# NEST (National Entrance Screening Test) Mathematics: Questions 9 - 17 of 50

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## Question number: 9

» Basic Mathematics » Algebra » Solving Equations

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Appeared in Year: 2016

MCQ▾

### Question

Let positive real numbers be such that . The maximum value of is

### Choices

Choice (4)Response

a.

128

b.

432

c.

216

d.

4

## Question number: 10

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MCQ▾

### Question

The slope of tangent to the curve at the point is

### Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

## Question number: 11

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MCQ▾

Let Then

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 12

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MCQ▾

If then

### Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

## Question number: 13

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MCQ▾

### Question

Let , where p is a constant then, is

### Choices

Choice (4)Response

a.

b.

c.

d.

Independent of

## Question number: 14

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MCQ▾

### Question

is equal to , where

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 15

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Appeared in Year: 2016

MCQ▾

### Question

The real and imaginary part of the complex number and where are

### Choices

Choice (4)Response

a.

Respectively

b.

Respectively

c.

Respectively

d.

Respectively

## Question number: 16

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MCQ▾

The value of

### Choices

Choice (4)Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question number: 17

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Appeared in Year: 2016

MCQ▾

### Question

Let a function be defined as follows.

Where are real numbers with then

### Choices

Choice (4)Response

a.

There is exactly one value of which makes a continuous function

b.

The continuity of depends on the values of both

c.

is continuity of is and only is

d.

is not differentiable at exactly one point in its domain.

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