Sets, Relations and Functions (BITSAT Mathematics): Questions 1 - 6 of 14

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Question number: 1

» Sets, Relations and Functions » Equivalence Relations

MCQ▾

Question

What is the remainder obtained by dividing kx2+x1 by x+2k ?

Choices

Choice (4) Response
a.

4k32k1

b.

k1

c.

4k3+2k1

d.

2k1

Question number: 2

» Sets, Relations and Functions » Functions Mapping and Types

MCQ▾

Question

If f:RR be a mapping defined by f(x)=x3+5 , then f1(x) is equal to –

Choices

Choice (4) Response
a.

5x

b.

(x5)13

c.

(5x)13

d.

(x+5)13

Question number: 3

» Sets, Relations and Functions » Functions Mapping and Types

MCQ▾

Question

If A=(1, 2,3, 4) , then which of the following are function from A to itself?

Choices

Choice (4) Response
a.

f1={(x,y) y=x+1}

b.

f4={(x,y) x+y=5}

c.

f3={(x,y) y<x}

d.

f2={(x,y) x+y>4}

Question number: 4

» Sets, Relations and Functions » Domain, Range

MCQ▾

Question

The image of the interval [1, 3] , under the mapping f:RR given by f(x)=4x312x is –

Choices

Choice (4) Response
a.

[8, 72]

b.

[0, 8]

c.

[8, 72]

d. All of the above

Question number: 5

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

If f(x)=(axn)1n , when a>0 and nN , then fοf(x) is equal to –

Choices

Choice (4) Response
a.

an

b.

x

c.

a

d.

xn

Question number: 6

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

If (33+5)2n+1=p+f , where p is an integer and f is a proper fraction, then f(p+f) is equal to –

Choices

Choice (4) Response
a.

32n+1

b.

22n+1

c.

5n+1

d. All of the above

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