Nimcet-2020

Question 1

+12-3

If A is a subset of B and B is a subset of C, then cardinality of

A\cup B\cup C

is equal to

A

Cardinality of C

B

Cardinality of B

C

Cardinality of A

D

NOT

Question 2

+12-3

If 3 sin x + 4 cos x = 5, then

6\tan \frac{x}{2} -9\tan ^{2} \frac{x}{2}

is

A

1

B

3

C

4

D

6

Question 3

+12-3

The value of

2\tan ^{-1} x\left[\cos ec\left(\tan ^{-1} x\right)-\tan \left(\cot ^{-1} x\right)\right]

is

A

tanx

B

cotx

C

tan

{}^{-1}

x

D

cosec

{}^{-1}

x

Question 4

+12-3

Test the continuity of the function at x=2

f\left(x\right)=\left\{\begin{array}{c} {5/2-x,x<2} \\ {1,x=2} \\ {x-3/2,x>2} \end{array}\right.

A

Continuous at x=2

B

Discontinuous at x=2

C

Semicontinous at x=2

D

NOT

Question 5

+12-3

The area enclosed between the curves y

{}^{2}

= x and y = |x|

A

2/3 sq. unit

B

1 sq.unit

C

1/6 sq. unit

D

1/3 sq. unit

Question 6

+12-3

Angle of elevation of the top of the tower from 3 points (collinear) A, B and C on a road leading to the foot of the tower are 30

\mathrm{{}^\circ}

, 45

\mathrm{{}^\circ}

and 60

\mathrm{{}^\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 7

+12-3

The expression

\frac{\tan A}{1-\cot A} +\frac{\cot A}{1-\tan A}

can be written as

A

sinAcosA+1

B

secAcosecA+1

C

tanA+cotA

D

secA+cosecA

Question 8

+12-3

The value of sin 10

\mathrm{{}^\circ}

sin 50

\mathrm{{}^\circ}

sin 70

\mathrm{{}^\circ}

is

A

1/4

B

1/2

C

3/4

D

1/8

Question 9

+12-3

The value of

\tan \left(45^{{}^\circ } +\frac{\theta }{2} \right)

is

A

\tan \theta -\sec \theta

B

\tan \theta +\sec \theta

C

\cot \theta -\sec \theta

D

\cot \theta +\sec \theta

Question 10

+12-3

If cos x = tan y , cot = tan z and cot z = tan x, then sinx is

A

\frac{\sqrt{5} -1}{2}

B

\frac{\sqrt{5} +1}{2}

C

\frac{\sqrt{5} +1}{4}

D

\frac{\sqrt{5} -1}{4}

Question 11

+12-3

Find the value of sin 12

\mathrm{{}^\circ}

sin 48

\mathrm{{}^\circ}

sin 54

\mathrm{{}^\circ}

A

1/8

B

1/6

C

1/2

D

¼

Question 12

+12-3

If

\frac{\tan x}{2} =\frac{\tan y}{3} =\frac{\tan z}{5}

and

x+y+z=\pi

then the value of

\tan ^{2} x+\tan ^{2} y+\tan ^{2} z

is

A

38/3

B

38

C

114

D

NOT

Question 13

+12-3

Solve the equation sin

{}^{2}

x-sin x- 2 = 0 for x on the interval 0

\mathrm{\le}

x

\mathrm{<}

2𝜋:

A

x=-\frac{\pi }{2}

B

x=\frac{\pi }{4}

and

\frac{2\pi }{7}

C

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

and

\frac{2\pi }{5}

D

NOT

Question 14

+12-3

If the volume of a parallelepiped whose adjacent edges are

\newline

a= 2i + 3j + 4k, b = i + aj + 2k, c = i + 2j +ak is 15, then 𝛼 =

A

1

B

5/2

C

9/2

D

0

Question 15

+12-3

Vertices of the vectors i

\mathrm{-}

2j + 2k, 2i + j

\mathrm{-}

k and 3

\mathrm{-}

j + 2k form a triangle. This triangle is

A

Equilateral triangle

B

Right angle triangle

C

Two sides are equal in length

D

NOT

Question 16

+12-3

If

\vec{a},\vec{b},\vec{c}

are three non-zero vectors with no two of which are collinear,

\vec{a}+2\vec{b}

is collinear with

\vec{c}

and

\vec{b}+3\vec{c}

is collinear with a, then

|\vec{a}+2\vec{b}+6\vec{c}|

will be equal to

A

0

B

9

C

1

D

NOT

Question 17

+12-3

The position vectors of points A and B are

\vec{a}

and

\vec{b}

.

