# KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 44 - 48 of 172

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## Question number: 44

» Basic Mathematics » Algebra » Solutions to Equations

Appeared in Year: 2012

MCQ▾

### Question

In the real number system, the equation has –

### Choices

Choice (4) Response

a.

No solution

b.

Exactly two distinct solutions

c.

Infinitely many solutions

d.

Exactly four distinct solutions

## Question number: 45

Appeared in Year: 2012

MCQ▾

### Question

Let denote the sum of the first n positive integers. The numbers S1, S2, S3, …, S99 are written on 99 cards. The probability of drawing a card with an even number written on it is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 46

Appeared in Year: 2012

MCQ▾

### Question

The value of the integral, where is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 47

Appeared in Year: 2012

MCQ▾

### Question

Let n be a natural number and let ‘a’ be a real number. The number of zeros of in the interval [-1, 1] is

### Choices

Choice (4) Response

a.

2 if a < 0

b.

At least three for every value of a

c.

2 if a > 0

d.

At most one for every value of a

## Question number: 48

Appeared in Year: 2012

MCQ▾

### Question

Let a, b, c, d be numbers in the set {1, 2, 3, 4, 5, 6} such that the curves and have no point in common. The maximum possible value of is

### Choices

Choice (4) Response

a.

36

b.

5

c.

30

d.

0

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