NIMCET 2019 Previous Year Question Paper and Solution with PDF

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Previous Year Questions
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NIMCET Previous Year Questions (PYQs)

NIMCET 2019 PYQ

Qus : 1NIMCET PYQ 2019

If we can generate a maximum of 4 Boolean functions using n Boolean variables, what will be minimum value of n?

NIMCET PREVIOUS YEAR QUESTION

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NIMCET Computer PYQNIMCET Boolean algebra PYQ

Solution

Qus : 2NIMCET PYQ 2019

A, B, C, D, E, and F are a group of friends. There are two housewives, one professor, one engineer, one accountant and one lawyer in the group. There are only two married couples in the group. The lawyer is married to D, who is a housewife. No woman in the group is either an engineer or an accountant. C, the accountant, is married to F, who is a professor. A is married to a housewife. E is not a housewife.

What is E's profession?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 3NIMCET PYQ 2019

How many members of the group are males?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 4NIMCET PYQ 2019

Wrong number in the series 7, 8, 18, 57, 228, 1165, 6996

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

The series is

7*1 + 1 = 8

8*2 + 2 = 18

18*3 + 3 = 57

57*4 + 4 = 232

232*5 + 5 = 1165

1165*6 + 6 = 6996

so 228 is wrong

Qus : 5NIMCET PYQ 2019

The mean of 5 observation is 5 and their variance is 12.4. 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 2019 PYQ

Solution

Qus : 6NIMCET PYQ 2019

In a beauty contest, half the number of experts voted Mr. A and two thirds voted for Mr. B 10 voted for both and 6 did not for either. How may experts were there in all.

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Let the total number of experts be

N

E

is the set of experts who voted for miss

A

F

is the set of experts who voted for miss

B

.
Since

6

did not vote for either, n

(E \cup F) = N - 6

n (E) = \frac{N}{2}, n (F) = \frac{2}{3} N

and

n (E \cap F) = 10

.
So,

N - 6 = \frac{N}{2} + \frac{2}{3} N - 10

Solving the above equation gives

\frac{N}{6} = 4 \Rightarrow N = 24

Qus : 7NIMCET PYQ 2019

The value of non-zero scalars α and β such that for all vectors

and

such that

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 8NIMCET PYQ 2019

A force of 78 grams acts at the point (2,3,5). The direction ratios of the line of action being 2,2,1 . The magnitude of its moment about the line joining the origin to the point (12,3,4) is

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 9NIMCET PYQ 2019

Number of real solutions of the equation

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 10NIMCET PYQ 2019

The sum of infinite terms of a decreasing GP is equal to the greatest value of the function

in the interval [-2,3] and the difference between the first two terms is f'(0). Then the common ratio of GP is

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 11NIMCET PYQ 2019

Number of onto (surjective) functions from A to B if n(A)=6 and n(B)=3, is

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 12NIMCET PYQ 2019

If $|z|<\sqrt{3}-1$, then $|z^{2}+2z cos \alpha|$ is

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 13NIMCET PYQ 2019

A computer producing factory has only two plants T₁ and T₂ produces 20% and plant T₂ produces 80% of the total computers produced. 7% of the 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 T₁ 10P(computer turns out to be defective given that it is produced in plant T₂ ). 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 T₂ is

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 14NIMCET PYQ 2019

If A > 0, B > 0 and A + B = $\frac{\pi}{6}$ , then the minimum value of $tanA + tanB$

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

On differentiating

x= tanA + tan(π/6-A)

we get :

dx/dA = sec²A-sec²(π/6-A)

now putting

dx/dA=0

we get

cos²(A) = cos²(π/6-A) so 0≤A≤π/6

therefore

A=π/6-A from here we get A = π/12 = B

so minimum value of that function is

2tanπ/12 which is equal to 2(2-√3)

Qus : 15NIMCET PYQ 2019

The tangent at the point (2, -2) to the curve $x^2 y^2-2x=4(1-y)$ does not passes through the point

