Sasi Math (Revised for 1024)

Scroll:set and function >> Choose the correct answer >> mcq (4266)

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.

If the range of a function is a singleton set, then it is _____

1) a bijective function
2) a constant function
3) an identity function
4) an one-one function

( )

If A = {8,9,10}, B = {4,5,6,7,8}

and ƒ:A"B is defined by ƒ(x) = x- 2, then the range of ƒ is ___

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

( )

For any three sets A,B and C, B\(A∪C) is ______

(A) (A\B) ∩ (A\C) (B) (B∖A) ∩ (B∖C)

(C) (B\A) ∩ (A\C) (C) (A\B) ∩ (B\C)

1) C
2) A
3) B
4) D

( )

If {(x,4)}, (6,y)} represent an identity function,

then (x,y) is _______

(A) (4,6) (B) (6,4) (C) (4,4) (D) (6,6)

1) B
2) D
3) C
4) A

( )

For any three sets A,B and C, A∪(B∩C) is ______

(A) (A∪B)∪(B∩C) (B) (A∩B)∪(A∩C)

1) B
2) D
3) A
4) C

( )

If n[p(A)] = 243, then n(A) is _____

(A) 3 (B) 4 (C) 6 (D) 3

1) 4
2) 6
3) 3
4) 5

( )

For the sets A and B, A∪B =A if and only if __________

(A) B⊆A (B) A⊆B (C) A≠B (D) A∩B

1) B
2) C
3) A
4) D

( )

Which one of the following is not true

(A) A∖B = A∩B‘ (B) A\B = A∩B

1) D
2) C
3) A
4) B

( )

If ƒ(x) = x² + 7, then ƒ(-6) = ____

1) 42
2) -43
3) 43
4) 45

( )

10)

If A = {p,q,r,s}, B = {r,s,t,u} then A\B is ______

(A) {p,q} (B) {t,u} (C) {r,s} (D) {p,q,r,s}

1) D
2) C
3) A
4) B

( )

If the range of a function is a singleton set, then it is _____

1) an identity function
2) a constant function
3) a bijective function
4) an one-one function

Answer: 2

SOLUTION 1 :

Range of a function is a singleton set ⇒ all elements of a domain is associated to unique element in the codomain.

It is a constant function.

Ans ⇒ a constant function.

If A = {8,9,10}, B = {4,5,6,7,8}

and ƒ:A"B is defined by ƒ(x) = x- 2, then the range of ƒ is ___

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

Answer: 4

SOLUTION 1 :

ƒ(x) = x - 2

ƒ (8) = 8 - 2 = 6

ƒ (9) = 9 - 2 = 7

ƒ (10) = 10 - 2 = 8

Range of ƒ = {6,7,8}

Ans (D) {6,7,8}.

For any three sets A,B and C, B\(A∪C) is ______

(A) (A\B) ∩ (A\C) (B) (B∖A) ∩ (B∖C)

(C) (B\A) ∩ (A\C) (C) (A\B) ∩ (B\C)

1) C
2) B
3) A
4) D

Answer: 2

SOLUTION 1 :

Bâˆ–(A∪C) = (Bâˆ–A) ∩ (Bâˆ–C)

Ans (B) ⇒ (Bâˆ–A) ∩ (Bâˆ–C)

If {(x,4)}, (6,y)} represent an identity function,

then (x,y) is _______

(A) (4,6) (B) (6,4) (C) (4,4) (D) (6,6)

1) A
2) C
3) D
4) B

Answer: 1

SOLUTION 1 :

If {(x,4)}, (6,y)} represent an identity function the x = 4, y = 6

(x,y) = (4,6)

Ans (A) ⇒(4,6)

For any three sets A,B and C, A∪(B∩C) is ______

(A) (A∪B)∪(B∩C) (B) (A∩B)∪(A∩C)

1) A
2) D
3) B
4) C

Answer: 3

SOLUTION 1 :

Intersection distribution over union

A∪(B∩C) = (A∩B)∪(A∩C)

Ans (B) (A∩B)∪(A∩C)

If n[p(A)] = 243, then n(A) is _____

(A) 3 (B) 4 (C) 6 (D) 3

1) 3
2) 6
3) 5
4) 4

Answer: 3

SOLUTION 1 :

n[p(A)] = 243

3^n(A) = 243

3^n(A)= 3⁵

n(A) = 5

Ans(A)5

For the sets A and B, A∪B =A if and only if __________

(A) B⊆A (B) A⊆B (C) A≠B (D) A∩B

1) D
2) C
3) A
4) B

Answer: 3

SOLUTION 1 :

By the definition, A∪B =A ⇔ B⊆A

Which one of the following is not true

(A) A∖B = A∩B‘ (B) A\B = A∩B

1) A
2) B
3) D
4) C

Answer: 2

SOLUTION 1 :

Aâˆ–B ≠ A∩B

Ans (B) ⇒ AB = A∩B

If ƒ(x) = x² + 7, then ƒ(-6) = ____

1) 42
2) 45
3) -43
4) 43

Answer: 4

SOLUTION 1 :

ƒ (x) = x² + 7

ƒ (-6) = (-6)² + 7

= 36 + 7 = 43

Ans ⇒ 43

10)

If A = {p,q,r,s}, B = {r,s,t,u} then A\B is ______

(A) {p,q} (B) {t,u} (C) {r,s} (D) {p,q,r,s}

1) B
2) A
3) D
4) C

Answer: 2

SOLUTION 1 :

A|B = {p,q,r,s} {r,s,t,u}

= {p,q}