\newline

Then the position vector of point p dividing AB in the ratio m: n is

A

\frac{n\vec{a}+m\vec{b}}{m+n}

B

\frac{n\vec{a}+m\vec{b}}{m-n}

C

\frac{n\vec{a}-m\vec{b}}{m+n}

D

NOT

Question 18

+12-3

Forces of magnitude 5, 3, 1 units act in the directions 6i + 2j + 3k, 3i

\mathrm{-}

2j+ 6k, 2i

\mathrm{-}

3j

\mathrm{-}

6k

\newline

respectively on a particle which is displaced from the point (2, -1, 3) to (5, -1, 1). The total work done by the force is

A

21 units

B

5 units

C

33 units

D

105 units

Question 19

+12-3

If

\vec{a},\vec{b},\vec{c},\vec{d}

are four vectors such that

\vec{a}+\vec{b}+\vec{c}

, is collinear with

\vec{d}

and

\vec{b}+\vec{c}+\vec{d}

is collinear with

\vec{a}

, then

\vec{a}+\vec{b}+\vec{c}+\vec{d}

is

A

0

B

collinear with

\vec{a}+\vec{d}

C

collinear with

\vec{a}-\vec{d}

D

collinear with

\vec{b}-\vec{c}

Question 20

+12-3

Two forces𝐹1 and 𝐹2 are used to pull a car, which met an accident. The angle between the two forces is 𝜽. Find the values of𝜽 for which the resultant force is equal to

\sqrt{F_{1} {}^{2} +F_{2} {}^{2} }

A

\theta =0

B

\theta =45^{{}^\circ }

C

\theta =90^{{}^\circ }

D

\theta =135^{{}^\circ }

Question 21

+12-3

If

\vec{a},\vec{b},\vec{c}

are three non-coplanar vectors then

\left(\vec{a}+\vec{b}+\vec{c}\right).\left[\left(\vec{a}+\vec{b}\right)\times \left(\vec{a}+\vec{c}\right)\right]

A

0

B

\left[\vec{a}{\rm \; }\vec{{\rm b}}{\rm \; }\vec{{\rm c}}\right]

-

C

2\left[\vec{a}{\rm \; }\vec{{\rm b}}{\rm \; }\vec{{\rm c}}\right]

D

-\left[\vec{a}{\rm \; }\vec{{\rm b}}{\rm \; }\vec{{\rm c}}\right]

Question 22

+12-3

Find the area bounded by the line y=3-x, the parabola y=x

{}^{2}

-9 and

x\ge -1,y\ge 0

A

7/2

B

11/2

C

9/2

D

NOT

Question 23

+12-3

The value of

\int _{-2}^{2}\left(ax^{5} +bx^{3} +c\right)dx

depends on the value of

A

b

B

c

C

a

D

a and b

Question 24

+12-3

If

I_{n} =\int _{0}^{a}\left(a^{2} -x^{2} \right)^{n} dx

where n is a positive integer, then the relation between I

{}_{n}

and I

{}_{n-1}

is

A

I_{n} =\frac{2na^{2} }{2n+1} I_{n-1}

B

I_{n} =\frac{2n^{2} a^{2} }{2n+1} I_{n-1}

C

I_{n} =\frac{2na^{2} }{2n-1} I_{n-1}

D

I_{n} =\frac{2n^{2} a^{2} }{2n-1} I_{n-1}

Question 25

+12-3

Evaluate

\int e^{x} \left(\frac{1+\sin x\cos x}{\cos ^{2} x} \right)dx

A

e^{x} \cos x+c

B

e^{x} \sec x\tan x+c

C

e^{x} \tan x+c

D

e^{x} \cos ^{2} x-1+c

Question 26

+12-3

If

\int \sec ^{2} x\cos ec^{4} xdx=-\frac{1}{3} \cot ^{3} x+k\tan x-2\cot x+c

, the value of k is

A

1

B

2

C

3

D

4

Question 27

+12-3

Find the interval(s) on which the graph

y=2x^{3} e^{x}

is increasing

A

(-3,0) and (0,

\mathrm{\infty}

)

B

(-3/2,0) and (0,

\mathrm{\infty}

)

C

(-3,

\mathrm{\infty}

) only

D

NOT

Question 28

+12-3

If

g\left(x\right)=\left\{\begin{array}{cc} {\frac{x^{2} -x}{2x} ,} & {x\ne 0} \\ {k,} & {x=0} \end{array}\right.

is a continuous function at x=0 then the value of k is

A

2

B

1/2

C

1

D

NOT

Question 29

+12-3

If

f\left(x\right)=\left\{\begin{array}{cc} {x^{2} ,} & {x\le 0} \\ {2\sin x,} & {x>0} \end{array}\right.