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 16NIMCET PYQ 2019

The integral $\int \sqrt{1+2 cot x(cosec x+cotx)} dx$ , $(0<x<\frac{\pi}{2})$ (where C is a constant of integration) is equal to

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 17NIMCET PYQ 2019

If all the words, with or without meaning, are written using the letters of the word QUEEN add are arranged as in English Dictionary, then the position of the word QUEEN is

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Letters of the word QUEEN are E,E,N,Q,U

Words beginning with E (4!) = 24

Words beginning with N (4!/2!)=12

Words beginning with QE (3!) = 6

Words beginning with QN (3!/2!)= 3

Total words = 24+12+6+9=45

QUEEN is the next word and has rank 46th.

Qus : 18NIMCET PYQ 2019

The curve satisfying the differential equation

and passing through the point (1,1) also passes through the point __________

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 19NIMCET PYQ 2019

is equal to

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 20NIMCET PYQ 2019

If S and S' are foci of the ellipse

, B is the end of the minor axis and BSS' is an equilateral triangle, then the eccentricity of the ellipse is

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 21NIMCET PYQ 2019

The equation of the circle passing through the point (4,6) and whose diameters are along x + 2y - 5 =0 and 3x - y - 1=0 is

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 22NIMCET PYQ 2019

In a parallelogram ABCD, P is the midpoint of AD. Also, BP and AC intersect at Q. Then AQ : QC =

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 23NIMCET PYQ 2019

The median AD of ΔABC is bisected at E and BE is extended to meet the side AC in F. The AF : FC =

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 24NIMCET PYQ 2019

Let $X_i, i = 1,2,.. , n$ be n observations and $w_i = px_i +k, i = 1,2, ,n$ where p and k are constants. If the mean of $x_i 's$ is 48 and the standard deviation is 12, whereas the mean of $w_i 's$ is 55 and the standard deviation is 15, then the value of p and k should be

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 25NIMCET PYQ 2019

Not Available

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 26NIMCET PYQ 2019

, then the values of A₁, A₂, A₃, A₄ are

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 27NIMCET PYQ 2019

then x =

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 28NIMCET PYQ 2019

Equation of the tangent from the point (3,−1) to the ellipse 2x² + 9y² = 3 is

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 29NIMCET PYQ 2019

The position vectors of the vertices

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 30NIMCET PYQ 2019

The $sin^2 x tanx + cos^2 x cot x-sin2x=1+tanx+cotx $, $x \in (0 , \pi)$, then x

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 31NIMCET PYQ 2019

Not Available right now

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 32NIMCET PYQ 2019

In a chess tournament, n men and 2 women players participated. Each player plays 2 games against every other player. Also, the total number of games played by the men among themselves exceeded by 66 the number of games that the men played against the women. Then the total number of players in the tournament is

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 33NIMCET PYQ 2019

Suppose A₁ , A₂ , A₃ , …..A₃₀ are thirty sets each having 5 elements with no common elements across the sets and B₁ , B₂ , B₃ , ..... , B_n are

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 34NIMCET PYQ 2019

Let

,where [x]denotes the greatest integer

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 35NIMCET PYQ 2019

Let U and V be two events of a sample space S and P(A) denote the probability of an event A. Which of the following statements is true?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 36NIMCET PYQ 2019

If a man purchases a raffle ticket, he can win a first prize of Rs.5,000 or a second prize of Rs.2,000 with probabilities 0.001 and 0.003 respectively. What should be a fair price to pay for the ticket?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 37NIMCET PYQ 2019

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. Read both statements and

Give the answer (U) if the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
Give the answer (V) if the data in statement I| alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
Give the answer (W) if the data either in Statement I or in Statement II alone are sufficient to the answer of the question.
Give the answer (X) if the data in both statements I and II together are not sufficient to answer the question.
Give the answer (Y) if the data in both statements I and II together are are necessary to answer the question.

