CUET PG MCA 2022 Previous Year Question Paper and Solution with PDF

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CUET PG MCA
Previous Year Questions

CUET PG MCA
Previous Year Questions
CUET PG MCA

CUET PG MCA Previous Year Questions (PYQs)

CUET PG MCA 2022 PYQ

Qus : 1

If (25)^7.5 x (5)^2.5÷(125)^1.5 = 5x then x =?

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Solution

Qus : 2

Half of a large Pizza is cut into 4 equal-sized pieces, and the other half is cut into 6 equal-sized pieces. If a person were to eat 1 of the larger pieces and 2 of the Smaller pieces, what fraction ot the pizza would remain uneaten'?

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Qus : 3

In a business, A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 3:2. If Rs. 1,57,300 was their profit, how much amount did B receive?

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Qus : 4

Company A produces toy trucks at a cost of Rs. 50.00 each for the first 100 trucks and Rs. 35.00 for each additional truck. If 500 toy trucks were produced by Company A and sold for Rs. 100.00 each, what was Company A's gross profit?

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Solution

Qus : 5

A shopkeeper fixes the marked price of an item 35% above its cost price. The percentage of discount allowed to gain 8% is

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Solution

Qus : 6

Choose the odd one out:

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Solution

Qus : 7

Which of the following options is the correct alphabetical order of the four words given as:

Rumbustious, Rumanian, Rumour, Rumple

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Solution

Qus : 8

If 'ORANG' is coded as 'MTYPEG in a certain language, thhen how w CHILLY be coded in that language?

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Solution

Qus : 9

Choose the odd one out from the following:

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Solution

Qus : 10

Which will be the missing pattern in the series? Redraw figure

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Solution

Qus : 11

If MANGO' is coded as 'KCLIM' in a certain language then how will 'SWEETY' be coded in that language?

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Solution

Qus : 12

Which among the following words comes first in a dictionary?

Shrub, Shudder, Shroud, Shuttle

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Solution

Qus : 13

Which of the following options is the correct alphabetical order of the four words given below?

Sport, Squash, Sporadic, Sprout

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Solution

Qus : 14

What will be the Next Pattern in the series?

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Solution

Qus : 15

Complete the series by filling in the missing number

2, 5, 14, 57, 284, ?

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Solution

Qus : 16

$A=\begin{bmatrix}{\cos B} & {-\sin B} \\ {\sin B} & {\cos B}\end{bmatrix}$ then

$A+{A}^T=I$ for B equal to

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Solution

Qus : 17

The number of 7-digit numbers whose sum of the digits equals to 10 and which is formed by using the digits 1, 2, and 3 only is:

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Solution

Qus : 18

If from each of the three boxes containing 3 white and 1 black, 2 white and 2 black, 1 white and 3 black balls, one ball is drawn at random, then the probability that 2 white and 1 black balls will be drawn is:

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Solution

Qus : 19

Let

$f(x)=\, \vert{|x|}-1\vert$ , then point(s) where

$f(x)$ is not differentiable is (are):

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Solution

Qus : 20

Letf

$f:[2,\infty)\rightarrow R$ be the function defined by

$f(x)=x^2-4x+5$ , then the range of

$f$

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Solution

Qus : 21

The function

$f(x)= \frac{[ln(1+ax)-ln(1-b x)]}{x}$ is not defined at

$x=0$ . What value may be assigned to

$f$ at

$x=0$ , so that it is continuous?

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Solution

Qus : 22

The are enclosed between the graphs of

$y=x^3$ and the lines

$x=0$ ,

$y=1$ ,

$y=8$ is:

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Solution

Qus : 23

If the vertices of a triangle are O(0,0), A(a,0) and B(0,a). Then, the distance between its circumcenter and orthocenter is:

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Solution

Qus : 24

The straight lines x+y-4=0, 3x+y-4=0 and x+3y-4=0 form a triangle which is:

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Solution

Qus : 25

If one of the lines of

$ax^2+2hxy+by^2=0$ bisects the angle between the axes in the first quadrant, the

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Solution

Qus : 26

What is the value of :

$[tan^2(90-\theta)-sin^2(90-\theta)] cosec^2(90-\theta) cot^2 (90-\theta)$

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Solution

Qus : 27

$A+B=45{^{\circ}}$ , then

$(1+tanA)(1+tanB)$ is equal to:

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Solution

Qus : 28

$\vec{a}$ and

$\vec{b}$ are two unit vectors such that

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

$5\vec{a}-4\vec{b}$ are perpendicular to each other, then the angle between

$\vec{a}$ and

$\vec{b}$ is:

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Solution

Qus : 29

Let

$\vec{a}=\hat{i}-\hat{j}$ and

$\vec{b}=\hat{i}+\hat{j}+\hat{k}$ and

$\vec{c}$ be a vector such that

$(\vec{a} \times \vec{c})+\vec{b}=0$ and

$\vec{a}.\vec{c}=4$ , then

$|\vec{c}|^2$ is equal to

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Solution

Qus : 30

$\vec{a}$ ,

$\vec{b}$ ,

$\vec{c}$ and

$\vec{d}$ are the unit vectors such that

$(\vec{a} \times \vec{b}).(\vec{c} \times \vec{d})=1$ and

$(\vec{a}.\vec{c})=\frac{1}{2}$ , then

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Solution

Qus : 31

Let A ={1,2,3} and consider the relation R= {(1,1), (2,2), (3,3), (1,2), (2,3), (1,3)} then R is:

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Solution

Qus : 32

A spring is being moved up and down. An object is attached to the end of the spring that undergoes a vertical displacement. The displacement is given by the equation

$y = 3.50 sint + 1.20 sin2t$ . Find the first two values of t (in seconds) for which y =0.

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Solution

Qus : 33

A ball is thrown off the edge of a building at an angle of 60° and with an initial velocity of 5 meters per second. The equation that represents the horizontal distance of the ball x is

$x={{\nu}}_0(\cos \theta)t$ , where

${{\nu}}_0$ is the initial velocity.

$\theta$ is the angle at which it is thrown and

$t$ is the time in seconds. About how far will the ball travel in 10 seconds?

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Solution

Qus : 34

Let

$n$ be a positive integer and

$R=\{(a,b) \in Z\times Z\, |\, a-b\, =nm\, for\, \, some\, \, m\ne0\in Z\}$

Then R is:

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Solution

Qus : 35

The a, b, c and d are in GP and are in ascending order such that a+d = 112 and b+c 48. If the GP is continued with a as the first term, then the sum of the first six terms is:

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Solution

Qus : 36

Given below are two statements:

Statement I : If

$A\subset B$ then B can be expressed as

$B=A\cup(\overline{A}\cap B)$ and P(A) > P(B).

Statement II : If A and B are independent events, then (

$A$ and

$\overline{B}$ ), (

$\overline{A}$ and

$B$ ) and (

$\overline{A}$ and

$\overline{B}$ ) are also independent

In the light of the above statements, choose the most appropriate answer from the options given below:

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Solution

Qus : 37

Given the following truth table:

A	B	X
0	0	1
0	1	0
1	0	0
1	1	0

Which of the following Boolean functions does it represent?

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Solution

Qus : 38

$\vec{a}$ ,

$\vec{b}$ and

$\vec{c}$ are unit vectors, then

$|\vec{a}-\vec{b}|^2+|\vec{b}-\vec{c}|^2+|\vec{c}-\vec{a}|^2$ does not exceed

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Solution

Qus : 39

The product of two four bit positive binary numbers 1011 and 0011 is

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Solution

Qus : 40

$\vec{a}=\hat{i}+\hat{j}+\hat{k}$ ,

$\vec{a}.\vec{b}=1$ and

$\vec{a} \times \vec{b}=\hat{j}-\hat{k}$ , then

$\vec{b}$ is equal to

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Solution

Qus : 41

Consider the diagram given below and the following two statements:

Statement I: Events A and B can be expressed as:

$\begin{array}{ll}{A=(A\cap\overline{B})\cup Y} \\ {B=(A\cap B)\cup Z}\, \end{array}$

Statement II: Events A and B can be expressed as:

$A= X-Y$

$B=Y+Z$

In the light of the above statements, choose the most appropriate answer from the options given below:

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Solution

Qus : 42

The simplified form of the Boolean Expression AB+AB' is ______

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Solution

Qus : 43

Representation of -11 in sign and magnitude is :

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Solution

Qus : 44

1001 is 2's complement representation of _______

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Solution

Qus : 45

Match List I with List II :

LIST I	LIST II
A. (x+y)'	I. 1
B. x+1	II. x'+y'
C. (xy)'	III. x'.y'
D. x+0	IV. x

Choose the correct answer from the options given below:

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Solution

Qus : 46

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A : Carbon Monoxide when inhaled causes death.

Reason R: Carbon monoxide combines with haemoglobin.

In the light of the above statements, choose the most appropriate answer from the options given below:

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Solution

Qus : 47

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A : In a class of 40 students. 22 drink Sprite, 10 drink Sprite but not Pepsi. Then the number of students who drink both Sprite and Pepsi is 15.

Reason R: For any two finite sets A and B,

$n(A) = n(A - B) + n (A \cup B)$

In the light of the above statements, choose the most appropriate answer from the options given below:

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Solution

Qus : 48

Universities in India are preferring traditional attire during convocations.

A. Indian Universities are against Western dresses.

B. Indian universities wants to promote traditional dresses.

C. Indians love to celebrate occasions traditionally.

D. Indian traditional dresses are better than Western wear.

E. Western wear is banned by the government

Choose the correct answer from the options given below:

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Solution

Qus : 49

Match the list

LIST 1	LIST 2
A. If 4th term of a G.P. is square of its second term, and its first term is 3, then common ratio is _______	I. 5
B. The first term of an AP is 5 and the last term is 45 and the sum of the terms is 400. The number of terms is_____	II. -5/2
C. The sum of three numbers which are in AP is 27 and sum of their squares is 293. Then the common difference is ______	III. 16
D. The fourth and 54th terms of an AP are, respectively, 64 and -61. The common difference is ______	IV. 3

choose the correct answer from the options given below:

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Solution

Qus : 50

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R

Assertion A : The system of equations x + y + z = 4, 2x - y + 2z = 5, x - 2y - z = 3 has unique solution.

Reason R: If A is 3 x 3 matrix and B is a 3 x 1 non-zero column matrix. then the equation AX = B has unique solution if A is non-singular.

In the light of the above statements, choose the most appropriate answer from the options given below:

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Solution

Qus : 51

Given below are two statements:

Statement I: 011010 is 2's complement representation of -37.

Statement II: 111₍₈₎ is octal representation of 73.

In the light of the above statements, choose the most appropriate answer from the options given below :

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Solution

Qus : 52

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A : Binary information is represented in digital in terms of 'zeros' and 'ones.

Reason R: Digital computers are electronic devices, which operate using electrical voltages.

In the light of the above statements, choose the most appropriate answer from the options given below:

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Solution

Qus : 53

Consider the diagram given below and the following two statements:

Statement I: Regions X, Y and Z can be expressed as

$A\cap\overline{B},\, A\cap B$ and

$\, \overline{A}\cap B$ respectively

Statement II: P(Y) = P (A) - P (X) = P (B) - P (Z)

In the light of the above statements, choose the correct answer from the options given below:

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Solution

Qus : 54

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A : Goitre is a common disease in mountainous regions.

Reason R: The diet of the people in mountains lacks Iodine content.

In the light of the above statements, choose the most appropriate answer from the options given below:

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Solution

Qus : 55

Which of the following storage hardwares can be used as a back-up device?

