ID = 47155]
[Question ID = 19262]
1. [Option ID = 47040]
2. [Option ID = 47039]
3. [Option ID = 47041]
4. [Option ID = 47042]
Correct Answer :-
[Option ID = 47040]
[Question ID = 19273]
1. [Option ID = 47084]
2. [Option ID = 47085]
3. [Option ID = 47086]
4. [Option
ID = 47083]
Correct Answer :-
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
4)
5)
6)
7)
DU MPhil Phd in Mathematics
Topic:- DU_J18_MPHIL_MATHS_Topic01
The mathematician who was awarded Abel?s prize for a proof of Fermat?s Last Theorem is [Question ID = 19249]
1. Andrew Wiles. [Option ID = 46987]
2. Johan F. Nash. [Option ID = 46988]
3. S. R. Srinivasa Varadhan. [Option ID = 46989]
4. Lennart Carleson. [Option ID = 46990]
Correct Answer :-
Andrew Wiles. [Option ID = 46987]
Founder of Indian Mathematical Society(IMS) was [Question ID = 19252]
1. Asutosh Mukherjee. [Option ID = 47000]
2. S. Narayana Aiyer. [Option ID = 47001]
3. M.T. Narayaniyengar. [Option ID = 47002]
4. V. Ramaswamy Aiyer. [Option ID = 46999]
Correct Answer :-
V. Ramaswamy Aiyer. [Option ID = 46999]
Let R be a commutative ring with identity. If R is an Artinian domain, then the total number of prime ideals in R is [Question ID = 19280]
1. 1 [Option ID = 47111]
2. in?nite. [Option ID = 47114]
3. 3 [Option ID = 47113]
4. 2 [Option ID = 47112]
Correct Answer :-
1 [Option ID = 47111]
Riemann hypothesis is associated with the function [Question ID = 19250]
1. [Option ID = 46991]
2. [Option ID = 46992]
3. [Option ID = 46994]
4. [Option ID = 46993]
Correct Answer :-
[Option ID = 46993]
For the stream function of a two dimensional motion, which of the following is not true
[Question ID = 19297]
1. Stream function is constant along a stream line. [Option ID = 47181]
2. Stream function is harmonic. [Option ID = 47180]
3. Stream function exists for steady motion of compressible ?uid. [Option ID = 47179]
4. [Option ID = 47182]
Correct Answer :-
[Option ID = 47182]
The famous Indian mathematician Srinivas Ramanujan passed away in the year [Question ID = 19248]
1. 1920 [Option ID = 46984]
2. 1922 [Option ID = 46985]
3. 1921 [Option ID = 46983]
4. 1919 [Option ID = 46986]
Correct Answer :-
1920 [Option ID = 46984]
Let F be a ?nite ?eld with 9 elements. How many elements of F have order 8? [Question ID = 19287]
8)
9)
10)
11)
1. 1 [Option ID = 47142]
2. 4 [Option ID = 47140]
3. 8 [Option ID = 47139]
4. 2 [Option ID = 47141]
Correct Answer :-
4 [Option ID = 47140]
[Question ID = 19293]
1. all of I, II and III are true. [Option ID = 47163]
2. only I and III are true. [Option ID = 47164]
3. only I and II are true. [Option ID = 47165]
4. only II and III are true. [Option ID = 47166]
Correct Answer :-
only I and III are true. [Option ID = 47164]
[Question ID = 19276]
1. III and IV only. [Option ID = 47096]
2. II and III only [Option ID = 47098]
3. I and IV only. [Option ID = 47097]
4. I and II only. [Option ID = 47095]
Correct Answer :-
I and IV only. [Option ID = 47097]
[Question ID = 19296]
1. only I, II, IV are true. [Option ID = 47175]
2. only I, III, IV are true. [Option ID = 47177]
3. only I, II, III are true. [Option ID = 47176]
4. only II, III, IV are true. [Option ID = 47178]
Correct Answer :-
only I, II, III are true. [Option ID = 47176]
12)
13)
14)
15)
[Question ID = 19277]
1. exactly two units. [Option ID = 47099]
2. exactly eight units. [Option ID = 47101]
3. exactly four units. [Option ID = 47100]
4. in?nitely many units. [Option ID = 47102]
Correct Answer :-
exactly four units. [Option ID = 47100]
[Question ID = 19263]
1. does not exist [Option ID = 47046]
2. equals 0. [Option ID = 47043]
3. equals 5. [Option ID = 47044]
4. [Option ID = 47045]
Correct Answer :-
[Option ID = 47045]
[Question ID = 19269]
1. 1 [Option ID = 47067]
2. [Option ID = 47070]
3. [Option ID = 47068]
4. [Option ID = 47069]
Correct Answer :-
[Option ID = 47068]
[Question ID = 19260]
1. [Option ID = 47033]
2. [Option ID = 47034]
3. [Option ID = 47032]
4. [Option ID = 47031]
Correct Answer :-
[Option ID = 47033]
16)
17)
18)
19)
[Question ID = 19259]
1. all statements are correct. [Option ID = 47030]
2. only III is correct. [Option ID = 47028]
3. only II, III, IV are correct. [Option ID = 47027]
4. only III and IV are correct. [Option ID = 47029]
Correct Answer :-
[Question ID = 19271]
1. neither open nor closed [Option ID = 47078]
2. open but not closed [Option ID = 47075]
3. both open and closed [Option ID = 47077]
4. closed but not open [Option ID = 47076]
Correct Answer :-
both open and closed [Option ID = 47077]
[Question ID = 19288]
1. does not exist. [Option ID = 47146]
2. equals 1/2. [Option ID = 47145]
3. equals 0. [Option ID = 47143]
4. equals 1. [Option ID = 47144]
Correct Answer :-
does not exist. [Option ID = 47146]
[Question ID = 19256]
1. 2 [Option ID = 47017]
2. ?1 [Option ID = 47018]
3. 1 [Option ID = 47015]
4. 0 [Option ID = 47016]
Correct Answer :-
1 [Option ID = 47015]
