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## NIMCET Previous Year Questions (PYQs)

#### NIMCET Analytical Puzzle PYQ

NIMCET PYQ
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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#### Solution

NIMCET PYQ
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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#### Solution

NIMCET PYQ
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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#### 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)

NIMCET PYQ
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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#### Solution

NIMCET PYQ
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?

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

NIMCET PYQ
Two persons S and M have made the following statements among themselves.
S says that I am certainly not over 40 years.
M says that I am 38 years and you are at least 5 year old than me.
S says you are at least 39 years.
If all the above statements are wrong, what are the ages of M and S?

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#### Solution

NIMCET PYQ
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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### Let nf be number of families, ng be number of girls, nb be number of boys and na be 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,  na > nb > ng > nf  ..........................(1)we check the above relation (1) with different values for number of families, starting with nf = 1Let nf = 1 , then nb + ng = 3  , if ng =2 then nb = 1 . But number of boys is greater than number of girls.due to this contradiction, nf ≠ 1Let nf = 2 , then nb + ng = 6  , if ng =3 then nb = 3 . But number of boys is greater than number of girls.due to this contradiction, nf ≠ 2 Let nf = 3 , then nb + ng = 9  , if ng =4 then nb = 5 . number of adults na = 6. hence the relation na > nb > ng > nf  is satisfied for the above numbers,  6>5>4>3hence minimum number of families is 3

NIMCET PYQ
caterpillar crawls up a pole of 75 inches high standing from the ground. Each day is crawls up 5 inches and each night it slides down 4 inches. When will it reach the top of the pole?

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