Nimcet-2022

Question 1

+12-3

If the roots of the quadratic equations x

{}^{2}

+px+q=0 and tan30

{}^{o}

and tan15

{}^{o}

respectively, then the value of 2+p-q is

A

3

B

0

C

1

D

2

Question 2

+12-3

There are two circles in xy-plane whose equations are x

{}^{2}

+y

{}^{2}

-2y=0 and x

{}^{2}

+y

{}^{2}

-2y-3=0. At point (x,y) is chosen at random inside the larger circle. Then the probability that the point has been taken from smaller circle is

A

1/3

B

2/3

C

1/2

D

¼

Question 3

+12-3

The correct expression for

\cos ^{-1} \left(-x\right)

is

A

\frac{\pi }{2} -\cos ^{-1} x

B

\pi -\cos ^{-1} x

C

\pi +\cos ^{-1} x

D

\frac{\pi }{2} +\cos ^{-1} x

)

Question 4

+12-3

Coordinate of focus of the parabola 4y

{}^{2}

+12x-20y+67=0 is

A

(-5/4, 17/2)

B

(-17/2, 5/4)

C

(-17/4, 5/2)

D

(-5/2, 17/4)

Question 5

+12-3

A survey is done among a population of 200 people who like either tea or coffee. It is found that 60\% of the population like tea and 72\% of the population like coffee. Let x be the number of people who like both tea and coffee. Let

m\le x\le n

then choose the correct option

A

n-m=56

B

n-m=28

C

n-m=32

D

n+m=92

Question 6

+12-3

Solutions of the equations

\tan ^{-1} \sqrt{x^{2} +x} +\sin ^{-1} \sqrt{x^{2} +x+1} =\frac{\pi }{2}

are

A

0, 1

B

1, -1

C

0,-1

D

0, -2

Question 7

+12-3

If

\left(\frac{x}{a} \right)^{2} +\left(\frac{y}{b} \right)^{2} =1,\left(a>b\right)

and

x^{2} -y^{2} =c^{2}

cut at right angles, then

A

a

{}^{2}

+b

{}^{2}

=2c

{}^{2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }

B

b

{}^{2}

-a

{}^{2}

=2c

{}^{2}

C

a

{}^{2}

-b

{}^{2}

=2c

{}^{2}

D

a

{}^{2}

-b

{}^{2}

=c

{}^{2}

Question 8

+12-3

If the foci of the ellipse

\frac{x^{2} }{25} +\frac{y^{2} }{b^{2} } =1

and the hyperbola

\frac{x^{2} }{144} -\frac{y^{2} }{81} =\frac{1}{25}

are coincide, then the value of b

{}^{2}

is

A

25

B

16

C

64

D

49

Question 9

+12-3

If a

\mathrm{<}

b, then

\int _{a}^{b}\left(|x-a|+|x-b|\right)dx

is

A

\frac{\left(b-a\right)^{2} }{2}

B

\frac{\left(b^{2} -a^{2} \right)}{2}

C

\frac{\left(a^{3} -b^{3} \right)}{2}

D

\left(b-a\right)^{2}

Question 10

+12-3

Which term of the series

\frac{\sqrt{5} }{3} ,\frac{\sqrt{5} }{4} ,\frac{1}{\sqrt{5} } ,...

is

\frac{\sqrt{5} }{13}

?

A

12

B

11

C

10

D

9

Question 11

+12-3

If

\cos ^{-1} \frac{x}{2} +\cos ^{-1} \frac{y}{3} =\phi

, then

9x^{2} -12xy\cos \phi +4y^{2}

is

A

-36\sin ^{2} \phi

B

36\sin ^{2} \phi

C

36\cos ^{2} \phi

D

36

Question 12

+12-3

For

a\in R,a\ne -1,

{\mathop{\lim }\limits_{n\to \infty }} \frac{1^{a} +2^{a} +....+n^{a} }{\left(n+1\right)^{a-1} \left[\left(na+1\right)+\left(na+2\right)+...+\left(na+n\right)\right]} =\frac{1}{60}

then one of the values of a is

A

5

B

8

C

-15/2

D

-17/2

Question 13

+12-3

Which of the following is NOT TRUE?

A

{\mathop{\lim }\limits_{x\to \infty }} \frac{x}{e^{x} } =0

B

{\mathop{\lim }\limits_{x\to 0^{+} }} \frac{1}{xe^{1/x} } =0

C

{\mathop{\lim }\limits_{x\to 0^{+} }} \frac{\sin x}{1+2x} =0

D

{\mathop{\lim }\limits_{x\to 0^{+} }} \frac{\cos x}{1+2x} =0

Question 14

+12-3

Angles of elevation of the top of a tower from three points (collinear) A, B and C on a road leading to the foot of the tower are

30^{\circ } ,45^{\circ }

and

60^{\circ }

respectively. The ratio of AB and BC is

A

\sqrt{3} :1

B

\sqrt{3} :2

C

1:2

D

2:\sqrt{3}

Question 15

+12-3

The function

f\left(x\right)=\left\{\begin{array}{c} {\left(1+2x\right)^{1/x} ,x\ne 0} \\ {e^{2} ,{\rm \; \; \; \; \; \; \; \; \; \; \; x=0}} \end{array}\right.