, then x=0 is

A

point of minima

B

point of maxima

C

Point of discontinuity

D

NOT

Question 30

+12-3

Find

{\mathop{\lim }\limits_{x\to 0}} x^{2} e^{\sin (1/x)}

A

1

B

limit does not exist

C

Infinity

D

NOT

Question 31

+12-3

If a+b+c=0 then the value of

\frac{a^{2} }{bc} +\frac{b^{2} }{ca} +\frac{c^{2} }{ab}

is

A

1

B

0

C

3

D

-1

Question 32

+12-3

An arithmetic progression has 3 as its first term.

\newline

Also, the sum of the first 8 terms is twice the sum of

\newline

the first 5 terms. Then what is the common

\newline

difference?

A

3/4

B

1/2

C

1/4

D

4/3

Question 33

+12-3

Find the number of points of intersection of the ellipse

\frac{x^{2} }{4} +\frac{\left(y-1\right)^{2} }{9} =1

and the circle

x^{2} +y^{2} =4

is

A

4

B

3

C

2

D

1

Question 34

+12-3

The tangent to an ellipse x

{}^{2}

+ 16y

{}^{2}

=16 and

\newline

making angel 60

\mathrm{{}^\circ}

with X-axis is

A

x-\sqrt{3} y+7=0

B

\sqrt{3} x-y+8=0

C

\sqrt{3} x-y+7=0

D

x+\sqrt{3} y-7=0

Question 35

+12-3

Let A = (𝑎𝑖𝑗 ) and 𝐵 = (𝑏𝑖𝑗 ) be two square matrices of order n and det(A) denotes the determinant of A.

\newline

Then, which of the following is not correct.

A

If A is a diagonal matrix, then 𝑑𝑒𝑡(𝐴) =𝑎11𝑎22 … 𝑎𝑛𝑛

B

det(AB)=det(A)det(B)

C

det(cA)=cdet(A)

D

det(A)=det(A

{}^{T}

), where A

{}^{T}

denotes transpose of matrix A

Question 36

+12-3

The number of values of k for which the linear equations

\newline

4𝑥 + 𝑘𝑦 + 𝑧 = 0

\newline

𝑘𝑥 + 4𝑦 + 𝑧 = 0

\newline

2𝑥 + 2𝑦 + 𝑧 = 0

A

2

B

1

C

0

D

3

Question 37

+12-3

Roots of equation

ax^{2} -2bx+c=0

are n and m, then the value of

\frac{b}{an^{2} +c} +\frac{b}{am^{2} +c}

is

A

c/a

B

b/a

C

a/c

D

b/c

Question 38

+12-3

If

A=\left[\begin{array}{cc} {\cos \alpha } & {\sin \alpha } \\ {-\sin \alpha } & {\cos \alpha } \end{array}\right]

then for any positive integer n,

A^{n}

is

A

\left[\begin{array}{cc} {\sin n\alpha } & {\cos n\alpha } \\ {\cos n\alpha } & {-\sin n\alpha } \end{array}\right]

B

\left[\begin{array}{cc} {\cos n\alpha } & {\sin n\alpha } \\ {\sin n\alpha } & {\cos n\alpha } \end{array}\right]

C

\left[\begin{array}{cc} {\cos n\alpha } & {\sin n\alpha } \\ {\sin n\alpha } & {-\cos n\alpha } \end{array}\right]

D

\left[\begin{array}{cc} {\cos n\alpha } & {\sin n\alpha } \\ {-\sin n\alpha } & {\cos n\alpha } \end{array}\right]

Question 39

+12-3

Standard deviation for the following distribution is

A

1.607

B

9

C

5

D

1.88

Question 40

+12-3

A, B, C are three sets of values of x:

\newline

A: 2,3,7,1,3,2,3

\newline

B: 7,5,9,12,5,3,8

\newline

C: 4,411,7,2,3,4

\newline

Select the correct statement among the following

A

Mean of A is equal to Mode of C

B

Mean of C is equal to Median of B

C

Median of B is equal to Mode of A

D

Mean, Median and Mode of A are same

Question 41

+12-3

A and B play a game where each is asked to select a number from 1 to 25. If the two numbers match, both win a prize. The probability that they will not win a prize in a single trial is

A

1/25

B

24/25

C

2/25

D

3/25

Question 42

+12-3

A problem in Mathematics is given to 3 students A, B and C. If the probability of A solving the problem is 1/2 and B not solving it is 1/4. The whole probability of the problem being solved is 63/64, then what is the probability of solving it by C?

A

1/8

B

1/64

C

7/8

D

1/2

Question 43

+12-3

Three cities A, B, C are equidistant from each other. A motorist travels from A to B at 30km/hour, from B to C at 40km/hour and from C to A at 50km/hour. Then the average speed is

A

39 km/hr

B

40km/hr

C

38.3 km/hr

D

37.6 km/hr

Question 44

+12-3

There is a young boy's birthday party in which 3

\newline

friends have attended. The mother has arranged 10 games where a prize is awarded for a winning game. The prizes are identical. If each of the 4 children receives at least one prize, then how many distributions of prizes are possible?

