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Mathematics Practice Test

Mathematics Practice Test consist of math mcqs test papers. Test also consist of answers and each question explanations. These mcqs were uploaded on daily basis. So visit this page on daily basis for math best preparation

3000+ Mathematicsall subject MCQs with their Answeers

Q.01 How many conjugaccy classes in S_4  ?
A. 2
B. 3
C. 4
D. 5

Check Answer
D
View Explanation
  Number of conjugacy clases of  S_n  is the P(n) where P(n) is positive integar partition of n.

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
B

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
C
View Explanation
The only homomorphism from Z to Z are the identity and zero mapings
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
A
View Explanation
As Z ‘ =U(n,n+1) is open hence Z is closed this implies closure of Z is itself.  So Z clouser=ZUZ’= Z

Correct option is A

Q.5 If N is any Normal sub-group of V_4 then \frac{V_4}{N} is
A.  Abelien
B.  Non cyclic
C   Both a and b
D.  None of these

Check Answer
A
View Explanation
As V_4 is abelain and quitent of abelain is abelian. So, Correct option is A

Q.6 If w is the imaginary cub root of unity then (1+w-w^2)^7 is
A.   128w
B.  -128w
C.  128w²
D. -128w²

Check Answer
D
View Explanation
  

We\; know\; that\\ 1+w+w^2=0\\ And\\ 1+w=-w^2\\ Also\\ w^3=1\\ Now\\ (1+w-w^2)^7=(-w^2-w^2)^7=(-2w^2)^7=-128w^2

So, Correct option is D

Q.7 Let G be a group then factor \frac{G}{G} is
A. Cyclic
B. Normal
C Both a and b
D. None

Check Answer
C
View Explanation
We know that  \frac{G}{G} ={G} which is trivialy cyclic. Also every group is itself normal. So, Correct option is C

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
B
View Explanation
Let V be a vector point function. V is solenoid if divV=0

 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
B
View Explanation

\int_{0}^{1}2xdx-\int_{0}^{1}x^2dx= x^{2}|_{0}^{1}-\frac{x^3}{3}|_{0}^{1}=1-1/3=2/3. 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
C
View Explanation

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

2 comments

  1. Appreciate the recommendation. Let me try it out.

  2. Informative and knowldegable

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