, is

A

Differentiable at x=0

B

Continuous at x=0

C

discontinuous at x=0

D

not differentiable at x=0

Question 16

+12-3

If

x^{m} y^{n} =\left(x+y\right)^{m+n}

then

\frac{dy}{dx}

is

A

\frac{x+y}{xy}

B

xy

C

x/y

D

y/x

Question 17

+12-3

A four-digit number is formed using the digits 1, 2,3,4,5 without repetition. The probability that it is divisible by 3 is

A

1/3

B

1/4

C

1/5

D

1/6

Question 18

+12-3

Let a, b, c be distinct non-negative numbers. If the vectors

ai+aj+ck

,

i+k

and

ci+cj+bk

lie in a plane, then c is

A

The arithmetic mean of a and b

B

The geometric mean of a and b

C

The harmonic mean of a and b

D

equal to zero

Question 19

+12-3

A particle is at rest at the origin. It moves along the x-axis with an accelerations x-x

{}^{2}

, where x is the distance of the particle at time t. The particle next comes to rest after it has covered a distance

A

1

B

1/2

C

3/2

D

2

Question 20

+12-3

The 10

{}^{th}

and 50

{}^{th}

percentiles of the observations 32, 49, 23, 29, 118 respectively are

A

21, 32

B

23, 32

C

23, 33

D

22, 31

Question 21

+12-3

Let

\hat{a}=2i+2j+k

and

\hat{b}

be another vector such that

\hat{a}.\hat{b}=14

and

\hat{a}\times \hat{b}=3i+j-8k

the vector

\hat{b}

is

A

5i+j+2k

B

5i-j-2k

C

5i+j-2k

D

3i+j+4k

Question 22

+12-3

If

\cos ec\theta -\cot \theta =2

then the value of

\cos ec\theta

is

A

5/3

B

3/5

C

4/5

D

5/4

Question 23

+12-3

If a

{}_{1}

, a

{}_{2}

, a

{}_{n}

are any real numbers and n is any positive integer, then

A

n\sum _{i=1}^{n}a_{i} {}^{2} <\left(\sum _{i=1}^{n}a_{i} \right)^{2}

B

n\sum _{i=1}^{n}a_{i} {}^{2} \ge \left(\sum _{i=1}^{n}a_{i} \right)^{2}

C

\sum _{i=1}^{n}a_{i} {}^{2} \ge \left(\sum _{i=1}^{n}a_{i} \right)^{2}

D

NOT

Question 24

+12-3

The first three moments of a distribution about 2 are 1, 16, -40 respectively. Then mean and variance of the distribution are

A

(2, 16)

B

(2, 15)

C

(3, 15)

D

(1, 16)

Question 25

+12-3

In a triangle ABC, if the tangent of half the difference of two angles is equal to one third of the tangent of half the sum of the angles, then the ratio of the sides opposite to the angles is

A

2:1

B

1:2

C

3:1

D

1:1

Question 26

+12-3

The domain of the function

f\left(x\right)=\frac{\cos ^{-1} x}{\left[x\right]}

is

A

\left[-1,0\right)\cup \{ 1\}

B

\left[-1,1\right]

C

\left[-1,1\right)

D

NOT

Question 27

+12-3

If

D=\left|\begin{array}{ccc} {1} & {1} & {1} \\ {1} & {2+x} & {1} \\ {1} & {1} & {2+y} \end{array}\right|

for

x\ne 0,y\ne 0

then D is

A

Divisible by x and y

B

Divisible by x but not y

C

Divisible by (1+x) and (1+y)

D

Divisible by (1+x) but not (1+y)

Question 28

+12-3

Inverse of the function

f\left(x\right)=\frac{10^{x} -10^{-x} }{10^{x} +10^{-x} }

is

A

\log _{10} \left(2-x\right)

B

\frac{1}{2} \log _{10} \left(\frac{1+x}{1-x} \right)

C

\frac{1}{2} \log _{10} \left(2x-1\right)

D

\frac{1}{4} \log _{10} \left(\frac{2x}{2-x} \right)

Question 29

+12-3

The mean of 25 observations was found to be 38. It was later discovered that 23 and 38 were misread as 25 and 36, then the mean is

A

32

B

36

C

38

D

42

Question 30

+12-3

Let a be the distance between the lines -2x+y=2 and 2x-y=2, and b be the distance between the lines 4x-3y=5 and 6y-8x=1 is