[Question ID = 19255]
1. [Option ID = 47013]
2. [Option ID = 47014]
20)
21)
22)
23)
3. [Option ID = 47011]
4. [Option ID = 47012]
Correct Answer :-
[Option ID = 47011]
[Question ID = 19289]
1. [Option ID = 47150]
2. [Option ID = 47147]
3. [Option ID = 47149]
4. [Option ID = 47148]
Correct Answer :-
[Option ID = 47149]
[Question ID = 19257]
1. [Option ID = 47020]
2. [Option ID = 47021]
3. [Option ID = 47022]
4. [Option ID = 47019]
Correct Answer :-
[Option ID = 47020]
[Question ID = 19286]
1. [Option ID = 47135]
2. [Option ID = 47137]
3. [Option ID = 47136]
4. [Option ID = 47138]
Correct Answer :-
24)
25)
26)
[Question ID = 19290]
1. [Option ID = 47154]
2. [Option ID = 47151]
3. [Option ID = 47153]
4. [Option ID = 47152]
Correct Answer :-
[Option ID = 47152]
[Question ID = 19264]
1. 1 [Option ID = 47048]
2. [Option ID = 47049]
3. [Option ID = 47050]
4. [Option ID = 47047]
Correct Answer :-
1 [Option ID = 47048]
[Question ID = 19282]
1. [Option ID = 47119]
2. [Option ID = 47121]
3. [Option ID = 47120]
4. [Option ID = 47122]
Correct Answer :-
[Option ID = 47122]
27)
28)
29)
[Question ID = 19295]
1. only I, II, IV are true. [Option ID = 47172]
2. only I, III, IV are true. [Option ID = 47173]
3. only I, II, III are true. [Option ID = 47171]
4. only II, III, IV are true. [Option ID = 47174]
Correct Answer :-
only I, III, IV are true. [Option ID = 47173]
[Question ID = 19281]
1. only I and III are true. [Option ID = 47117]
2. only I and II are true. [Option ID = 47116]
3. only I is true. [Option ID = 47115]
4. all statements are true. [Option ID = 47118]
Correct Answer :-
all statements are true. [Option ID = 47118]
[Question ID = 19285]
1. 1 [Option ID = 47131]
2. 2 [Option ID = 47132]
3. [Option ID = 47133]
4. [Option ID = 47134]
Correct Answer :-
1 [Option ID = 47131]
[Question ID = 19272]
1. a path connected space [Option ID = 47081]
2. connected but not locally connected [Option ID = 47079]
30)
31)
32)
3. a locally path connected space [Option ID = 47082]
4. locally connected but not connected [Option ID = 47080]
Correct Answer :-
connected but not locally connected [Option ID = 47079]
[Question ID = 19275]
1. [Option ID = 47094]
2. [Option ID = 47093]
3. [Option ID = 47091]
4. [Option ID = 47092]
Correct Answer :-
[Option ID = 47094]
[Question ID = 19265]
1. [Option ID = 47053]
2. [Option ID = 47052]
3. [Option ID = 47051]
4. [Option ID = 47054]
Correct Answer :-
[Option ID = 47053]
[Question ID = 19274]
1. only I, III, and IV are true [Option ID = 47089]
2. all the statements are true.. [Option ID = 47090]
3. only III is true [Option ID = 47088]
4. only I and II are true [Option ID = 47087]
Correct Answer :-
only I, III, and IV are true [Option ID = 47089]
33)
34)
35)
36)
[Question ID = 19291]
1. [Option ID = 47156]
2. [Option ID = 47157]
3. [Option ID = 47158]
4. [Option ID = 47155]
Correct Answer :-
[Option ID = 47155]
[Question ID = 19262]
1. [Option ID = 47040]
2. [Option ID = 47039]
3. [Option ID = 47041]
4. [Option ID = 47042]
Correct Answer :-
[Option ID = 47040]
[Question ID = 19273]
1. [Option ID = 47084]
2. [Option ID = 47085]
3. [Option ID = 47086]
4. [Option
ID = 47083]
Correct Answer :-
37)
38)
39)
[Question ID = 19258]
1. [Option ID = 47026]
2. [Option ID = 47023]
3. [Option ID = 47024]
4. [Option ID = 47025]
Correct Answer :-
[Option ID = 47024]
[Question ID = 19278]
1. 15 [Option ID = 47106]
2. 10 [Option ID = 47105]
3. 20 [Option ID = 47104]
4. 22 [Option ID = 47103]
Correct Answer :-
[Question ID = 19266]
1. [Option ID = 47057]
2. [Option ID = 47055]
3. [Option ID = 47056]
4. [Option ID = 47058]
Correct Answer :-
[Option ID = 47055]
[Question ID = 19279]
1. II is false but I is true. [Option ID = 47107]
2. both I and II are true. [Option ID = 47109]
3. both I and II are false. [Option ID = 47110]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
4)
5)
6)
7)
DU MPhil Phd in Mathematics
Topic:- DU_J18_MPHIL_MATHS_Topic01
The mathematician who was awarded Abel?s prize for a proof of Fermat?s Last Theorem is [Question ID = 19249]
1. Andrew Wiles. [Option ID = 46987]
2. Johan F. Nash. [Option ID = 46988]
3. S. R. Srinivasa Varadhan. [Option ID = 46989]
4. Lennart Carleson. [Option ID = 46990]
Correct Answer :-
Andrew Wiles. [Option ID = 46987]
Founder of Indian Mathematical Society(IMS) was [Question ID = 19252]
1. Asutosh Mukherjee. [Option ID = 47000]
2. S. Narayana Aiyer. [Option ID = 47001]
3. M.T. Narayaniyengar. [Option ID = 47002]
4. V. Ramaswamy Aiyer. [Option ID = 46999]
Correct Answer :-
V. Ramaswamy Aiyer. [Option ID = 46999]
Let R be a commutative ring with identity. If R is an Artinian domain, then the total number of prime ideals in R is [Question ID = 19280]
1. 1 [Option ID = 47111]
2. in?nite. [Option ID = 47114]
3. 3 [Option ID = 47113]
4. 2 [Option ID = 47112]
Correct Answer :-
1 [Option ID = 47111]
Riemann hypothesis is associated with the function [Question ID = 19250]
