# NEST (National Entrance Screening Test) Mathematics: Questions 27 - 35 of 50

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## Question number: 27

Edit
MCQ▾

is equal to:

### Choices

Choice (4)Response

a.

5

b.

2

c.

0

d.

4

## Question number: 28

Edit
MCQ▾

If

### Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

## Question number: 29

Edit
MCQ▾

### Question

If the positive integer n is equal to

### Choices

Choice (4)Response

a.

2

b.

4

c.

5

d.

6

## Question number: 30

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MCQ▾

### Question

If the function be continuous at

### Choices

Choice (4)Response

a.

6

b.

3

c.

12

d.

All of the above

## Question number: 31

Edit

Appeared in Year: 2017

MCQ▾

### Question

Let the function be defined as

Where for any real number denotes the greatest integer not exceeding t, then f is continuous at

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 32

Edit

Appeared in Year: 2016

MCQ▾

### Question

Suppose satisfies for all . Then is

### Choices

Choice (4)Response

a.

1

b.

c.

d.

## Question number: 33

Edit

Appeared in Year: 2017

MCQ▾

### Question

If are positive real numbers in geometric progression, then the graph of is curve that

### Choices

Choice (4)Response

a.

Intersects the x-axis at two points

b.

Is entirely above the x-axis

c.

Is entirely tangent the x-axis

d.

Is entirely below the x-axis

## Question number: 34

Edit
MCQ▾

If , then is

### Choices

Choice (4)Response

a.

1

b.

3

c.

0

d.

## Question number: 35

Edit

Appeared in Year: 2016

MCQ▾

### Question

The number of terms that are integers in the binomial expansion of is

### Choices

Choice (4)Response

a.

5

b.

6

c.

4

d.

7

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