# Sets, Relations and Functions (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 6 - 10 of 14

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## Question number: 6

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2012

MCQ▾

### Question

Let for all. Let, and generally for n > 1.

Let, which of the following is a multiple of P

### Choices

Choice (4) Response

a.

125

b.

375

c.

250

d.

147

## Question number: 7

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2014

MCQ▾

### Question

Consider the function. Then is discontinuous –

### Choices

Choice (4) Response

a.

At exactly one value of x

b.

At exactly three value of x

c.

At all real numbers

d.

At exactly two value of x

## Question number: 8

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2012

MCQ▾

### Question

The mid-point of the domain of the function for real x is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 9

» Sets, Relations and Functions » Types of Relations

Appeared in Year: 2012

MCQ▾

### Question

Let and. A subset B of A is said to be a good subset if for every. Then the number of good subsets of A is –

### Choices

Choice (4) Response

a.

b.

c.

1

d.

## Question number: 10

» Sets, Relations and Functions » Equivalence Relations

Appeared in Year: 2012

MCQ▾

### Question

Let f: R ⟶ R be the function with. Then if and only if –

### Choices

Choice (4) Response

a.

are all positive and distinct

b.

are all distinct

c.

At least two of are equal

d.

f Page