**1. If a set contains 3 elements then the number of subsets is?**a) 6

b) 3

c) 12

**d) 8**

**2. The set containing all the collection of subsets is known as _________**a) Subset

**b) Power set**

c) Union set

d) None of the mentioned

Explanation: Power set contains all the subsets as its elements.

**3. If a set is empty then number of subsets will be _________a) 1**

b) 2

c) 0

d) 4

Explanation: The set has zero elements so 2

^{o}= 1.

**4. If the number of subsets of a set are 4 then the number of elements in that sets are _________**a) 1

**b) 2**

c) 3

d) 4

Explanation: The number of elements be x then x

^{2}= 4 thus x=2.

**5. The number of subsets of a set is 5.**a) True

**b) False**

Explanation: The number of subsets will always be a power of 2.

**6. The number of subsets of a set can be odd or even.a) True**

b) False

.

**7. Let a set be A={1, 2, 3} then the number of subsets containing two elements will be _________**a) 4

**b) 3**

c) 5

d) 8

Explanation: The subsets will be {1, 2}, {2, 3}, {1, 3}.

**8. Let the set be A= {a, b, c, {a,b}} then which of the following is false?**a) {a, b} Є A

b) a Є A

**c) {a} Є A**

d) b, c ЄA

**9. If A={1, 2, 3, 4}, then the number of the subsets of A that contain the element 2 but not 3, is?**a) 16

**b) 4**

c) 8

d) 24

Explanation: The subsets would be {1, 2, 4},{1, 2}, {2, 3}, {2}.

**10. Let A(1), A(2), A(3),…….., A(100) be 100 sets such that number of elements in A(i)=i+1 and A(1) is subset of A(2), A(2)is subset of A(3),….., A(99) is subset of A(100). The number of elements in union of the all the sets are: n(A(1) U A(2) U A(3) …..U A(100)).**

a) 99

b) 100

**c) 101**

d) 102