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

» Differential Calculus » Geometric Interpretation of Derivative » Tangents

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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

» Trigonometry » Trigonometric Functions

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MCQ▾

Question

Let Then

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 12

» Limits & Continuity » Algebra of Functions

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MCQ▾

Question

If then

Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

Question number: 13

» Differential Calculus » Increasing and Decreasing Functions

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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

» Limits & Continuity » Continuity

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MCQ▾

Question

is equal to , where

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 15

» Complex Numbers and Quadratic Equations » Algebra of Complex Numbers

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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

» Limits & Continuity » Real Valued Functions

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MCQ▾

Question

The value of

Choices

Choice (4)Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

Question number: 17

» Limits & Continuity » Real Valued Functions

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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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