A

80

B

84

C

70

D

72

Question 45

+12-3

Naresh has 10 friends, and he wants to invite 6 of them to a party. How many times will 3 particular friends never attend the party?

A

8

B

7

C

720

D

35

Question 46

+12-3

How many words can be formed starting with letter D taking all letters from word DELHI so that the letters are not repeated

A

4

B

12

C

24

D

120

Question 47

+12-3

If 𝐴 = {𝑥, 𝑦, 𝑧}, then the number of subsets in

\newline

powerset of A is

A

6

B

8

C

7

D

9

Question 48

+12-3

If

A=\{ 4^{x} -3x-1:x\in {\rm N}\}

and

B=\{ 9\left(x-1\right):x\in {\rm N}\}

where

{\rm N}

is the set of natural numbers, then

A

A\subset B

B

A\subseteq B

C

A\supset B

D

A\supseteq B

Question 49

+12-3

In a class of 50 students, it was found that 30

\newline

students read ``Hitavad'', 35 students read

\newline

``Hindustan

\mathrm{\|}

'' and 10 read neither. How many

\newline

students read both ``Hitavad'' and ``Hindustan''

\newline

newspapers?

A

25

B

20

C

15

D

30

Question 50

+12-3

\textbf{ }

If

\left(\begin{array}{c} {15} \\ {8} \end{array}\right)+\left(\begin{array}{c} {15} \\ {7} \end{array}\right)=\left(\begin{array}{c} {n} \\ {r} \end{array}\right)

, then the values of

\textit{n }

and

\textit{r }

are

A

16 and 7

B

16 and 8

C

16 and 9

D

30 and 15

Question 51

+6-1.5

Read the following information carefully and answer the questions given below:

\newline

\textbf{i. }

Five friends Amar, Kapil, Sarvesh, Rohan and Nagesh put on five shirts of different colours, i.e., Red, Yellow, Blue, White, and Green, while they were going to attend a party. These colours are not in the order.

\newline

\textbf{ii. }

They have different hobbies as reading, playing, outing, singing and writing.

\newline

\textbf{iii. }

Kapil, who likes singing, does not wear Yellow shirt. Sarvesh wears Red shirt and he does not like reading or writing. Nagesh likes playing and he does not wear Blue or Yellow shirt. Amar likes writing and Rohan does not wear Yellow or Green shirt.

Question: Who likes writing?

A

Rohan

B

Amar

C

Kapil

D

Insufficient data to answer

Question 52

+6-1.5

Read the following information carefully and answer the questions given below:

\newline

\textbf{i. }

Five friends Amar, Kapil, Sarvesh, Rohan and Nagesh put on five shirts of different colours, i.e., Red, Yellow, Blue, White, and Green, while they were going to attend a party. These colours are not in the order.

\newline

\textbf{ii. }

They have different hobbies as reading, playing, outing, singing and writing.

\newline

\textbf{iii. }

Kapil, who likes singing, does not wear Yellow shirt. Sarvesh wears Red shirt and he does not like reading or writing. Nagesh likes playing and he does not wear Blue or Yellow shirt. Amar likes writing and Rohan does not wear Yellow or Green shirt.

Question: What is the colour of Kapil's shirt?

A

White

B

Green

C

Blue

D

Insufficient data to answer

Question 53

+6-1.5

If the numerator of a fraction is increased by 25% and denominator decreased by 20%, the new value is 5/4. What is the original value?

A

3/5

B

4/5

C

7/8

D

3/7

Question 54

+6-1.5

If a man walks at the rate of 4 km/hr, he misses a train by only 6 minutes. However, if he walks at the rate of 5 km/hr, he reaches the station 6 minutes before the arrival of the train. The distance covered by him to reach the station is:

A

4 km

B

7 km

C

9 km

D

5 km

Question 55

+6-1.5

How many minimum numbers of colours will be required to paint all the sides of a cube without the adjacent sides having the same colours?

A

3

B

4

C

5

D

6

Question 56

+6-1.5

Find the missing number

A

21

B

16

C

10

D

8

Question 57

+6-1.5

Which number should come in place of the question mark (?) in the following chart:

A

16

B

26

C

20

D

12

Question 58

+6-1.5

In an examination, 78% of the total students who appeared were successful. If the total number of failures was 176 and 34% got first class, then how many students got first class?