A

40b=11\sqrt{5} a

B

40\sqrt{2} a=11b

C

11\sqrt{2} b=40a

D

11\sqrt{2} a=40b

Question 31

+12-3

The value of

\int \frac{\left(x^{2} -1\right)dx}{x^{3} \sqrt{2x^{4} -2x^{2} +1} }

is

A

2\sqrt{2-\frac{2}{x^{2} } +\frac{1}{x^{4} } } +c

B

2\sqrt{2+\frac{2}{x^{2} } +\frac{1}{x^{4} } } +c

C

\frac{1}{2} \sqrt{2-\frac{2}{x^{2} } +\frac{1}{x^{4} } } +c

D

NOT

Question 32

+12-3

If the angle of elevation of the top of a hill from each of the vertices A, B and C of a horizontal triangle is

\alpha

, then the height of the hill is

A

\frac{1}{2} b\tan \alpha \sec B

B

\frac{1}{2} b\tan \alpha {\rm \; }co\sec A

C

\frac{1}{2} c\tan \alpha {\rm \; sinC}

D

\frac{1}{2} a\tan \alpha {\rm \; cosecA}

Question 33

+12-3

If a

{}_{1}

, a

{}_{2}

, a

{}_{n}

are in Arithmetic Progression with common difference d, then sum (sind)(cosec a

{}_{1}

.cosec a

{}_{2}

+cosec a

{}_{2}

.cosec a

{}_{3}

+cosec a

{}_{n-1}

.cosec a

{}_{n}

) is

A

cot a

{}_{1}

-cot a

{}_{n\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }

B

sin a

{}_{1}

-sin a

{}_{n}

C

cosec a

{}_{1}

-cosec a

{}_{n}

D

a

{}_{1}

-a

{}_{n}

Question 34

+12-3

f(x)=x+|x| is continuous for

A

x\in \left(-\infty ,\infty \right)

B

x\in \left(-\infty ,\infty \right)-\{ 0\}

C

Only

x>0

D

No value of x

Question 35

+12-3

A straight line through the point (4,5) is such that its intercept between the axes is bisected at A, then its equations is

A

3x+4y=20

B

3x-4y+7=0

C

5x-4y=40

D

5x+4y=40

Question 36

+12-3

There are two sets A and B with A=m and B=n. If P(A)- P(B)=112 then choose the wrong option where A denotes the cardinality of A , and P(A) denotes the power set of A

A

m+n=11

B

2n=m=1

C

2m-n=1

D

3n-m=5

Question 37

+12-3

The eccentricity of an ellipse, with its center at the origin is 1/3. If one of the directrices is x=9, then the equation of ellipse is

A

9x

{}^{2}

+8y

{}^{2}

=72

B

8x

{}^{2}

+9y

{}^{2}

=72

C

8x

{}^{2}

+7y

{}^{2}

=56

D

7x

{}^{2}

+8y

{}^{2}

=56

Question 38

+12-3

The function

f\left(x\right)=\log \left(x+\sqrt{x^{2} +1} \right)

is

A

An even function

B

An odd function

C

A periodic function

D

Neither an even nor an odd function

Question 39

+12-3

In Harmonic Progression, p

{}^{th}

term is q and q

{}^{th}

term is p. then pq

{}^{th}

term is

A

0

B

1

C

pq

D

pq(p+q)

Question 40

+12-3

Suppose that the temperature at a point (x,y) on a metal plate is T(x,y)=4x

{}^{2}

-4xy+y

{}^{2}

. An ant, walking on the plate, traverse a circle of radius 5, centered at the origin. What is the highest temperature encountered by the ant?

A

125

B

120

C

0

D

25

Question 41

+12-3

If

\left(\hat{a}\times \hat{b}\right)\times \hat{c}=\hat{a}\times \left(\hat{b}\times \hat{c}\right)

then

A

\hat{a}

and

\hat{b}

are collinear

B

\hat{a}

and

\hat{b}

are perpendicular

C

\hat{a}

and

\hat{c}

are collinear

D

\hat{a}

and

\hat{c}

are perpendicular

Question 42

+12-3

The solutions of the equations

4\cos ^{2} x+6\sin ^{2} x=5

are

A

x=n\pi \pm \frac{\pi }{4}

B

x=n\pi \pm \frac{\pi }{3}

C

x=n\pi \pm \frac{\pi }{2}

D

x=n\pi \pm \frac{2\pi }{3}

Question 43

+12-3

If

\alpha ,\beta

are the roots of

x^{2} -x-1=0

, and

A_{n} =\alpha ^{n} +\beta ^{n}

then arithmetic mean of

A_{n-1}

and

A_{n}

is

A

2

A_{n}

-1

B

\frac{1}{2} A_{n+1}

C

2A_{n} -2

D

NOT

Question 44

+12-3

The area enclosed within the curve |x|+|y|=2 is

A

16 sq unit

B

24 sq unit

C

32 sq unit

D

8 sq unit

Question 45

+12-3

If 0

\mathrm{<}

P(A)

