# KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 1 - 5 of 172

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## Question number: 1

» Basic Mathematics » Algebra » Simplifying Expressions

Appeared in Year: 2010

MCQ▾

### Question

Let be a differentiable function such that and for some a < b. Then the minimum numbers of roots of in the interval (a, b) is –

### Choices

Choice (4) Response

a.

0

b.

1

c.

3

d.

2

## Question number: 2

Appeared in Year: 2010

MCQ▾

### Question

The roots of are –

### Choices

Choice (4) Response

a.

Non-real except one positive real root

b.

Non-real except for three real roots of which exactly one is positive

c.

Non-real except three positive real roots

d.

All necessarily real

## Question number: 3

Appeared in Year: 2011

MCQ▾

### Question

Which of the following interval is possible domain of the function, where is the greatest integer not exceeding x and?

### Choices

Choice (4) Response

a.

(0, 1)

b.

(1, 2)

c.

(2, 3)

d.

(3, 5)

## Question number: 4

Appeared in Year: 2011

MCQ▾

### Question

The minimum distance between a point on the curve and a point on the curve is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 5

Appeared in Year: 2010

MCQ▾

### Question

The figure shown below is the graph of the derivative of some function.

### Choices

Choice (4) Response

a.

3

b.

1

c.

2

d.

None of the above

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