Which of the following is correct?

(a)

{7} ∈ {1,2,3,4,5,6,7,8,9,10}

(b)

7 ∈ {1,2,3,4,5,6,7,8,9,10}

(c)

7 ∉ {1,2,3,4,5,6,7,8,9,10}

(d)

{7} \(\nsubseteq \) {1,2,3,4,5,6,7,8,9,10}

If U = {x | x ∈ N, x < 10} and A = {x | x ∈ N, 2 ≤ x < 6} then (A′)′ is –––––––––.

(a)

{1, 6, 7, 8, 9}

(b)

{1, 2, 3, 4}

(c)

{2, 3, 4, 5}

(d)

{ }

If A = {x, y, z} then the number of non - empty subsets of A is ________.

(a)

8

(b)

5

(c)

6

(d)

7

If A∪B = A∩B, then ________.

(a)

A ≠ B

(b)

A = B

(c)

A ⊂ B

(d)

B ⊂ A

The shaded region in the adjacent diagram represents ______________

(a)

(A∪B)′

(b)

(A∩B)′

(c)

A′∩B′

(d)

A∩B

If n(A) = 10 and n(B) = 15, then the minimum and maximum number of elements in A ∩ B is ________.

(a)

(10,15)

(b)

(15,10)

(c)

(10,0)

(d)

(0,10)

Let A = {∅} and B = P(A), then A∩B is ________.

(a)

{ ∅, {∅} }

(b)

{∅}

(c)

∅

(d)

{0}

A = {set of odd natural numbers}, B = {set of even natural numbers}, then A and B are ___________

(a)

equal set

(b)

equivalent sets

(c)

overlapping sets

(d)

disjoint sets

The set does not have a proper subset is __________

(a)

Finite set

(b)

Infinite set

(c)

Null set

(d)

Singleton set

If U = {x : x\(\in \)N and x<10}, A = {1, 2, 3, 5, 8} and B = {2, 5, 6, 7, 9}, then n[(A∪B)′] is  ________.

(a)

1

(b)

2

(c)

4

(d)

8