The set P = {x | x ∈ Z , –1 < x < 1} is a –––––––––.

(a)

Singleton set

(b)

Power set

(c)

Null set

(d)

Subset

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 B ⊆ A then n(A∩B) is –––––––––.

(a)

n(A – B)

(b)

n(B)

(c)

n(B – A)

(d)

n(A)

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

(a)

8

(b)

5

(c)

6

(d)

7

Which of the following is correct?

(a)

∅ ⊆ {a, b}

(b)

∅ ∈ {a, b}

(c)

{a} ∈ {a, b}

(d)

a ⊆ {a, b}

The shaded region in the adjacent diagram represents ______________

(a)

(A∪B)′

(b)

(A∩B)′

(c)

A′∩B′

(d)

A∩B

From the adjacent diagram n[P(AΔB)] is ________.

(a)

8

(b)

16

(c)

32

(d)

64

In a class of 50 boys, 35 boys play Carrom and 20 boys play Chess then the number of boys play both games is________.

(a)

5

(b)

30

(c)

15

(d)

10

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

Number of subsets in set A = {1,2,3} is ________

(a)

3

(b)

6

(c)

8

(d)

9

The set (A - B) U(B - A) is ___________

(a)

AΔB

(b)

AUB

(c)

A∩B

(d)

A'UB'

The set of (A U B) - (A ก B) is ____________

(a)

(AUB)'

(b)

AΔB

(c)

(A∩B)'

(d)

A'UB'

The set {x: x ∈ A, x ∈ B, x ∉ A ∩ B} is___________.

(a)

A ∩ B

(b)

A U B

(c)

A - B

(d)

A Δ B

The number of elements of the set {x : x ∈ Z, x² = I} is ________

(a)

0

(b)

1

(c)

2

(d)

3

The shade region with adjoint diagram represents ___________

(a)

A - B

(b)

B - A

(c)

A'

(d)

B'

Insert the appropriate symbol \(\subseteq \) or \(\nsubseteq \) in each blank to make a true statement.
{10, 20, 30} ____ {10, 20, 30, 40}

Find the number of subsets and the number of proper subsets of a set X = {a, b, c, x, y, z}.

If U = {c, d, e, f, g, h, i, j} and A = { c, d, g, j} , find A′.

If A = {1, 2, 6} and B = {2, 3, 4} , find A∪B.

If P = {m, n} and Q = {m, i, j}, represent P and Q in Venn diagram and find P∪Q.

Out of 500 car owners investigated, 400 owned car A and 200 owned car B, 50 owned both A and B cars. Is this data correct?

Insert the appropriate symbol ∈ (belongs to) or ∉ (does not belong to) in the blanks.

Given that A = {1,3,5,7} B = {1,2,4,6,8}. Find
(i) AΔB and
(ii) BΔA

From the venn-diagram, list the following:

(i) A
(ii) B
(iii) A ∩ B
(iv) AU B
(v) A-B
(vi) B-A
(vii) (A - B) ∩ (B - A)

In a class there are 40 students. 26 have opted for Mathematics and 24 have opted for Science. How many student have opted for Mathematics and Science.