Phrases 2023 Previous Year Question Paper and Solution with PDF

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Phrases Previous Year Questions (PYQs)

Phrases 2023 PYQ

Qus : 1Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 2Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 3Phrases PYQ 2023

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

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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

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Qus : 4Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 5Phrases PYQ 2023

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

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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 6Phrases PYQ 2023

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

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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 7Phrases PYQ 2023

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

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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 8Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 9Phrases PYQ 2023

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

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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 10Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 11Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 12Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 13Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 14Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 15Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 16Phrases PYQ 2023

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

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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 17Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 18Phrases PYQ 2023

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

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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 19Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 20Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 21Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 22Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 23Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 24Phrases PYQ 2023

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

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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 25Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 26Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 27Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 28Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 29Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 30Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 31Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 32Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 33Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 34Phrases PYQ 2023

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

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

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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 35Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 36Phrases 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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Phrases Previous Year PYQPhrases 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 : 37Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 38Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 39Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 40Phrases PYQ 2023

Book: Publisher :: Film: ?

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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 41Phrases PYQ 2023

Identify the next two numbers in the following sequence:

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

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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 42Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 43Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 44Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 45Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 46Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 47Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 48Phrases PYQ 2023

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

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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 49Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 50Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 51Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 52Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 53Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 54Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 55Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 56Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 57Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 58Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 59Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 60Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 61Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 62Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 63Phrases PYQ 2023

Complete the series:

3,10,24,45,73, ____

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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 64Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 65Phrases PYQ 2023

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

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Solution

Qus : 66Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 67Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 68Phrases 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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Solution

Qus : 69Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 70Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 71Phrases 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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Solution

Qus : 72Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 73Phrases PYQ 2023

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

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Solution

Qus : 74Phrases PYQ 2023

Which of the following is true about Von Neumann architecture?

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Solution

Qus : 75Phrases PYQ 2023

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

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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 76Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 77Phrases 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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Qus : 78Phrases PYQ 2023

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

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Qus : 79Phrases 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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Qus : 80Phrases 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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Qus : 81Phrases 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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Qus : 82Phrases 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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Qus : 83Phrases PYQ 2023

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

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Qus : 84Phrases 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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Qus : 85Phrases PYQ 2023

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

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Qus : 86Phrases 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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Qus : 87Phrases 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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Qus : 88Phrases PYQ 2023

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

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Qus : 89Phrases PYQ 2023

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

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Qus : 90Phrases PYQ 2023

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

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Qus : 91Phrases PYQ 2023

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

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Qus : 92Phrases PYQ 2023

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

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Qus : 93Phrases 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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Qus : 94Phrases 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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Qus : 95Phrases PYQ 2023

Synonym for "Nonplussed" is:

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Qus : 96Phrases PYQ 2023

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

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Qus : 97Phrases 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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Qus : 98Phrases PYQ 2023

Meaning of "Abrogate" is

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Qus : 99Phrases 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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Qus : 100Phrases PYQ 2023

Antonym for "Spendthrift" is:

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Qus : 101Phrases 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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Qus : 102Phrases 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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Qus : 103Phrases 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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Qus : 104Phrases 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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Qus : 105Phrases 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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Qus : 106Phrases 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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Qus : 107Phrases 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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Qus : 108Phrases 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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Qus : 109Phrases 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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Qus : 110Phrases 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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Qus : 111Phrases PYQ 2023

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

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Qus : 112Phrases 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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Qus : 113Phrases 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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Qus : 114Phrases 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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Qus : 115Phrases 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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Qus : 116Phrases 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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Qus : 117Phrases 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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Qus : 118Phrases 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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Qus : 119Phrases PYQ 2023

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

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Qus : 120Phrases 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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