A

272

B

112

C

210

D

254

Question 59

+6-1.5

Find out the missing number

A

2

B

6

C

4

D

16

Question 60

+6-1.5

Find out the wrong number in the following number series: 56, 58, 62, 70, 84, 118, 182

A

58

B

62

C

84

D

118

Question 61

+6-1.5

Read the information given below and answer the questions that follow:

\newline

i. A * B means -

\mathrm{>}

A and B are of the same age

\newline

ii. A - B means -

\mathrm{>}

B is younger than

\newline

iii. A + B means -

\mathrm{>}

A is younger than B

Question:X + Y + Z is same as

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

?

A

Y

-

X

-

Z

B

Z

-

Y

-

X

C

Z

-

X

-

Y

D

X

-

Y

-

Z

Question 62

+6-1.5

Read the information given below and answer the questions that follow:

\newline

i. A * B means -

\mathrm{>}

A and B are of the same age

\newline

ii. A - B means -

\mathrm{>}

B is younger than

\newline

iii. A + B means -

\mathrm{>}

A is younger than B

Question:Sachin * Madan

-

Reena means?

A

Reena is youngest

B

Reena is oldest

C

Madan is younger than Reena

D

Madan is the youngest

Question 63

+6-1.5

Shiva gave 40% of his monthly salary to his mother from the remaining he used 7% for electronic gadgets and 23% he kept aside for his monthly expenses. The remaining amount he transferred to his friend's account. The sum of the amount he gave to his mother and he transferred to his friend account was 41000. What was Shiva's monthly salary?

A

50500

B

49000

C

50000

D

45000

Question 64

+6-1.5

Sum of ages of Anu and Bhanu is 10 years more than sum of ages of Bhanu, Chanu and Dhanu. Average age of Chanu and Dhanu is 19 years. Find the average age of Anu and Dhanu if Dhanu is 10 years elder than Chanu.

A

3400

B

3000

C

2850

D

3200

Question 65

+6-1.5

Sum of ages of Anu and Bhanu is 10 years more than sum of ages of Bhanu, Chanu and Dhanu. Average age of Chanu and Dhanu is 19 years. Find the average age of Anu and Dhanu if Dhanu is 10 years elder than Chanu.

A

36 years

B

30 years

C

25 years

D

31 years

Question 66

+6-1.5

If in a certain language, ITNIETAM is the code for INTIMATE, which word has the code TREVNIETARBI?

A

INVRETIBRATE

B

INVERTIBARTE

C

INVERTIBRATE

D

INVERTIBRETA

Question 67

+6-1.5

If there are no dancers that aren't slim and no singers that aren't dancers, then which statements are always true? Choose the correct answer.

A

There is not one slim person that isn't a dancer.

B

All singers are slim.

C

Anybody slim is also a singer.

D

NOT

Question 68

+6-1.5

Study the following arrangement carefully and answer the question given below:

\newline

W 1 R % 4 J E # 7 M T 2 I 9 B H 3 A $ 9 F Q 5 D G 6U S P Three of the following are alike in a certain way on the basis of above arrangement and hence form a group. Which one does not belong to that group?

A

R W 4

B

9 Q A

C

3 B $

D

5 F G

Question 69

+6-1.5

In the following questions, the symbols , #, @, % and * illustrate the following meanings. P$Q $- P is not smaller than Q

\newline

P#Q

-

P is neither greater than nor equal to Q.

\newline

P@Q

-

P is neither smaller than nor equal to Q..

\newline

P%Q

-

P is not greater than Q.

\newline

P*Q

-

P is neither greater than nor smaller than Q.

\newline

\textbf{Statements:}

\newline

K # L, L % M, M * N, N # O

\newline

\textbf{Conclusions:}

\newline

I. K # M

\newline

II. K * M

\newline

III . L \% O

A

I only

B

Either I or II only

C

III only

D

All I, II and III

Question 70

+6-1.5

Which of the four options should fill the missing cell?

A

1

B

2

C

3

D

4

Question 71

+6-1.5

Rishabh stops after going 10 Km towards west from his office. Then he goes 8 Km turning to his left. After this he goes 4 Km turning to his left. How far is he from the fixed point?

A

18 Km

B

8 Km

C

10 Km

D

NOT

Question 72

+6-1.5

A total of 324 notes comprising of Rs. 20 and Rs. 50 denominations make a sum of Rs. 12450. The number of Rs. 20 notes is

A

200

B

144

C

125

D

110

Question 73

+6-1.5

It was 9.35 AM in Garvita's watch, which kept correct time, when Manya informed her that the last bus left the bus stop at 9.25 am. Manya's watch is 5 min fast. The frequency of the bus is every 20 min. For how long Garvita must wait to catch the next bus?

A

5 min

B

10 min

C

15 min

D

20 min

Question 74

+6-1.5

Pointing to a gentleman, Mohan said, 'His only brother is the father of my daughter's father'. The gentleman is Mohan's

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

.

