# NEST (National Entrance Screening Test) Mathematics: Questions 44 - 50 of 50

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## Question number: 44

Edit
MCQ▾

### Question

is greatest inter function, is equal to

### Choices

Choice (4)Response

a.

2

b.

Does not exist

c.

0

d.

1

## Question number: 45

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Appeared in Year: 2017

MCQ▾

### Question

Let be two functions such that then

### Choices

Choice (4)Response

a.

is always onto

b.

is always one-one

c.

is always onto

d.

is always one-one

## Question number: 46

Edit
MCQ▾

### Question

For a positive real number k. let be the ellipse with equation where All member of the family of ellipses have the same

### Choices

Choice (4)Response

a.

Foci

b.

Eccentricity

c.

Pair of directrices

d.

Centre

## Question number: 47

Edit
MCQ▾

### Question

If then which of the following is not correct.

### Choices

Choice (4)Response

a.

b.

is continuous at

c.

d.

is discontinuous at

## Question number: 48

Edit

Appeared in Year: 2017

MCQ▾

### Question

Let be two matrices. Then the identity is

### Choices

Choice (4)Response

a.

True is

b.

True is is the identity matrix

c.

True is is the zero matrix

d.

True is

## Question number: 49

Edit

Appeared in Year: 2016

MCQ▾

### Question

Let be two non –collinear vectors and If then is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 50

Edit

Appeared in Year: 2016

MCQ▾

### Question

There are students in a class. It is found that students study Mathematics, students study physics and students study chemistry. Moreover students study mathematics and physics, 15 students study physics and chemistry, 25 students study chemistry and mathematics and 10 students study none of these subjects. Then

### Choices

Choice (4)Response

a.

Students study at least one of mathematics, physics and chemistry.

b.

Students study each of Mathematics, physics and chemistry.

c.

Students study either Mathematics or chemistry.

d.

Students study Mathematics along with either physics or chemistry.

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