The number of subsets of a set containing n elements is _____.

1

(a)

2ⁿ - 2

(b)

n²

(c)

2ⁿ

(d)

n

For any two sets A and B, \(A\cap(A\cup B)=\)_____.

1

(a)

B

(b)

A

(c)

ф

(d)

none of these

If \(A\cap B=B\) then _____.

1

(a)

B⊂A

(b)

A=ф

(c)

A⊂B

(d)

B=ф

For any two sets A and B, (A - B) \(\cup\) (B - A)=_____.

1

(a)

(A - B) \(\cup\) A

(b)

(B - A) \(\cup\) B

(c)

(A \(\cup\) B) - (A \(\cap\) B)

(d)

(A \(\cup\) B) \(\cap\) (A \(\cap\) B)

For any two sets A and B, A \(\cup\) B = A iff _____.

1

(a)

A ⊂ B

(b)

B∈A

(c)

A=B

(d)

A\(\ne\)B

If A and B are two sets then A \(\cap\) (A \(\cap\) B') =_______.

1

(a)

A

(b)

B

(c)

A'\(\cap\)B'

(d)

ф

Let U be the universal set containing 700 elements. If A and B are sub-sets of U such that n(A) = 200, n(B) = 300 and n(A \(\cap\) B) = 100, then n(A' \(\cap\) B') =___.

1

(a)

400

(b)

500

(c)

300

(d)

800

If A = {1, 2, 3, 4, 5, 6}then the number of proper sub-sets is _____.

1

(a)

64

(b)

36

(c)

26

(d)

63

Let A = {x : x ∈ R, x ≥ 4}and B = {x : x ∈ R,x < 5}then A \(\cap\) B is _____.

1

(a)

{4}

(b)

{4,5}

(c)

{5,5}

(d)

{5,4}

If A = {x : x is a multiple of 3} and B = {x : x is a multiple of 5} then A - B is _____.

1

(a)

\(A\cap B\)

(b)

\(A-\bar B\)

(c)

\(\bar A\cap\bar B\)

(d)

\(\overline {A\cap B}\)