Classical

Set Theory and Algebra MCQ - Sets

51:  

 If every element of a group G is its own inverse, then G is

A.

infinite

B.

finite

C.

cyclic

D.

abeian

 
 

Option: D

Explanation :


52:  

The universal relation A x A on A is

A.

an equivalence relation

B.

anti-symmetric

C.

a partial ordering relation

D.

not symmetric and not anti-symmetric

 
 

Option: A

Explanation :


53:  

Total number of diferent partitions of a set having four elements is

A.

16

B.

8

C.

15

D.

4

 
 

Option: C

Explanation :


54:  

A partition of {1, 2, 3, 4, 5} is the family

A.

{(1, 2),(3, 4),(3, 5)}

B.

{φ(1, 2),(3, 4),(5)}

C.

{(1, 2, 3),(5)}

D.

{(1, 2,), (3, 4, 5)}

 
 

Option: D

Explanation :


55:  

Let s(w) denote the set of al the letters in w where w is an English word. Let us denote set equality, subset and union relations by =, and respectively.

Which of the following is NOT true?

A.

s(ten)  s(twenty)

B.

s(stored) = s(sorted)

C.

s(sixty) ⊂ (s(six)  ∪ s(twenty)

D.

None of these

 
 

Option: D

Explanation :




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