1. [Option ID = 46991]
2. [Option ID = 46992]
3. [Option ID = 46994]
4. [Option ID = 46993]
Correct Answer :-
[Option ID = 46993]
For the stream function of a two dimensional motion, which of the following is not true
[Question ID = 19297]
1. Stream function is constant along a stream line. [Option ID = 47181]
2. Stream function is harmonic. [Option ID = 47180]
3. Stream function exists for steady motion of compressible ?uid. [Option ID = 47179]
4. [Option ID = 47182]
Correct Answer :-
[Option ID = 47182]
The famous Indian mathematician Srinivas Ramanujan passed away in the year [Question ID = 19248]
1. 1920 [Option ID = 46984]
2. 1922 [Option ID = 46985]
3. 1921 [Option ID = 46983]
4. 1919 [Option ID = 46986]
Correct Answer :-
1920 [Option ID = 46984]
Let F be a ?nite ?eld with 9 elements. How many elements of F have order 8? [Question ID = 19287]
8)
9)
10)
11)
1. 1 [Option ID = 47142]
2. 4 [Option ID = 47140]
3. 8 [Option ID = 47139]
4. 2 [Option ID = 47141]
Correct Answer :-
4 [Option ID = 47140]
[Question ID = 19293]
1. all of I, II and III are true. [Option ID = 47163]
2. only I and III are true. [Option ID = 47164]
3. only I and II are true. [Option ID = 47165]
4. only II and III are true. [Option ID = 47166]
Correct Answer :-
only I and III are true. [Option ID = 47164]
[Question ID = 19276]
1. III and IV only. [Option ID = 47096]
2. II and III only [Option ID = 47098]
3. I and IV only. [Option ID = 47097]
4. I and II only. [Option ID = 47095]
Correct Answer :-
I and IV only. [Option ID = 47097]
[Question ID = 19296]
1. only I, II, IV are true. [Option ID = 47175]
2. only I, III, IV are true. [Option ID = 47177]
3. only I, II, III are true. [Option ID = 47176]
4. only II, III, IV are true. [Option ID = 47178]
Correct Answer :-
only I, II, III are true. [Option ID = 47176]
12)
13)
14)
15)
[Question ID = 19277]
1. exactly two units. [Option ID = 47099]
2. exactly eight units. [Option ID = 47101]
3. exactly four units. [Option ID = 47100]
4. in?nitely many units. [Option ID = 47102]
Correct Answer :-
exactly four units. [Option ID = 47100]
[Question ID = 19263]
1. does not exist [Option ID = 47046]
2. equals 0. [Option ID = 47043]
3. equals 5. [Option ID = 47044]
4. [Option ID = 47045]
Correct Answer :-
[Option ID = 47045]
[Question ID = 19269]
1. 1 [Option ID = 47067]
2. [Option ID = 47070]
3. [Option ID = 47068]
4. [Option ID = 47069]
Correct Answer :-
[Option ID = 47068]
[Question ID = 19260]
1. [Option ID = 47033]
2. [Option ID = 47034]
3. [Option ID = 47032]
4. [Option ID = 47031]
Correct Answer :-
[Option ID = 47033]
16)
17)
18)
19)
[Question ID = 19259]
1. all statements are correct. [Option ID = 47030]
2. only III is correct. [Option ID = 47028]
3. only II, III, IV are correct. [Option ID = 47027]
4. only III and IV are correct. [Option ID = 47029]
Correct Answer :-
[Question ID = 19271]
1. neither open nor closed [Option ID = 47078]
2. open but not closed [Option ID = 47075]
3. both open and closed [Option ID = 47077]
4. closed but not open [Option ID = 47076]
Correct Answer :-
both open and closed [Option ID = 47077]
[Question ID = 19288]
1. does not exist. [Option ID = 47146]
2. equals 1/2. [Option ID = 47145]
3. equals 0. [Option ID = 47143]
4. equals 1. [Option ID = 47144]
Correct Answer :-
does not exist. [Option ID = 47146]
[Question ID = 19256]
1. 2 [Option ID = 47017]
2. ?1 [Option ID = 47018]
3. 1 [Option ID = 47015]
4. 0 [Option ID = 47016]
Correct Answer :-
1 [Option ID = 47015]
[Question ID = 19255]
1. [Option ID = 47013]
2. [Option ID = 47014]
20)
21)
22)
23)
3. [Option ID = 47011]
4. [Option ID = 47012]
Correct Answer :-
[Option ID = 47011]
[Question ID = 19289]
1. [Option ID = 47150]
2. [Option ID = 47147]
3. [Option ID = 47149]
4. [Option ID = 47148]
Correct Answer :-
[Option ID = 47149]
[Question ID = 19257]
1. [Option ID = 47020]
2. [Option ID = 47021]
3. [Option ID = 47022]
4. [Option ID = 47019]
Correct Answer :-
[Option ID = 47020]
[Question ID = 19286]
1. [Option ID = 47135]
2. [Option ID = 47137]
3. [Option ID = 47136]
4. [Option ID = 47138]
Correct Answer :-
24)
25)
26)
[Question ID = 19290]
1. [Option ID = 47154]
2. [Option ID = 47151]
3. [Option ID = 47153]
4. [Option ID = 47152]
Correct Answer :-
[Option ID = 47152]
[Question ID = 19264]
1. 1 [Option ID = 47048]
2. [Option ID = 47049]
3. [Option ID = 47050]
4. [Option ID = 47047]
Correct Answer :-
1 [Option ID = 47048]
[Question ID = 19282]
1. [Option ID = 47119]
2. [Option ID = 47121]
3. [Option ID = 47120]
4. [Option ID = 47122]
Correct Answer :-
[Option ID = 47122]
27)
28)
29)
[Question ID = 19295]
1. only I, II, IV are true. [Option ID = 47172]
2. only I, III, IV are true. [Option ID = 47173]
3. only I, II, III are true. [Option ID = 47171]
4. only II, III, IV are true. [Option ID = 47174]
Correct Answer :-
only I, III, IV are true. [Option ID = 47173]
[Question ID = 19281]
1. only I and III are true. [Option ID = 47117]