How much time will the leak take to empty the full cistern?

The cistern is normally filled in 9 hours.
It takes one hour more than the usual time to fill the cistern because of a leak in the bottom.

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 38NIMCET PYQ 2019

If the mean deviation 1, 1+d, 1+2d, … , 1+100d from their mean is 255, then d is equal to

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 39NIMCET PYQ 2019

Give the answer (U) if the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
Give the answer (V) if the data in statement I| alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
Give the answer (W) if the data either in Statement I or in Statement II alone are sufficient to the answer of the question.
Give the answer (X) if the data in both statements I and II together are not sufficient to answer the question.
Give the answer (Y) if the data in both statements I and II together are are necessary to answer the question.

How will long it take to empty the tank if both the inlet pipe P1 and the outlet pipe P2 are opened simultaneously?

P1 can fill the tank in 16 minutes.
P2 can empty the full tank in 8 minutes.

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 40NIMCET PYQ 2019

and

, then a possible value of n is among the following is

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 41NIMCET PYQ 2019

Let S be the set $\{a\in Z^+:a\leq100\}$.If the equation $[tan^2 x]-tan x - a = 0$ has real roots (where [ . ] is the greatest integer function), then the number of elements is S is

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 42NIMCET PYQ 2019

Statement- I: Out of total of 200 readers, 100 read Indian Express, 120 read Times of India and 50 read Hindu.

Statement - II: Out of a total of 200 readers, 100 read Indian Express, 120 reads Times of India and 50 read neither.

How many people (from the group surveyed) read both Indian Express and Times of India?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 43NIMCET PYQ 2019

The solution set of the inequality

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 44NIMCET PYQ 2019

If 137+ 276 = 435, how much is 731 + 672/ ?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

137+276=435 (in base 8)

Hence, 731+672=6123

Qus : 45NIMCET PYQ 2019

If $a, b, c$ are in GP and $log a - log 2b$, $log 2b - log 3c$ and $log 3c - log a$ are in AP, then $a, b, c$are the lengths of the sides of a triangle which is

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 46NIMCET PYQ 2019

Study the information carefully and answer the questions given below:

If we arrange the alphabets in the word "RATE" in the English alphabetical order, word "AERT" is formed. Then the third alphabet from the left in this word is "R". similarly, from the word "OPEN" we get - "ENOP" and the third alphabet from the left is "O". From the word "CHEF" we get - "CEFH" the third alphabet from the left "F". From the word "TOY" we get - "OTY" and the third alphabet from the left is "Y". If we use all these letters, then a meaningful English word "FORTY" can be formed.

Now find which of the following word set DOES NOT give a meaningful word in the similar way.

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 47NIMCET PYQ 2019

Not Available

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 48NIMCET PYQ 2019

Navjivan Express from Ahmedabad to Chennai leaves Ahmedabad at 6:30 am and travels at 50kmph towards Baroda situated 100 km away. At 7.00 am Howrah-Ahmedabad Express leaves Baroda towards Ahmedabad and travels at 40 kmph. At 7:30 am Mr. Shah, the traffic controller at Baroda realizes that both trains are running on the same track. How much time does he have to avert a head-on collision between the two trains?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

The distance between Ahmedabad and Baroda is 100 Km

Navjivan express starts at 6:30 am at 50 Km/hr and Howrah expresses starts at7:00 am at 40 Km/hr.

Distance covered by Navjivan express in 30 minutes (by 7 am) is 25 Km/hr.

So, at 7 am, the distance between the two trains is 75 Kms and they aretravelling towards each other a relative speed of 50+40=90 Km/hr.

So, time taken them to meet is 75/90*60 = 50 minutes.

