Phrases 2022 Previous Year Question Paper and Solution with PDF

Aspire's Library

A Place for Latest Exam wise Questions, Videos, Previous Year Papers,
Study Stuff for MCA Examinations

Phrases
Previous Year Questions

Phrases
Previous Year Questions
Phrases

Phrases Previous Year Questions (PYQs)

Phrases 2022 PYQ

Qus : 1

Inverse of the function

$f(x)=\frac{10^x-10^{-x}}{10^{x}+10^{-x}}$ is

1
2
3
4
Go to Discussion

Solution

Let

$f(x)=y$ , then

⇒

$\frac{10^x-10^-x}{10^x+10^-x}=y$

⇒

$\frac{10^{2x}-1}{10^{2x}+1}=y$

⇒

$10^{2x}=\frac{1+y}{1-y}$ By Componendo Dividendo Rule

⇒

$x=\frac{1}{2}\log _{10}\Bigg{(}\frac{1+y}{1-y}\Bigg{)}$

⇒

${f}^{-1}(y)=\frac{1}{2}\log _{10}\Bigg{(}\frac{1+y}{1-y}\Bigg{)}$

⇒

${f}^{-1}(x)=\frac{1}{2}\log _{10}\Bigg{(}\frac{1+x}{1-x}\Bigg{)}$

Qus : 2

Let

$\vec{a}, \vec{b}, \vec{c}$ be distinct non-negative numbers. If the vectors

$a\hat{i}+a\hat{j}+c\hat{k}$ ,

$\hat{i}+\hat{k}$ and

$c\hat{i}+c\hat{j}+b\hat{k}$ lie in a plane, then c is

1
2
3
4
Go to Discussion

Solution

$\vec{a}=a\hat{i}+a\hat{j}+c\hat{k}\, ,\, \vec{b}=\hat{i}+\hat{k}\, \&\, \vec{c}=c\hat{i}+c\hat{j}+b\hat{k}$ are coplanar.

$\Rightarrow\begin{vmatrix}{a} & {a} & {c} \\ {1} & {0} & {1} \\ {c} & {c} & {b}\end{vmatrix}=0$

$\Rightarrow-ac-ab+ac+{c}^2=0$

$\Rightarrow{c}^2=ab$

Qus : 3

The correct expression for

$cos^{-1} (-x)$ is

1
2
3
4
Go to Discussion

Solution

You should learn it as an important formula.

Qus : 4

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, traverses a circle of radius 5 centered at the origin. What is the highest temperature encountered by the ant?

1
2
3
4
Go to Discussion

Solution

Qus : 5

The 10th and 50th percentiles of the observation 32, 49, 23, 29, 118 respectively are

1
2
3
4
Go to Discussion

Solution

Qus : 6

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°, 45° and 60° respectively. The ratio of AB and BC is

1
2
3
4
Go to Discussion

Solution

Qus : 7

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

$b^2$

1
2
3
4
Go to Discussion

Solution

Qus : 8

A particle is at rest at the origin. It moves along the x −axis with an acceleration

$x-x^2$ , where x is the distance of the particle at time t. The particle next comes to rest after it has covered a distance

1
2
3
4
Go to Discussion

Solution

Qus : 9

$a{\lt}b$ then

$\int ^b_a\Bigg{(}|x-a|+|x-b|\Bigg{)}dx$ is equal to

1
2
3
4
Go to Discussion

Solution

Qus : 10

The domain of the function

$f(x)=\frac{{\cos }^{-1}x}{[x]}$ is

1
2
3
4
Go to Discussion

Solution

Qus : 11

If the volume of the parallelepiped whose adjacent edges are

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

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

$\vec{c}=\hat{i}+2\hat{j}+\alpha \hat{k}$ is 15, then

$\alpha$ is equal to

1
2
3
4
Go to Discussion

Solution

Qus : 12

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

$6y − 8x = 1$ , then

1
2
3
4
Go to Discussion

Solution

Qus : 13

$cosec\theta-cot \theta=2$ , then the value of

$cosec\theta$ is

1
2
3
4
Go to Discussion

Solution

Qus : 14

The solution of the equation

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

1
2
3
4
Go to Discussion

Solution

Qus : 15

The function

$f(x)=\begin{cases}{{(1+2x)}^{1/x}} & {,x\ne0} \\ {{e}^2} & {,x=0}\end{cases}$ , is