2. only I and II are true. [Option ID = 47116]
3. only I is true. [Option ID = 47115]
4. all statements are true. [Option ID = 47118]
Correct Answer :-
all statements are true. [Option ID = 47118]
[Question ID = 19285]
1. 1 [Option ID = 47131]
2. 2 [Option ID = 47132]
3. [Option ID = 47133]
4. [Option ID = 47134]
Correct Answer :-
1 [Option ID = 47131]
[Question ID = 19272]
1. a path connected space [Option ID = 47081]
2. connected but not locally connected [Option ID = 47079]
30)
31)
32)
3. a locally path connected space [Option ID = 47082]
4. locally connected but not connected [Option ID = 47080]
Correct Answer :-
connected but not locally connected [Option ID = 47079]
[Question ID = 19275]
1. [Option ID = 47094]
2. [Option ID = 47093]
3. [Option ID = 47091]
4. [Option ID = 47092]
Correct Answer :-
[Option ID = 47094]
[Question ID = 19265]
1. [Option ID = 47053]
2. [Option ID = 47052]
3. [Option ID = 47051]
4. [Option ID = 47054]
Correct Answer :-
[Option ID = 47053]
[Question ID = 19274]
1. only I, III, and IV are true [Option ID = 47089]
2. all the statements are true.. [Option ID = 47090]
3. only III is true [Option ID = 47088]
4. only I and II are true [Option ID = 47087]
Correct Answer :-
only I, III, and IV are true [Option ID = 47089]
33)
34)
35)
36)
[Question ID = 19291]
1. [Option ID = 47156]
2. [Option ID = 47157]
3. [Option ID = 47158]
4. [Option ID = 47155]
Correct Answer :-
[Option ID = 47155]
[Question ID = 19262]
1. [Option ID = 47040]
2. [Option ID = 47039]
3. [Option ID = 47041]
4. [Option ID = 47042]
Correct Answer :-
[Option ID = 47040]
[Question ID = 19273]
1. [Option ID = 47084]
2. [Option ID = 47085]
3. [Option ID = 47086]
4. [Option
ID = 47083]
Correct Answer :-
37)
38)
39)
[Question ID = 19258]
1. [Option ID = 47026]
2. [Option ID = 47023]
3. [Option ID = 47024]
4. [Option ID = 47025]
Correct Answer :-
[Option ID = 47024]
[Question ID = 19278]
1. 15 [Option ID = 47106]
2. 10 [Option ID = 47105]
3. 20 [Option ID = 47104]
4. 22 [Option ID = 47103]
Correct Answer :-
[Question ID = 19266]
1. [Option ID = 47057]
2. [Option ID = 47055]
3. [Option ID = 47056]
4. [Option ID = 47058]
Correct Answer :-
[Option ID = 47055]
[Question ID = 19279]
1. II is false but I is true. [Option ID = 47107]
2. both I and II are true. [Option ID = 47109]
3. both I and II are false. [Option ID = 47110]
40)
41)
42)
4. I is false but II is true. [Option ID = 47108]
Correct Answer :-
I is false but II is true. [Option ID = 47108]
[Question ID = 19267]
1. [Option ID = 47061]
2. [Option ID = 47059]
3. [Option ID = 47060]
4. [Option ID = 47062]
Correct Answer :-
[Option ID = 47062]
[Question ID = 19341]
1. [Option ID = 47358]
2. [Option ID = 47354]
3. [Option ID = 47352]
4. [Option ID = 47356]
Correct Answer :-
[Option ID = 47356]
[Question ID = 19261]
1. [Option ID = 47038]
2. [Option ID = 47036]
3. [Option ID = 47037]
4. [Option ID = 47035]
Correct Answer :-
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
4)
5)
6)
7)
DU MPhil Phd in Mathematics
Topic:- DU_J18_MPHIL_MATHS_Topic01
The mathematician who was awarded Abel?s prize for a proof of Fermat?s Last Theorem is [Question ID = 19249]
1. Andrew Wiles. [Option ID = 46987]
2. Johan F. Nash. [Option ID = 46988]
3. S. R. Srinivasa Varadhan. [Option ID = 46989]
4. Lennart Carleson. [Option ID = 46990]
Correct Answer :-
Andrew Wiles. [Option ID = 46987]
Founder of Indian Mathematical Society(IMS) was [Question ID = 19252]
1. Asutosh Mukherjee. [Option ID = 47000]
2. S. Narayana Aiyer. [Option ID = 47001]
3. M.T. Narayaniyengar. [Option ID = 47002]
4. V. Ramaswamy Aiyer. [Option ID = 46999]
Correct Answer :-
V. Ramaswamy Aiyer. [Option ID = 46999]
Let R be a commutative ring with identity. If R is an Artinian domain, then the total number of prime ideals in R is [Question ID = 19280]
1. 1 [Option ID = 47111]
2. in?nite. [Option ID = 47114]
3. 3 [Option ID = 47113]
4. 2 [Option ID = 47112]
Correct Answer :-
1 [Option ID = 47111]
Riemann hypothesis is associated with the function [Question ID = 19250]
1. [Option ID = 46991]
2. [Option ID = 46992]
3. [Option ID = 46994]
4. [Option ID = 46993]
Correct Answer :-
[Option ID = 46993]
For the stream function of a two dimensional motion, which of the following is not true
[Question ID = 19297]
1. Stream function is constant along a stream line. [Option ID = 47181]
2. Stream function is harmonic. [Option ID = 47180]
3. Stream function exists for steady motion of compressible ?uid. [Option ID = 47179]
4. [Option ID = 47182]
Correct Answer :-
[Option ID = 47182]
The famous Indian mathematician Srinivas Ramanujan passed away in the year [Question ID = 19248]
1. 1920 [Option ID = 46984]
2. 1922 [Option ID = 46985]
3. 1921 [Option ID = 46983]
4. 1919 [Option ID = 46986]
Correct Answer :-
1920 [Option ID = 46984]
Let F be a ?nite ?eld with 9 elements. How many elements of F have order 8? [Question ID = 19287]