As, Mr. Shah realizes the problem after thirty minutes, time left to avoid collision is 50-30 = 20 minutes

Qus : 49NIMCET PYQ 2019

If (1 + x – 2x²)⁶= 1 + a₁x + a₂x²+ ... + a₁₂x¹², then the value a₂+ a₄+ a₆+ ... + a₁₂

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Solution

Qus : 50NIMCET PYQ 2019

In IEEE single precision floating point representation, exponent is represented in ______

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 51NIMCET PYQ 2019

Not Available

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Solution

Qus : 52NIMCET PYQ 2019

With 4-bit 2's complement arithmetic, which of the following addition will result in overflow?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 53NIMCET PYQ 2019

A man takes a step forward with probability 0.4 and backward with probability 0.6. The probability that at the end of eleven steps, he is one step away from the starting point is

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 54NIMCET PYQ 2019

Not Available

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 55NIMCET PYQ 2019

If the 2's complement representation of a number is (011010)₂ , what is its equivalent hexadecimal representation?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 56NIMCET PYQ 2019

If x, y, z are distinct real numbers then

= 0, then xyz=

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 57NIMCET PYQ 2019

For the circuit shown below, the complement of the output F is _________

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 58NIMCET PYQ 2019

Not Available

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Solution

Qus : 59NIMCET PYQ 2019

If N is a 16-bit signed integer, then 2's complement representation of N is (F87B)₁₆. The 2's complement representation of 8*N is

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 60NIMCET PYQ 2019

If $a, a, a_2, ., a_{2n-1},b$ are in AP, $a, b_1, b_2,...b_{2n-1}, b $are in GP and $a, c_1, c_2,... c_{2n-1}, b $ are in HP, where a, b are positive, then the equation $a_n x^2-b_n+c_n$ has its roots

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 61NIMCET PYQ 2019

The base ( or radix) of the number system such that the following equation holds 312/20 = 131.1 is

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 62NIMCET PYQ 2019

For the two circles $x^2+y^2=16$ and $x^2+y^2-2y=0$, there is/are

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 63NIMCET PYQ 2019

Which of the following represents (D4)₁₆?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 64NIMCET PYQ 2019

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Solution

Qus : 65NIMCET PYQ 2019

How many Boolean expressions can be be formed with 3 Boolean variables?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 66NIMCET PYQ 2019

A particle P starts from the point

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 67NIMCET PYQ 2019

In an 8 bit representation of computer system the decimal number 47 has to be subtracted from 38 and the result in binary 2's complement is _________

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 68NIMCET PYQ 2019

If $\Delta=a^2-(b-c)^2$, where $\Delta$ is the are of the triangle ABC, then $tanA=$

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 69NIMCET PYQ 2019

Select the most suitable antonym from the given choices for the word : "SANGFROID"

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Solution

Qus : 70NIMCET PYQ 2019

Two numbers $a$ and $b$ are chosen are random from a set of the first 30 natural numbers, then the probability that $a^2 - b^2$ is divisible by 3 is

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 71NIMCET PYQ 2019

The word PIN is used in four different ways. Choose the option in which the usage of the word is incorrect or inappropriate?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 72NIMCET PYQ 2019

Pick the most appropriate substitute to the capitalized word in the following sequence.

The weapon inspector's report was not expected to provide INCONTROVERTIBLE evidence of weapons of mass destruction.

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Solution

Qus : 73NIMCET PYQ 2019

In the sentence given below, a part of sentence is underlined. Four different ways of phrasing the underlined part are indicated as four choices. Choose the best alternative and mark its corresponding letter as your answer.

A nation is built not be legislation but by the stirrings in the heart of the people.

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 74NIMCET PYQ 2019

Select the most suitable synonym for the underlined word in the sentence.

All the members of organization expressed implacable opposition to the move.

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 75NIMCET PYQ 2019

Choose the phrasal verb to replace the explanation in brackets.

"We must (be quick) ________ or we'll be late for school"

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 76NIMCET PYQ 2019

Anne had to pay everything because as usual, Peter __________ his wallet at home.