\mathrm{<}

1 and 0

\mathrm{<}

P(B)

\mathrm{<}

1, and

P\left(A\cap B\right)=P\left(A\right)P(B)

then

A

P\left(B|A\right)=P\left(B\right)-P\left(A\right)

B

P\left(A^{c} -B^{c} \right)=P\left(A^{c} \right)-P\left(B^{c} \right)

C

P\left(A\cup B\right)^{c} =P\left(A^{c} \right)P\left(B^{c} \right)

D

P\left(A|B\right)=P\left(A\right)-P\left(B\right)

Question 46

+12-3

The value of

3^{3-\log _{3} 5}

is

A

5/27

B

27/5

C

9/5

D

5/9

Question 47

+12-3

If

\hat{a}=\lambda \hat{i}+\hat{j}-2\hat{k}

,

\hat{b}=\hat{i}+\lambda \hat{j}-2\hat{k}

,

\hat{c}=\hat{i}+\hat{j}+\hat{k}

and

\left[\begin{array}{ccc} {\hat{a}} & {\hat{b}} & {\hat{c}} \end{array}\right]=7

then the values of

\lambda

are

A

2,-6

B

6,-2

C

4,-2

D

-4, 2

Question 48

+12-3

The value of

\cot \left(\cos ec^{-1} \frac{5}{3} +\tan ^{-1} \frac{2}{3} \right)

is

A

6/17

B

3/17

C

4/17

D

5/17

Question 49

+12-3

If the volume of a parallelopiped whose adjacent edges are

\vec{a}=2\hat{i}+3\hat{j}+4\hat{k}

,

\vec{b}=\hat{i}+\alpha \hat{j}+2\hat{k}

,

\vec{c}=\hat{i}+2\hat{j}+\alpha \hat{k}

is 15, then

\alpha

is

A

1

B

5/2

C

9/2

D

0

Question 50

+12-3

Area of the parallelogram formed by the lines y=4x, y=4x+1, x+y=0 and x+y=1 is

A

1/5

B

2/5

C

5

D

10

Question 51

+6-1.5

At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other?

A

5\frac{1}{11}

B

12\frac{4}{11}

C

13\frac{4}{11}

D

16\frac{4}{11}

Question 52

+6-1.5

A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. What is the present age of the mother?

A

1.50

B

2.60

C

3.30

D

4.40

Question 53

+6-1.5

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

A

10800

B

648

C

1800

D

2700

Question 54

+6-1.5

The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively is

A

305

B

127

C

235

D

123

Question 55

+6-1.5

A is the brother of B 2. C is the father of A 3. D is brother of E. 4. E is the daughter of B Then, the uncle of D is?

A

B

A

C

E

D

C

Question 56

+6-1.5

Read the following information carefully and answer the questions. Five Dramas A, B, C, D and E have to be staged in 6 hour where 1 hour needs to be given per drama.

\newline

1. A break of 1 hour has to be taken in third or four hour.

\newline

2. Drama show cannot be started with A and cannot end in C.

\newline

3. D has to follow B immediately with no break in between.

\newline

4. A cannot be done immediately after D

\newline

5. A has to precede E immediately with no break in between.

Question:Which drama is staged immediately after E?

A

C

B

NOT

C

E

D

A

Question 57

+6-1.5

Read the following information carefully and answer the questions. Five Dramas A, B, C, D and E have to be staged in 6 hour where 1 hour needs to be given per drama.

\newline

1. A break of 1 hour has to be taken in third or four hour.

\newline

2. Drama show cannot be started with A and cannot end in C.

\newline

3. D has to follow B immediately with no break in between.

\newline

4. A cannot be done immediately after D

\newline

5. A has to precede E immediately with no break in between.

Question:Which drama is staged immediately after D?

A

NOT

B

C

E

D

B

Question 58

+6-1.5

Read the following information carefully and answer the questions. Five Dramas A, B, C, D and E have to be staged in 6 hour where 1 hour needs to be given per drama.

\newline

1. A break of 1 hour has to be taken in third or four hour.

\newline

2. Drama show cannot be started with A and cannot end in C.

\newline

3. D has to follow B immediately with no break in between.

\newline

4. A cannot be done immediately after D

\newline

5. A has to precede E immediately with no break in between.

Question: Which is the drama staged immediately after the break?

A

D

B

NOT

C

B

D

A

Question 59

+6-1.5

Read the following information carefully and answer the questions. Five Dramas A, B, C, D and E have to be staged in 6 hour where 1 hour needs to be given per drama.

