NIMCET Logical Ability and Logical Reasoning Previous Year Question Paper and Solution with PDF

Solution

Qus : 6NIMCET 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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Solution

Qus : 7NIMCET PYQ

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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Solution

Qus : 8NIMCET PYQ

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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Solution

Qus : 9NIMCET PYQ

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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Solution

Qus : 10NIMCET PYQ

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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Solution

Qus : 11NIMCET PYQ

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

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Solution

Qus : 12NIMCET PYQ

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 : 13NIMCET PYQ

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

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Solution

Qus : 14NIMCET PYQ

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

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Solution

Qus : 15NIMCET PYQ

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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Solution

Qus : 16NIMCET PYQ

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 : 17NIMCET PYQ

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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Solution

Qus : 18NIMCET PYQ

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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Solution

Qus : 19NIMCET PYQ

Which of the four options should fill the missing cell?

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Solution

Qus : 20NIMCET PYQ

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 : 21NIMCET 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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Solution

Qus : 22NIMCET 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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Solution

Qus : 23NIMCET PYQ

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

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Solution

Qus : 24NIMCET 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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Solution

Qus : 25NIMCET 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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Solution

Qus : 26NIMCET 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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Solution

Qus : 27NIMCET PYQ

Find out the wrong number in the following number series:

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

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Solution

Qus : 28NIMCET PYQ

Find out the missing number:

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Qus : 29NIMCET 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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Solution

Qus : 30NIMCET PYQ

Find the missing number

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Solution

Qus : 31NIMCET 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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Solution

Qus : 32NIMCET 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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Solution

Qus : 33NIMCET 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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Solution

Qus : 34NIMCET PYQ

How many members of the group are males?

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Solution

Qus : 35NIMCET 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

Qus : 36NIMCET 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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Solution

Qus : 37NIMCET PYQ

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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Solution

Qus : 38NIMCET 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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Solution

Qus : 39NIMCET PYQ

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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Solution

Qus : 40NIMCET 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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Solution

Qus : 41NIMCET PYQ

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

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Solution

137+276=435 (in base 8)

Hence, 731+672=6123

Qus : 42NIMCET 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

Qus : 43NIMCET 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

Qus : 44NIMCET 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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Solution

Qus : 45NIMCET PYQ

Today is Wednesday. What would be the day after 61 days?

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Solution

Qus : 46NIMCET PYQ

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

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Solution

Qus : 47NIMCET PYQ

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

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Solution

Qus : 48NIMCET PYQ

Fill in the blank:

HEC, JGE, LIG, NKI, ______

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Qus : 49NIMCET PYQ

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

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Qus : 50NIMCET PYQ

DNN, FQQ, HTT, ______, LZZ

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Qus : 51NIMCET 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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Qus : 52NIMCET 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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Solution

Qus : 53NIMCET PYQ

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

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Solution

Qus : 54NIMCET 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

Qus : 55NIMCET PYQ

Deepak, Rahul, Manoj, and Vinod are brothers. Who is the heaviest?

Rahul is heavier than Deepak and Vinod, but lighter than Manoj.
Deepak is lighter than Rahul and Manoj, but heavier than Vinod.

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Solution

Qus : 56NIMCET 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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Solution

Qus : 57NIMCET PYQ

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

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Solution

Lions, Elephants, and Animals

Lions and Elephants are different animals.

Qus : 58NIMCET 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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Solution

Qus : 59NIMCET PYQ

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

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Solution

Qus : 60NIMCET 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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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 : 61NIMCET PYQ

Fill in the blank:

JAK, KBL, LCM, MDN, _____

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Solution

Qus : 62NIMCET PYQ

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

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Solution

Required number

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

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

Qus : 63NIMCET PYQ

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

DEBACLE

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Solution

Qus : 64NIMCET 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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Solution

Qus : 65NIMCET PYQ

If in a certain language, KOLKOTA is coded as LPMLPUB, how is MUMBAI coded in that

code?

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Solution

Qus : 66NIMCET PYQ

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

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Solution

Qus : 67NIMCET PYQ

Select the related word from the given alternatives.

MELT : LIQUID : : FREEZE : ?

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Solution

Qus : 68NIMCET PYQ

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

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Solution

Qus : 69NIMCET 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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Solution

Qus : 70NIMCET 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.

Qus : 71NIMCET PYQ

Identify the sixth number in the series:

6, 11, 21, 36, 56, ?

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Solution

Qus : 72NIMCET 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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Solution

Qus : 73NIMCET 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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Solution

Qus : 74NIMCET 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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Solution

Qus : 75NIMCET 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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Solution

Qus : 76NIMCET PYQ

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

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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 : 77NIMCET 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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Solution

Qus : 78NIMCET 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)

Qus : 79NIMCET 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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Solution

Qus : 80NIMCET PYQ

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

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Solution

Qus : 81NIMCET 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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Solution

Qus : 82NIMCET 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.

Qus : 83NIMCET PYQ

Find out the wrong number in the FOLLOWING series.

2, 5, 10, 17, 26, 38, 50, 65

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Solution

Qus : 84NIMCET 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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Solution

Qus : 85NIMCET PYQ

Find out the wrong number in the FOLLOWING series.

30, −5, −45, −90, −145, −195, −255

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Solution

Qus : 86NIMCET 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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Solution

Qus : 87NIMCET 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

Qus : 88NIMCET 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?

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