# KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 151 - 155 of 172

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## Question number: 151

Appeared in Year: 2015

MCQ▾

### Question

Let ; where, is a real constant. The smallest for which for all is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 152

Appeared in Year: 2015

MCQ▾

### Question

Let be a real number. Then the limit

is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 153

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2015

MCQ▾

Let . Then –

### Choices

Choice (4) Response

a.

b.

c.

is a rational number, but not an integer

d.

is an irrational number

## Question number: 154

Appeared in Year: 2015

MCQ▾

### Question

Let and . Suppose that where is parallel to and is perpendicular to . Then is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 155

Appeared in Year: 2015

MCQ▾

### Question

An urn contains marbles of four colors: red, white, blue and green. When four marbles are drawn without replacement, the following events are equally likely:

(1) the selection of four red marbles

(2) the selection of one white and three red marbles

(3) the selection of one white, one blue and two red marbles

(4) the selection of one marble of each color

The smallest total number of marbles satisfying the given condition is –

### Choices

Choice (4) Response

a.

69

b.

46

c.

21

d.

19

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