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Mathematics → Sets, Functions, and Groups MCQs

Sets, Functions and Groups Multiple Choice Questions (MCQs) Page-1. The following quizzes are from sets, their properties, functions, and groups. Find answers and solutions to the questions at the bottom of the page.

**Pages: 1 | 2**

**1.** If the number of elements in a set *S* are 5. Then the number of elements of the power set *P*(*S*) are ?

(A) 5

(B) 6

(C) 16

(D) 32

**2.** The shaded region of the venn diagram

is represented by ?

(A) A’

(B) B’

(C) A – B

(D) B – A

**3.** The inverse of q → p is ?

(A) p → q

(B) ∼p → ∼q

(C) ∼q → ∼p

(D) none of these

**4.** The logical form of (A∪B)’ = A’ ∩ B’ is ?

(A) ∼(p ∨ q) = ∼p ∧ ∼q

(B) ∼(p ∧ q) = ∼p ∨ ∼q

(C) ∼p ∧ ∼q = ∼(p ∨ q)

(D) ∼p ∨ ∼q = ∼(p ∧ q)

**5.** If the set *G*={1,*w*,*w*^{2}} is an abelian group w.r.t multiplication, then inverse of *w* is ?

(A) 1

(B) *w*

(C) *w*^{2}

(D) it does not contain an inverse

**ANSWERS: SETS, FUNCTIONS & GROUPS MCQS**

1. D

2. A

3. C

4. A

5. C