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Arithmetic Reasoning — JEE Main & Advanced Logical Reasoning PYQs

40 previous year questions from Arithmetic Reasoning with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

40 questionsLogical ReasoningSolutions on every page
1

A straight line is 36   cm long. Points are to be marked on the line from both the ends so that the first point is at a distance of 1   cm from one end, the second point

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2

Directions - The following pie chart shows the expenditure (in percentage) of five companies P, Q. R. S and T in the year 2016. Total Expenditure = R s .   48 crores What was

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3

The sum of present ages of 3 persons is 72 yrs. Seven years ago, their ages were in the ratio (4: 6: 7 ). What are their present ages in years?

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4

There are some cows, bulls, and 45 hens in a group. One caretaker looks after 15 animals. The number of bulls is twice the number of cows. If the number of the head is less than th

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5

A is half as old as B .   C is twice as old as B . How many times is C as old as A ?

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6

A is 4 times as heavy as B. B is half the weight of C. C is 2 . 5 times as heavy as D. D is one fourth the weight of E. Who is the heaviest?

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7

The average of nine numbers is 60, that of the first five numbers is 55 and the next three is 65. The ninth number is 10 less than the tenth number. Then, tenth number is -

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8

Estimates based on cluster samples are usually more reliable:

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9

Six boys A, B, C, D, E and F play a game of Cards. Each has a pack of 10 Cards. F borrows 2 Cards from A, and gives away 5 to C who in his teams gives 3 to B, while B gives 6 to D

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10

DIRECTIONS : Questions are based on the graphs given below in which trends in decadal growth of population of India and some selected states are shown from 1901 to 1981. The states

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11

When there is a big gap between the item at the two ends, which type of diagram is useful and meaningful:

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12

Read the following graph carefully and answer the question given below: Ratio of import and export of a company in different years If import and export are increased by 20 % and 10

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13

The average age of 25 sub-oridinates in an office is 30 years. If the age of Manager is added, the average increases to 31 years. What is the age of the Manager?

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14

The batting average for 27 innings of a cricket player is 47 runs. His highest score in an innings exceeds his lowest score by 157 runs. If these two innings are excluded, the aver

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15

An elevator has a capacity of 12 adults or 20 children. How many adults can board the elevator with 15 children?

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16

An enterprising businessman earns an income of ₹ 1 on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the prev

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17

To succeed in a competition, Jermilin requires an average score of 75 in four exams. His score in the first three exams is 78, 74 and 70. How many scores should he get in the fourt

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18

The average weight of P and his three friends is 55 kg. If P is 4 kg more than the average weight of his three friends, what is P's weight (in kg)?

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19

The pie chart given below shows the expenditure (in percentage) of Mahesh. The monthly income of Mahesh is ₹ 26000 . If he invests 65 % of his savings on purchasing gold, the

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20

What is the value of 25 % of 4 9 of 5 times of 27 ?

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21

The following pie chart shows the expenditure (in percentage) of five companies P, Q, R, S and T in the year 2016. Total Expenditure = R s .   48 crores By how much percent ex

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22

Seven years from now, Anamika will be as old as Malini was 4 years ago. Srinidhi was born 2 years ago. The average age of Anamika, Malini and Srinidhi 10 years from now will be 33

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23

During the last four years a doctor has shown annual growth of his income as given below Year 2010 2011 2012 2013 Income (in thousands) 10 12.5 17.5 25 What would be his income gro

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24

A is 3 years younger than C but one year older than   D . D is one year older than B but 4 years younger than C .   C is 15 years old. What is the age of B ?

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25

Direction: This question is based on the table and diagram of population growth. The decadal growth rate between 1922 and 1932 is:

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26

Ages of father and son add up to 50. Six years back father's age was 6 more than thrice his son's age. What will be the father's age 6 years hence?

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27

T is 5 years older than U. U is 8 years younger than V. V is 3 years older than W. W is 9 years younger than X. Which of the following have same age?

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28

Amita's father was 38 years old when she was born, while her mother was 36 years old when her brother was born who was four years younger than her. What is the difference between t

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29

Mr. Star was a consistent batsman throughout his career. He played 80 innings before he retired. Had he scored 10 runs in his last innings, his average would have been 50. However,

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30

Six boys A, B, C, D, E, and F play a game of Cards. Each has a pack of 10 Cards. F borrows 2 Cards from A, and gives away 5 to C, who gives 3 to B, while B gives 6 to D, who passes

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31

Read the following graph carefully and answer the question given below: Ratio of import and export of a company in different years If the export was ₹ 500000 in 2004 , what w

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32

Weight of A is twice that of B . Weight of B is half that of C . Weight of C is 3 times that of E . Weight of E is half that of D . Who is the heaviest?

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33

Study the given graph and answer the following questions. An International agency surveyed the performance of cars. The Points are given on the basis of the following features The

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34

A man wears socks of two colours - black and brown. He has altogether 20 brown socks in a drawer. Supposing he has to take out the socks in the dark, how many must he take out to b

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35

A, B, C, D and E play a game of cards. A says to B, “If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has.

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36

A student creates a table to show the relationship between the side length of a square and its area. Which of the graphs below best represents this relationship?

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37

The bar graph given below shows the sales of books (in a thousand number) from six branches of a publishing company during two consecutive years 2000 and 2001 . Sales of Books (in

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38

From the graph, find which school has the maximum number of students and how much?

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39

Find out the number of people who do not play any game?

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40

The average age of a group of 25 boys is 17 years. If one boy leaves the group, the average age becomes 17.2 years. What is the age of the boy who left the group?

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