8)
9)
10)
11)
1. 1 [Option ID = 47142]
2. 4 [Option ID = 47140]
3. 8 [Option ID = 47139]
4. 2 [Option ID = 47141]
Correct Answer :-
4 [Option ID = 47140]
[Question ID = 19293]
1. all of I, II and III are true. [Option ID = 47163]
2. only I and III are true. [Option ID = 47164]
3. only I and II are true. [Option ID = 47165]
4. only II and III are true. [Option ID = 47166]
Correct Answer :-
only I and III are true. [Option ID = 47164]
[Question ID = 19276]
1. III and IV only. [Option ID = 47096]
2. II and III only [Option ID = 47098]
3. I and IV only. [Option ID = 47097]
4. I and II only. [Option ID = 47095]
Correct Answer :-
I and IV only. [Option ID = 47097]
[Question ID = 19296]
1. only I, II, IV are true. [Option ID = 47175]
2. only I, III, IV are true. [Option ID = 47177]
3. only I, II, III are true. [Option ID = 47176]
4. only II, III, IV are true. [Option ID = 47178]
Correct Answer :-
only I, II, III are true. [Option ID = 47176]
12)
13)
14)
15)
[Question ID = 19277]
1. exactly two units. [Option ID = 47099]
2. exactly eight units. [Option ID = 47101]
3. exactly four units. [Option ID = 47100]
4. in?nitely many units. [Option ID = 47102]
Correct Answer :-
exactly four units. [Option ID = 47100]
[Question ID = 19263]
1. does not exist [Option ID = 47046]
2. equals 0. [Option ID = 47043]
3. equals 5. [Option ID = 47044]
4. [Option ID = 47045]
Correct Answer :-
[Option ID = 47045]
[Question ID = 19269]
1. 1 [Option ID = 47067]
2. [Option ID = 47070]
3. [Option ID = 47068]
4. [Option ID = 47069]
Correct Answer :-
[Option ID = 47068]
[Question ID = 19260]
1. [Option ID = 47033]
2. [Option ID = 47034]
3. [Option ID = 47032]
4. [Option ID = 47031]
Correct Answer :-
[Option ID = 47033]
16)
17)
18)
19)
[Question ID = 19259]
1. all statements are correct. [Option ID = 47030]
2. only III is correct. [Option ID = 47028]
3. only II, III, IV are correct. [Option ID = 47027]
4. only III and IV are correct. [Option ID = 47029]
Correct Answer :-
[Question ID = 19271]
1. neither open nor closed [Option ID = 47078]
2. open but not closed [Option ID = 47075]
3. both open and closed [Option ID = 47077]
4. closed but not open [Option ID = 47076]
Correct Answer :-
both open and closed [Option ID = 47077]
[Question ID = 19288]
1. does not exist. [Option ID = 47146]
2. equals 1/2. [Option ID = 47145]
3. equals 0. [Option ID = 47143]
4. equals 1. [Option ID = 47144]
Correct Answer :-
does not exist. [Option ID = 47146]
[Question ID = 19256]
1. 2 [Option ID = 47017]
2. ?1 [Option ID = 47018]
3. 1 [Option ID = 47015]
4. 0 [Option ID = 47016]
Correct Answer :-
1 [Option ID = 47015]
[Question ID = 19255]
1. [Option ID = 47013]
2. [Option ID = 47014]
20)
21)
22)
23)
3. [Option ID = 47011]
4. [Option ID = 47012]
Correct Answer :-
[Option ID = 47011]
[Question ID = 19289]
1. [Option ID = 47150]
2. [Option ID = 47147]
3. [Option ID = 47149]
4. [Option ID = 47148]
Correct Answer :-
[Option ID = 47149]
[Question ID = 19257]
1. [Option ID = 47020]
2. [Option ID = 47021]
3. [Option ID = 47022]
4. [Option ID = 47019]
Correct Answer :-
[Option ID = 47020]
[Question ID = 19286]
1. [Option ID = 47135]
2. [Option ID = 47137]
3. [Option ID = 47136]
4. [Option ID = 47138]
Correct Answer :-
24)
25)
26)
[Question ID = 19290]
1. [Option ID = 47154]
2. [Option ID = 47151]
3. [Option ID = 47153]
4. [Option ID = 47152]
Correct Answer :-
[Option ID = 47152]
[Question ID = 19264]
1. 1 [Option ID = 47048]
2. [Option ID = 47049]
3. [Option ID = 47050]
4. [Option ID = 47047]
Correct Answer :-
1 [Option ID = 47048]
[Question ID = 19282]
1. [Option ID = 47119]
2. [Option ID = 47121]
3. [Option ID = 47120]
4. [Option ID = 47122]
Correct Answer :-
[Option ID = 47122]
27)
28)
29)
[Question ID = 19295]
1. only I, II, IV are true. [Option ID = 47172]
2. only I, III, IV are true. [Option ID = 47173]
3. only I, II, III are true. [Option ID = 47171]
4. only II, III, IV are true. [Option ID = 47174]
Correct Answer :-
only I, III, IV are true. [Option ID = 47173]
[Question ID = 19281]
1. only I and III are true. [Option ID = 47117]
2. only I and II are true. [Option ID = 47116]
3. only I is true. [Option ID = 47115]
4. all statements are true. [Option ID = 47118]
Correct Answer :-
all statements are true. [Option ID = 47118]
[Question ID = 19285]
1. 1 [Option ID = 47131]
2. 2 [Option ID = 47132]
3. [Option ID = 47133]
4. [Option ID = 47134]
Correct Answer :-
1 [Option ID = 47131]
[Question ID = 19272]
1. a path connected space [Option ID = 47081]
2. connected but not locally connected [Option ID = 47079]
30)
31)
32)
3. a locally path connected space [Option ID = 47082]
4. locally connected but not connected [Option ID = 47080]
Correct Answer :-
connected but not locally connected [Option ID = 47079]
[Question ID = 19275]
1. [Option ID = 47094]
2. [Option ID = 47093]
3. [Option ID = 47091]
4. [Option ID = 47092]
Correct Answer :-
[Option ID = 47094]
