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## NIMCET Previous Year Questions (PYQs)

#### NIMCET Logical Ability And Logical Reasoning PYQ

NIMCET PYQ
If TRANSFER is coded as RTNAFSRE, the ELEPHANT would be coded as

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Pattern is

NIMCET PYQ
Which two of the following numbers comes in the next in the following sequence.
61, 57, 50, 61, 43, 36, 61, ………

NIMCET Previous Year PYQNIMCET NIMCET 2017 PYQ

#### Solution

The given series is: 61,57 --- ( -7 )----> 50,61, 43 ---(-7)----> 36, 61, 29 ----(-7)----->22
Thus, following the same pattern next two terms will be 29 and 22.

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

NIMCET Previous Year PYQNIMCET NIMCET 2017 PYQ

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By painting, opposite, sides with same colour, we can paint all the sides of a cube without the adjacent sides having the same colour i.e. 6/2 = 3

NIMCET PYQ
In the following sequence, which pair of numbers fill in the blanks?
1, 1, 3, 2, 8, 5, 21, 13

NIMCET Previous Year PYQNIMCET NIMCET 2017 PYQ

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The Fibonacci Sequence is the series of numbers:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55

NIMCET PYQ
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 PYQ
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 PYQ
• P$Q – P is not smaller than Q • P#Q – P is neither greater than nor equal to Q. • P@Q – P is neither smaller than nor equal to Q. • P%Q – P is not greater than Q • P*Q – P is neither greater than nor smaller than Q. Statements: K # L, L % M, M * N, N # O • Conclusions: I. K # M II. K * M III. L % O NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ #### Solution NIMCET PYQ Study the following arrangement carefully and answer the question given below: W 1 R % 4 J E # 7 M T 2 I 9 B H 3 A$ 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 PYQ
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 PYQ
If in a certain language, ITNIETAM is the code for INTIMATE, which word has the code TREVNIETARBI?

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NIMCET PYQ
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 PYQ
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 PYQ
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 PYQ
Find out the wrong number in the following number series:
56, 58, 62, 70, 84, 118, 182

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NIMCET PYQ
Find out the missing number:

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NIMCET PYQ
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 PYQ
Find the missing number

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NIMCET PYQ
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 PYQ
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 PYQ
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 PYQ
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.
How many members of the group are males?

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

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#### 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

NIMCET PYQ
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 PYQ
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.
Who likes writing?

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

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137+276=435 (in base 8)
Hence, 731+672=6123

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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NIMCET PYQ
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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#### 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

NIMCET PYQ
Angles of elevation of the top of a tower from three 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 PYQ
Today is Wednesday. What would be the day after 61 days?

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NIMCET PYQ
Identify the fifth number in the series: 122, 144, 166, 188, ?

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NIMCET PYQ
Which of the following is the odd one from the given alternatives?

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NIMCET PYQ
Fill in the blank:
HEC, JGE, LIG, NKI, ______

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NIMCET PYQ
Choose the word opposite in meaning to the given word: MITIGATE

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NIMCET PYQ
DNN, FQQ, HTT, ______, LZZ

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NIMCET PYQ
Select the pair of words, which are related in the same way as the capitalized words are related to each other.
BUTTERFLY : FREEDOM

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NIMCET PYQ
Select the pair of words, which are related in the same way as the capitalized words are related to each other.
FRUGAL : EXTRAVAGANT

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NIMCET PYQ
In the following figure, find the total number of squares.

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NIMCET PYQ
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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#### 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

NIMCET PYQ
Deepak, Rahul, Manoj, and Vinod are brothers. Who is the heaviest?
1. Rahul is heavier than Deepak and Vinod, but lighter than Manoj.
2. Deepak is lighter than Rahul and Manoj, but heavier than Vinod.

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NIMCET PYQ
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 PYQ
Which of the following diagrams correctly represents lions, elephants, and animals?

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Lions, Elephants, and Animals
Lions and Elephants are different animals.

NIMCET PYQ
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 PYQ
Replace the question mark with an appropriate image to complete the analogous pair.

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NIMCET PYQ
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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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

NIMCET PYQ
Fill in the blank:
JAK, KBL, LCM, MDN, _____

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

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Required number
= H.C.F. of (1657 - 6) and (2037 - 5)
= H.C.F. of 1651 and 2032 = 127.

NIMCET PYQ
Find the synonym that is most nearly similar in meaning to the word:
DEBACLE

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NIMCET PYQ
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 PYQ
If in a certain language, KOLKOTA is coded as LPMLPUB, how is MUMBAI coded in that
code?

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

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NIMCET PYQ
Select the related word from the given alternatives.
MELT : LIQUID : : FREEZE : ?

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

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NIMCET PYQ
Looking at the portrait of a man, Manu said, "Her mother is the wife of my father's son and I have no brother and sister." Whose portrait was Manu looking at?

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NIMCET PYQ
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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#### 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.

NIMCET PYQ
Identify the sixth number in the series:
6, 11, 21, 36, 56, ?

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NIMCET PYQ
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 PYQ
U, V, W, X and T are sitting on a bench. T is sitting next to U, V is sitting next to W, W is not sitting with X who is on the left end of the bench. V is in the second position from the right. T is to the right of U and X. T and V are sitting together. In which position T is sitting?

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NIMCET PYQ
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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NIMCET PYQ
Statements:
No women teacher can play.
Some women teachers are athletes.
Conclusions:
I. Male athletes can play.
II. Some athletes can play.

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

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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

NIMCET PYQ
Statements:
All mangoes are golden in colour.
No golden-coloured things are cheap.
Conclusions:
I. All mangoes are cheap.
II. Golden-coloured mangoes are not cheap.

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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
Statements:
All young scientists are open-minded.
No open-minded men are superstitious.
Conclusions:
I. No scientist is superstitious.
II. No young people are superstitious.

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

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NIMCET PYQ
Six books are labelled A, B, C, D, E and F and are placed side by side. Books B, C, E and F have green covers while others have yellow covers. Books A, B and D are new while the rest are old volumes. Books A, B and C are law reports while the rest are medical extracts. Which two books are old medical extracts and have green covers?

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NIMCET PYQ
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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#### 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.

NIMCET PYQ
Find out the wrong number in the FOLLOWING series.
2, 5, 10, 17, 26, 38, 50, 65

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NIMCET PYQ
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 PYQ
Find out the wrong number in the FOLLOWING series.
30, −5, −45, −90, −145, −195, −255

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NIMCET PYQ
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 PYQ
The following questions are based on the pie charts given below.
Percentage-wise distribution of students studying in Arts and Commerce in seven
different institutions – A, B, C, D, E, F, and G.

What is the total number of students studying Arts in Institutes A and G together?

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#### Solution

NIMCET PYQ
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?

NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

#### Solution

NIMCET PYQ
The following questions are based on the pie charts given below.
Percentage-wise distribution of students studying in Arts and Commerce in seven
different institutions – A, B, C, D, E, F, and G.