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NIMCET Previous Year Questions (PYQs)

NIMCET 2022 PYQ

NIMCET PYQ 2022
Inverse of the function $f(x)=\frac{10^x-10^{-x}}{10^{x}+10^{-x}}$ is 





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NIMCET Previous Year PYQNIMCET 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 

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

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

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

NIMCET 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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NIMCET Previous Year PYQNIMCET 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.

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

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

$\Rightarrow{c}^2=ab$
NIMCET PYQ 2022
The correct expression for $cos^{-1} (-x)$ is





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

You should learn it as an important formula.
NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
The 10th and 50th percentiles of the observation 32, 49, 23, 29, 118 respectively are





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
If $a{\lt}b$ then $\int ^b_a\Bigg{(}|x-a|+|x-b|\Bigg{)}dx$ is equal to





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
The domain of the function $f(x)=\frac{{\cos }^{-1}x}{[x]}$ is





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
If $cosec\theta-\cot \theta=2$, then the value of $cosec\theta$ is





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
The solution of the equation ${4\cos }^2x+6{\sin }^2x=5$ are





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
The value of $\cot \Bigg{(}{cosec}^{-1}\frac{5}{3}+{\tan }^{-1}\frac{2}{3}\Bigg{)}$ is





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
Which of the following is NOT true?





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
$f(x)=x+|x|$ is continuous for





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
The function $f(x)=\log (x+\sqrt[]{{x}^2+1})$ is





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
The area enclosed within the curve |x|+|y|=2 is





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET 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 
$a^2-b^2=c^2-(-c^2)$
$a^2-b^2=2c^2$


NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
Coordinate of the focus of the parabola $4y^2+12x-20y+67=0$ is





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
If $x^my^n$=$(x+y)^{m+n}$, then $\frac{dy}{dx}$ is





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
The value of ${3}^{3-\log _35}$ is





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
If $(\vec{a} \times \vec{b}) \times \vec{c}= \vec{a} \times (\vec{b} \times \vec{c})$, then





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
Today is Wednesday. What would be the day after 61 days?





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
Identify the fifth number in the series: 122, 144, 166, 188, ?





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
Which of the following is the odd one from the given alternatives?





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
Fill in the blank: 
HEC, JGE, LIG, NKI, ______





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
Choose the word opposite in meaning to the given word: MITIGATE





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
DNN, FQQ, HTT, ______, LZZ





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
In the following figure, find the total number of squares.






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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
Deepak, Rahul, Manoj, and Vinod are brothers. Who is the heaviest? 
  1. Rahul is heavier than Deepak and Vinod, but lighter than Manoj. 
  2. Deepak is lighter than Rahul and Manoj, but heavier than Vinod.





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
Which of the following diagrams correctly represents lions, elephants, and animals?





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

Lions, Elephants, and Animals
Lions and Elephants are different animals.
NIMCET PYQ 2022
Replace the question mark with an appropriate image to complete the analogous pair.






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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution


NIMCET PYQ 2022
Fill in the blank:
JAK, KBL, LCM, MDN, _____





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution


NIMCET PYQ 2022
Find the synonym that is most nearly similar in meaning to the word:
DEBACLE





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution


NIMCET PYQ 2022
If in a certain language, KOLKOTA is coded as LPMLPUB, how is MUMBAI coded in that
code?





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution


NIMCET PYQ 2022
Select the related word from the given alternatives.
MELT : LIQUID : : FREEZE : ?





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution


NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution


NIMCET PYQ 2022
Identify the sixth number in the series:
6, 11, 21, 36, 56, ?





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution


NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution


NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution


NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
Find out the wrong number in the FOLLOWING series.
2, 5, 10, 17, 26, 38, 50, 65





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
Find out the wrong number in the FOLLOWING series.
30, −5, −45, −90, −145, −195, −255





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

Let the required number of bottles be x.

