# KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 105 - 108 of 172

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## Question number: 105

Appeared in Year: 2014

MCQ▾

### Question

Let be a circle of radius 1. For , let be a circle whose area equals the area of a square inscribed in . Then

Equals to: -

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 106

Appeared in Year: 2014

MCQ▾

### Question

Let X be a set of elements. The numbers of ordered pairs of subsets of such that satisfies:

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 107

Appeared in Year: 2013

MCQ▾

### Question

Let . A list of numbers has mean and standard deviation . A new list of numbers is made as follows: . The mean and the standard deviation of the new list are . Which of the following is necessarily true? (Model Paper)

### Choices

Choice (4) Response

a.

many or may not be equal to

b.

c.

d.

## Question number: 108

Appeared in Year: 2013

MCQ▾

### Question

For an integer let . Which of the following is true for all ? (Model Paper)

### Choices

Choice (4) Response

a.

has at least four multiples of 5

b.

has a prime

c.

has at most six primes

d.

has a multiple of 19

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