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 77NIMCET PYQ 2019

Extreme old age when a man behaves like a child.

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 78NIMCET PYQ 2019

Identify the word that means "To try to achieve something is difficult circumstances despite a setbacks".

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 79NIMCET PYQ 2019

In the following a part of the sentence is underlined. Four different ways of phrasing the underlined part are indicated below. Chose the best alternative among the four choices given.

When he entered the house, it was in sixes and sevens.

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 80NIMCET PYQ 2019

There are two blanks in the sentences given below. From the pairs of word given below the sentences, choose the pair that fills the blank most appropriately.

Private companies supplying 'breakfast cereals' have started ________ in agriculture in poorer countries. This has _________ the spectre of land grabs and political conflicts.

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 81NIMCET PYQ 2019

Use the appropriate phrasal verb and complete the sentence given below.

The new system in education is aimed at ___________ the differences between rich and poor.

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 82NIMCET PYQ 2019

Read the following passage and answer questions.

I have, myself, full confidence that if all do their duty, if nothing is neglected, and if the best arrangements are made, as they are being made, we shall prove ourselves once again able to defend our Island home, to ride out the storm of war, and to outlive the menace of tyranny, if necessary for years, if necessary alone. At any rate, that is what we are going to try to do. That is the resolve of His Majesty's Government-every man of them.

That is the will of the parliament of our nation. The British Empire and the French Republic, linked together in their cause and in their need, will defend to the death their native soil, aiding each other like good comrades to the utmost of their strength. Even though large tracts of Europe and many old and famous States have fallen or may fall into the grip of the Gestapo and all the odious apparatus of Nazi rule, we shall not flag or fail.

We shall go on to the end, we shall fight in France, we shall fight on the seas and oceans, we shall fight with growing confidence and growing strength in the air, we shall defend our Island, whatever the cost may be, we shall fight on the beaches, we shall fight on the landing grounds, we shall fight in the fields and in the streets, we shall fight in the hills; we shall never surrender, and even if, which I do not for a moment believe, this island or a large part of it were subjugated and starving, then our Empire beyond the seas, armed and guarded by the British Fleet, would carry on the struggle, until, in God's good time, the New World, with all its power and might, steps forth to the rescue and the liberation of the old."

What does the term ride out the storm mean?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 83NIMCET PYQ 2019

Read the following passage and answer questions.

What does subjugate mean?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 84NIMCET PYQ 2019

Read the following passage and answer questions.

"That is the resolve of His Majesty's Government." What is their resolve?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 85NIMCET PYQ 2019

Fill in the blanks choosing the correct adjective : The phoenix is a ______Bird.

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 86NIMCET PYQ 2019

Which of the following is the correct passive of the sentence, "JOHN HAS EATEN THE APPLES?"

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 87NIMCET PYQ 2019

Choose one of the words that is most nearly same as meaning of the given word Indemnify

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 88NIMCET PYQ 2019

Select a word from the given alternatives which has the same meaning as the underlined word:

He has a propensity for getting into debt.

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 89NIMCET PYQ 2019

Select the most suitable synonym from the given choices for the word : "ANTEDILUVIAN"

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 90NIMCET PYQ 2019

A clock is set right at 5 AM. The clock loses 16 minutes in 24 hours.What will be the true time when the clock indicates 10 p.m. on 4th day?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Time from 5 am. on a day to 10 pm. on 4th day = 89 hours.

Now 23 hrs 44 min. of this clock = 24 hours of correct clock.

356/15 hrs of this clock = 24 hours of correct clock

89 hrs of this clock = (24 x 31556 x 89) hrs of correct clock.

= 90 hrs of correct clock.

So, the correct time is 11 p.m

Qus : 91NIMCET PYQ 2019

A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 92NIMCET PYQ 2019

Decide which of the give conclusions logically follow from from the given students(s) :

Statements:

All suns are moons.

Some moons are planets.