\newline

1. A break of 1 hour has to be taken in third or four hour.

\newline

2. Drama show cannot be started with A and cannot end in C.

\newline

3. D has to follow B immediately with no break in between.

\newline

4. A cannot be done immediately after D

\newline

5. A has to precede E immediately with no break in between.

Question:Which is the drama to be staged first?

A

B

D

C

NOT

D

A

Question 60

+6-1.5

Read the following information carefully and answer the questions. Five Dramas A, B, C, D and E have to be staged in 6 hour where 1 hour needs to be given per drama.

\newline

1. A break of 1 hour has to be taken in third or four hour.

\newline

2. Drama show cannot be started with A and cannot end in C.

\newline

3. D has to follow B immediately with no break in between.

\newline

4. A cannot be done immediately after D

\newline

5. A has to precede E immediately with no break in between.

Question:Which hour is a break hour?

A

3

{}^{rd}

B

4

{}^{th}

C

2

{}^{nd}

D

5

{}^{th}

Question 61

+6-1.5

Statement: There is a significant increase in the number of patients affected by some disease in a city

\newline

Course of action:

\newline

I Municipal Corporation of the city should take immediate action.

\newline

II This problem should be raised in the UNESCO.

\newline

III Hospitals in the city should be equipped properly for the treatment of the patients

A

All follow

B

I and II follow

C

Only III follow

D

I and III follow

Question 62

+6-1.5

Statement: Many shops in the local market have extended their shops and occupied most part of the footpath in front of their shops.

\newline

Course of Action

\newline

I The civic authority should immediately activate a task force to clear all the footpaths encroached by the shop owners.

\newline

II The civic authority should charge hefty penalty to the shop owners for occupying the footpath

\newline

III The civic authority should setup a monitoring system so that encroachments do not recur in future.

A

None follows

B

All I, II and III follows

C

I and II follow

D

II and III follow

Question 63

+6-1.5

The following questions are based on the pie charts given below: percentages-wise distribution of students studying in Arts and Commerce in seven different institutions. Different institutions-A, B, C, D, E, F and G

Question:The ratio of the number of students studying Arts to that studying Commerce in Institute E is

A

19:27

B

19:16

C

19:28

D

27:14

Question 64

+6-1.5

The following questions are based on the pie charts given below: percentages-wise distribution of students studying in Arts and Commerce in seven different institutions. Different institutions-A, B, C, D, E, F and G

Question:How many students from Institute B study Arts and Commerce?

A

1018

B

1208

C

1108

D

1180

Question 65

+6-1.5

The following questions are based on the pie charts given below: percentages-wise distribution of students studying in Arts and Commerce in seven different institutions. Different institutions-A, B, C, D, E, F and G

Question:What is the total number of students studying Arts in Institutes A and G together?

A

1206

B

1026

C

1226

D

1126

Question 66

+6-1.5

Find out the wrong number in the FOLLOWING series.

\newline

2, 5, 10, 17, 26, 38, 50, 65

A

26

B

65

C

50

D

38

Question 67

+6-1.5

Find out the wrong number in the FOLLOWING series.

\newline

30, -5, -45, -90, -145, -195, -255

A

-255

B

-145

C

-5

D

-195

Question 68

+6-1.5

Six books are labelled A, B, C, D, E and F and are placed side by side. Books B, C, E and F have green covers while others have yellow covers. Books A, B and D are new while the rest are old volumes. Books A, B and C are law reports while the rest are medical extracts. Which two books are old medical extracts and have green covers?

A

C and E

B

C and F

C

B and C

D

E and F

Question 69

+6-1.5

In each question below are given two statements followed by two conclusions numbered I and II. You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusion and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Question:Statements: all young scientist are open minded.

\newline

No open minded men are superstitious.

\newline

Conclusions: I. no scientist is superstitious.

\newline

II. no young people are superstitious.

A

Only conclusion I follows

B

Neither I nor II follows

C

Neither I nor II follows

D

Only conclusion II follows

Question 70

+6-1.5

In each question below are given two statements followed by two conclusions numbered I and II. You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusion and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Question: Statements: all mangos are golden in colour.

\newline

No golden colored things are cheap.

\newline

Conclusions: I all mangos are cheap

\newline

II Golden colored mangos are not cheap

A

Only conclusion II follows

B

Either I or II follows

C

Neither I nor II follows

D

Only conclusion I follows

Question 71

+6-1.5

In each question below are given two statements followed by two conclusions numbered I and II. You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusion and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Question: Statements: No women teacher can play.

\newline

Some women teachers are athletes.

\newline

Conclusions: I. male athletes can play

\newline

II. Some athletes can play

A

Only conclusion II follows

B

Only conclusion I follows

C

Neither I nor II follows

D

Either I or II follows

Question 72

+6-1.5

Identify the fifth number in the series: 122, 144, 166, 188, ?

