NEST (National Entrance Screening Test) Mathematics: Questions 1 - 7 of 50

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Question number: 1

» Limits & Continuity » Graphs of Simple Functions

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MCQ▾

Question

If

Choices

Choice (4) Response

a.

is differentiable at

b.

is continuous at

c.

is differentiable at

d.

Question does not provide sufficient data or is vague

Question number: 2

» Limits & Continuity » Continuity

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MCQ▾

Question

is equal to , where are resoectively.

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 3

» Complex Numbers and Quadratic Equations » Algebra of Complex Numbers

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MCQ▾

Question

If z is a complex number such that then the real part of is

Choices

Choice (4) Response

a.

0

b.

c.

d.

Question number: 4

» Differential Calculus » Increasing and Decreasing Functions

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MCQ▾

Question

The derivative of is

Choices

Choice (4) Response

a.

b.

0

c.

1

d.

All of the above

Question number: 5

» Limits & Continuity » Continuity

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MCQ▾

Question

Let and where are non–negative real numbers. The value of , if is continuous for all real is

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 6

» Limits & Continuity » Continuity

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MCQ▾

Question

Suppose and is

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 7

» Statistics and Probability » Probability

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Appeared in Year: 2016

MCQ▾

Question

In on office, of the employees have scooters and have cars. Among those who have scooters, do not have cars. The probability that an employee has a car given that he does not have a scooter is

Choices

Choice (4) Response

a.

b.

c.

d.