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3000+ Mathematicsall subject MCQs with their Answeers

Q.01 How many conjugaccy classes in ?

A. 2

B. 3

C. 4

D. 5

**Check Answer**

**View Explanation**As

4=4

4=2+2

4=1+1+1+1

4=1+1+2

4=1+3

Option D is corect

Q.02 If G is abelian then G/z(G) is

A. Non cyclic

B. cyclic

C. Non abelian

D. None

**Check Answer**

Q.3 Let Z be the Ring Of integars the total number of Homomorphism From Z to Z is

A. 1

B. 3

C. 2

D. none of these

**Check Answer**

**View Explanation**Correct option is C

Q.4 Let R be the usual metric space and Z be the set of integer then the clouser of Z is

A. Z

B. R

C. Q

D. N

**Check Answer**

**View Explanation**Correct option is A

Q.5 If N is any Normal sub-group of then is

A. Abelien

B. Non cyclic

C Both a and b

D. None of these

**Check Answer**

**View Explanation**Q.6 If w is the imaginary cub root of unity then is

A. 128w

B. -128w

C. 128w²

D. -128w²

**Check Answer**

**View Explanation**So, Correct option is D

Q.7 Let G be a group then factor is

A. Cyclic

B. Normal

C Both a and b

D. None

**Check Answer**

**View Explanation**Q.8 if V is a vector and div V=0 then V is

A. Irrotational

B. Solenoid

C. Hermition

D. None of these

**Check Answer**

**View Explanation**and irrotational if curl V=0. So, Correct option is B

Q.9 Consider these two functions f(x) = x² and g(x) = 2x. What is the area between these two functions between the x values of 0 and 1?

A. 1/3

B. 2/3

C. 3/2

D. 3/4

**Check Answer**

**View Explanation**. So, Correct option is B

Q.10 The center of mass of semi-circular lamina y^2 = a^2+x^2 in the upper half lies on the

A. origin

B. x-axis

C. y-axis

D. non of these

**Check Answer**

**View Explanation**Semi Circular Means Half Circular Lamina is Filled Curve. So for Upper Half, it lies on Y axis.

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