Phrases 2022 Previous Year Question Paper and Solution with PDF

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Phrases Previous Year Questions (PYQs)

Phrases 2022 PYQ

Qus : 1Phrases PYQ 2022

Inverse of the function $f(x)=\frac{10^x-10^{-x}}{10^{x}+10^{-x}}$ is

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

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 : 2Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

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 : 3Phrases PYQ 2022

The correct expression for $cos^{-1} (-x)$ is

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

You should learn it as an important formula.

Qus : 4Phrases PYQ 2022

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?

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 5Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 6Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 7Phrases PYQ 2022

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 $b^2$

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 8Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 9Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 10Phrases PYQ 2022

The domain of the function $f(x)=\frac{{\cos }^{-1}x}{[x]}$ is

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 11Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 12Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 13Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 14Phrases PYQ 2022

The solution of the equation ${4\cos }^2x+6{\sin }^2x=5$ are

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 15Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 16Phrases PYQ 2022

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 $\vec{b}$ =

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 17Phrases PYQ 2022

Which term of the series $\frac{\sqrt[]{5}}{3},\, \frac{\sqrt[]{5}}{4},\frac{1}{\sqrt[]{5}},\, ...$ is $\frac{\sqrt{5}}{13}$ ?

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 18Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 19Phrases PYQ 2022

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.

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 20Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 21Phrases PYQ 2022

If $0{\lt}P(A){\lt}1$ and $0{\lt}P(B){\lt}1$ and $P(A\cap B)=P(A)P(B)$, then

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 22Phrases PYQ 2022

Which of the following is NOT true?

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 23Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 24Phrases PYQ 2022

If ${{a}}_1,{{a}}_2,\ldots,{{a}}_n$ are any real numbers and $n$ is any positive integer, then

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 25Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 26Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 27Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 28Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 29Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 30Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 31Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 32Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 33Phrases PYQ 2022

If ${\Bigg{(}\frac{x}{a}\Bigg{)}}^2+{\Bigg{(}\frac{y}{b}\Bigg{)}}^2=1$, $(a{\gt}b)$ and ${x}^2-{y}^2={c}^2$ cut at right angles, then

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

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

Then

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

Similarly

If $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ 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 : 34Phrases PYQ 2022

If $\alpha , \beta$ 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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 35Phrases PYQ 2022

If $a_1, a_2, a_3,...a_n$, 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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 36Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 37Phrases PYQ 2022

In a Harmonic Progression, $p^{th}$ term is $q$ and the $q^{th}$ term is $p$. Then $pq^{th}$ term is

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 38Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 39Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 40Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 41Phrases PYQ 2022

Coordinate of the focus of the parabola $4y^2+12x-20y+67=0$ is

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 42Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 43Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 44Phrases PYQ 2022

If $x^my^n$=$(x+y)^{m+n}$, then $\frac{dy}{dx}$ is

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 45Phrases PYQ 2022

If $cos^{-1} \frac{x}{2}+cos^{-1} \frac{y}{3}=\phi$, then $9x^2-12xy cos\phi+4y^2$ is

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 46Phrases PYQ 2022

The value of ${3}^{3-\log _35}$ is

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 47Phrases PYQ 2022

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)

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 48Phrases PYQ 2022

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:

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 49Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 50Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 51Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 52Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 53Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 54Phrases PYQ 2022

Fill in the blank:

HEC, JGE, LIG, NKI, ______

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 55Phrases PYQ 2022

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

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Solution

Qus : 56Phrases PYQ 2022

DNN, FQQ, HTT, ______, LZZ

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Solution

Qus : 57Phrases PYQ 2022

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

BUTTERFLY : FREEDOM

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 58Phrases PYQ 2022

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

FRUGAL : EXTRAVAGANT

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Solution

Qus : 59Phrases PYQ 2022

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

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Solution

Qus : 60Phrases PYQ 2022

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.

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Solution

Qus : 61Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Lions, Elephants, and Animals

Lions and Elephants are different animals.

Qus : 62Phrases PYQ 2022

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

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Solution

Qus : 63Phrases PYQ 2022

Fill in the blank:

JAK, KBL, LCM, MDN, _____

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Solution

Qus : 64Phrases PYQ 2022

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

DEBACLE

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Solution

Qus : 65Phrases PYQ 2022

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

code?

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Solution

Qus : 66Phrases PYQ 2022

Select the related word from the given alternatives.

MELT : LIQUID : : FREEZE : ?

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Solution

Qus : 67Phrases PYQ 2022

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?

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Solution

Qus : 68Phrases PYQ 2022

Identify the sixth number in the series:

6, 11, 21, 36, 56, ?

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Solution

Qus : 69Phrases PYQ 2022

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?

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 70Phrases PYQ 2022

Statements:

No women teacher can play.

Some women teachers are athletes.

Conclusions:

I. Male athletes can play.

II. Some athletes can play.

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 71Phrases PYQ 2022

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.

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Solution

Qus : 72Phrases PYQ 2022

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.

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Solution

Qus : 73Phrases PYQ 2022

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?

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 74Phrases PYQ 2022

Find out the wrong number in the FOLLOWING series.

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

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Solution

Qus : 75Phrases PYQ 2022

Find out the wrong number in the FOLLOWING series.

30, −5, −45, −90, −145, −195, −255

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Solution

Qus : 76Phrases PYQ 2022

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?

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 77Phrases PYQ 2022

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?

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 78Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 79Phrases PYQ 2022

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.

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 80Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 81Phrases PYQ 2022

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?

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 82Phrases PYQ 2022

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?

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 83Phrases PYQ 2022

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?

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 84Phrases PYQ 2022

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?

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 85Phrases PYQ 2022

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?

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 86Phrases PYQ 2022

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?

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

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 : 87Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

$\theta=30H-5.5M$

0=30*3-5.5M

M=$\frac{90}{5.5}$

M=$\frac{180}{11}$

M=$16 \frac{4}{11}$

Qus : 88Phrases PYQ 2022

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?

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

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 : 89Phrases PYQ 2022

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?

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

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 : 90Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

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 : 91Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

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 : 92Phrases PYQ 2022

The minimum number of NAND gates required for implementing the Boolean expression $AB+A\, \overline{B}C+A\, \overline{B}\, \overline{C}$

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

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 : 93Phrases PYQ 2022

Which of the following is equivalent to the Boolean expression:

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

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 : 94Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

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 : 95Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

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 : 96Phrases PYQ 2022

Write the simplified form of the Boolean expression

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

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

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

=(A+C)+C

=A+C

Qus : 97Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

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 : 98Phrases PYQ 2022

‘Floating point representation' is used to represent

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 99Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

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

Qus : 100Phrases PYQ 2022

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):

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

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 : 101Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 102Phrases PYQ 2022

“Bite the bullet” means

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 103Phrases PYQ 2022

Fill in the banks with the correct option

Technical writing demands ______ use of language

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 104Phrases PYQ 2022

Select correct articles

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 105Phrases PYQ 2022

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.

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 106Phrases PYQ 2022

Select the correct form of verb/ Subject-verb agreement

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 107Phrases PYQ 2022

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?

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 108Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