A

Brother

B

Father

C

Uncle

D

NOT

Question 75

+6-1.5

Fill in the blank in the series: ELFA, GLHA, ILJA,

\_\_\_\_\_

, MLNA:

A

OLPA

B

KLMA

C

LLMA

D

KLLA

Question 76

+6-1.5

Nine individuals - Z, Y, X, W, V, U, T, S and R - are the only candidates, who can serve on three committees

-K1

, K2 and K3, and each candidate should serve on exactly one of the committees. Committee K1 should consist of exactly one member more than committee K2. It is possible that there are no members in committee K3. Among Z, Y and X none can serve on committee K1. Among W, V and U none can serve on committee K2. Among T, S and R none can serve on committee K3.

Question:Of the nine individuals, the largest number that can serve together on committee K3 is:

A

8

B

7

C

6

D

5

Question 77

+6-1.5

Nine individuals - Z, Y, X, W, V, U, T, S and R - are the only candidates, who can serve on three committees

-K1

, K2 and K3, and each candidate should serve on exactly one of the committees. Committee K1 should consist of exactly one member more than committee K2. It is possible that there are no members in committee K3. Among Z, Y and X none can serve on committee K1. Among W, V and U none can serve on committee K2. Among T, S and R none can serve on committee K3.

Question: In case committee K2 is served by T and Z only, how many of the nine individuals should serve on committee K3?

A

3

B

4

C

5

D

6

Question 78

+6-1.5

Four students A, B, C and D distributed 30 marbles among themselves. No two students got equal number of marbles. No student got more than 10 marbles. No student got less than 5 marbles. A and C got odd number of marbles. B and D got even number of marbles. A got more marbles than B, C got more marbles than D, B got more marbles than D.

Question: Mean of number of marbles with B, C, D is:

A

6

B

7

C

8

D

NOT

Question 79

+6-1.5

Four students A, B, C and D distributed 30 marbles among themselves. No two students got equal number of marbles. No student got more than 10 marbles. No student got less than 5 marbles. A and C got odd number of marbles. B and D got even number of marbles. A got more marbles than B, C got more marbles than D, B got more marbles than D.

Question:What is the number of marbles with A?

A

6

B

7

C

8

D

9

Question 80

+6-1.5

Eight friends A through H, are sitting around a circular table, playing a game of cards. They belong to two different teams X and Y. No two persons of the same team sit in adjacent seats.

\newline

A sits neither opposite to D nor to H but is sitting in between C and G.

\newline

B sits neither opposite to A nor to G but is sitting in between F and D

\newline

B and H belong to team X and D sits opposite to E

Question:Who are sitting adjacent to E?

A

B and H

B

B and G

C

H and G

D

H and C

Question 81

+6-1.5

Eight friends A through H, are sitting around a circular table, playing a game of cards. They belong to two different teams X and Y. No two persons of the same team sit in adjacent seats.

\newline

A sits neither opposite to D nor to H but is sitting in between C and G.

\newline

B sits neither opposite to A nor to G but is sitting in between F and D

\newline

B and H belong to team X and D sits opposite to E

Question: Who are the members of team X?

A

A, D, F and E

B

B, H, C and E

C

B, D, H and G

D

B, H, C and G

Question 82

+6-1.5

In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:

A

75 cubic meter

B

750 cubic meter

C

750 cubic meter

D

750 cubic meter

Question 83

+6-1.5

In a certain code, DOES is written as 5$3% and SITE is written as %4#3. How is EDIT written in that code?

A

3#4$

B

%3#5

C

354#

D

4#5$

Question 84

+6-1.5

Two pipes A and B can fill the cistern in 37.5 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:

A

5 min

B

40 min

C

45 min

D

48 min

Question 85

+6-1.5

Mr. Kumar drives to work at an average speed of 48 Km/hr. The time taken to cover the first 60% of the distance is 10 minutes more than the time taken to cover the remaining distance. How far is his office?

A

30 Kms

B

40 Kms

C

45 Kms

D

48 Kms

Question 86

+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 his mother?

A

60 years

B

50 years

C

40 years

D

30 years

Question 87

+6-1.5

A runs

1\frac{2}{3}

times as fast as B. If A gives B a start of 80m, how far must the winning post be so that A and B might reach it at the same time?

A

200 m

B

400 m

C

300 m

D

160 m

Question 88

+6-1.5

In a city, 40.1% of the adults are illiterate while 85.1% of the children are literate. If the ratio of the adults to that of the children is 2:3, then what percent of the population is literate?

A

20%

B

25%

C

50%

D

75%

Question 89

+6-1.5

Four friends A, B, C and D need to cross a bridge in the night. A maximum of 2 people can cross at a time. They have only one lamp. A takes one minute to cross the bridge. B takes 2 minutes, C takes 8 minutes and D takes 11 minutes to cross the bridge respectively. A pair must walk together at the speed of the person who walks slowly. What is the minimum time required to cross the bridge by all the four people?

