Class 12th Mathematics Relations and Functions MCQ mock test quiz

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12th Math: Relations and Functions

1 / 10

1. Let P={10,20,30} and Q={5,10,15,20}. Which one of the following functions is one – one and not onto?

f={(10,5),(10,10),(10,15),(10,20)}

f={(10,5),(20,10),(30,15)}

f={(20,5),(20,10),(30,10)}

f={(10,5),(10,10),(20,15),(30,20)}

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2 / 10

2. Which of the following relations is transitive but not reflexive for the set S={3, 4, 6}?

R = {(3, 4), (4, 6), (3, 6)}

R = {(1, 2), (1, 3), (1, 4)}

R = {(3, 3), (4, 4), (6, 6)}

R = {(3, 4), (4, 3)}

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3 / 10

3. The following figure represents which type of function? mathematics-questions-answers-types-functions

one-one

onto

many-one

neither one-one nor onto

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4 / 10

4. Let ‘&’ be a binary operation defined on the set N. Which of the following definitions is commutative but not associative?

a & b=a-b

a & b=a+b

a & b=ab – 8

a & b=ab

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5 / 10

5. Which of the following is not a type of binary operation?

Transitive

Commutative

Associative

Distributive

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6 / 10

6. Let ‘*’ be a binary operation defined by a*b=3a^b+5. Find 8*3.

1547

1458

1448

1541

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7 / 10

7. The following figure depicts which type of function? mathematics-questions-answers-types-functions-q1

one-one

onto

many-one

both one-one and onto

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8 / 10

8. Which of the following relations is symmetric and transitive but not reflexive for the set I = {4, 5}?

R = {(4, 4), (5, 4), (5, 5)}

R = {(4, 4), (5, 5)}

R = {(4, 5), (5, 4)}

R = {(4, 5), (5, 4), (4, 4)}

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9 / 10

9. If f:R→R f(x)=cos?x and g(x)=7x³+6, then f?g(x) is -----

cos?(7x<sup>3</sup>+6)

cos?x

cos?(x<sup>3</sup>)

(cos(frac{x^3+6}{7}))

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10 / 10

10. Let A={1,2,3} and B={4,5,6}. Which one of the following functions is bijective?

f={(2,4),(2,5),(2,6)}

f={(1,5),(2,4),(3,4)}

f={(1,4),(1,5),(1,6)}

f={(1,4),(2,5),(3,6)}

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Class 12th Mathematics Relations and Functions MCQ mock test quiz

Chapter 01 Relations and Functions

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