A. HDD

B. ROM

C. RAM

D. Cache

E. Magnetic Tape

Choose the correct answer from the options given below:

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Solution

Qus : 56

In a class there are 400 students, the following table shows the number of students studying one or more of the subjects:

Subject	Number of Students
Mathematics	250
Physics	150
Chemistry	100
Mathematics and Physics	100
Mathematics and Chemistry	60
Physics and Chemistry	40
Mathematics, Physics and chemistry	30

A. The number of students who study only Mathematics is 100.

B. The number of students who study only Physics is 40.

C. The number of students who study only Chemistry is 40.

D. The number of students who do not study Mathematics, Physics and Chemistry is 70.

Choose the correct answer from the options given below:

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Solution

Qus : 57

The arithmetic means of two observations is 125 and their geometric mean is 60. Find the harmonic mean of the two observations.

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Solution

Qus : 58

The arithmetic mean and standard deviation of series of 20 items were calculated by a student as 20 cm and 5 cm respectively. But while calculating them an item 15 was misread as 30. Find the correct standard deviation.

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Solution

Qus : 59

In a processor, while executing an instruction

A. Programme Counter is used to hold the address of next instruction.

B. Instruction register holds the instruction for execution.

C. Memory Address Register is used to perform address translation.

D. Memory Data Register is used to perform data operation

E. Clock generates control signals.

Choose the correct answer from the options given below:

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Solution

Qus : 60

Given the marks of 25 students in the class as

$\{m_1,m_2,m_3,..m_{25}\}$ . Marks lie in the range of [1-100] and

$\overline{m}$ is the mean. Which of the following quantity has the value zero?

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Solution

Qus : 61

India has been continuously experiencing military threats from its neighbouring countries.

Statement I: India should engage into an all out war to stop the nagging threats.

Statement II: India should get the neighbours into a serious dialogue to reduce the tension at its border.

In the light of the above statements, choose the correct answer from the options given below:

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Solution

Qus : 62

A + B means A is daughter of B

A x B means A is son of B

A -B means A is the wife of B

P x Q-S means

Statement I: S is father of P

Statement II: P is daughter of Q

In the light of the above statements, choose the correct answer from the options given below:

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Solution

Qus : 63

The terms

$1,\, \log _y(x),\, \log _z(y)\, and\, 15\log _x(z)$ are in AP.

Based on this information answer the following questions.

The Common difference of AP is

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Solution

Qus : 64

The terms

$1,\, \log _y(x),\, \log _z(y)\, and\, 15\log _x(z)$ are in AP.

Based on this information answer the following questions.

The value of xy is:

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Solution

Qus : 65

From among the four options given, choose the correct sequence of the four phrases given below, to make a meaningful sentence :

A. Lower our guard and our masks

B. repeatedly whether the pandemic might finally

C. be over, many of us are willing to

D. having asked ourselves

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Solution

Qus : 66

The terms

$1,\, \log _y(x),\, \log _z(y)\, and\, 15\log _x(z)$ are in AP.

Based on this information answer the following questions.

yz is equal to :

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Solution

Qus : 67

Which of the following is a one-word substitute for 'the quality of having a ready insight into things'?

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Solution

Qus : 68

Consider n events

${{E}}_1,{{E}}_2\ldots{{E}}_n$ with respective probabilities

${{p}}_1,{{p}}_2\ldots{{p}}_n$ . If

$P\Bigg{(}{{E}}_1,{{E}}_2\ldots{{E}}_n\Bigg{)}=\prod ^n_{i=1}{{p}}_i$ , then

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Solution

Qus : 69

Identify the correct indirect narration for the following sentence:

The lady said to the servant, "If you don't wash the clothes properly, I will dismiss you".

