Sets, Relations and Functions-Functions and Composition (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 1 - 6 of 12

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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

Equation

When simplified, P (x) becomes,

Choices

Choice (4) Response

a.

0

b.

x

c.

1

d.

Equation

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 Equation , where P, Q, R are integers. Suppose Equation , Equation , Equation , 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 Equation , where a, b, c are integers. Suppose Equation , Equation , Equation , and Equation 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,

Equation

Choices

Choice (4) Response

a.

1

b.

4

c.

6

d.

3

Question number: 6

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2014

MCQ▾

Question

Let R be the set of all real numbers and let f be a function from R to R such that

Equation

for all x ∈ R. Then Equation is equal to

Choices

Choice (4) Response

a.

2

b.

-4

c.

-2

d.

0

f Page
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