More machines, More bottles (Direct Proportion)

More minutes, More bottles (Direct Proportion)

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

∴$6×1×x=10×4×270$ 

⇒$x= \frac{(10×4×270)}{6}$

​⇒$x=1800$
NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

$\theta=30H-5.5M$
0=30*3-5.5M
M=$\frac{90}{5.5}$
M=$\frac{180}{11}$
M=$16 \frac{4}{11}$
NIMCET 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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NIMCET Previous Year PYQNIMCET 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.
NIMCET 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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NIMCET Previous Year PYQNIMCET 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
NIMCET PYQ 2022
The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively is





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NIMCET Previous Year PYQNIMCET 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.
NIMCET PYQ 2022
The maximum and minimum value represented in signed 16 bit 2's complement representations are





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NIMCET Previous Year PYQNIMCET 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 $32767$
NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

$AB+A\, \overline{B}C+A\, \overline{B}\, \overline{C}$
=$AB+AB'C+AB'C'$
=$AB+AB'(C+C')$
=$AB+AB'$
=$A(B+B')$
=A

NIMCET PYQ 2022
Which of the following is equivalent to the Boolean expression: 
$(X+Y).(X+\overline{Y}).(\overline{X}+Y)$





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

$(X+Y).(X+\overline{Y}).(\overline{X}+Y)$
=$(X+Y)(X+Y')(X'+Y)$
=$(XX+XY+YX+YY')(X'+Y)$
=$(X+XY)(X'+Y)$
=$X(1+Y)(X'+Y)$
=$X(X'+Y)$
=$XX'+XY$
=$XY$
NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

n bits binary number required d -decimal digits.

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

Take on both side 

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

$d{\gt}n\log _{10}(2)$
NIMCET PYQ 2022
If a processor clock is rated as 2500 million cycles per second, then its clock period is:





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NIMCET Previous Year PYQNIMCET 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


NIMCET PYQ 2022
Write the simplified form of the Boolean expression
(A+C)(AD+AD')+AC+C





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

(A+C)(AD+AD')+AC+C
=(A+C)A(D+D')+C(A+1)
=(A+C)+C
=A+C
NIMCET PYQ 2022
FFFF will be the last memory location in a memory of size





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NIMCET Previous Year PYQNIMCET 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.
NIMCET PYQ 2022
‘Floating point representation' is used to represent





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Solution

NIMCET PYQ 2022
The Boolean expression AB+ AB' + A'C + AC is unaffected by the value of the Boolean variable





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Solution

$\begin{array}{ll}{A(B+\overline{B})+C(A+\overline{A})} \\ {A+C}\, \end{array}$
NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

Output is high if any of the input is low. The truth table for NAND gate is:
 AB Output 
 00  0
 0 1 1
 1 0 1
 1 1 1
Table representing NAND Gate.
NIMCET PYQ 2022
What can you call a person who leads an unconventional style of living?





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
“Bite the bullet” means





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
Fill in the banks with the correct option
Technical writing demands ______ use of language





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
Select correct articles
He is….M.A. with PhD and teaches in …university.





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
Select the correct form of verb/ Subject-verb agreement
The principal, along with his assistants, ___________ the meeting.





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET 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. 
‘Duck out of something’ means





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
Select an antonym for the word ‘augment’ from the options given below:





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
Select the word which means the same as the following:

To read something carefully





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
Choose the correct alternative with the correct choice
given below each statement:

You are to conform ______________ the rules of the institute.





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
Choose the antonym:

BOLD





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
Select the one which best expresses the same sentence in indirect/direct speech:

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





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
Identify the word that is similar in meaning to the
underlined word.

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





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
Which of the phrase given below should replace the phrase printed in bold to make the sentence grammatically correct.

He is addicted to smoke.





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
Fill in the blanks with the correct preposition

Jagdish is waiting for me_____ the campus.





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
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





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
Choose the synonym
LIBERAL





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

NIMCET PYQ 2022
Fill in the blank
Neither Peter nor I ________ responsible for this blunder.





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Solution


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Amit Mourya-pic
Amit Mourya , Student
Commented Jun 17 , 2023
solution ....

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Ajay sharma-pic
Ajay sharma , Fully verified
Commented May 03 , 2023
solutions de do

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