Phrases 2019 Previous Year Question Paper and Solution with PDF

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Phrases Previous Year Questions (PYQs)

Phrases 2019 PYQ

Qus : 1Phrases 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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Phrases Computer PYQPhrases Boolean algebra PYQ

Solution

Qus : 2Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 3Phrases PYQ 2019

How many members of the group are males?

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 4Phrases PYQ 2019

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

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Phrases Previous Year PYQPhrases 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 : 5Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 6Phrases 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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Phrases Previous Year PYQPhrases 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 : 7Phrases PYQ 2019

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

and

such that

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 8Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 9Phrases PYQ 2019

Number of real solutions of the equation

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 10Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 11Phrases PYQ 2019

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

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 12Phrases PYQ 2019

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

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 13Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 14Phrases PYQ 2019

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

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Phrases Previous Year PYQPhrases 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 : 15Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 16Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 17Phrases 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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Phrases Previous Year PYQPhrases 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 : 18Phrases PYQ 2019

The curve satisfying the differential equation

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

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 19Phrases PYQ 2019

is equal to

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 20Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 21Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 22Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 23Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 24Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 25Phrases PYQ 2019

Not Available

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Solution

Qus : 26Phrases PYQ 2019

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

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 27Phrases PYQ 2019

then x =

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 28Phrases PYQ 2019

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

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 29Phrases PYQ 2019

The position vectors of the vertices

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 30Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 31Phrases PYQ 2019

Not Available right now

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Solution

Qus : 32Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 33Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 34Phrases PYQ 2019

Let

,where [x]denotes the greatest integer

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 35Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 36Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 37Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 38Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 39Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 40Phrases PYQ 2019

and

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

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 41Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 42Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 43Phrases PYQ 2019

The solution set of the inequality

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 44Phrases PYQ 2019

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

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

137+276=435 (in base 8)

Hence, 731+672=6123

Qus : 45Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 46Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 47Phrases PYQ 2019

Not Available

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 48Phrases 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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Phrases Previous Year PYQPhrases 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 : 49Phrases PYQ 2019

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

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 50Phrases PYQ 2019

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

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 51Phrases PYQ 2019

Not Available

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Solution

Qus : 52Phrases PYQ 2019

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

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 53Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 54Phrases PYQ 2019

Not Available

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Solution

Qus : 55Phrases PYQ 2019

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

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 56Phrases PYQ 2019

If x, y, z are distinct real numbers then

= 0, then xyz=

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 57Phrases PYQ 2019

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

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 58Phrases PYQ 2019

Not Available

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Solution

Qus : 59Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 60Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 61Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 62Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 63Phrases PYQ 2019

Which of the following represents (D4)₁₆?

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Solution

Qus : 64Phrases PYQ 2019

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Solution

Qus : 65Phrases PYQ 2019

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

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 66Phrases PYQ 2019

A particle P starts from the point

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Solution

Qus : 67Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 68Phrases PYQ 2019

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

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 69Phrases PYQ 2019

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

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 70Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 71Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 72Phrases 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 : 73Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 74Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 75Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 76Phrases PYQ 2019

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

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Solution

Qus : 77Phrases PYQ 2019

Extreme old age when a man behaves like a child.

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Solution

Qus : 78Phrases PYQ 2019

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

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 79Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 80Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 81Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 82Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 83Phrases PYQ 2019

Read the following passage and answer questions.

What does subjugate mean?

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 84Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 85Phrases PYQ 2019

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

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 86Phrases PYQ 2019

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

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 87Phrases PYQ 2019

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

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 88Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 89Phrases PYQ 2019

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

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 90Phrases 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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Phrases Previous Year PYQPhrases 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 : 91Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 92Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 93Phrases 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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Phrases Previous Year PYQPhrases 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 : 94Phrases PYQ 2019

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

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Required number

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

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

Qus : 95Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 96Phrases PYQ 2019

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

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 97Phrases PYQ 2019

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

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 98Phrases 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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Phrases Previous Year PYQPhrases 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 : 99Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 100Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 101Phrases PYQ 2019

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

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Phrases Previous Year PYQPhrases 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 : 102Phrases 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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Phrases Previous Year PYQPhrases 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 : 103Phrases PYQ 2019

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

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 104Phrases 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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Phrases Previous Year PYQPhrases 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 : 105Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 106Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 107Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 108Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 109Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 110Phrases PYQ 2019

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

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Phrases Previous Year PYQPhrases 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 : 111Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 112Phrases 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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Phrases Previous Year PYQPhrases 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 : 113Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 114Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 115Phrases PYQ 2019

If the points

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

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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 116Phrases 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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Phrases Previous Year PYQPhrases 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 : 117Phrases 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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Phrases Previous Year PYQPhrases 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 : 118Phrases 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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Phrases Previous Year PYQPhrases 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 : 119Phrases 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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Phrases Previous Year PYQPhrases 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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