A

23 minutes

B

20 minutes

C

18 minutes

D

16 minutes

Question 90

+6-1.5

A set of consecutive positive integers beginning with 1 is written on the blackboard. A student came along and erased one number. The average of the remaining numbers is

35\frac{7}{17}

. What was the number erased?

A

7

B

8

C

9

D

None of the above

Question 91

+4-1

Read the following passage and answer the questions:

\newline

A Lichen is a composite organism that arises from algae living among filaments of multiple fungi in a symbiotic relationship. The combined lichen has properties different from those of its component organisms. Lichens come in many colours, sizes, and forms. The properties are sometimes plant like, but lichens are not plants. Lichens may have tiny leafless branches, flat leaflike structures or flakes that lie on the surface like peeling paint or other growth forms. Lichens occur from sea level to high alpine elevations, in many environmental conditions and can grow on almost any surface. Different kinds of lichens have adopted to survive in some of the most extreme environment on earth such as Arctic, Tundra, hot dry deserts, rocky coasts, and toxic slag heaps. They can even live inside solid rocks, growing between the grains. It is estimated that 6\% of the earth's land surface is covered by lichens. Some of them are considered to be the oldest living things. They are among the first living things to grow on fresh rock exposed after an event such as a land slide. The long-life span and slow but regular growth rate of some lichens can be used to date events.

Question:Identify the one-word opposite to SPAN in meaning

A

Stretch

B

Length

C

Duration

D

Compress

Question 92

+4-1

Read the following passage and answer the questions:

\newline

A Lichen is a composite organism that arises from algae living among filaments of multiple fungi in a symbiotic relationship. The combined lichen has properties different from those of its component organisms. Lichens come in many colours, sizes, and forms. The properties are sometimes plant like, but lichens are not plants. Lichens may have tiny leafless branches, flat leaflike structures or flakes that lie on the surface like peeling paint or other growth forms. Lichens occur from sea level to high alpine elevations, in many environmental conditions and can grow on almost any surface. Different kinds of lichens have adopted to survive in some of the most extreme environment on earth such as Arctic, Tundra, hot dry deserts, rocky coasts, and toxic slag heaps. They can even live inside solid rocks, growing between the grains. It is estimated that 6\% of the earth's land surface is covered by lichens. Some of them are considered to be the oldest living things. They are among the first living things to grow on fresh rock exposed after an event such as a land slide. The long-life span and slow but regular growth rate of some lichens can be used to date events.

Question:Choose the one which best expresses the meaning of the word FLAKES:

A

Peeling

B

Pip

C

Loaf

D

Whole

Question 93

+4-1

Read the following passage and answer the questions:

\newline

A Lichen is a composite organism that arises from algae living among filaments of multiple fungi in a symbiotic relationship. The combined lichen has properties different from those of its component organisms. Lichens come in many colours, sizes, and forms. The properties are sometimes plant like, but lichens are not plants. Lichens may have tiny leafless branches, flat leaflike structures or flakes that lie on the surface like peeling paint or other growth forms. Lichens occur from sea level to high alpine elevations, in many environmental conditions and can grow on almost any surface. Different kinds of lichens have adopted to survive in some of the most extreme environment on earth such as Arctic, Tundra, hot dry deserts, rocky coasts, and toxic slag heaps. They can even live inside solid rocks, growing between the grains. It is estimated that 6\% of the earth's land surface is covered by lichens. Some of them are considered to be the oldest living things. They are among the first living things to grow on fresh rock exposed after an event such as a land slide. The long-life span and slow but regular growth rate of some lichens can be used to date events.

Question:Question: The passage aims at the view

{\dots}

{\dots}

.

A

that Lichens are toxic in nature.

B

that sharing of things help easy growth.

C

that Lichens should be excluded from Botany.

D

how plants use solar energy.

Question 94

+4-1

Read the following passage and answer the questions:

\newline

A Lichen is a composite organism that arises from algae living among filaments of multiple fungi in a symbiotic relationship. The combined lichen has properties different from those of its component organisms. Lichens come in many colours, sizes, and forms. The properties are sometimes plant like, but lichens are not plants. Lichens may have tiny leafless branches, flat leaflike structures or flakes that lie on the surface like peeling paint or other growth forms. Lichens occur from sea level to high alpine elevations, in many environmental conditions and can grow on almost any surface. Different kinds of lichens have adopted to survive in some of the most extreme environment on earth such as Arctic, Tundra, hot dry deserts, rocky coasts, and toxic slag heaps. They can even live inside solid rocks, growing between the grains. It is estimated that 6\% of the earth's land surface is covered by lichens. Some of them are considered to be the oldest living things. They are among the first living things to grow on fresh rock exposed after an event such as a land slide. The long-life span and slow but regular growth rate of some lichens can be used to date events.

Question: The passage states all the following about Lichens EXCEPT

A

Lichen is an independent plant.

B

Lichens have different properties.

C

Lichens can grow in exotic conditions.

D

Lichens can be used to date events.

Question 95

+4-1

Choose the correct sentence of the following:

A

I prefer coffee to tea.

B

I prefer coffee for tea.

C

I prefer coffee than tea.

D

I prefer coffee by tea.

Question 96

+4-1

What is not included in a resume´?

A

Work experience

B

Education

C

Projects

D

Family history

Question 97

+4-1

Name the letter that is sent along with the CV (Curriculum Vitae).

A

Formal letter

B

Covering letter

C

Introductory letter

D

Business letter

Question 98

+4-1

I don't think I've ever

{\dots}

{\dots}

on that sofa.

A

been sitting

B

sat

C

sit

D

sitting

Question 99

+4-1

I never listen

{\dots}

{\dots}

the radio.

A

to

B

of

C

about

D

in

Question 100

+4-1

He was accused

{\dots}

{\dots}

. theft.

A

on

B

about

C

in

D

of

Question 101

+4-1

Choose the right option. Blessing in disguise is

{\dots}

{\dots}

.?

A

Something good

B

Something unrecognised

C

Something known to all

D

Something good but not recognized at first

Question 102

+4-1

To hold your horses'' means

A

To be ready

B

To be patient

C

To be eager

D

To be impatient

Question 103

+4-1

``To Vouch for'' means

A

To confirm

B

To degrade

C

To follow

D

To supersede

Question 104

+4-1

Identify the meaning of the following: It was all Greek to me

{\dots}

. .

A

Difficult to speak

B

Difficult to write

C

Difficult to arrange

D

Difficult to understand

Question 105

+4-1

Pick the word opposite in meaning: ABSURD

A

Cruel

B

Sensible

C

Calm

D

Sturdy

Question 106

+4-1

Pick the word similar in meaning: ALLEVIATE

A

Clear

B

Lessen

C

Match

D

Incite

Question 107

+4-1

Identify the type of error in the following sentence: Some of the books, were destroyed.

A

Syntactical error

B

Punctuation error

C

Grammatical error

D

Conflicting error

Question 108

+4-1

Choose the word that accurately signifies a student who avoids attending classes.

A

Diligent

B

Callous

C

Morose

D

Truant

Question 109

+4-1

Which of the following is a Noun?

A

Carelessness

B

Careless

C

Carelessly

D

Caring

Question 110

+4-1

Choose the correct expression of approval:

A

Super!

B

Rotten!

C

Damn!

D

Hell!

Question 111

+8-2

The logic XOR operation of (4AC0)

{}_{16}

and (B53F)

{}_{16}

results

A

AACB

B

0000

C

FFFF

D

ABCD

Question 112

+8-2

The equivalence of given expression 𝑥 + 𝑥’𝑦 with Boolean theorem is

{\dots}

.

A

𝑥

B

𝑥 + 𝑦

C

𝑥’

D

0

Question 113

+8-2

The time required for fetching and execution of one simple machine instruction is known as

A

Delay time

B

CPU cycle

C

Real Time

D

Seek Time

Question 114

+8-2

Consider the following circuit. How many minimum numbers of two input NAND gates are required to design the above circuit?

A

6

B

4

C

5

D

3

Question 115

+8-2

One Exabyte is equal to

{\dots}

A

10

{}^{18}

Bytes

B

1 Zetta Bytes divided (/) by one thousand

C

1 Peta Bytes multiplied (

\mathrm{\times}

) by one thousand

D

All of the above

Question 116

+8-2

Determine the octal equivalent of (432267)10?

A

(432267)8

B

(346731)8

C

(2164432)8

D

None of the above

Question 117

+8-2

The binary equivalent of (234.125)10?

A

(11101010.101)2

B

(10101010.011)2

C

(11101010.001)2

D

(10101110.011)2

Question 118

+8-2

Dynamic RAM consumes

{\dots}

{\dots}

. Power and

{\dots}

{\dots}

than Static RAM

A

More, Faster

B

More, Slower

C

Less, Slower

D

Less, Faster

Question 119

+8-2

The memory unit which directly communicates with the CPU is known as

A

Primary Memory

B

Secondary Memory

C

Shared Memory

D

Auxiliary Memory

Question 120

+8-2

Assume 𝑥’represents negation of x the Boolean function 𝑥’𝑦’ + 𝑥𝑦 + 𝑥’𝑦 is equivalent to?

A

𝑥’ + 𝑦

B

𝑥 + 𝑦

C

𝑥 + 𝑦’

D

𝑥’ + 𝑦’

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