CSIR-NET Mathematical Science - ALGEBRA MCQ - Attempt Here!

By Renuka Miglani|Updated : June 17th, 2022

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ALGEBRA MCQ

Question 1.

Question 2.

-7+4*3
-5+3*3
2-*3
-3-2*3

Question 3.

Which of the following is/are correct?

If F is a field, then F has only 1 maximal ideal.
If F has only one maximal ideal, then F is a field.
Both (a) and (b) are true.
None of the above

Question 4.

Number of maximal ideal of

Question 5.

Number of prime ideal of

Question 6.

Which of the following(s) is/are true?

Number of conjugacy class of is 4
Number of conjugacy class of is 5
24=1+6+8+6+3 is the class equation of
24=1+8+8+4+3 is the class equation of

Question 7.

The order of 2-Sylow subgroup in G

2⁶
2⁷
5³
None of the above

Question 8.

Which of the following is true?

Any abelian group of order 27 is cyclic
Any abelian group of order 14 is cyclic
Any abelian group of order 21 is cyclic
Any abelian group of order 30 is cyclic

Question 9.

Let G be finite group and let p be prime. Let N(p) denotes the number of sylow subgroups of G. If O (G)=21.Then which of the following(s) is/are not possible?

N(3)=1
N(3)=7
N(7)=1
N(7)=7

Question 10.

Let G be a group of order 231.then the number of elements of order 11 in G is

Answer Key for ALGEBRA
Question Number	Answer Key
1	A, B & C
2	A & C
3	A
4	A
5	B
6	B & C
7	B
8	B, C & D
9	D
10	A

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