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)

If X = {x : x = 4(n – 1), n ∈ N} and Y = {y : y = 3n – 2n – 1, n ∈ N}, then X∪Y is ______________

(a)

W

(b)

X

(c)

Y

(d)

N

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

(a)

{ ∅, {∅} }

(b)

{∅}

(c)

∅

(d)

{0}

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

For any three sets P, Q and R, P-(Q\(\\ \cap \)R) is ________.

(a)

P-(Q\(\cup \)R)

(b)

(P\(\\ \cap \)Q)-R

(c)

(P-Q)\(\cup \)(P-R)

(d)

(P-Q)\(\\ \cap \)(P-R)

Which of the following is true?

(a)

A-B = A\(\cap \)B

(b)

A−B = B −A

(c)

(A\(\cup \)B)' = A'\(\cup \)B'

(d)

(A\(\cap \)B)' = A'\(\cup \)B'

If n(A U B U C) = 100, n(A) = 4x, n(B) = 6x, n(C) = 5x, n(A ∩ B) = 20, n(B ⋂C) = 15, n(A C) = 25 and n(A ⋂ B ⋂ C) = 10 , then the value of x is ________.

(a)

10

(b)

15

(c)

25

(d)

30

For any three sets A, B and C, (A−B)∩(B −C) is equal to ________.

(a)

A only

(b)

B only

(c)

C only

(d)

ф

If J = Set of three sided shapes, K = Set of shapes with two equal sides and L = Set of shapes with right angle, then J ∩ K ⋂ L is ________.

(a)

Set of isoceles triangles

(b)

Set of equilateral triangles

(c)

Set of isoceles right triangles

(d)

Set of right angled triangles

The shaded region in the Venn diagram is ________.

(a)

Z-(XUY)

(b)

(XUY)⋂Z

(c)

Z-(X⋂Y)

(d)

ZU(X∩Y)