1
2
3
4
Go to Discussion

Solution

Qus : 16

Let

$\vec{a}=2\hat{i}+2\hat{j}+\hat{k}$ and

$\vec{b}$ be another vector such that

$\vec{a}.\vec{b}=14$ and

$\vec{a} \times \vec{b}=3\hat{i}+\hat{j}-8\hat{k}$ the vector

$\vec{b}$ =

1
2
3
4
Go to Discussion

Solution

Qus : 17

Which term of the series

$\frac{\sqrt[]{5}}{3},\, \frac{\sqrt[]{5}}{4},\frac{1}{\sqrt[]{5}},\, ...$ is

$\frac{\sqrt{5}}{13}$ ?

1
2
3
4
Go to Discussion

Solution

Qus : 18

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

1
2
3
4
Go to Discussion

Solution

Qus : 19

A survey is done among a population of 200 people who like either tea or coffee. It is found that 60% of the pop lation like tea and 72% of the population like coffee. Let

$x$ be the number of people who like both tea & coffee. Let

$m{\leq x\leq n}$ , then choose the correct option.

1
2
3
4
Go to Discussion

Solution

Qus : 20

The value of

$\cot \Bigg{(}{cosec}^{-1}\frac{5}{3}+{\tan }^{-1}\frac{2}{3}\Bigg{)}$ is

1
2
3
4
Go to Discussion

Solution

Qus : 21

$0{\lt}P(A){\lt}1$ and

$0{\lt}P(B){\lt}1$ and

$P(A\cap B)=P(A)P(B)$ , then

1
2
3
4
Go to Discussion

Solution

Qus : 22

Which of the following is NOT true?

1
2
3
4
Go to Discussion

Solution

Qus : 23

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

1
2
3
4
Go to Discussion

Solution

Qus : 24

${{a}}_1,{{a}}_2,\ldots,{{a}}_n$ are any real numbers and

$n$ is any positive integer, then

1
2
3
4
Go to Discussion

Solution

Qus : 25

$D={\begin{vmatrix}{1} & 1 & {1} \\ 1 & {2+x} & {1} \\ {1} & {1} & {2+y}\end{vmatrix}}\, for\, x\ne0,\, y\ne0$ then D is

1
2
3
4
Go to Discussion

Solution

Qus : 26

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

1
2
3
4
Go to Discussion

Solution

Qus : 27

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

1
2
3
4
Go to Discussion

Solution

Qus : 28

For

$a\in R$ (the set of al real numbers),

$a \ne 1$ ,

$\lim _{{n}\rightarrow\infty}\frac{({1}^a+{2}^a+{\ldots+{n}^a})}{{(n+1)}^{a-1}\lbrack(na+1)(na+b)\ldots(na+n)\rbrack}=\frac{1}{60}$ . Then one of the value of

$a$ is

1
2
3
4
Go to Discussion

Solution

Qus : 29

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

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

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

$\begin{bmatrix}{\vec{a}} & {\vec{b}} & {\vec{c}} \end{bmatrix}=7$ , then the values of the

$\lambda$ are

1
2
3
4
Go to Discussion

Solution

Qus : 30

The function

$f(x)=\log (x+\sqrt[]{{x}^2+1})$ is

1
2
3
4
Go to Discussion

Solution

Qus : 31

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

1
2
3
4
Go to Discussion

Solution

Qus : 32

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

1
2
3
4
Go to Discussion

Solution

Qus : 33

${\Bigg{(}\frac{x}{a}\Bigg{)}}^2+{\Bigg{(}\frac{y}{b}\Bigg{)}}^2=1$ ,

$(a{\gt}b)$ and

${x}^2-{y}^2={c}^2$ cut at right angles, then

1
2
3
4
Go to Discussion

Solution

$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ and

$\frac{x^2}{c^2}+\frac{y^2}{d^2}=1$ are orthogonal.

Then

$a^2-b^2=c^2-d^2$

Similarly

$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ and

$x^2-y^2=c^2$ are orthogonal.

