# ECAT – Mathematics (Sets, Functions, and Groups)

The following Questions are from sets, their properties, functions, and groups.

**Mathematics-Sets, Functions, and Groups Sample Questions**

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,w2} is an abelian group w.r.t multiplication, then inverse of w is ?

(A) 1

(B) w

(C) w2

(D) it does not contain an inverse

**Answers**

**1. D**

**2. A**

**3. C**

**4. A**

**5. C**

6. Which from the following set has closure property w.r.t addition ?

(A) {0}

(B) {1}

(C) {1,1}

(D) {1,–1}