Conclusions :

I. All moons are suns.

II. At least some moons are planets.

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 93NIMCET PYQ 2019

Ten points are marked on a straight line and eleven points are marked on another straight line. How many triangles can be constructed with vertices from among the above points?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

We can get the triangles in two different ways.

Taking two points from the line having 10 points

(in ¹⁰C2 ways, i.e., 45 ways) and one point from the line consisting of 11 points (in 11 ways).

So, the number of triangles here is 45×11=495.

Taking two points from the line having 11 points (in ¹¹C2, i.e., 55 ways) and one point from the line consisting of 10 points (in 10 ways), the number of triangles here is 55×10=550

Total number of triangles, =495+550

=1,045 triangles

Qus : 94NIMCET PYQ 2019

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 2019 PYQ

Solution

Required number

= H.C.F. of (1657 - 6) and (2037 - 5)

= H.C.F. of 1651 and 2032 = 127.

Qus : 95NIMCET PYQ 2019

Twelve classmates A, B, C, D, E, F, G, H I, J, K and L are sitting on a square table with 3 persons on each side. ABC and GJK are sitting on opposite sides. A and L are adjacent to each other. K is sitting diagonally to C.

If F is sitting between D and E, who is sitting to the left of K?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 96NIMCET PYQ 2019

If H is sitting between L and F, then he will be facing

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 97NIMCET PYQ 2019

If G and E are facing C and H respectively, the neighbours of K are

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 98NIMCET PYQ 2019

The integers 34041 and 32506, when divided by a 3 - digit integer n, leave the same remainder. What can be the value of n?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Find the difference between both 34041 and 32506.

34041 - 32506 = 1535

So n should be a factor of 1535.

Factors of 1535:- 1, 5, 307, 1535

Here, 307 is a three digit factor of 1535. So n = 307 34041 and 32506 divided by 307 leaves remainder 271.

So 307 is the answer.

Qus : 99NIMCET PYQ 2019

The number of solid spheres ,each of diameter 3 cm that could be moulded to form a solid metal cylinder of height 54cm and diameter 4 cm is?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 100NIMCET PYQ 2019

1.All chickens are birds.

2. Some chickens are hens.

3. Female birds lay eggs.

If the above three statements are facts, which of the following statement must also be a fact?

I. All birds lay eggs.

II. Hens are birds.

III. Some chickens are not hens.

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Solution

Qus : 101NIMCET PYQ 2019

The number that comes next in the series 1, 2, 3, 6, 11, 20, 37, 68,...

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

0 + 1 + 2 = 3

1 + 2 + 3 = 6

2 + 3 + 6 = 11

3 + 6 + 11 = 20

6 + 11 + 20 = 37

11 + 20 + 37 = 68

so next number in the sequence would be;20 + 37 + 68 = 125

Qus : 102NIMCET PYQ 2019

Using only 2, 5, 10, 25 and 50 paise coins, the smallest number of coins required to pay exactly 79 paise, 66 paise and Re 1.01 to three different persons is

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Coins For 79 Paise :

25 paise × 3 coins + 2 paise × 2 coins Total number of coins for 79 paise = 5

Coins For 66 Paise :

50 paise × 1 coin + 10 paise × 1 coin + 2 paise × 3 coin

Total number of coins for 66 paise = 5 coins

For 1.01 Paise :

50 paise × 1 coin + 25 paise × 1 coin + 10 paise × 2 coin + 2 paise × 3 coin

Total number of coins for Rs. 1.01 paise = 7 coins

So, total coins used = (5 + 5 + 7) coins

= 17 coins

Ans.(A) (because given that smallest no. of coin)

Qus : 103NIMCET PYQ 2019

What pair comes next in the following sequence 99, 90, 83, 78, ...

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 104NIMCET PYQ 2019

A dealer offers a cash discount of 20% and still makes a profit of 20%, when he further allows 16 articles to a dozen to a particularly sticky bargainer. How much percent above the actual price price were his was the listed price of the article?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Let the cost price (CP) be x.