It means

$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ and

$\frac{x^2}{c^2}+\frac{y^2}{-c^2}=1$ are orthogonal

Then

$a^2-b^2=c^2-(-c^2)$

$a^2-b^2=2c^2$

Qus : 34

$\alpha , \beta$ are the roots of

$x^2-x-1=0$ and

$A_n=\alpha^n+\beta^n$ , the Arithmetic mean of

$A_{n-1}$ and

$A_n$ is

1
2
3
4
Go to Discussion

Solution

Qus : 35

$a_1, a_2, a_3,...a_n$ , are in Arithmetic Progression with common difference d, then the sum

$(sind) (cosec a_1 . cosec a_2+cosec a_2.cosec a_2+...+cosec a_{n-1}.cosec a_n)$ is equal to

1
2
3
4
Go to Discussion

Solution

Qus : 36

Solutions of the equation

${\tan }^{-1}\sqrt[]{{x}^2+x}+{\sin }^{-1}\sqrt[]{{x}^2+x+1}=\frac{\pi}{2}$ are

1
2
3
4
Go to Discussion

Solution

Qus : 37

In a Harmonic Progression,

$p^{th}$ term is

$q$ and the

$q^{th}$ term is

$p$ . Then

$pq^{th}$ term is

1
2
3
4
Go to Discussion

Solution

Qus : 38

If the roots of the quadratic equation

$x^2+px+q=0$ are tan 30° and tan 15° respectively, then the value of 2 + p - q is

1
2
3
4
Go to Discussion

Solution

Qus : 39

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

1
2
3
4
Go to Discussion

Solution

Qus : 40

The value of

$\int \frac{({x}^2-1)}{{x}^3\sqrt[]{2{x}^4-2{x}^2+1}}dx$

1
2
3
4
Go to Discussion

Solution

Qus : 41

Coordinate of the focus of the parabola

$4y^2+12x-20y+67=0$ is

1
2
3
4
Go to Discussion

Solution

Qus : 42

There are two circles in xy −plane whose equations are

$x^2+y^2-2y=0$ and

$x^2+y^2-2y-3=0$ . A point

$(x,y)$ is chosen at random inside the larger circle. Then the probability that the point has been taken from smaller circle is

1
2
3
4
Go to Discussion

Solution

Qus : 43

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

1
2
3
4
Go to Discussion

Solution

Qus : 44

$x^my^n$ =

$(x+y)^{m+n}$ , then

$\frac{dy}{dx}$ is

1
2
3
4
Go to Discussion

Solution

Qus : 45

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

$9x^2-12xy cos\phi+4y^2$ is

1
2
3
4
Go to Discussion

Solution

Qus : 46

The value of

${3}^{3-\log _35}$ is

1
2
3
4
Go to Discussion

Solution

Qus : 47

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)

1
2
3
4
Go to Discussion

Solution

Qus : 48

The eccentricity of an ellipse, with its center at the origin is

$\frac{1}{3}$ . If one of the directrices is

$x=9$ , then the equation of ellipse is:

1
2
3
4
Go to Discussion

Solution

Qus : 49

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

1
2
3
4
Go to Discussion

Solution

Qus : 50

$(\vec{a} \times \vec{b}) \times \vec{c}= \vec{a} \times (\vec{b} \times \vec{c})$ , then

1
2
3
4
Go to Discussion

Solution

Qus : 51

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

1
2
3
4
Go to Discussion

Solution

Qus : 52

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

1
2
3
4
Go to Discussion

Solution

Qus : 53

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

1
2
3
4
Go to Discussion

Solution

Qus : 54

Fill in the blank:

HEC, JGE, LIG, NKI, ______

1
2
3
4
Go to Discussion

Solution

Qus : 55

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

1
2
3
4
Go to Discussion

Solution

Qus : 56

DNN, FQQ, HTT, ______, LZZ

1
2
3
4
Go to Discussion

Solution

Qus : 57

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

BUTTERFLY : FREEDOM

1
2
3
4
Go to Discussion

Solution

Qus : 58

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

FRUGAL : EXTRAVAGANT

1
2
3
4
Go to Discussion

Solution

Qus : 59

In the following figure, find the total number of squares.

1
2
3
4
Go to Discussion

Solution

Qus : 60

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

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

1
2
3
4
Go to Discussion

Solution

Qus : 61

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

1
2
3
4
Go to Discussion

Solution

Lions, Elephants, and Animals

Lions and Elephants are different animals.

Qus : 62

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

1
2
3
4
Go to Discussion

Solution

Qus : 63

Fill in the blank:

JAK, KBL, LCM, MDN, _____

1
2
3
4
Go to Discussion

Solution

Qus : 64

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

DEBACLE

1
2
3
4
Go to Discussion

Solution

Qus : 65

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

code?