[Question ID = 19265]
1. [Option ID = 47053]
2. [Option ID = 47052]
3. [Option ID = 47051]
4. [Option ID = 47054]
Correct Answer :-
[Option ID = 47053]
[Question ID = 19274]
1. only I, III, and IV are true [Option ID = 47089]
2. all the statements are true.. [Option ID = 47090]
3. only III is true [Option ID = 47088]
4. only I and II are true [Option ID = 47087]
Correct Answer :-
only I, III, and IV are true [Option ID = 47089]
33)
34)
35)
36)
[Question ID = 19291]
1. [Option ID = 47156]
2. [Option ID = 47157]
3. [Option ID = 47158]
4. [Option ID = 47155]
Correct Answer :-
[Option ID = 47155]
[Question ID = 19262]
1. [Option ID = 47040]
2. [Option ID = 47039]
3. [Option ID = 47041]
4. [Option ID = 47042]
Correct Answer :-
[Option ID = 47040]
[Question ID = 19273]
1. [Option ID = 47084]
2. [Option ID = 47085]
3. [Option ID = 47086]
4. [Option
ID = 47083]
Correct Answer :-
37)
38)
39)
[Question ID = 19258]
1. [Option ID = 47026]
2. [Option ID = 47023]
3. [Option ID = 47024]
4. [Option ID = 47025]
Correct Answer :-
[Option ID = 47024]
[Question ID = 19278]
1. 15 [Option ID = 47106]
2. 10 [Option ID = 47105]
3. 20 [Option ID = 47104]
4. 22 [Option ID = 47103]
Correct Answer :-
[Question ID = 19266]
1. [Option ID = 47057]
2. [Option ID = 47055]
3. [Option ID = 47056]
4. [Option ID = 47058]
Correct Answer :-
[Option ID = 47055]
[Question ID = 19279]
1. II is false but I is true. [Option ID = 47107]
2. both I and II are true. [Option ID = 47109]
3. both I and II are false. [Option ID = 47110]
40)
41)
42)
4. I is false but II is true. [Option ID = 47108]
Correct Answer :-
I is false but II is true. [Option ID = 47108]
[Question ID = 19267]
1. [Option ID = 47061]
2. [Option ID = 47059]
3. [Option ID = 47060]
4. [Option ID = 47062]
Correct Answer :-
[Option ID = 47062]
[Question ID = 19341]
1. [Option ID = 47358]
2. [Option ID = 47354]
3. [Option ID = 47352]
4. [Option ID = 47356]
Correct Answer :-
[Option ID = 47356]
[Question ID = 19261]
1. [Option ID = 47038]
2. [Option ID = 47036]
3. [Option ID = 47037]
4. [Option ID = 47035]
Correct Answer :-
43)
44)
45)
46)
47)
[Option ID = 47037]
[Question ID = 19292]
1. [Option ID = 47162]
2. [Option ID = 47160]
3. [Option ID = 47159]
4. [Option ID = 47161]
Correct Answer :-
[Option ID = 47159]
Which of the following statements is true [Question ID = 19253]
1. [Option ID = 47005]
2. [Option ID = 47004]
3. [Option ID = 47003]
4. [Option ID = 47006]
Correct Answer :-
[Option ID = 47004]
Which of the following statements is not true [Question ID = 19254]
1. The set of all algebraic numbers is countable. [Option ID = 47010]
2. The set of rational numbers is equivalent to the set of natural numbers [Option ID = 47008]
3. [Option ID = 47009]
4. [Option ID = 47007]
Correct Answer :-
[Option ID = 47009]
Which of the following statements is not true [Question ID = 19270]
1. An uncountable discrete space is not separable. [Option ID = 47072]
2. Every closed subspace of a separable space is separable. [Option ID = 47073]
3. Every compact metric space is Lindelof. [Option ID = 47074]
4. Every second countable space is separable. [Option ID = 47071]
Correct Answer :-
Every closed subspace of a separable space is separable. [Option ID = 47073]
Which of the following is not correct (Here [V : F] denotes the dimension of the vector space V over F) [Question ID = 19284]
1. [Option ID = 47130]
2. [Option ID = 47129]
3. [Option ID = 47127]
FirstRanker.com - FirstRanker's Choice
1)
2)
3)
4)
5)
6)
7)
DU MPhil Phd in Mathematics
Topic:- DU_J18_MPHIL_MATHS_Topic01
The mathematician who was awarded Abel?s prize for a proof of Fermat?s Last Theorem is [Question ID = 19249]
1. Andrew Wiles. [Option ID = 46987]
2. Johan F. Nash. [Option ID = 46988]
3. S. R. Srinivasa Varadhan. [Option ID = 46989]
4. Lennart Carleson. [Option ID = 46990]
Correct Answer :-
Andrew Wiles. [Option ID = 46987]
Founder of Indian Mathematical Society(IMS) was [Question ID = 19252]
1. Asutosh Mukherjee. [Option ID = 47000]
2. S. Narayana Aiyer. [Option ID = 47001]
3. M.T. Narayaniyengar. [Option ID = 47002]
4. V. Ramaswamy Aiyer. [Option ID = 46999]
Correct Answer :-
V. Ramaswamy Aiyer. [Option ID = 46999]
Let R be a commutative ring with identity. If R is an Artinian domain, then the total number of prime ideals in R is [Question ID = 19280]
1. 1 [Option ID = 47111]
2. in?nite. [Option ID = 47114]
3. 3 [Option ID = 47113]
4. 2 [Option ID = 47112]
Correct Answer :-
1 [Option ID = 47111]
Riemann hypothesis is associated with the function [Question ID = 19250]
1. [Option ID = 46991]
2. [Option ID = 46992]
3. [Option ID = 46994]
4. [Option ID = 46993]
Correct Answer :-
[Option ID = 46993]
For the stream function of a two dimensional motion, which of the following is not true
[Question ID = 19297]
1. Stream function is constant along a stream line. [Option ID = 47181]
2. Stream function is harmonic. [Option ID = 47180]