A

310

B

345

C

234

D

210

Question 73

+6-1.5

Select the pair of words, which are related in the same way as the capitalized words are related to each other. BUTTERFLY : FREEDOM

A

Frog : Water

B

Self-reliant : Buoyant

C

Horse : Speed

D

Chicken : Rooster

Question 74

+6-1.5

Today is Wednesday. What would be the day after 61 days?

A

Monday

B

Saturday

C

Sunday

D

Tuesday

Question 75

+6-1.5

Select the pair of words, which are related in the same way as the capitalized words are related to each other. Frugal : Extravagant

A

Criticise : Advocate

B

Hermit : Philosopher

C

Teacher : Philanthropist

D

Predecessor : Precursor

Question 76

+6-1.5

Which of the following is the odd one from the given alternatives?

A

Swimming

B

Driving

C

Diving

D

Sailing

Question 77

+6-1.5

If in a certain language, KOLKOTA is coded as LPMLPUB, how is MUMBAI coded in that code?

A

NVNCBJ

B

OVNBBH

C

NVNBCJ

D

NUNBCH

Question 78

+6-1.5

Identify the sixth number in the series:

\newline

6, 11, 21, 36, 56, ?

A

81

B

82

C

21

D

52

Question 79

+6-1.5

Find the synonym that is most nearly similar in meaning to the word : DEBACLE

A

Corker

B

Opulence

C

Dandy

D

Catastrophe

Question 80

+6-1.5

Fill in the blank: HEC, JGE, LIG, NKI,

\_\_\_\_\_\_

A

PMK

B

HGF

C

ONM

D

KMP

Question 81

+6-1.5

Deepak, Rahul, Manoj, and Vinod are brothers. Who is the heaviest?

\newline

Rahul is heavier than Deepak and Vinod, but lighter than Manoj.

\newline

Deepak is lighter than Rahul and Manoj, but heavier than Vinod.

A

Data in both the statements together are not sufficient

B

Statement II alone is sufficient, but statement I alone is not sufficient

C

Either I or II is sufficient

D

Statement I alone is sufficient, but statement II alone is not sufficient

Question 82

+6-1.5

DNN, FQQ, HTT,

\_\_\_\_\_

, LZZ

A

JWW

B

IWW

C

JVV

D

JXX

Question 83

+6-1.5

Looking at the portrait of a man, Manu said, "Her mother is the wife of my father's son and I have no brother and sister." Whose portrait was Manu looking at?

A

His father

B

His son

C

His nephew

D

His daughter

Question 84

+6-1.5

Which of the following diagrams correctly represents lions, elephants, and animals?

A

C

B

D

C

A

D

B

Question 85

+6-1.5

Replace the question mark with an appropriate image to complete the analogous pair

A

C

B

C

D

A

Question 86

+6-1.5

U, V, W, X and T are sitting on a bench. T is sitting next to U, V is sitting next to W, W is not sitting with X who is on the left end of the bench. V is in the second position from the right. T is to the right of U and X. T and V are sitting together. In which position T is sitting?

A

Between V and X

B

Between U and V

C

Between U and W

D

Between X and W

Question 87

+6-1.5

In the following figure find the total no of squares

A

36

B

24

C

20

D

18

Question 88

+6-1.5

Select the related word from the given alternatives.

\newline

MELT : LIQUID : : FREEZE : ?

A

condense

B

PUSH

C

ICE

D

SOLID

Question 89

+6-1.5

Fill in the blank: JAK, KBL, LCM, MDN,

A

MEN

B

NEO

C

OEP

D

PEQ

Question 90

+6-1.5

Choose the word opposite in meaning to the given word: MITIGATE

A

Abate

B

Tranquilize

C

Intensify

D

Alleviate

Question 91

+4-1

Select the one which best expresses the same sentence in indirect/direct speech:

\newline

He said, ``I am glad to be here this evening.''

A

He said that he was glad to be there that evening

B

He asked he is glad to be here this evening

C

He says he was glad to be here this evening.

D

He said he was glad to be here this evening.

Question 92

+4-1

Identify the word that is similar in meaning to the underlined word.

\newline

Raghu made adulatory remarks about the waiter who served the food.

A

Slanderous

B

Derogatory

C

Ironic

D

Complimentary

Question 93

+4-1

Which of the phrase given below should replace the phrase printed in bold to make the sentence grammatically correct.

\newline

He is addicted to smoke.

