**1. {x: x is an integer neither positive nor negative} is ________**

a) Empty set

b) Non-empty set

c) Finite set**d) Non- empty and Finite set**

**2. {x: x is a real number between 1 and 2} is an ________a) Infinite set**b) Finite set

c) Empty set

d) None of the mentioned

**3. Write set {1, 5, 15, 25,…} in set-builder form.**a) {x: either x=1 or x=5n, where n is a real number}

b) {x: either x=1 or x=5n, where n is a integer}

**c) {x: either x=1 or x=5n, where n is an odd natural number}**

d) {x: x=5n, where n is a natural number}

.

**4. Express {x: x= n/ (n+1), n is a natural number less than 7} in roster form.**a) {

^{1}⁄

_{2},

^{2}⁄

_{3},

^{4}⁄

_{5},

^{6}⁄

_{7}}

b) {

^{1}⁄

_{2},

^{2}⁄

_{3},

^{3}⁄

_{4},

^{4}⁄

_{5},

^{5}⁄

_{6},

^{6}⁄

_{7},

^{7}⁄

_{8}}

**c) {**

d) Infinite set

^{1}⁄_{2},^{2}⁄_{3},^{3}⁄_{4},^{4}⁄_{5},^{5}⁄_{6},^{6}⁄_{7}}**5. Number of power set of {a, b}, where a and b are distinct elements.**a) 3

**b) 4**

c) 2

d) 5

Explanation: Power set of {a, b} = {∅, {a, b}, {a}, {b}}.

**6. Which of the following is subset of set {1, 2, 3, 4}?**a) {1, 2}

b) {1, 2, 3}

c) {1}

**d) All of the mentioned**

Explanation: There are total 16 subsets.

**7. A = {****∅****,{****∅****},2,{2,****∅****},3}, which of the following is true?**a) {{∅,{∅}} ∈ A

b) {2} ∈ A

**c)**

**∅**

**⊂**

**A**

d) 3 ⊂ A

Explanation: Empty set is a subset of every set.

**8. Subset of the set A= { } is?**a) A

b) {}

c) ∅

**d) All of the mentioned**

.

**9. {x: x ****∈**** N and x is prime} then it is ________a) Infinite set**b) Finite set

c) Empty set

d) Not a set

.

**10. Convert set {x: x is a positive prime number which divides 72} in roster form.**

a) {2, 3, 5}

b) {2, 3, 6}**c) {2, 3}**d) {∅}