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.



 

1)  

 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 ___






(                    )




2)  

 Which one of the following is not true

(A) A∖B = A∩B‘          (B) A\B = A∩B

(C) A\B = (A∪B)∩B‘    (D) = A\B = (A∪B)\B





 



(                    )




3)  

 If {(x,4)}, (7,y)} represent an identity function,

then (x,y) is _______

(A)  (4,7)    (B) (7,4)    (C)  (4,4)  (D) (7,7)







(                    )




4)  

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}








(                    )




5)  

 Let A = {1,3,4,7,11}, B = {-1,1,2,5,7,9} and ƒ: A"B be given by ƒ = {(1,-1),(3,2),(4,1),(7,5),(11,9)}. Then ƒis ________








(                    )




6)  

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

(A) (A∪B)∪(B∩C)   (B) (A∩B)∪(A∩C) 

(C) A∪(BC)       (D) (A∪B)∩(B∪C)







(                    )




7)  

 If n[p(A)] = 1024, then n(A) is _____

(A) 4  (B)  4  (C) 6  (D) 3







(                    )




8)  

 If n(A) = 20, n(B) = 60 and n(A∪B) = 20, then n(A∩B) is equal to _______





 

 


(                    )




9)  

 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)







(                    )




10)  

 If {(5,11), (2,m)} represent a constant function,

then the value of 'm' is _______

(A) 5    (B) 11     (C) 2    (D) 10








(                    )




 

1)  

 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 ___





Answer: 1



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}.



2)  

 Which one of the following is not true

(A) A∖B = A∩B‘          (B) A\B = A∩B

(C) A\B = (A∪B)∩B‘    (D) = A\B = (A∪B)\B





Answer: 2

 



SOLUTION 1 :

 A∖B ≠ A∩B

Ans (B) ⇒  AB = A∩B



3)  

 If {(x,4)}, (7,y)} represent an identity function,

then (x,y) is _______

(A)  (4,7)    (B) (7,4)    (C)  (4,4)  (D) (7,7)





Answer: 4



SOLUTION 1 :

  If {(x,4)}, (7,y)} represent an identity function the x = 4, y = 7

(x,y) = (4,7)

Ans (A) ⇒(4,7)



4)  

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}





Answer: 3




SOLUTION 1 :

 A|B = {p,q,r,s} {r,s,t,u}

       = {p,q}



5)  

 Let A = {1,3,4,7,11}, B = {-1,1,2,5,7,9} and ƒ: A"B be given by ƒ = {(1,-1),(3,2),(4,1),(7,5),(11,9)}. Then ƒis ________





Answer: 2




SOLUTION 1 :

 Each element in A is associated to a unique element in B.

     ƒ is one-one function.

Ans (A) one-one



6)  

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

(A) (A∪B)∪(B∩C)   (B) (A∩B)∪(A∩C) 

(C) A∪(BC)       (D) (A∪B)∩(B∪C)





Answer: 1



SOLUTION 1 :

 Intersection distribution over union

A∪(B∩C) = (A∩B)∪(A∩C) 

Ans (B) (A∩B)∪(A∩C) 



7)  

 If n[p(A)] = 1024, then n(A) is _____

(A) 4  (B)  4  (C) 6  (D) 3





Answer: 2



SOLUTION 1 :

n[p(A)] = 1024

4n(A) = 1024

4n(A) = 45

n(A) = 5

Ans(A)5



8)  

 If n(A) = 20, n(B) = 60 and n(A∪B) = 20, then n(A∩B) is equal to _______





Answer: 2

 

 


SOLUTION 1 :

n(A∪B) = n(A) + n(B) - n(A∩B)

   20 = 20 + 60 - n(A∩B)

n(A∩B) = 80 - 20

n(A∩B) = 60

Ans (B) ⇒ 60



9)  

 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)





Answer: 2



SOLUTION 1 :

 B∖(A∪C) = (B∖A) ∩ (B∖C)

Ans (B)    ⇒  (B∖A) ∩ (B∖C)



10)  

 If {(5,11), (2,i)} represent a constant function,

then the value of 'i' is _______

(A) 5    (B) 11     (C) 2    (D) 10





Answer: 3




SOLUTION 1 :

  If {(5,11), (2,i)} represent a constant function,

then the value of  i = 11

Ans   (B) ⇒ 11