3. Stream function exists for steady motion of compressible ?uid. [Option ID = 47179]
4. [Option ID = 47182]
Correct Answer :-
[Option ID = 47182]
The famous Indian mathematician Srinivas Ramanujan passed away in the year [Question ID = 19248]
1. 1920 [Option ID = 46984]
2. 1922 [Option ID = 46985]
3. 1921 [Option ID = 46983]
4. 1919 [Option ID = 46986]
Correct Answer :-
1920 [Option ID = 46984]
Let F be a ?nite ?eld with 9 elements. How many elements of F have order 8? [Question ID = 19287]
8)
9)
10)
11)
1. 1 [Option ID = 47142]
2. 4 [Option ID = 47140]
3. 8 [Option ID = 47139]
4. 2 [Option ID = 47141]
Correct Answer :-
4 [Option ID = 47140]
[Question ID = 19293]
1. all of I, II and III are true. [Option ID = 47163]
2. only I and III are true. [Option ID = 47164]
3. only I and II are true. [Option ID = 47165]
4. only II and III are true. [Option ID = 47166]
Correct Answer :-
only I and III are true. [Option ID = 47164]
[Question ID = 19276]
1. III and IV only. [Option ID = 47096]
2. II and III only [Option ID = 47098]
3. I and IV only. [Option ID = 47097]
4. I and II only. [Option ID = 47095]
Correct Answer :-
I and IV only. [Option ID = 47097]
[Question ID = 19296]
1. only I, II, IV are true. [Option ID = 47175]
2. only I, III, IV are true. [Option ID = 47177]
3. only I, II, III are true. [Option ID = 47176]
4. only II, III, IV are true. [Option ID = 47178]
Correct Answer :-
only I, II, III are true. [Option ID = 47176]
12)
13)
14)
15)
[Question ID = 19277]
1. exactly two units. [Option ID = 47099]
2. exactly eight units. [Option ID = 47101]
3. exactly four units. [Option ID = 47100]
4. in?nitely many units. [Option ID = 47102]
Correct Answer :-
exactly four units. [Option ID = 47100]
[Question ID = 19263]
1. does not exist [Option ID = 47046]
2. equals 0. [Option ID = 47043]
3. equals 5. [Option ID = 47044]
4. [Option ID = 47045]
Correct Answer :-
[Option ID = 47045]
[Question ID = 19269]
1. 1 [Option ID = 47067]
2. [Option ID = 47070]
3. [Option ID = 47068]
4. [Option ID = 47069]
Correct Answer :-
[Option ID = 47068]
[Question ID = 19260]
1. [Option ID = 47033]
2. [Option ID = 47034]
3. [Option ID = 47032]
4. [Option ID = 47031]
Correct Answer :-
[Option ID = 47033]
16)
17)
18)
19)
[Question ID = 19259]
1. all statements are correct. [Option ID = 47030]
2. only III is correct. [Option ID = 47028]
3. only II, III, IV are correct. [Option ID = 47027]
4. only III and IV are correct. [Option ID = 47029]
Correct Answer :-
[Question ID = 19271]
1. neither open nor closed [Option ID = 47078]
2. open but not closed [Option ID = 47075]
3. both open and closed [Option ID = 47077]
4. closed but not open [Option ID = 47076]
Correct Answer :-
both open and closed [Option ID = 47077]
[Question ID = 19288]
1. does not exist. [Option ID = 47146]
2. equals 1/2. [Option ID = 47145]
3. equals 0. [Option ID = 47143]
4. equals 1. [Option ID = 47144]
Correct Answer :-
does not exist. [Option ID = 47146]
[Question ID = 19256]
1. 2 [Option ID = 47017]
2. ?1 [Option ID = 47018]
3. 1 [Option ID = 47015]
4. 0 [Option ID = 47016]
Correct Answer :-
1 [Option ID = 47015]
[Question ID = 19255]
1. [Option ID = 47013]
2. [Option ID = 47014]
20)
21)
22)
23)
3. [Option ID = 47011]
4. [Option ID = 47012]
Correct Answer :-
[Option ID = 47011]
[Question ID = 19289]
1. [Option ID = 47150]
2. [Option ID = 47147]
3. [Option ID = 47149]
4. [Option ID = 47148]
Correct Answer :-
[Option ID = 47149]
[Question ID = 19257]
1. [Option ID = 47020]
2. [Option ID = 47021]
3. [Option ID = 47022]
4. [Option ID = 47019]
Correct Answer :-
[Option ID = 47020]
[Question ID = 19286]
1. [Option ID = 47135]
2. [Option ID = 47137]
3. [Option ID = 47136]
4. [Option ID = 47138]
Correct Answer :-
24)
25)
26)
[Question ID = 19290]
1. [Option ID = 47154]
2. [Option ID = 47151]
3. [Option ID = 47153]
4. [Option ID = 47152]
Correct Answer :-
[Option ID = 47152]
[Question ID = 19264]
1. 1 [Option ID = 47048]
2. [Option ID = 47049]
3. [Option ID = 47050]
4. [Option ID = 47047]
Correct Answer :-
1 [Option ID = 47048]
[Question ID = 19282]
1. [Option ID = 47119]
2. [Option ID = 47121]
3. [Option ID = 47120]
4. [Option ID = 47122]
Correct Answer :-
[Option ID = 47122]
27)
28)
29)
[Question ID = 19295]
1. only I, II, IV are true. [Option ID = 47172]
2. only I, III, IV are true. [Option ID = 47173]
3. only I, II, III are true. [Option ID = 47171]
4. only II, III, IV are true. [Option ID = 47174]
Correct Answer :-
only I, III, IV are true. [Option ID = 47173]
[Question ID = 19281]
1. only I and III are true. [Option ID = 47117]
2. only I and II are true. [Option ID = 47116]
3. only I is true. [Option ID = 47115]
4. all statements are true. [Option ID = 47118]
Correct Answer :-
all statements are true. [Option ID = 47118]
[Question ID = 19285]
1. 1 [Option ID = 47131]
2. 2 [Option ID = 47132]
3. [Option ID = 47133]
4. [Option ID = 47134]
Correct Answer :-