1
2
3
4
Go to Discussion

Solution

Qus : 66

Select the related word from the given alternatives.

MELT : LIQUID : : FREEZE : ?

1
2
3
4
Go to Discussion

Solution

Qus : 67

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?

1
2
3
4
Go to Discussion

Solution

Qus : 68

Identify the sixth number in the series:

6, 11, 21, 36, 56, ?

1
2
3
4
Go to Discussion

Solution

Qus : 69

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?

1
2
3
4
Go to Discussion

Solution

Qus : 70

Statements:

No women teacher can play.

Some women teachers are athletes.

Conclusions:

I. Male athletes can play.

II. Some athletes can play.

1
2
3
4
Go to Discussion

Solution

Qus : 71

Statements:

All mangoes are golden in colour.

No golden-coloured things are cheap.

Conclusions:

I. All mangoes are cheap.

II. Golden-coloured mangoes are not cheap.

1
2
3
4
Go to Discussion

Solution

Qus : 72

Statements:

All young scientists are open-minded.

No open-minded men are superstitious.

Conclusions:

I. No scientist is superstitious.

II. No young people are superstitious.

1
2
3
4
Go to Discussion

Solution

Qus : 73

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?

1
2
3
4
Go to Discussion

Solution

Qus : 74

Find out the wrong number in the FOLLOWING series.

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

1
2
3
4
Go to Discussion

Solution

Qus : 75

Find out the wrong number in the FOLLOWING series.

30, −5, −45, −90, −145, −195, −255

1
2
3
4
Go to Discussion

Solution

Qus : 76

The following questions are based on the pie charts given below.

Percentage-wise distribution of students studying in Arts and Commerce in seven

different institutions – A, B, C, D, E, F, and G.

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

1
2
3
4
Go to Discussion

Solution

Qus : 77

The following questions are based on the pie charts given below.

Percentage-wise distribution of students studying in Arts and Commerce in seven

different institutions – A, B, C, D, E, F, and G.

How many students from Institute B study Arts and Commerce?

1
2
3
4
Go to Discussion

Solution

Qus : 78

The following questions are based on the pie charts given below.

Percentage-wise distribution of students studying in Arts and Commerce in seven

different institutions – A, B, C, D, E, F, and G.

The ratio of the number of students studying Arts to that studying commerce in Institute E is

1
2
3
4
Go to Discussion

Solution

Qus : 79

Statement:

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

Course of Action

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

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

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

1
2
3
4
Go to Discussion

Solution

Qus : 80

Statement:

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

Course of Action

I. Municipal Corporation of the city should take immediate action.

II. This problem should be raised in UNESCO.

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

1
2
3
4
Go to Discussion

Solution

Qus : 81

Direction: Read the following information carefully and answer the questions.

Five Dramas A, B, C, D, and E have to be staged in 6 hours where 1 hour needs to be given per drama.

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

II. Drama show cannot be started with A and cannot end with C

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

IV. A cannot be done immediately after D.

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

Which hour is a break hour?

1
2
3
4
Go to Discussion

Solution

Qus : 82

Direction: Read the following information carefully and answer the questions.

Five Dramas A, B, C, D, and E have to be staged in 6 hours where 1 hour needs to be given per drama.

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

II. Drama show cannot be started with A and cannot end with C

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

IV. A cannot be done immediately after D.

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

Which is the drama to be staged first?

1
2
3
4
Go to Discussion

Solution

Qus : 83

Direction: Read the following information carefully and answer the questions.

Five Dramas A, B, C, D, and E have to be staged in 6 hours where 1 hour needs to be given per drama.

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

II. Drama show cannot be started with A and cannot end with C

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

IV. A cannot be done immediately after D.

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

Which is the drama staged immediately after the break?

1
2
3
4
Go to Discussion

Solution

Qus : 84

Direction: Read the following information carefully and answer the questions.

Five Dramas A, B, C, D, and E have to be staged in 6 hours where 1 hour needs to be given per drama.

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

II. Drama show cannot be started with A and cannot end with C

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

IV. A cannot be done immediately after D.

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

Which drama is staged immediately after D?

1
2
3
4
Go to Discussion

Solution

Qus : 85

Direction: Read the following information carefully and answer the questions.

Five Dramas A, B, C, D, and E have to be staged in 6 hours where 1 hour needs to be given per drama.