As dealer makes a profit of 20%,

selling price (SP) = 1.2x

But the dealer incurs loss by selling 16 articles at the cost of 12 articles.

So, SP of 16 articles = CP of 12 articles

Loss = 25%

Now, SP = 1.6x

80% of marked (or list) price (MP) = 1.6x

MP = 2x

Hence, list price is 100% above cost price.

Qus : 105NIMCET PYQ 2019

A dealer offers sells half of the eggs that he has and another half an egg to Anurag. Then he sells half of the balance eggs and another half an egg to Deepak. Then he sells half of the balance eggs and another half an egg to Sivani. In the end he is left with just 7 eggs and he claims that he never broke an egg. How many eggs did he start with?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 106NIMCET PYQ 2019

There are eight poets, namely, A, B, C, D, E, F, G and H in respect of whom questions are being asked in the examination. The first four are ancient poets and the last four are modern poets. The question on ancient and modern poets is being asked in alternate years. Those who like W also like V, those who like S like R also. The examiner who sets question is not likely to ask question on S because he has written an article on him. But he likes S. Last year a question was asked on U. Considering these facts, on whom the question is most likely to be asked this year ?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 107NIMCET PYQ 2019

A team must be selected from ten probables – A, B, C, D, E, F, G, H, I and J. Of these, A, C, E and J are forwards, B, G and H are point guards and D, F and I are defenders. The team must have at least one forward, one point guard and one defender. If the team includes J, it must also include F. The team must include E or B, but not both. If the team includes G, it must also include F. The team must include exactly one among C, G and I. C and F cannot be members of the same team.D and H cannot be members of the same team. The team must include both A and D or neither of them. There is no restriction on the number of members in the team. What could be the maximum size of the team that includes G?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 108NIMCET PYQ 2019

How many 4 - digit numbers that can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 109NIMCET PYQ 2019

In a family of six persons, there are people from three generations. Each person has separate profession and also they like different colours. There are two couples in the family. Rohan is a CA and his wife neither is a doctor nor likes green colour. Engineer likes red colour and his wife is a teacher. Mohini is mother-in-law of Savita and she likes orange colour. Deepak is grandfather of Titu and Titu, who is a principal, likes black colour. Nerru is grand-daughter of Mohini and she likes blue colour. Nerru's mother likes white colour. Savita is a

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 110NIMCET PYQ 2019

How many positive numbers less than 10,000 are such that the product of their digits is 210?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

210=1*2*3*5*7=1*6*5*7.

(Only 2*3 makes the single digit 6).

So, four digit numbers with combinations of the digits {1,6,5,7} and {2,3,5,7} and three digit numbers with combinations of digits {6,5,7} will have the product of their digits equal to 210.

{1,6,5,7} # of combinations 4!=24

{2,3,5,7} # of combinations 4!=24

{6,5,7} # of combinations 3!=6

24+24+6=54.

Qus : 111NIMCET PYQ 2019

Each of the five people K, L, M, P and Q is of a different weight. It is known that the number of people heavier than P is the same as the number of people lighter than Q. L is the heaviest and K is not the lightest. Who is the lightest?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 112NIMCET PYQ 2019

John, Johny and Janardan participated in a race and each won a different medal among Gold, Silver and Bronze, not necessarily in that order. Each person among them gives two replies to any question, one of which is true and the other is false (in any order). When asked about the details of the medals obtained by them, the following were their replies:

John: I won the Gold medal.Johny won the Bronze medal.

Johny: John won the Silver medal.I won the Gold medal.

Janardan: Johny won the Silver medal.I won the Gold medal.