1 [Option ID = 47131]
[Question ID = 19272]
1. a path connected space [Option ID = 47081]
2. connected but not locally connected [Option ID = 47079]
30)
31)
32)
3. a locally path connected space [Option ID = 47082]
4. locally connected but not connected [Option ID = 47080]
Correct Answer :-
connected but not locally connected [Option ID = 47079]
[Question ID = 19275]
1. [Option ID = 47094]
2. [Option ID = 47093]
3. [Option ID = 47091]
4. [Option ID = 47092]
Correct Answer :-
[Option ID = 47094]
[Question ID = 19265]
1. [Option ID = 47053]
2. [Option ID = 47052]
3. [Option ID = 47051]
4. [Option ID = 47054]
Correct Answer :-
[Option ID = 47053]
[Question ID = 19274]
1. only I, III, and IV are true [Option ID = 47089]
2. all the statements are true.. [Option ID = 47090]
3. only III is true [Option ID = 47088]
4. only I and II are true [Option ID = 47087]
Correct Answer :-
only I, III, and IV are true [Option ID = 47089]
33)
34)
35)
36)
[Question ID = 19291]
1. [Option ID = 47156]
2. [Option ID = 47157]
3. [Option ID = 47158]
4. [Option ID = 47155]
Correct Answer :-
[Option ID = 47155]
[Question ID = 19262]
1. [Option ID = 47040]
2. [Option ID = 47039]
3. [Option ID = 47041]
4. [Option ID = 47042]
Correct Answer :-
[Option ID = 47040]
[Question ID = 19273]
1. [Option ID = 47084]
2. [Option ID = 47085]
3. [Option ID = 47086]
4. [Option
ID = 47083]
Correct Answer :-
37)
38)
39)
[Question ID = 19258]
1. [Option ID = 47026]
2. [Option ID = 47023]
3. [Option ID = 47024]
4. [Option ID = 47025]
Correct Answer :-
[Option ID = 47024]
[Question ID = 19278]
1. 15 [Option ID = 47106]
2. 10 [Option ID = 47105]
3. 20 [Option ID = 47104]
4. 22 [Option ID = 47103]
Correct Answer :-
[Question ID = 19266]
1. [Option ID = 47057]
2. [Option ID = 47055]
3. [Option ID = 47056]
4. [Option ID = 47058]
Correct Answer :-
[Option ID = 47055]
[Question ID = 19279]
1. II is false but I is true. [Option ID = 47107]
2. both I and II are true. [Option ID = 47109]
3. both I and II are false. [Option ID = 47110]
40)
41)
42)
4. I is false but II is true. [Option ID = 47108]
Correct Answer :-
I is false but II is true. [Option ID = 47108]
[Question ID = 19267]
1. [Option ID = 47061]
2. [Option ID = 47059]
3. [Option ID = 47060]
4. [Option ID = 47062]
Correct Answer :-
[Option ID = 47062]
[Question ID = 19341]
1. [Option ID = 47358]
2. [Option ID = 47354]
3. [Option ID = 47352]
4. [Option ID = 47356]
Correct Answer :-
[Option ID = 47356]
[Question ID = 19261]
1. [Option ID = 47038]
2. [Option ID = 47036]
3. [Option ID = 47037]
4. [Option ID = 47035]
Correct Answer :-
43)
44)
45)
46)
47)
[Option ID = 47037]
[Question ID = 19292]
1. [Option ID = 47162]
2. [Option ID = 47160]
3. [Option ID = 47159]
4. [Option ID = 47161]
Correct Answer :-
[Option ID = 47159]
Which of the following statements is true [Question ID = 19253]
1. [Option ID = 47005]
2. [Option ID = 47004]
3. [Option ID = 47003]
4. [Option ID = 47006]
Correct Answer :-
[Option ID = 47004]
Which of the following statements is not true [Question ID = 19254]
1. The set of all algebraic numbers is countable. [Option ID = 47010]
2. The set of rational numbers is equivalent to the set of natural numbers [Option ID = 47008]
3. [Option ID = 47009]
4. [Option ID = 47007]
Correct Answer :-
[Option ID = 47009]
Which of the following statements is not true [Question ID = 19270]
1. An uncountable discrete space is not separable. [Option ID = 47072]
2. Every closed subspace of a separable space is separable. [Option ID = 47073]
3. Every compact metric space is Lindelof. [Option ID = 47074]
4. Every second countable space is separable. [Option ID = 47071]
Correct Answer :-
Every closed subspace of a separable space is separable. [Option ID = 47073]
Which of the following is not correct (Here [V : F] denotes the dimension of the vector space V over F) [Question ID = 19284]
1. [Option ID = 47130]
2. [Option ID = 47129]
3. [Option ID = 47127]
48)
49)
50)
4. [Option ID = 47128]
Correct Answer :-
[Option ID = 47130]
Which of the following Banach spaces is not a Hilbert space [Question ID = 19268]
1. [Option ID = 47064]
2. [Option ID = 47065]
3. [Option ID =
47066]
4. [Option ID = 47063]
Correct Answer :-
[Option ID =
47066]
Which of the following websites is of Mathematical Reviews [Question ID = 19251]
1. https://mathscinet.ams.org [Option ID = 46997]
2. https://mathscinet.ac.in [Option ID = 46995]
3. https://math.ac.au [Option ID = 46996]
4. https://www.mathjournal.org. [Option ID = 46998]
Correct Answer :-
https://mathscinet.ams.org [Option ID = 46997]
Let G be a cyclic group of order 42. The number of distinct composition series of G is [Question ID = 19283]
1. 8 [Option ID = 47126]
2. 16 [Option ID = 47123]
3. 10 [Option ID = 47125]
4. 6 [Option ID = 47124]
Correct Answer :-
6 [Option ID = 47124]
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This post was last modified on 29 January 2020