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

II. Drama show cannot be started with A and cannot end with C

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

IV. A cannot be done immediately after D.

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

Which drama is staged immediately after E?

1
2
3
4
Go to Discussion

Solution

Qus : 86

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?

1
2
3
4
Go to Discussion

Solution

Let the required number of bottles be x.

More machines, More bottles (Direct Proportion)

More minutes, More bottles (Direct Proportion)

$\begin{matrix}{\begin{matrix}{Machines} & {6\colon10}\end{matrix}} \\ {\begin{matrix}{Time} & {\, \, \, \, \, \, \, \, \, \, 1\colon4}\end{matrix}}\end{matrix}\Bigr{\}}: : 270:x$

∴

$6×1×x=10×4×270$

⇒

$x= \frac{(10×4×270)}{6}$

⇒

$x=1800$

Qus : 87

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

1
2
3
4
Go to Discussion

Solution

$\theta=30H-5.5M$

0=30*3-5.5M

$\frac{90}{5.5}$

$\frac{180}{11}$

$16 \frac{4}{11}$

Qus : 88

1. A is the brother of B

2. C is the father of A

3. D is the brother of E.

4. E is the daughter of B

Then, the uncle of D is?

1
2
3
4
Go to Discussion

Solution

Clearly, D is the brother of E and E is the daughter of B.

So, D is the son of B. Also, A is the brother of B.

So, A is the uncle of D.

Qus : 89

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?

1
2
3
4
Go to Discussion

Solution

Let present age of mother is x,

then present age of his som =

$\frac{2x}{5}$

After 8 year son's age

$\frac{2x}{5}+8$

mother's age =

$x+8$

And given that son's age is

$\frac{1}{2}$ time of mother's

$\frac{2x}{5}+8=\frac{1}{2}(x+8)$

Hence ,present age of mother is 40

Qus : 90

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

1
2
3
4
Go to Discussion

Solution

The first number = (1657 - 6) = 1651

Second number = (2037 - 5) = 2032

Taking the HCF of two numbers 1651, 2032 we get 127.

So, if we divide 1657 and 2037 by 127 we will get remainders 6 and 5 respectively.

Qus : 91

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

1
2
3
4
Go to Discussion

Solution

Range of 2's complement

$-2^{n-1}$ to

$2^{n-1}+1$

Range for 16 bits =

$-2^{16-1}$ to

$2^{16-1}+1$

Range for 16 bits =

$-2^{15}$ to

$2^{25}+1$

Range for 16 bits =

$-32768$ to

$32767$

Qus : 92

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

$AB+A\, \overline{B}C+A\, \overline{B}\, \overline{C}$

1
2
3
4
Go to Discussion

Solution

$AB+A\, \overline{B}C+A\, \overline{B}\, \overline{C}$

$AB+AB'C+AB'C'$

$AB+AB'(C+C')$

$AB+AB'$

$A(B+B')$

Qus : 93

Which of the following is equivalent to the Boolean expression:

$(X+Y).(X+\overline{Y}).(\overline{X}+Y)$

1
2
3
4
Go to Discussion

Solution

$(X+Y).(X+\overline{Y}).(\overline{X}+Y)$

$(X+Y)(X+Y')(X'+Y)$

$(XX+XY+YX+YY')(X'+Y)$

$(X+XY)(X'+Y)$

$X(1+Y)(X'+Y)$

$X(X'+Y)$

$XX'+XY$

$XY$

Qus : 94

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

1
2
3
4
Go to Discussion

Solution

n bits binary number required d -decimal digits.

So,

${10}^d{\gt}{2}^n$

Take on both side

$\log _{10}({10}^d)\gt{\log _{10}({2}^n)}^{}$

$d{\gt}n\log _{10}(2)$

Qus : 95

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

1
2
3
4
Go to Discussion

Solution

we know that Frequency is defined as the number of cycles in one second

Number of cycle in 1 sec = 2500 million

=> Frequency = 2500 Mhz

we know that time period is the inverse of frequency and is defined as the time taken by one cycle.