A

addicted with smoking

B

addict of smoking

C

addicted to smoking

D

used to smoke

Question 94

+4-1

Fill in the blank

\newline

Neither Peter nor I

\_\_\_\_\_\_\_\_

responsible for this blunder

A

Are

B

Am

C

Were

D

Is

Question 95

+4-1

Read the following sentence to find if there is any error in any part: (a) If I were him/ (b) I would teach/ (c) him a lesson/ (d) No error

A

I would teach

B

No error

C

If I were him

D

him a lesson

Question 96

+4-1

Select the word which means the same as the following:

\newline

To read something carefully

A

Persiflage

B

Peruse

C

Presume

D

Perverse

Question 97

+4-1

Choose the antonym: BOLD

A

Coy

B

Nervous

C

Fearful

D

Timid

Question 98

+4-1

Fill in the blanks with the correct preposition

\newline

Jagdish is waiting for me

\_\_\_\_\_

the campus

A

At

B

Out

C

On

D

In

Question 99

+4-1

Choose the synonym. LIBERAL

A

Sober

B

Generous

C

Affectionate

D

Reactionary

Question 100

+4-1

Choose the correct alternative with the correct choice given below each statement:

\newline

You are to conform

\_\_\_\_\_\_

the rules of the institute.

A

To

B

Of

C

With

D

On

Question 101

+4-1

You might think you've experienced VR, and you might have been pretty impressed. Particularly if you're a gamer, there are some great experiences to be had out there \_or rather, in there\_ today. But over the next few years, in VR, as in all fields of technology, we're going to see things that make what is cutting-edge today look like Space Invaders. And although the games will be amazing, the effects of this transformation will be far broader, touching on our work, education, and social lives. Today's most popular VR applications involve taking total control of a user's senses \_sight and hearing, particularly\_ to create a totally immersive experience that places the user in a fully virtual environment that feels pretty realistic. Climb up something high and look down, and you're likely to get a sense of vertigo. If you see an object moving quickly towards your head, you'll feel an urge to duck out of the way. Very soon, VR creators will extend this sensory hijacking to our other faculties -- for example, touch and smell -- to deepen that sense of immersion. At the same time, the devices we use to visit these virtual worlds will become cheaper and lighter, removing the friction that can currently be a barrier. I believe extended reality \_XR\_ - a term that covers virtual reality \_VR\_, augmented reality \_AR\_, and mixed reality \_MR\_ - will be one of the most transformative tech trends of the next five years. It will be enabled and augmented by other tech trends, including super-fast networking, that will let us experience VR as a cloud service just like we currently consume music and movies. And artificial intelligence \_AI\_ will provide us with more personalized virtual worlds to explore, even giving us realistic virtual characters to share our experiences with.

Question:Select an antonym for the word `augment' from the options given below:

A

Aggrandize

B

Reinforce

C

Inflate

D

Curtail

Question 102

+4-1

You might think you've experienced VR, and you might have been pretty impressed. Particularly if you're a gamer, there are some great experiences to be had out there \_or rather, in there\_ today. But over the next few years, in VR, as in all fields of technology, we're going to see things that make what is cutting-edge today look like Space Invaders. And although the games will be amazing, the effects of this transformation will be far broader, touching on our work, education, and social lives. Today's most popular VR applications involve taking total control of a user's senses \_sight and hearing, particularly\_ to create a totally immersive experience that places the user in a fully virtual environment that feels pretty realistic. Climb up something high and look down, and you're likely to get a sense of vertigo. If you see an object moving quickly towards your head, you'll feel an urge to duck out of the way. Very soon, VR creators will extend this sensory hijacking to our other faculties - for example, touch and smell - to deepen that sense of immersion. At the same time, the devices we use to visit these virtual worlds will become cheaper and lighter, removing the friction that can currently be a barrier. I believe extended reality \_XR\_ - a term that covers virtual reality \_VR\_, augmented reality \_AR\_, and mixed reality \_MR\_ - will be one of the most transformative tech trends of the next five years. It will be enabled and augmented by other tech trends, including super-fast networking, that will let us experience VR as a cloud service just like we currently consume music and movies. And artificial intelligence \_AI\_ will provide us with more personalized virtual worlds to explore, even giving us realistic virtual characters to share our experiences with.

Question:`Duck out of something' means

A

To fall down

B

To hit something hard

C

To avoid doing something

D

To meet with an accident

Question 103

+4-1

Read the following passage carefully and answer the questions:

\newline

You might think you've experienced VR, and you might have been pretty impressed. Particularly if you're a gamer, there are some great experiences to be had out there \_or rather, in there\_ today. But over the next few years, in VR, as in all fields of technology, we're going to see things that make what is cutting-edge today look like Space Invaders. And although the games will be amazing, the effects of this transformation will be far broader, touching on our work, education, and social lives. Today's most popular VR applications involve taking total control of a user's senses \_sight and hearing, particularly\_ to create a totally immersive experience that places the user in a fully virtual environment that feels pretty realistic. Climb up something high and look down, and you're likely to get a sense of vertigo. If you see an object moving quickly towards your head, you'll feel an urge to duck out of the way. Very soon, VR creators will extend this sensory hijacking to our other faculties -- for example, touch and smell -- to deepen that sense of immersion. At the same time, the devices we use to visit these virtual worlds will become cheaper and lighter, removing the friction that can currently be a barrier. I believe extended reality \_XR\_ - a term that covers virtual reality \_VR\_, augmented reality \_AR\_, and mixed reality \_MR\_ - will be one of the most transformative tech trends of the next five years. It will be enabled and augmented by other tech trends, including super-fast networking, that will let us experience VR as a cloud service just like we currently consume music and movies. And artificial intelligence \_AI\_ will provide us with more personalized virtual worlds to explore, even giving us realistic virtual characters to share our experiences with.

Question:The passage states all the following about VR applications except

A

Future AI will allow us to share our experiences with realistic virtual characters

B

Vertigo is a major feature of all AI applications

C

VR applications takes control of the user's senses

D

VR applications creates a virtual environment that feels pretty realistic

Question 104

+4-1

Fill in the banks with the correct option

\newline

Technical writing demands

\_\_\_\_\_\_

use of language.

A

Poetic

B

Figurative

C

Factual

D

Dramatic

Question 105

+4-1

What can you call a person who leads an unconventional style of living?

A

Altruist

B

Bohemian

C

Agnostic

D

Cynic

Question 106

+4-1

Choose the correct alternative

\newline

The country cleared this path and paved it with packed gravel, so they would have a peaceful place to hike and bike.

\newline

Which of the following alternatives to the underlined portion would NOT be acceptable?

\newline

(a)path, paving

\newline

(b) path and then paved

\newline

(c) path before paving

\newline

(d) path paved

A

b

B

d

C

a

D

c

Question 107

+4-1

Select correct articles

\newline

He is

{\dots}

.M.A. with PhD and teaches in

{\dots}

university.

A

the, the

B

a, an

C

an, the

D

a, the

Question 108

+4-1

``Bite the bullet'' means

A

to analyse your faults

B

to stop a conflict

C

to become mad

D

to accept something that is difficult or unpleasant

Question 109

+4-1

Select the correct form of verb/ Subject verb agreement

\newline

The principal, along with his assistants,

\_\_\_\_\_\_\_\_\_\_\_

the meeting.

A

is attending

B

attending

C

attend

D

are attending

Question 110

+4-1

Fill in the blank with the most appropriate option

\newline

Kedar

\_\_\_\_\_\_\_\_\_\_

this project for a month and now he is about to join a new project.

A

Guided

B

has been guiding

C

guides

D

guiding

Question 111

+8-2

The Boolean expression AB+ AB' + A'C + AC is unaffected by the value of the Boolean variable

A

C

B

C

NOT

D

A

Question 112

+8-2

`Floating point representation' is used to represent

A

Integers

B

Whole Numbers

C

Real Numbers

D

Boolean Values

Question 113

+8-2

FFFF will be the last memory location in a memory of size

A

64k

B

16k

C

32k

D

1k

Question 114

+8-2

Write the simplified form of the Boolean expression (A+C)(AD+AD')+AC+C

A

A+C

B

A+C'

C

A'+C

D

A+D

Question 115

+8-2

Which of the following is equivalent to the Boolean expression

\left(X+Y\right)\left(X+\bar{Y}\right)\left(\bar{X}+Y\right)

A

XY

B

X\bar{Y}

C

\bar{X}Y

D

\bar{X}\bar{Y}

Question 116

+8-2

Suppose the largest n bit number requires `d' digits in decimal representation. Which of the following relations between `n' and `d' is approximately correct

A

d = 2

{}^{n\ }

B

n = 2

{}^{n\ }

C

d

\mathrm{<}

n log

{}_{10}

2

D

d

\mathrm{>}

n log

{}_{10}

2

Question 117

+8-2

If a signal passing through a gate is inhibited by sending a low into one of the inputs, and the output is HIGH, the gate is a(n):

A

OR

B

AND

C

NAND

D

NOR

Question 118

+8-2

The maximum and minimum value represented in signed 16 bit 2's complement representations are

A

-32768 and 32767

B

2. 0 and 32767

C

-16384 and 16383

D

0 and 65535

Question 119

+8-2

If a processor clock is rated as 2500 million cycles per second, then its clock period is:

A

2.50

\mathrm{\times}

10

{}^{-10}

{}^{\ }

sec

B

4.00

\mathrm{\times}

10

{}^{-10\ }

sec

C

1.00

\mathrm{\times}

10

{}^{-10\ }

sec

D

NOT

Question 120

+8-2

The minimum number of NAND gates required for implementing the Boolean expression,

AB+A\bar{B}C+A\bar{B}\bar{C}

is

A

1

B

0

C

2

D

3

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