Sasi Math (Revised for 1024)

Scroll:Theory of sets >> multiple Choice Questions: >> mcq (4165)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.

The number of subset of the set {10,11,12} is

1) 6
2) 8
3) 3
4) 7

( )

If A = { 3,4,5,6} and B = { 1,2,5,6}, then AUB =

1) {1,2,3,4,5,6}
2) {1,2,5,6}
3) {3,4,5,6}
4) { 1,2,3,4,6}

( )

If A = {a, b, c}, B = {e,f,g} then A∩B =

1) A
2) B
3) ɸ
4) AUB

( )

If A = { 5,{5,6} 7,} Which of the following is correct

1) {6} € A
2) {5,6} € A
3) {5} € A
4) {7} € A

( )

Which one of the following is a finite set

1) {x : x is an even prime number}
2) {x : x € Z, x < 5 }
3) { x : x € W, x ≥ 5}
4) 10} ' title="{x : x € N, x > 10} "/> {x : x € N, x > 10}

( )

If A is a proper subset of B, then A∩B =

1) B
2) AUB
3) A
4) ɸ

( )

Which of following statements are true

(i) For any set A, A is a proper subset of A.

(ii) For any set A, ɸ is a subset of A.

(iii) For any set A, A is a subset of A.

1) (ii) and (iii)
2) (i),(ii) and (iii)
3) (i) and (ii)
4) (i) and (iii)

( )

If A is a proper subset of B, then AUB =

1) A
2) A∩B
3) ɸ
4) B

( )

The number of elements of the set { x ; x € Z, x² = 1 } is

1) 1
2) 3
3) 2
4) 0

( )

10)

If n(X) = m, n(Y) =n and n(X∩Y) = p then n(XUY) =

1) m+n+p
2) m-p
3) m-n+p
4) m+n-p

( )

The number of subset of the set {10,11,12} is

1) 7
2) 8
3) 6
4) 3

Answer: 2

SOLUTION 1 :

Hint: [ Number of subsets = 2^m = 2³ = 8 (Here there are three elements m = 3)]

Ans = 8

If A = { 3,4,5,6} and B = { 1,2,5,6}, then AUB =

1) {1,2,5,6}
2) {1,2,3,4,5,6}
3) {3,4,5,6}
4) { 1,2,3,4,6}

Answer: 2

SOLUTION 1 :

Ans = {1,2,3,4,5,6}

If A = {a, b, c}, B = {e,f,g} then A∩B =

1) ɸ
2) AUB
3) B
4) A

Answer: 1

SOLUTION 1 :

Hint: [ A∩B ={ a,b,c,} ∩ {e,f,g} = { } = É¸]

Ans = É¸

If A = { 5,{5,6} 7,} Which of the following is correct

1) {6} € A
2) {5} € A
3) {5,6} € A
4) {7} € A

Answer: 3

SOLUTION 1 :

{5,6} € A

Which one of the following is a finite set

1) {x : x € Z, x < 5 }
2) {x : x is an even prime number}
3) 10} ' title="{x : x € N, x > 10} "/> {x : x € N, x > 10}
4) { x : x € W, x ≥ 5}

Answer: 2

SOLUTION 1 :

Hint: [{ x : x is an even prime number} = {2}, which is finite]

If A is a proper subset of B, then A∩B =

1) ɸ
2) B
3) AUB
4) A

Answer: 4

SOLUTION 1 :

Hint: [ A∩B = set of all elements common to both A and B] A

Ans = A

Which of following statements are true

(i) For any set A, A is a proper subset of A.

(ii) For any set A, ɸ is a subset of A.

(iii) For any set A, A is a subset of A.

1) (i),(ii) and (iii)
2) (i) and (iii)
3) (ii) and (iii)
4) (i) and (ii)

Answer: 3

SOLUTION 1 :

(ii) and (iii)

If A is a proper subset of B, then AUB =

1) A∩B
2) ɸ
3) A
4) B

Answer: 4

SOLUTION 1 :

Hint: [ AUB = set of all elements common to both A and B]

Ans = B

The number of elements of the set { x ; x € Z, x² = 1 } is

1) 2
2) 0
3) 1
4) 3

Answer: 1

SOLUTION 1 :

ans = 2

Hint: [ { x : x € Z, x² = 1} = { -1, 1}]

10)

If n(X) = m, n(Y) =n and n(X∩Y) = p then n(XUY) =

1) m+n-p
2) m+n+p
3) m-n+p
4) m-p

Answer: 1

SOLUTION 1 :

Hint: [n(XUY) = n(X)+n(Y) – n[(X∩Y) = m+n-p)]

ans = m+n-p