Classical

Set Theory and Algebra MCQ - Sets

26:  

If (G, .) is a group such that a2 = e, ∀ a ∈ G, then G is

A.

semi group

B.

abelian group

C.

non-abelian group

D.

none of these

 
 

Option: B

Explanation :

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27:  

The inverse of - i in the multiplicative group,{1, - 1,i,- i } is

A.

1

B.

-1

C.

i

D.

-i

 
 

Option: C

Explanation :

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28:  

The set of integers Z with the binary operation "1" defined as a*b =a +b+1 for a, b ∈ Z, is a group. The identity element of this group is

A.

0

B.

1

C.

-1

D.

12

 
 

Option: C

Explanation :

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29:  

 In the group (G, .), the value of (a-1 b)-1 is

A.

ab-1

B.

b-1a

C.

a-1b

D.

ba-1

 
 

Option: B

Explanation :

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30:  

The identity element in the group given below  with respect to matrix  {[x x]} multiplication is


1866
A. 1866
B. 1866
C. 1866
D. 1866
 
 

Option: C

Explanation :

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