Which among the following is the correct order of the persons who won the Gold medal, the Silver medal and the Bronze medal respectively?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Each among John, Johny and Janardan is an Alternator.
Let John's first statement be true and second be false;

	I	II	Medal
John	T	F	Gold
Johny	F	F	Silver
Janardan	T	F	Bronze

Hence, Johny is not an Alternator, which means our initial assumption was false.
Let John's first statement be false and second be true:

	I	II	Medal
John	F	T	Silver
Johny	T	F	Bronze
Janardan	F	T	Gold

Hence, Janardan ⇒ Gold medal
John ⇒ Silver medal
Johny ⇒ Bronze medal

Qus : 113NIMCET PYQ 2019

Each of A, B and C is a different digit among 1 to 9. How many different values of the sum of A, B and C are possible, if ABA X AA=ACCA ?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 114NIMCET PYQ 2019

In a certain language , if the word 'BASKET' os coded as 'UFLTBC', then how is the word 'SIMPLE' coded in that language?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 115NIMCET PYQ 2019

If the points

lie in the region corresponding to the acute angle between the lines and then

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 116NIMCET PYQ 2019

Some friends planned to contribute equally to jointly buy a CD player. However, two of them decided to withdraw at the last minute. As a result, each of the others had to shell out one rupee more than what they had planned for. If the price (in Rs.) of the CD player is an integer between 1000 and 1100, find the number of friends who actually contributed?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

We will assume the friends to be x and the contribution they are going to make be y

so,

xy = (x-2)(y+1)

= xy - 2y + x - 2

x = 2(y+1)

Here are the possible values of y,x and yx:

y = 21,22,23,24

x = 44,46,48,50

xy = 920, 1012,1104,1200

1000 < xy < 1100 (y,x)

= (22,46)

which will be x = 46

So the number of friends would be x -2 = 44

Qus : 117NIMCET PYQ 2019

Two liquids A and B are in the ratio 5:1 in container 1 and in the ratio 1:3 in container 2. In what ratio should the contents of the two containers be mixed so as to obtain a mixture of A and B in the ratio 1:1?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Let each part be x.
Vol of A= 5x ;

Vol of B= x ; Total Vol= 6x.

Container 2:
Let each part be y.
Vol of A= y ;

Vol of B= 3y;

Total Vol= 4y.

After Mixing:
Vol of A= 5x + y
Vol of B= x + 3y
As Ratio of A:B is 1:1, hence
5x+y = x+3y
2x = y
So,
Ratio of Total Vol 1 : Total Vol 2 =
6x / 4y

= 6x / 4(2x)

= 6/8 = 3/4.

Qus : 118NIMCET PYQ 2019

Each family in a locality has at most two adults, and no family has fewer than 3 children. Considering all the families together, there are more adults than boys, more boys than girls, and more girls than families. Then the minimum possible number of families in the locality is

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Let n_f be number of families, n_g be number of girls, n_b be number of boys and n_abe number of adults.

number of adults more than number of boys, number of boys more than number of girls and number of girls more than number of families.

hence we have, n_a > n_b > n_g > n_f ..........................(1)

we check the above relation (1) with different values for number of families, starting with n_f= 1

Let n_f= 1 , then n_b + n_g= 3 , if n_g =2 then n_b = 1 . But number of boys is greater than number of girls.
due to this contradiction, n_f ≠ 1

Let n_f= 2 , then n_b + n_g= 6 , if n_g =3 then n_b = 3 . But number of boys is greater than number of girls.
due to this contradiction, n_f ≠ 2

Let n_f= 3 , then n_b + n_g= 9 , if n_g =4 then n_b = 5 . number of adults n_a = 6.

hence the relation n_a > n_b > n_g > n_fis satisfied for the above numbers, 6>5>4>3
hence minimum number of families is 3

Qus : 119NIMCET PYQ 2019

Fresh grapes contain 90% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes?

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

The weight of non-water in 20 kg of fresh grapes (which is 100-90=10% of whole weight) will be the same as the weight of non-water in x kg of dried grapes (which is 100-20=80% of whole weight), so

20 * 0.1 = x * 0.8

-->

x = 2.5

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