NIMCET 2020?view=year Previous Year Question Paper and Solution with PDF

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NIMCET Previous Year Questions (PYQs)

NIMCET 2020?view=year PYQ

Qus : 1NIMCET PYQ 2020?view=year

The expression $\frac{tanA}{1-cotA}+\frac{cotA}{1-tanA}$ can be written as

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 2NIMCET PYQ 2020?view=year

Angle of elevation of the top of the tower from 3 points (collinear) A, B and C on a road leading to the foot of the tower are 30°, 45° and 60°, respectively. The ratio of AB and BC is

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

According to the given information, the figure should be as follows.

Let the height of tower = h

Qus : 3NIMCET PYQ 2020?view=year

The area enclosed between the curves y² = x and y = |x| is

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Solving y² = x and y = x,

we get, y = 0, x = 0, y = 1, x = 1 Therefore,

Qus : 4NIMCET PYQ 2020?view=year

Test the continuity of the function at x = 2

$f(x)= \begin{cases} \frac{5}{2}-x & \text{ if } x<2 \\ 1 & \text{ if } x=2 \\ x-\frac{3}{2}& \text{ if } x>2 \end{cases}$

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

LHL ≠ f(2)

Qus : 5NIMCET PYQ 2020?view=year

The value of

2tan^-1[cosec(tan^-1x) - tan(cot^-1x)]

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 6NIMCET PYQ 2020?view=year

If $3 sin x + 4 cos x = 5$, then $6tan\frac{x}{2}-9tan^2\frac{x}{2}$

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 7NIMCET PYQ 2020?view=year

If A is a subset of B and B is a subset of C, then cardinality of A ∪ B ∪ C is equal to

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 8NIMCET PYQ 2020?view=year

A set of consecutive positive integers beginning with 1 is written on the blackboard. A student came along and erased one number. The average of the remaining numbers is $35\frac{7}{15}$. What was the number erased?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 9NIMCET PYQ 2020?view=year

Four friends A, B, C and D need to cross a bridge in the night. A maximum of 2 people can cross at a time. They have only one lamp. A takes one minute to cross the bridge. B takes 2 minutes, C takes 8 minutes and D takes 11 minutes to cross the bridge respectively. A pair must walk together at the speed of the person who walks slowly. What is the minimum time required to cross the bridge by all the four people?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 10NIMCET PYQ 2020?view=year

In a city, 40.1% of the adults are illiterate while 85.1% of the children are literate. If the ratio of the adults to that of the children is 2:3, then what percent of the population is literate?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 11NIMCET PYQ 2020?view=year

A runs $1 \frac{2}{3}$ times as fast as B. If A gives B a start of 80m, how far must the winning post be so that A and B might reach it at the same time?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 12NIMCET PYQ 2020?view=year

A person’s present age is two fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. What is the present age of his mother?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 13NIMCET PYQ 2020?view=year

Mr. Kumar drives to work at an average speed of 48 Km/hr. The time taken to cover the first 60% of the distance is 10 minutes more than the time taken to cover the remaining distance. How far is his office?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 14NIMCET PYQ 2020?view=year

Two pipes A and B can fill the cistern in 37.5 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 15NIMCET PYQ 2020?view=year

In a certain code, DOES is written as 5$3% and SITE is written as %4#3. How is EDIT written in that code?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 16NIMCET PYQ 2020?view=year

In a shower, 5 cm of rainfalls. The volume of water that falls on 1.5 hectares of ground is:

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 17NIMCET PYQ 2020?view=year

Eight friends A through H, are sitting around a circular table, playing a game of cards. They belong to two different teams X and Y. No two persons of the same team sit in adjacent seats.

A sits neither opposite to D nor to H but is sitting in between C and G.
B sits neither opposite to A nor to G but is sitting in between F and D
B and H belong to team X and D sits opposite to E.

Who are the members of team X?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 18NIMCET PYQ 2020?view=year

Eight friends A through H, are sitting around a circular table, playing a game of cards. They belong to two different teams X and Y. No two persons of the same team sit in adjacent seats.

A sits neither opposite to D nor to H but is sitting in between C and G.
B sits neither opposite to A nor to G but is sitting in between F and D
B and H belong to team X and D sits opposite to E.

Who are sitting adjacent to E?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 19NIMCET PYQ 2020?view=year

Four students A, B, C and D distributed 30 marbles among themselves. No two students got equal number of marbles. No student got more than 10 marbles. No student got less than 5 marbles. A and C got odd number of marbles. B and D got even number of marbles. A got more marbles than B, C got more marbles than D, B got more marbles than D.

What is the number of marbles with A?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 20NIMCET PYQ 2020?view=year

Mean of number of marbles with B, C, D is:

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Solution

Qus : 21NIMCET PYQ 2020?view=year

Nine individuals - Z, Y, X, W, V, U, T, S and R - are the only candidates, who can serve on three committees — K1, K2 and K3, and each candidate should serve on exactly one of the committees. Committee K1 should consist of exactly one member more than committee K2. It is possible that there are no members in committee K3. Among Z, Y and X none can serve on committee K1. Among W, V and U none can serve on committee K2. Among T, S and R none can serve on committee K3.

In case committee K2 is served by T and Z only, how many of the nine individuals should serve on committee K3?

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Solution

Qus : 22NIMCET PYQ 2020?view=year

Of the nine individuals, the largest number that can serve together on committee K3 is:

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 23NIMCET PYQ 2020?view=year

Fill in the blank in the series: ELFA, GLHA, ILJA, _____, MLNA:

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 24NIMCET PYQ 2020?view=year

Pointing to a gentleman, Mohan said, 'His only brother is the father of my daughter’s father'. The gentleman is Mohan’s ________.

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 25NIMCET PYQ 2020?view=year

It was 9.35 AM in Garvita’s watch, which kept correct time, when Manya informed her that the last bus left the bus stop at 9.25 am. Manya’s watch is 5 min fast. The frequency of the bus is every 20 min. For how long Garvita must wait to catch the next bus?

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Solution

Qus : 26NIMCET PYQ 2020?view=year

A total of 324 notes comprising of Rs. 20 and Rs. 50 denominations make a sum of Rs. 12450. The number of Rs. 20 notes is

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 27NIMCET PYQ 2020?view=year

Rishabh stops after going 10 Km towards west from his office. Then he goes 8 Km turning to his left. After this he goes 4 Km turning to his left. How far is he from the fixed point?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 28NIMCET PYQ 2020?view=year

Which of the four options should fill the missing cell?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 29NIMCET PYQ 2020?view=year

In the following questions, the symbols $, #, @, % and * illustrate the following meanings.

P$Q – P is not smaller than Q
P#Q – P is neither greater than nor equal to Q.
P@Q – P is neither smaller than nor equal to Q.
P%Q – P is not greater than Q
P*Q – P is neither greater than nor smaller than Q.
Statements:
K # L, L % M, M * N, N # O
Conclusions:
I. K # M
II. K * M
III. L % O

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Solution

Qus : 30NIMCET PYQ 2020?view=year

Study the following arrangement carefully and answer the question given below:

W 1 R % 4 J E # 7 M T 2 I 9 B H 3 A $ 9 F Q 5 D G 6 U S P

Three of the following are alike in a certain way on the basis of above arrangement and hence form a group. Which one does not belong to that group?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 31NIMCET PYQ 2020?view=year

If there are no dancers that aren’t slim and no singers that aren’t dancers, then which statements are always true?

Choose the correct answer

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 32NIMCET PYQ 2020?view=year

If in a certain language, ITNIETAM is the code for INTIMATE, which word has the code TREVNIETARBI?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 33NIMCET PYQ 2020?view=year

Sum of ages of Anu and Bhanu is 10 years more than the sum of ages of Bhanu, Chanu, and Dhanu. The average age of Chanu and Dhanu is 19 years. Find the average age of Anu and Dhanu if Dhanu is 10 years elder than Chanu.

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 34NIMCET PYQ 2020?view=year

In a competitive examination in Maharashtra state 9% candidates got selected from the total appeared candidates. Tripura state had an equal number of candidates appeared and 12% candidates got selected with 102 more candidates got selected than Maharashtra state. What was the number of candidates appeared from each state?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 35NIMCET PYQ 2020?view=year

Shiva gave 40% of his monthly salary to his mother from the remaining he used 7% for electronic gadgets and 23% he kept aside for his monthly expenses. The remaining amount he transferred to his friend’s account. The sum of the amount he gave to his mother and he transferred to his friend account was 41000. What was Shiva’s monthly salary?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 36NIMCET PYQ 2020?view=year

Read the information given below and answer the questions that follow:

i. A * B means -> A and B are of the same age

ii. A – B means -> B is younger than A

iii. A + B means -> A is younger than B

Sachin * Madan – Reena means?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 37NIMCET PYQ 2020?view=year

Read the information given below and answer the questions that follows

i. A * B means -> A and B are of the same age

ii. A – B means -> B is younger than A

iii. A + B means -> A is younger than B

X + Y + Z is same as ________?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 38NIMCET PYQ 2020?view=year

Find out the wrong number in the following number series:

56, 58, 62, 70, 84, 118, 182

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 39NIMCET PYQ 2020?view=year

Find out the missing number:

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 40NIMCET PYQ 2020?view=year

In an examination, 78% of the total students who appeared were successful. If the total number of failures was 176 and 34% got first class, then how many students got first class?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 41NIMCET PYQ 2020?view=year

Which number should come in place of the question mark (?) in the following chart:

1	7	9
2	14	?
3	105	117

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 42NIMCET PYQ 2020?view=year

Find the missing number

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 43NIMCET PYQ 2020?view=year

How many minimum numbers of colours will be required to paint all the sides of a cube without the adjacent sides having the same colours?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 44NIMCET PYQ 2020?view=year

If a man walks at the rate of 4 km/hr, he misses a train by only 6 minutes. However, if he walks at the rate of 5 km/hr, he reaches the station 6 minutes before the arrival of the train. The distance covered by him to reach the station is:

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 45NIMCET PYQ 2020?view=year

If the numerator of a fraction is increased by 25% and denominator decreased by 20%, the new value is 5/4. What is the original value?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 46NIMCET PYQ 2020?view=year

Read the following information carefully and answer the questions given below:

i. Five friends Amar, Kapil, Sarvesh, Rohan and Nagesh put on five shirts of different colours, i.e., Red, Yellow, Blue, White, and Green, while they were going to attend a party. These colours are not in the order.

ii. They have different hobbies as reading, playing, outing, singing and writing.

iii. Kapil, who likes singing, does not wear Yellow shirt. Sarvesh wears Red shirt and he does not like reading or writing. Nagesh likes playing and he does not wear Blue or Yellow shirt. Amar likes writing and Rohan does not wear Yellow or Green shirt.

What is the colour of Kapil’s shirt?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 47NIMCET PYQ 2020?view=year

Read the following information carefully and answer the questions given below:

ii. They have different hobbies as reading, playing, outing, singing and writing.

Who likes writing?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 48NIMCET PYQ 2020?view=year

Assume x' represents negation of x the Boolean function x'y' + xy + x'y is equivalent to?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 49NIMCET PYQ 2020?view=year

The memory unit which directly communicates with the CPU is known as

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 50NIMCET PYQ 2020?view=year

Dynamic RAM consumes……. Power and ……than Static RAM

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Solution

Qus : 51NIMCET PYQ 2020?view=year

The binary equivalent of (234.125)₁₀?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 52NIMCET PYQ 2020?view=year

Determine the octal equivalent of (432267)₁₀?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 53NIMCET PYQ 2020?view=year

One Exabyte is equal to …

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 54NIMCET PYQ 2020?view=year

Consider the following circuit.

How many minimum numbers of two input NAND gates are required to design the above circuit?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 55NIMCET PYQ 2020?view=year

The time required for fetching and execution of one simple machine instruction is known as

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 56NIMCET PYQ 2020?view=year

The equivalence of given expression x+x'y with Boolean theorem is….

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

x+x'y

=(x+x')(x+y)

=(x+y)

Qus : 57NIMCET PYQ 2020?view=year

The logic XOR operation of (4AC0)₁₆ and (B53F)₁₆ results

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Solution

Qus : 58NIMCET PYQ 2020?view=year

Choose the correct expression of approval:

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Solution

Qus : 59NIMCET PYQ 2020?view=year

Which of the following is a Noun?

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Solution

Qus : 60NIMCET PYQ 2020?view=year

Choose the word that accurately signifies a student who avoids attending classes

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 61NIMCET PYQ 2020?view=year

Identify the type of error in the following sentence: Some of the books, were destroyed.

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 62NIMCET PYQ 2020?view=year

Pick the word similar in meaning: ALLEVIATE

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 63NIMCET PYQ 2020?view=year

Pick the word opposite in meaning: ABSURD

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 64NIMCET PYQ 2020?view=year

Identify the meaning of the following:

It was all Greek to me…. .

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Solution

Qus : 65NIMCET PYQ 2020?view=year

"To Vouch for" means

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Solution

Qus : 66NIMCET PYQ 2020?view=year

"To hold your horses" means

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Solution

Qus : 67NIMCET PYQ 2020?view=year

Choose the right option.

Blessing in disguise is …….?

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Solution

Qus : 68NIMCET PYQ 2020?view=year

He was accused ……. theft.

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Solution

Qus : 69NIMCET PYQ 2020?view=year

I never listen …… the radio.

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Solution

Qus : 70NIMCET PYQ 2020?view=year

I don’t think I’ve ever ……on that sofa

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Solution

Qus : 71NIMCET PYQ 2020?view=year

Name the letter that is sent along with the CV (Curriculum Vitae).

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Solution

Qus : 72NIMCET PYQ 2020?view=year

What is not included in a resume?

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Solution

Qus : 73NIMCET PYQ 2020?view=year

Choose the correct sentence of the following:

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Solution

Qus : 74NIMCET PYQ 2020?view=year

Read the following passage and answer the questions:

A Lichen is a composite organism that arises from algae living among filaments of multiple fungi in a symbiotic relationship. The combined lichen has properties different from those of its component organisms. Lichens come in many colours, sizes, and forms. The properties are sometimes plant like, but lichens are not plants. Lichens may have tiny leafless branches, flat leaflike structures or flakes that lie on the surface like peeling paint or other growth forms.

Lichens occur from sea level to high alpine elevations, in many environmental conditions and can grow on almost any surface. Different kinds of lichens have adopted to survive in some of the most extreme environment on earth such as Arctic, Tundra, hot dry deserts, rocky coasts, and toxic slag heaps. They can even live inside solid rocks, growing between the grains.

It is estimated that 6% of the earth’s land surface is covered by lichens. Some of them are considered to be the oldest living things. They are among the first living things to grow on fresh rock exposed after an event such as a land slide. The long-life span and slow but regular growth rate of some lichens can be used to date events.

The passage states all the following about Lichens EXCEPT

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Solution

Qus : 75NIMCET PYQ 2020?view=year

Read the following passage and answer the questions:

The passage aims at the view…….

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 76NIMCET PYQ 2020?view=year

Read the following passage and answer the questions:

Choose the one which best expresses the meaning of the word FLAKES:

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 77NIMCET PYQ 2020?view=year

Read the following passage and answer the questions:

Identify the one word opposite to SPAN in meaning:

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Solution

Qus : 78NIMCET PYQ 2020?view=year

, then the values of n and r are:

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 79NIMCET PYQ 2020?view=year

In a class of 50 students, it was found that 30 students read "Hitava", 35 students read "Hindustan" and 10 read neither. How many students read both: "Hitavad" and "Hindustan" newspapers?

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Solution

P(x)=50,

P(A ∩ B)' = 10

So P(A ∪ B) = 50 - 10 = 40.

So P(A ∩ B) = P(A) + P(B) - P(A ∪ B)

= 30 + 35 - 40 = 25

Solution Contribution by Priyanka Soni

Qus : 80NIMCET PYQ 2020?view=year

If A = {4^x - 3x - 1 : x ∈ N} and B = {9(x - 1) : x ∈ N}, where N is the set of natural numbers, then

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

A = {0,9,54...}

B = {0,9,18,27...}

So, A ⊂ B

Qus : 81NIMCET PYQ 2020?view=year

If A = { x, y, z }, then the number of subsets in powerset of A is

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Solution

Qus : 82NIMCET PYQ 2020?view=year

How many words can be formed starting with letter D taking all letters from the word DELHI so that the letters are not repeated:

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 83NIMCET PYQ 2020?view=year

Naresh has 10 friends, and he wants to invite 6 of them to a party. How many times will 3 particular friends never attend the party?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

^(10-3)C₆= ⁷C₆ = 7

Qus : 84NIMCET PYQ 2020?view=year

There is a young boy’s birthday party in which 3 friends have attended. The mother has arranged 10 games where a prize is awarded for a winning game. The prizes are identical. If each of the 4 children receives at least one prize, then how many distributions of prizes are possible?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 85NIMCET PYQ 2020?view=year

Three cities A, B, C are equidistant from each other. A motorist travels from A to B at 30km/hour, from B to C at 40km/hour, and from C to A at 50km/hour. Then the average speed is

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Let distance is x ,

time t1=x/30,

t2=x/40 and

t3=x/50.

From question same distance so total distance = 3x

total time = x/30+x/40+x/50

Average speed = total distance/ total time =3x/(x/30+x/40+x/50)= 1800/47=38.3km/h.

Solution Contribution by Priyanka Soni

Qus : 86NIMCET PYQ 2020?view=year

A problem in Mathematics is given to 3 students A, B, and C. If the probability of A solving the problem is 1/2 and B not solving it is 1/4 . The whole probability of the problem being solved is 63/64 , then what is the probability of solving it by C?

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Solution

Qus : 87NIMCET PYQ 2020?view=year

A and B play a game where each is asked to select a number from 1 to 25. If the two numbers match, both win a prize. The probability that they will not win a prize in a single trial is

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Probability of winning a prize = $\frac{1}{25}$
Thus, probability of not winning = $1-\frac{1}{25}=\frac{24}{25}$

Qus : 88NIMCET PYQ 2020?view=year

A, B, C are three sets of values of x:

A: 2,3,7,1,3,2,3

B: 7,5,9,12,5,3,8

C: 4,4,11,7,2,3,4

Select the correct statement among the following:

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

A: 2, 3, 7, 1, 3, 2, 3

Increasing Order : A: 1, 2, 2, 3, 3, 3, 7

Mode = 3 (occurs maximum number of times)

Median = 3 (the middle term)

Mean =$\frac{(1+2+2+3+3+3+7)}{7}$

$=\frac{21}{7} = 3$

Hence. Mean=Median=Mode

Qus : 89NIMCET PYQ 2020?view=year

Standard deviation for the following distribution is

Size of item	6	7	8	9	10	11	12
Frequency	3	6	9	13	8	5	4

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Total number of items in the distribution = Σ f_i = 3 + 6 + 9 + 13 + 8 + 5 + 4 = 48.

The Mean (x̅) of the given set = $\rm \dfrac{\sum f_i x_i}{\sum f_i}$.

⇒ x̅ = $\rm \dfrac{6\times3+7\times6+8\times9+9\times13+10\times8+11\times5+12\times4}{48}=\dfrac{432}{48}$ = 9.

Let's calculate the variance using the formula: $\rm \sigma^2 =\dfrac{\sum x_i^2}{n}-\bar x^2$.

$\rm \dfrac{\sum {x_i}^2}{n}=\dfrac{6^2\times3+7^2\times6+8^2\times9+9^2\times13+10^2\times8+11^2\times5+12^2\times4}{48}=\dfrac{4012}{48}$ = 83.58.

∴ σ² = 83.58 - 9² = 83.58 - 81 = 2.58.

And, Standard Deviation (σ) = $\rm \sqrt{\sigma^2}=\sqrt{Variance}=\sqrt{2.58}$ ≈ 1.607.

Qus : 90NIMCET PYQ 2020?view=year

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Solution

Qus : 91NIMCET PYQ 2020?view=year

Roots of equation are $ax^2-2bx+c=0$ are n and m , then the value of $\frac{b}{an^2+c}+\frac{b}{am^2+c}$ is

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Solution

Qus : 92NIMCET PYQ 2020?view=year

The number of values of k for which the linear equations

4x + ky + z = 0

kx + 4y + z = 0

2x + 2y + z = 0

posses a non-zero solution is

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Since, equation has non-zero solution.
Δ = 0

Qus : 93NIMCET PYQ 2020?view=year

Let A = (a_ij) and B = (b_ij) be two square matricesof order n and det(A) denotes the determinant of A. Then, which of the following is not correct.

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 94NIMCET PYQ 2020?view=year

The tangent to an ellipse x² + 16y² = 16 and making angel 60° with X-axis is:

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 95NIMCET PYQ 2020?view=year

Find the number of point(s) of intersection of the ellipse

and the circle x² + y² = 4

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 96NIMCET PYQ 2020?view=year

An arithmetic progression has 3 as its first term. Also, the sum of the first 8 terms is twice the sum of the first 5 terms. Then what is the common difference?

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 97NIMCET PYQ 2020?view=year

If a + b + c = 0, then the value of

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 98NIMCET PYQ 2020?view=year

Find

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 99NIMCET PYQ 2020?view=year

, then x = 0 is

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 100NIMCET PYQ 2020?view=year

is a continuous function at x = 0, then the value of k is

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 101NIMCET PYQ 2020?view=year

Find the interval(s) on which the graph y=2x³e^x isincreasing

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 102NIMCET PYQ 2020?view=year

then value of k is

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 103NIMCET PYQ 2020?view=year

Evaluate

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Solution

Qus : 104NIMCET PYQ 2020?view=year

where n is a positive integer, then the relation between I_n and I_n-1 is

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Solution

Qus : 105NIMCET PYQ 2020?view=year

The value of

depends on the

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Solution

Qus : 106NIMCET PYQ 2020?view=year

Find the area bounded by the line y = 3 - x, the parabola y = x² - 9 and

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 107NIMCET PYQ 2020?view=year

are three non-coplanar vectors, then

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Solution

Qus : 108NIMCET PYQ 2020?view=year

Two forces F₁ and F₂ are used to pull a car, which met an accident. The angle between the two forces is θ . Find the values of θ for which the resultant force is equal to

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 109NIMCET PYQ 2020?view=year

are four vectors such that

is collinear with

and

is collinear with

then

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 110NIMCET PYQ 2020?view=year

Forces of magnitude 5, 3, 1 units act in the directions 6i + 2j + 3k, 3i - 2j + 6k, 2i - 3j - 6k respectively on a particle which is displaced from the point (2, −1, −3) to (5, −1, 1). The total work done by the force is

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Solution

Qus : 111NIMCET PYQ 2020?view=year

The position vectors of points A and B are

and

. Then the position vector of point p dividing AB in the ratio m : n is

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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

Qus : 112NIMCET PYQ 2020?view=year

If a, b, c are three non-zero vectors with no two of which are collinear, a + 2b is collinear with c and b + 3c is collinear with a , then | a + 2b + 6c | will be equal to

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