$T = \frac{1}{F}$

$T = \frac{1}{2500 \times 10^{-6}}$

$T=4 \times 10^{-10}$ sec

Qus : 96

Write the simplified form of the Boolean expression

(A+C)(AD+AD')+AC+C

1
2
3
4
Go to Discussion

Solution

(A+C)(AD+AD')+AC+C

=(A+C)A(D+D')+C(A+1)

=(A+C)+C

=A+C

Qus : 97

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

1
2
3
4
Go to Discussion

Solution

The Hexadecimal digits are 0-9 and A-F. The Hexadecimal system represents numbers in16 symbols, zero to nine and ten to fifteen is represented by the English alphabet A-F.

The Hexadecimal character represents 4 bits.

The last memory location in a memory of size 64K is FFFF.

64K is

$2^{16}$ bytes, i.e.

$16^4$ bytes = 1000 bytes in hexadecimal code.

The last accessible address is 1000-1 = FFFF.

Qus : 98

‘Floating point representation' is used to represent

1
2
3
4
Go to Discussion

Solution

Qus : 99

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

1
2
3
4
Go to Discussion

Solution

$\begin{array}{ll}{A(B+\overline{B})+C(A+\overline{A})} \\ {A+C}\, \end{array}$

Qus : 100

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):

1
2
3
4
Go to Discussion

Solution

Output is high if any of the input is low. The truth table for NAND gate is:

A	B	Output
0	0	0
0	1	1
1	0	1
1	1	1

Table representing NAND Gate.

Qus : 101

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

1
2
3
4
Go to Discussion

Solution

Qus : 102

“Bite the bullet” means

1
2
3
4
Go to Discussion

Solution

Qus : 103

Fill in the banks with the correct option

Technical writing demands ______ use of language

1
2
3
4
Go to Discussion

Solution

Qus : 104

Select correct articles

He is….M.A. with PhD and teaches in …university.

1
2
3
4
Go to Discussion

Solution

Qus : 105

Fill in the blank with the most appropriate option

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

1
2
3
4
Go to Discussion

Solution

Qus : 106

Select the correct form of verb/ Subject-verb agreement

The principal, along with his assistants, ___________ the meeting.

1
2
3
4
Go to Discussion

Solution

Qus : 107

Choose the correct alternative

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

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

1
2
3
4
Go to Discussion

Solution

Qus : 108

Read the following passage carefully and answer the questions:

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 year, in VR as in all fields of technology, we’re going to see things that make what is cutting-edge today look like space lnvaders. 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 user’s sense (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 facilities – 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 (Al) will provide us with more personalized virtual worlds to explore, even giving us realistic virtual characters to share our experiences

with.

The passage states all the following about VR applications except

1
2
3
4
Go to Discussion

Solution

Qus : 109

Read the following passage carefully and answer the questions:

with.

‘Duck out of something’ means

1
2
3
4
Go to Discussion

Solution

Qus : 110

Select an antonym for the word ‘augment’ from the options given below:

1
2
3
4
Go to Discussion

Solution

Qus : 111

Select the word which means the same as the following:

To read something carefully

1
2
3
4
Go to Discussion

Solution

Qus : 112

Choose the correct alternative with the correct choice

given below each statement:

You are to conform ______________ the rules of the institute.

1
2
3
4
Go to Discussion

Solution

Qus : 113

Choose the antonym:

BOLD

1
2
3
4
Go to Discussion

Solution

Qus : 114

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

He said, “I am glad to be here this evening.”

1
2
3
4
Go to Discussion

Solution

Qus : 115

Identify the word that is similar in meaning to the

underlined word.

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

1
2
3
4
Go to Discussion

Solution

Qus : 116

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

He is addicted to smoke.

1
2
3
4
Go to Discussion

Solution

Qus : 117

Fill in the blanks with the correct preposition

Jagdish is waiting for me_____ the campus.

1
2
3
4
Go to Discussion

Solution

Qus : 118

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

1
2
3
4
Go to Discussion

Solution

Qus : 119

Choose the synonym

LIBERAL

1
2
3
4
Go to Discussion

Solution

Qus : 120

Fill in the blank

Neither Peter nor I ________ responsible for this blunder.

1
2
3
4
Go to Discussion

Solution

Phrases

Online Test Series,
Information About Examination,
Syllabus, Notification
and More.

Click Here to
View More

Phrases

Online Test Series,
Information About Examination,
Syllabus, Notification
and More.

Click Here to
View More

Ask Your Question or Put Your Review.

Feedback

Info.

Information

Aspire's Library

Phrases Previous Year Questions (PYQs)

Phrases 2022 PYQ

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution