NIMCET 2023 Previous Year Question Paper and Solution with PDF

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NIMCET Previous Year Questions (PYQs)

NIMCET 2023 PYQ

Qus : 1NIMCET PYQ 2023

If $\vec{a}=\hat{i}-\hat{k}$, $\vec{b}=x\hat{i}+\hat{j}+(1-x)\hat{k}$ and $\vec{c}=y\hat{i}+x\hat{j}+(1+x-y)\hat{k}$, then $\begin{bmatrix}{\vec{a}} & {\vec{b}} & {\vec{c}}\end{bmatrix}$ depends on

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 2NIMCET PYQ 2023

If $\vec{a}, \vec{b}$ are unit vectors such that $2\vec{a}+\vec{b} =3$ then which of the following statement is true?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 3NIMCET PYQ 2023

$\int f(x)\mathrm{d}x=g(x)$, then $\int {x}^5f({x}^3)\mathrm{d}x$

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 4NIMCET PYQ 2023

$\lim _{{x}\rightarrow1}\frac{{x}^4-1}{x-1}=\lim _{{x}\rightarrow k}\frac{{x}^3-{k}^2}{{x}^2-{k}^2}=$, then find k

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 5NIMCET PYQ 2023

The graph of function $f(x)=\log _e({x}^3+\sqrt[]{{x}^6+1})$ is symmetric about:

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 6NIMCET PYQ 2023

If the equation $|x^2 – 6x + 8| = a$ has four real solution then find the value of $a$?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 7NIMCET PYQ 2023

Largest value of $cos^2\theta -6sin\theta cos\theta+3sin^2\theta+2 $ is

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 8NIMCET PYQ 2023

Given to events A and B such that odd in favour A are 2 : 1 and odd in favour of $A \cup B$ are 3 : 1. Consistent with this information the smallest and largest value for the probability of event B are given by

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 9NIMCET PYQ 2023

If A and B are square matrices such that $B=-A^{-1} BA$, then $(A + B)^2$ is

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 10NIMCET PYQ 2023

A bag contain different kind of balls in which 5 yellow, 4 black & 3 green balls. If 3 balls are drawn at random then find the probability that no black ball is chosen

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 11NIMCET PYQ 2023

Between any two real roots of the equation $e^x sin x = 1$, the equation $e^x cos x = –1$ has

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 12NIMCET PYQ 2023

If f(x) is a polynomial of degree 4, f(n) = n + 1 & f(0) = 25, then find f(5) = ?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 13NIMCET PYQ 2023

The maximum value of $f(x) = (x – 1)^2 (x + 1)^3$ is equal to $\frac{2^p3^q}{3125}$ then the ordered pair of (p, q) will be

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 14NIMCET PYQ 2023

The coefficient of $x^{50}$ in the expression of ${(1 + x)^{1000} + 2x(1 + x)^{999} + 3x^2(1 + x)^{998} + ...... + 1001x^{1000}}$

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 15NIMCET PYQ 2023

If ${{x}}_k=\cos \Bigg{(}\frac{2\pi k}{n}\Bigg{)}+i\sin \Bigg{(}\frac{2\pi k}{n}\Bigg{)}$ , then $\sum ^n_{k=1}({{x}}_k)=?$

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 16NIMCET PYQ 2023

Number of point of which f(x) is not differentiable $f(x)=|cosx|+3$ in $[-\pi, \pi]$

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 17NIMCET PYQ 2023

If $n_1$ and $n_2$ are the number of real valued solutions $x = | sin^{–1} x |$ & $x = sin (x)$ respectively, then the value of $n_2– n_1$ is

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 18NIMCET PYQ 2023

The negation of $\sim S\vee(\sim R\wedge S)$ is equivalent to

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 19NIMCET PYQ 2023

A point P in the first quadrant, lies on $y^2 = 4ax$, a > 0, and keeps a distance of 5a units from its focus. Which of the following points lies on the locus of P?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 20NIMCET PYQ 2023

If $\int x\, \sin x\, sec^3x\, dx=\frac{1}{2}\Bigg{[}f(x){se}c^2x+g(x)\Bigg{(}\frac{\tan x}{x}\Bigg{)}\Bigg{]}+C$, then which of the following is true?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 21NIMCET PYQ 2023

Let a, b, c, d be no zero numbers. If the point of intersection of the line 4ax + 2ay + c = 0 & 5bx + 2by + d=0 lies in the fourth quadrant and is equidistance from the two are then

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 22NIMCET PYQ 2023

$\theta={\cos }^{-1}\Bigg{(}\frac{3}{\sqrt[]{10}}\Bigg{)}$ is the angle between $\vec{a}=\hat{i}-2x\hat{j}+2y\hat{k}$ & $\vec{b}=x\hat{i}+\hat{j}+y\hat{k}$ then possible values of (x,y) that lie on the locus

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 23NIMCET PYQ 2023

Let R be reflexive relation on the finite set a having 10 elements and if m is the number of ordered pair in R, then

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 24NIMCET PYQ 2023

If $| x - 6|= | x - 4x | -| x^2- 5x +6 |$ , where x is a real variable

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 25NIMCET PYQ 2023

The range of values of $\theta$ in the interval $(0,\pi)$ such that the points (3, 2) and $(cos\theta ,sin\theta)$ lie on the samesides of the line x + y – 1 = 0, is

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 26NIMCET PYQ 2023

Which of the following number is the coefficient of $x^{100}$ in the expansion of $\log _e\Bigg{(}\frac{1+x}{1+{x}^2}\Bigg{)},\, |x|{\lt}1$ ?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 27NIMCET PYQ 2023

A real valued function f is defined as $f(x)=\begin{cases}{-1} & {-2\leq x\leq0} \\ {x-1} & {0\leq x\leq2}\end{cases}$. Which of the following statement is FALSE?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 28NIMCET PYQ 2023

A line segment AB of length 10 meters is passing through the foot of the perpendicular of a pillar, which is standing at right angle to the ground. Top of the pillar subtends angles $tan^{–1}$ 3 and $tan^{–1} 2$ at A and B respectively. Which of the following choice represents the height of the pillar?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 29NIMCET PYQ 2023

If a vector having magnitude of 5 units, makes equal angle with each of the three mutually perpendicular axes,then the sum of the magnitude of the projections on each of the axis is

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 30NIMCET PYQ 2023

Bag I contains 3 red, 4 black and 3 white balls and Bag II contains 2 red, 5 black and 2 white balls. One ballsis transferred from Bag I to Bag II and then a ball is drawn from Bag II. The ball so drawn is found to be black in colour. Then the probability, that the transferred is red, is:

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 31NIMCET PYQ 2023

Let $f(x)=\frac{x^2-1}{|x|-1}$. Then the value of $lim_{x\to-1} f(x)$ is

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 32NIMCET PYQ 2023

If yellow is called white, white is called black, black is called green, green is called pink, pink is called blue and blue is called water, what is the colour of sky?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 33NIMCET PYQ 2023

P, Q, R, S, T, U, V, W are sitting around a round table in the same order, for group discussion at equal distances. Their positions are clockwise. If V sits in the north, then what will be the position of S?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 34NIMCET PYQ 2023

Find a number from the given options which best completes the series:

39, 416, 525,…......................., 749, 864

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 35NIMCET PYQ 2023

In the half yearly exam only 60% of the students were passed. Out of these (passed in half-yearly) only 70% students are passed in annual exam, out of remaining students (who fail in half-yearly exam) 80% passed in annual exam. What percent of the students passed the annual exam?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 36NIMCET PYQ 2023

Fill the blanks with the most appropriate combination of options.

Further, to augment bond market liquidity, corporates need to be encouraged to_____________ exiting bonds under the same International Securities Identification Number, to duly shore up floating _____________.

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

The words "exiting bonds" after the first blank indicates that the blank is a word that conveys that these bonds need to re-enter the market. Hence 'reissue stocks' fit the blanks best.

Qus : 37NIMCET PYQ 2023

Statements:

Most teachers are boys.

Some boys are students.

Conclusion:

I. Some students are boys.

II. Some teachers are students.

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 38NIMCET PYQ 2023

Thirty-six vehicles are parked in a parking lot in a single row. After the first car, there is one scooter. After the second car, there are two scooters. After the third car, there are three scooters and so on. Work out the number of scooters in the second half row.

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 39NIMCET PYQ 2023

How many meaningful words can be formed with the first, the third, the seventh, and the ninth letters of the word SEPARATION using each letter only once in each word?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 40NIMCET PYQ 2023

Book: Publisher :: Film: ?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 41NIMCET PYQ 2023

Identify the next two numbers in the following sequence:

17, 20, 9, 12, 5, 6, 3, 2, ____, ____

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 42NIMCET PYQ 2023

Arrange the words given below in a meaningful sequence.

(1) Database (2) Analysis (3) Survey (4) Policy formulation (5) Interpretation

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 43NIMCET PYQ 2023

In a reality show, two judges independently provided marks based on the performance of the participants. If the marks provided by the second judge are given by y= 1+ x, where x is the marks provided by the first judge. Then for a participant

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 44NIMCET PYQ 2023

On Monday, Akash ran 4 km less than the distance he ran on Tuesday. Sanjay, who ran the same distance on Monday and Tuesday, ran 5 km more on Tuesday than the distance Akash ran on Monday. Find the difference between the distances covered by Akash and Sanjay over the two days.

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 45NIMCET PYQ 2023

Two friends A and B were standing at the diagonally opposite corners of a rectangular plot whose perimeter is 100m. A first walked x meters along the length of the plot towards East and then y meters towards the South. B walked x meters along the breadth towards North and then y meters towards West. At the end of their walks, A and B were standing at the diagonally opposite corners of a smaller rectangular plot whose perimeter is 40m. How much distance did A walk?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 46NIMCET PYQ 2023

A vessel contains total 95 litre mixture of milk & water in the ratio of 15 : 4 respectively. P litre of mixture taken out from the vessel and 18 litres water added in the remaining mixture, then the new ratio of milk to water becomes 3 : 2, find the value of P?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 47NIMCET PYQ 2023

If ‘E’ stands for ‘+’, 'F' stands for '-' ,'M' stands for '×' , 'N' stands for '÷' , then

19 M 5 E 39 N 3 F 8 = ?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 48NIMCET PYQ 2023

Which word among the following words can be formed from the letters of "RECOMMENDATION"?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 49NIMCET PYQ 2023

Ritu purchased 20 dozen of bananas at the rate of Rs. 375 per dozen. she sold each one of them at the rate of Rs. 33. What was her profit percentage?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 50NIMCET PYQ 2023

Hemant deposits 10% of his salary in PF. He saves 30% of the remaining salary. The ratio of his expense on medicine and groceries is 3:4 of the remaining salary after saving. If his expense on the medicine was Rs. 2700, then find his monthly salary.

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 51NIMCET PYQ 2023

If the word IMPACT is coded as RNKZXG, then which of the following represents the code for the word DESCEND?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 52NIMCET PYQ 2023

If 3 is subtracted from the middle digit of each of the following numbers and then the position of the digits are reversed, which of the following will be the last digit of the middle number after they are arranged in descending order?

589 362 554 371 442

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 53NIMCET PYQ 2023

A can do a work in 10 days, B can do the same work in 20 days. After working for 4 days B left the job & C started working at the place of B, the remaining work was done by both A & C in 2 days. In how many days C alone can do the work?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 54NIMCET PYQ 2023

Rajdhani Train running at a speed of 54 km/hr crosses a platform of length same as that of the train in 36 sec. If a Duronto train, which is 230 meters long crosses the same platform in 25 sec, then find speed of Duronto train (in km/hr)?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 55NIMCET PYQ 2023

If 20 -10 means 200, 8 ÷ 4 means 12, 6×2 means 4, then

100 -10 ×1000 ÷1000 +100×10 =?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 56NIMCET PYQ 2023

Rakesh says to Mahesh, “I am as old as you were when I was one-third as old as you are.” If the sum of their ages is 60 years, find the present age of Mahesh (in years).

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 57NIMCET PYQ 2023

A circle touches the x–axis and also touches the circle with centre (0, 3) and radius 2. The locus of the centre of the circle is

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 58NIMCET PYQ 2023

A sum of money distributed among four persons P, Q, R, S in the proportion 2:5:4:3. if Q gets Rs. 2000 more than S, then what will be the total amount?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 59NIMCET PYQ 2023

A junior school is offering five after-school activities – Karate, Handwork, Music, Dance, and Gymnastics. Each of the five students – Leena, Megan, Neha, Omar, and Pixie, has subscribed to at least one activity. As per the school rules, anyone who subscribes to Gymnastics must also subscribe to Dance. Karate and Handwork must always be subscribed together. Music and Dance cannot be subscribed together.

The following information is available about the students’ subscriptions.

Megan subscribed to four activities.
Leena subscribed to Gymnastics but not Karate.
Pixie subscribed to only one activity and is the only one to subscribe to that activity.
Omar subscribed to three activities.
Neha subscribed to only one activity.

How many activities are subscribed by exactly two people each?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 60NIMCET PYQ 2023

Three persons A, B and C are standing in a queue. There are five persons between A and B and eight persons between B and C. If there are three persons ahead of C and 21 behind A, then what could be the minimum number of persons in the queue?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 61NIMCET PYQ 2023

Deepa moved a distance of 75 metres towards the north. She then turned to the left and after walking for about 25 metres, turned left again and walked 80 metres. Finally, she turned to the right at an angle of 45°. In which direction was she moving finally?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 62NIMCET PYQ 2023

In the given word "LAVISHLY" if all the consonants replaced with its previous letter and all the vowels replaced with its next letter after that remove all the repeated letter and arranged them in alphabetical order then, which of the following letters is 3rd from the left end?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 63NIMCET PYQ 2023

Complete the series:

3,10,24,45,73, ____

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 64NIMCET PYQ 2023

A 30 litres mixture of milk and water contains 10% water. How much milk should be added so that the percentage of water in the mixture comes down to 2%?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 65NIMCET PYQ 2023

In a certain language, DENMARK is coded as FCPKCPM. Find the code of SINGAPORE

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 66NIMCET PYQ 2023

Shweta, Yamini, Pooja, and Rakhi are sisters. Yamini is older than at least two of her sisters. Pooja is younger than Rakhi, who is not the oldest. Shweta is older than Pooja but younger than Rakhi. Who is the oldest among them?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 67NIMCET PYQ 2023

Hari invested an amount at a certain rate of interest on simple interest and he got 60% more amount after eight years. If he invests Rs. 9600 at the same rate of interest on simple interest, then find the total interest he would get after four years?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 68NIMCET PYQ 2023

Study the diagram and answer the question that follows.

How many players are there who are girls but not a coach.

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 69NIMCET PYQ 2023

For security reasons, a bank manager decided to encrypt the account number in the server. If A/C No. 46873 is coded as 91317157, then 52191 is coded as

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 70NIMCET PYQ 2023

Pointing towards a person in the photograph, Anjali said, “He is the only son of thefather of my sister’s brother.” How is that person related to Anjali?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 71NIMCET PYQ 2023

A university is offering elective courses in Mathematics, Economics and Sociology. Each of its 100 undergraduate students has to opt for at least one of these electives. Course enrollment data showed that 47 students enrolled for Mathematics, 47 students enrolled for Economics and 57 students enrolled for Sociology. If 7 students enrolled for all three courses, how many students enrolled for exactly one course?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 72NIMCET PYQ 2023

Statement

No table is chair

Not a single chair is stand

Every stand is statue

Conclusion

1. Some statue which are stand are table as well

2. Some statue are not chair

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 73NIMCET PYQ 2023

The maximum and minimum value represented in signed 16-bit 2s compliment representation are

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 74NIMCET PYQ 2023

Which of the following is true about Von Neumann architecture?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 75NIMCET PYQ 2023

Equivalent of the decimal number (25.375)10 in binary form

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 76NIMCET PYQ 2023

Consider the following minterm for F:F(P, Q, R, S) = Σ0, 2, 5, 7, 8, 10, 13, 15. The minterms 2, 7, 8, and 13 are don't care terms. The minimal sum of products form for F is

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 77NIMCET PYQ 2023

Suppose we have a 10-bit computer that uses 10-bit int (2's complement representation). the number representation of - 35 is

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 78NIMCET PYQ 2023

A wrong sentence related to FAT 32 and NTFS file systems is

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 79NIMCET PYQ 2023

A bulb in the staircase has two switches, one switch is at the ground floor and the other one is at the first floor. The bulb can be turned ON and also can be turned OFF by any of the switches irrespective of the state of the other switch. The logic of the switching of the bulb resembles

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 80NIMCET PYQ 2023

Suppose we have a 10-bit computer that uses 10-bit floating point computational unit (Float number uses IEEE floating-point arithmetic where a floating point number has 1 sign bit, 5 exponent bits, and 4 fraction bits). The representation for +∞ (plus infinity) is

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 81NIMCET PYQ 2023

Cosider the following Boolean Expression for F:

$F(P,Q,R,S)=PQ+\overline{P}QR+\overline{P}Q\overline{R}S$ .

The minimum sum of products form of F is

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 82NIMCET PYQ 2023

What is the name of the storage device that compensates the difference in rates of flow of data from one device to another?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 83NIMCET PYQ 2023

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

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 84NIMCET PYQ 2023

A CPU generates 32-bit virtual addresses. The page size is 4 KB. The processor has a translation look-aside buffer (TLB) which can hold a total of 128 page table entries and is 4 -way set associative. The minimum size of the TLB tag is:

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 85NIMCET PYQ 2023

The number of minterms in a $n$ variable truth tableis

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 86NIMCET PYQ 2023

Let $\oplus$ and $\odot$ denote the Exclusive - OR and Exclusive-NOR operations respectively. Which of the following is not correct?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 87NIMCET PYQ 2023

Which of the following registers is used to keep track of address of the memory location where the next instruction is located?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 88NIMCET PYQ 2023

The time required for fetching and execution of one machine instruction is:

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 89NIMCET PYQ 2023

Consider the circuit shown below and find minimum number of NAND gates required to design it.

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 90NIMCET PYQ 2023

How many 32K $\times$ 1 RAM chips are needed to provide a memory capacity of 256K bytes?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 91NIMCET PYQ 2023

What is a potential problem of 1’s complement representation of numbers?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 92NIMCET PYQ 2023

The reduced form of the Boolean function $F=xyz+xyz^{\prime}^{}+x^{\prime}yz+xy^{\prime}z$ is

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 93NIMCET PYQ 2023

Read the following passage carefully and answer the questions:

Science and religion - the two terms have come to signify a mutual antagonism. The two, it is commonly declared, are poles apart; their spheres of activity and their methods differ widely, so much so that they are considered to be irreconcilable.

On the face of it, science and religion appear to be the two opposite poles of man's consciousness. Science is basically concerned with the material world; its efforts are directed towards unravelling the "how" of reality while religion is concerned with the "why" of reality. Science deals with analysing tangible entities into its minutest parts, and then arrives at conclusions about the way in which tangible realities are organized. While science is analytical, religion takes the ultimate reality for granted. Religion follows the metaphysical path; the concept of God is ultimately a matter of faith and it is this faith which is the basis of the religious man's attribution of a design or meaning for the reality.

The modes of action are different in science and religion. Science relies on experiment, whereas religion is based on experience. Science benefits mankind by providing material comforts. The frontiers of science do not end in knowledge but are extended to the formation of appliances for actual use. Science, it has been somewhat unfairly charged, cultivates the materialistic thinking. However, it has to be admitted that the mental attitude promoted by religion is entirely different. While the basis of scientific progress is unbridled curiosity and courageous endeavour, the truly religious spirit cavils at such presumption that man's mind can penetrate the mysteries of the universe. Science promotes fearless inquiry, while an essential ingredient of religion is the humility born of fear of God. Science incorporates a love of experimental knowledge, while religion does not believe in the rational approach.

Which of the following statements according to the passage is correct:

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 94NIMCET PYQ 2023

Read the following passage carefully and answer the questions:

Which of the following reasons according to the passage provide material comforts to people in case of science?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 95NIMCET PYQ 2023

Synonym for "Nonplussed" is:

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 96NIMCET PYQ 2023

I have _____ umbrella. I bought it _____ year ago.

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 97NIMCET PYQ 2023

Select the most appropriate meaning of the underlined ideom in the given sentence.
Off and on, I take a break from my hectic schedule to refresh myself.

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 98NIMCET PYQ 2023

Meaning of "Abrogate" is

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 99NIMCET PYQ 2023

Choose the best option that indicates the change of voice for the sentence given below:

They sent for a doctor because Pamela had fainted

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 100NIMCET PYQ 2023

Antonym for "Spendthrift" is:

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 101NIMCET PYQ 2023

Select the most appropriate preposition to fill in the blank.

A baby sitter is someone who looks ______ other people’s children.

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 102NIMCET PYQ 2023

Select the most appropriate preposition to fill in the blank.

We haven’t been to Delhi _____ almost five years.