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Solution

Qus : 70

Given a set of events

${{E}}_1,{{E}}_2\ldots{{E}}_n$ defined on the sample space S such that :

(i)

$\forall\, i\, and\, j,\, i\ne j,\, {{E}}_i\cap{{E}}_j=\phi$

(ii)

$\begin{matrix}\overset{{n}}{\bigcup } \\ ^{i=1}\end{matrix}{{E}}_i=S$

(iii)

$P({{E}}_i){\gt}0,\, \forall$

Then the events are

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Solution

Qus : 71

Pick the plural form of 'matrix'.

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Solution

Qus : 72

Given the following statement and five possible conclusions.

All scientists working in America are talented.

Some Indian scientists are working in America.

A. None of Indian scientists are talented.

B. Some talented Indian scientists have migrated to America.

C. All talented scientists are Indians.

D. Some Indian scientists are talented.

E. Scientist working in India are not talented.

Choose the correct answer from the options given below:

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Solution

Qus : 73

Which of the following options will be the correct choice for the blank?

I'm not sure where he is. He _________ out for a walk.

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Solution

Qus : 74

Ministers arrived at the public function in their cars. Consider the following statements.

A. All Ministers are rich.

B. Minister have official cars in general.

C. Minister usually participate in public functions.

D. Only rich Ministers arrive in cars.

E. Person with cars can only be a Minister.

Choose the correct answer from the options given below:

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Solution

Qus : 75

Match List I with List II :

List A (Animals)	List B (Sounds)
A. apes	1. howl
B. wolves	2. gibber
C. lambs	3. squeal
D. pigs	4. bleat

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Solution

Qus : 76

The simplified form of Boolean expression:

$\overline{A}BC+ABC$ is

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Solution

Qus : 77

From among the four options given, choose the one which is a grammatically correct sentence.

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Solution

Qus : 78

4 Indians, 3 Americans and 2 Britishers are to be arranged around a round table. Answer the following questions.

The number of ways arranging them is :

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Solution

Qus : 79

From among the four options given, choose the one in which the word has been spelled correctly.

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Solution

Qus : 80

4 Indians, 3 Americans and 2 Britishers are to be arranged around a round table. Answer the following questions.

The number of ways arranging them so that the two Britishers should never come together is:

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Solution

Qus : 81

Choose the correct option to make a meaningful sentence.

Sneha is __________ in the art of cooking.

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Solution

Qus : 82

4 Indians, 3 Americans and 2 Britishers are to be arranged around a round table. Answer the following questions.

The number of ways of arranging them so that the three Americans should sit together is:

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Solution

Qus : 83

Choose the correct preposition to complete the following sentence.

Ramanujan is good ________ mathematics.

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Solution

Qus : 84

Math List I with List II

LIST I (Books)	LIST II (Authors)
A. The story of my Experiments with Truth	I. Maulana abul Kalam Azad
B. Glimpses of World Freedom	II. Narendra Modi
C. India wins Freedom	III. Pandit Jawaharlal Nehru
D. Exam Warriors	IV. MK Gandhi

Choose the correct answer from the options given below

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Solution

Qus : 85

Reversing Roe is a documentary film centered on:

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Solution

Qus : 86

Math List I with List II

LIST I	LIST II
A. Austria	I. Oslo
B. Iran	II. Stockholm
C. Norway	III. Vienna
D. Sweden	IV. Tehran

Choose the correct answer from the options given below

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Solution

Qus : 87

Match List I with List II

List I (Nobel Proze winners)	List II (Area/Subject)
A. Md. Yunus	I. Chemistry
B. Abdus Salman	II. Peace
C. Venkatraman Ramakrishnana	III. Economics
D. Maria Ressa	IV. Physics

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Solution

Qus : 88

Given three identical boxes B₁ B₂ and B₃ each containing two balls. B₁ containstwo golden balls. B₂ contains two silver balls and B₃ contains one silver and onegolden ball. Conditional probabilities that the golden ball is drawn from B₁, B₂, B₃are ____,______,______ respectively

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Solution

Qus : 89

Match List I with List II:

List I (Author)	List II (Title of the book)
A.Salman Rushdie	I. The Inheritance of Loss
B. Arundhati Roy	II. The White Tiger
C. Kiran Desai	III. The God of Small Things
D. Aravind Adiga	IV. Midnight's Children

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Solution

Qus : 90

Math List I with List II:

LIST I	LIST 2
A. In a GP, the third term is 24 and 6th term is 192. The common ratio is _____	I. 78
B. Let S_n denotes the sum of first n terms of an AP. If S_2n=3S_n, then S_3n/S_n equals to _______	II. 6
C. The sum of 3 terms of a GP is 13/12 and their product is -1. The first term is ______	III. -1
D. The least value of n for which the sum 3+6+9+...+n is greater than 1000 is	IV. 2

Choose the correct answer from the options given below :

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Solution

Qus : 91

Match List I with List II:

List I (FM Radio)	List II (Tag Line)
A. Radio Mirchi	I. Dhoon badal ke toh Dekho
B. My FM	II. International Indians
C. Big FM	III. Jio dil se
D. Radio One	IV. ..... Sunne wale always khush

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Solution

Qus : 92

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A : Military service should be made compulsory in our country.

Reason R: Every citizen should protect his country.

In the light of the above statements. choose the most appropriate answer from the options given below:

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Solution

Qus : 93

Which company manufactured the Ambassador car?

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Solution

Qus : 94

Math List I with List II :

$\omega \ne1$ is a cube root of unity.

LIST I	LIST II
A. The value of $\frac{1}{9}(1-\omega)(1-{\omega}^2)(1-{\omega}^4)(1-{\omega}^8)\,$ is	I. 0
B. $\omega{(1+\omega-{\omega}^2)}^7$ ________ is equal to	II. 1
C. The least positive integer n such that ${(1+{\omega}^2)}^n={(1+{\omega}^4)}^n$ is	III. -128
D. $(1+\omega+{\omega}^2)$ is equal to	IV. 3

Choose the correct answer from the options given below:

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Solution

Qus : 95

Pointing towards a boy, a girl said, "He is the son of the daughter of the father of my uncle. "How is the boy related to the girl?

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Solution

Qus : 96

Math List I with List II :

$\omega \ne1$ is a cube root of unity.

LIST I	LIST II
A. $\log _4(\log _3(81))=$	I. 0
B. ${3}^{4\log _9(7)}={7}^k$ , then k =	II. 3
C. ${2}^{\log _3(5)}-{5}^{\log _3(2)}=$	III. 1
D. $\log _2[\log _2(256)]=$	IV. 2

Choose the correct answer from the options given below:

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Go to Discussion

Solution

Qus : 97

If A+B means A is the mother of B; A - B means A is the brother of B; A % B means A is the father of B and A x B means A is the sister of B, which of the following shows that P is the maternal uncle of Q?

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Solution

Qus : 98

If Z = 52 and ACT = 48, then RAT will be equal to -

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Solution

Qus : 99

There are equations that have become wrong due to the incorrect order of signs. From the four alternatives, given below, find out the correct order of signs. So that the equation becomes right.

8 ÷ 9 = 9 - 81

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Solution

Qus : 100

If +means *, / means - , * means / and - means +. What will be the value of 4 + 11 / 5 - 55 =?

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Solution

Qus : 101

If 2 cats catch 2 mice in 2 minutes, how many cats are needed to catch 18 mice in 18 minutes?

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Solution

By the formula

$\frac{M_1 H_1 D_1}{W_1}$ =

$\frac{M_2 H_2 D_2}{W_2}$ ----(i)

Here

$M_1=2, H_1=2, W_1=2$

$M_2=?, H_2=18, W_2=18$

Using (i)

$\frac{2 \times 2 \times 1}{2}$ =

$\frac{M_2 \times 18 }{18}$

$M_2=2$

Hence, 2 cats are needed to catch 18 mice.

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