Sets, Relations and Functions-Functions and Composition (KVPY Stream-SA (Class 11) Math): Questions 1 - 5 of 11

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Question number: 1

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2011

MCQ▾

Question

Suppose a, b, c are three distinct real numbers. Let

P(x)=(xb)(xc)(ab)(ac)+(xc)(xa)(bc)(ba)+(xa)(xb)(ca)(cb)

When simplified, P (x) becomes,

Choices

Choice (4) Response

a.

0

b.

x

c.

1

d.

x2+(a+b+c)(ab+bc+ca)(ab)(bc)(ca)

Question number: 2

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2011

MCQ▾

Question

The number of distinct prime divisors of the number 512 3 – 253 3 – 259 3 is,

Choices

Choice (4) Response

a.

6

b.

7

c.

4

d.

5

Question number: 3

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

Let f(x)=Px2+Qx+R , where P, Q, R are integers. Suppose f(1)=1 , 31<f(4)<37 , 53<f(5)<61 , than values of P, Q and R are respectively,

Choices

Choice (4) Response

a.

2, 2 & 4

b.

3, -3 & 1

c.

3, -4 & 2

d.

2, -2 & 3

Question number: 4

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2011

MCQ▾

Question

Let f(x)=ax2+bx+c , where a, b, c are integers. Suppose f(1)=0 , 40<f(6)<50 , 60<f(7)<70 , and 1000t<f(50)<1000(t+1) for some integer t. Then the value of t is

Choices

Choice (4) Response

a.

3

b.

4

c.

2

d.

5 or more

Question number: 5

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2009

MCQ▾

Question

How many positive real numbers x satisfy the equation,

x33 x +2=0

Choices

Choice (4) Response

a.

1

b.

4

c.

6

d.

3

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