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 103NIMCET PYQ 2023

A computer producing factory has only two plants $T_1$ and $T_2$. Plant $T_1$ produces 20% and plant $T_2$ produces 80% of total computers produced. 7% of computers produced in the factory turn out to be defective. It is known that P (computer turns out to be defective given that it is produced in plant $T_1$) = 10P (computer turns out to be defective given that it is produced in plant $T_2$). where P(E) denotes the probability of an event E. A computer produced in the factory is randomly selected and it does not turn out to be defective. Then the probability that it is produced in plant $T_2$ is

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 104NIMCET PYQ 2023

The mean of 5 observation is 5 and their variance is 124. If three of the observations are 1,2 and 6; then the mean deviation from the mean of the data is:

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 105NIMCET PYQ 2023

The perimeter of a $\Delta ABC$ is 6 times the arithmetic mean of the sines of its angles. If the side a is 1, then the angle A is

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 106NIMCET PYQ 2023

In an examination of nine papers, a candidate has to pass in more papers than the number of papers in which he fails in order to be successful. The number of ways in which he can be unsuccessful is

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 107NIMCET PYQ 2023

For a group of 100 candidates, the mean and standard deviation of scores were found to be 40 and 15 respectively. Later on, it was found that the scores 25 and 35 were misread as 52 and 53 respectively. Then the corrected mean and standard deviation corresponding to the corrected figures are

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 108NIMCET PYQ 2023

Consider the following frequency distribution table.

Class interval	10-20	20-30	30-40	40-50	50-60	60-70	70-80
Frequency	180	$f_1$	34	180	136	$f_2$	50

If the total frequency is 685 & median is 42.6 then the values of $f_1$ and $f_2$ are

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 109NIMCET PYQ 2023

The sum of infinite terms of decreasing GP is equal to the greatest value of the function $f(x) = x^3 + 3x – 9$ in the interval [–2, 3] and difference between the first two terms is f '(0). Then the common ratio of the GP is

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 110NIMCET PYQ 2023

If $f(x)=\lim _{{x}\rightarrow0}\, \frac{{6}^x-{3}^x-{2}^x+1}{\log _e9(1-\cos x)}$ is a real number then $\lim _{{x}\rightarrow0}\, f(x)$

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 111NIMCET PYQ 2023

The value of $\int ^{\pi/3}_{-\pi/3}\frac{x\sin x}{{\cos }^2x}dx$ is

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 112NIMCET PYQ 2023

The equation of the tangent at any point of curve $x=a cos2t, y=2\sqrt{2} a sint$ with $m$ as its slope is

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 113NIMCET PYQ 2023

If $\prod ^n_{i=1}\tan ({{\alpha}}_i)=1\, \forall{{\alpha}}_i\, \in\Bigg{[}0,\, \frac{\pi}{2}\Bigg{]}$ where i=1,2,3,...,n. Then maximum value of $\prod ^n_{i=1}\sin ({{\alpha}}_i)$.

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 114NIMCET PYQ 2023

A speaks truth in 60% and B speaks the truth in 50% cases. In what percentage of cases they are likely incontradict each other while narrating some incident is

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 115NIMCET PYQ 2023

If $\overrightarrow{{a}}$ and $\overrightarrow{{b}}$ are vectors in space, given by $\overrightarrow{{a}}=\frac{\hat{i}-2\hat{j}}{\sqrt[]{5}}$ and $\overrightarrow{{b}}=\frac{2\hat{i}+\hat{j}+3\hat{k}}{\sqrt[]{14}}$, then the value of$(2\vec{a} + \vec{b}).[(\vec{a} × \vec{b}) × (\vec{a} – 2\vec{b})]$ is

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 116NIMCET PYQ 2023

Let $\vec{A} = 2\hat{i} + \hat{j} – 2\hat{k}$ and $\vec{B} = \hat{i} + \hat{j}$, If $\vec{C}$ is a vector such that $|\vec{C} – \vec{A}| = 3$ and the angle between A × B and C is ${30^{\circ}}$, then $|(\vec{A} × \vec{B}) × \vec{C}|$ = 3 then the value of $\vec{A}.\vec{C}$ is equal to

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 117NIMCET PYQ 2023

Let A and B be sets. $A\cap X=B\cap X=\phi$ and $A\cup X=B\cup X$ for some set X, relation between A & B

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 118NIMCET PYQ 2023

If a, b, c, d are in HP and arithmetic mean of ab, bc, cd is 9 then which of the following number is the value ofad?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 119NIMCET PYQ 2023

Find foci of the equation $x^2 + 2x – 4y^2 + 8y – 7 = 0$

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 120NIMCET PYQ 2023

The locus of the mid-point of all chords of the parabola $y^2 = 4x$ which are drawn through its vertex is

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

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