# Arithmetic Reasoning MCQ Questions & Answers

Arithmetic Reasoning MCQs : This section focuses on the "Arithmetic Reasoning". These Multiple Choice Questions (MCQs) should be practiced to improve the Arithmetic Reasoning skills required for various interviews (campus interview, walk-in interview, company interview), placement, entrance exam and other competitive examinations.

Question 1

The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago ?

A. 71 years
B. 72 years
C. 74 years
D. 77 years

Question 2

Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?

A. Rs. 4, Rs. 23
B. Rs. 13, Rs. 17
C. Rs. 15, Rs. 14
D. Rs. 17, Rs. 13

Question 3

An institute organised a fete and 1/5 of the girls and 1/8 of the boys participated in the same. What fraction of the total number of students took part in the fete ?

A. 2/13
B. 13/40
D. None of these

Question 4

A number of friends decided to go on a picnic and planned to spend Rs. 96 on eatables. Four of them, however, did not turn up. As a consequence, the remaining ones had to contribute Rs. 4 each extra. The number of those who attended the picnic was

A. 8
B. 12
C. 16
D. 24

Question 5

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." A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards be 133, how many cards does B have ?

A. 22
B. 23
C. 25
D. 35

Question 6

A pineapple costs Rs. 7 each. A watermelon costs Rs. 5 each. X spends Rs. 38 on these fruits. The number of pineapples purchased is

A. 2
B. 3
C. 4

Question 7

A woman says, "If you reverse my own age, the figures represent my husband's age. He is, of course, senior to me and the difference between our ages is one-eleventh of their sum." The woman's age is

A. 23 years
B. 34 years
C. 45 years
D. None of these

Question 8

A girl counted in the following way on the fingers of her left hand : She started by calling the thumb 1, the index finger 2, middle finger 3, ring finger 4, little finger 5 and then reversed direction calling the ring finger 6, middle finger 7 and so on. She counted upto 1994. She ended counting on which finger ?

A. Thumb
B. Index finger
C. Middle finger
D. Ring finger

Question 9

A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?

A. 45
B. 60
C. 75
D. 90

Question 10

What is the product of all the numbers in the dial of a telephone ?

A. 1,58,480
B. 1,59,450
C. 1,59,480
D. None of these

Question 11

A is 3 years older to B and 3 years younger to C, while B and D are twins. How many years older is C to D?

A. 2
B. 3
C. 6
D. 12

Question 12

The 30 members of a club decided to play a badminton singles tournament. Every time a member loses a game he is out of the tournament. There are no ties. What is the minimum number of matches that must be played to determine the winner ?

A. 15
B. 29
C. 61
D. None of these

Question 13

In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. The length of the garden is

A. 20 m
B. 22 m
C. 24 m
D. 26 m

Question 14

12 year old Manick is three times as old as his brother Rahul. How old will Manick be when he is twice as old as Rahul ?

A. 14 years
B. 16 years
C. 18 years
D. 20 years

Question 15

A tailor had a number of shirt pieces to cut from a roll of fabric. He cut each roll of equal length into 10 pieces. He cut at the rate of 45 cuts a minute. How many rolls would be cut in 24 minutes ?

A. 32 rolls
B. 54 rolls
C. 108 rolls
D. 120 rolls

Question 16

In a class of 60 students, the number of boys and girls participating in the annual sports is in the ratio 3 : 2 respectively. The number of girls not participating in the sports is 5 more than the number of boys not participating in the sports. If the number of boys participating in the sports is 15, then how many girls are there in the class ?

A. 20
B. 25
C. 30
D. None of these

Question 17

There are deer and peacocks in a zoo. By counting heads they are 80. The number of their legs is 200. How many peacocks are there ?

A. 20
B. 30
C. 50
D. 60

Question 18

A man wears socks of two colours - Black and brown. He has altogether 20 black socks and 20 brown socks in a drawer. Supposing he has to take out the socks in the dark, how many must he take out to be sure that he has a matching pair ?

A. 3
B. 29
C. 39
D. None of these

Question 19

A motorist knows four different routes from Bristol to Birmingham. From Birmingham to Sheffield he knows three different routes and from Sheffield to Carlisle he knows two different routes. How many routes does he know from Bristol to Carlisle ?

A. 4
B. 8
C. 12
D. 24

Question 20

Mac has £ 3 more than Ken, but then Ken wins on the horses and trebles his money, so that he now has £ 2 more than the original amount of money that the two boys had between them. How much money did Mac and Ken have between them before Ken's win ?

A. £ 9
B. £ 11
C. £ 13
D. £ 15

Question 21

In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class ?

A. 6
B. 12
C. 18
D. 24

Question 22

A father is now three times as old as his son. Five years back, he was four times as old as his son. The age of the son (in years) is

A. 12
B. 15
C. 18
D. 20

Question 23

A waiter's salary consists of his salary and tips. During one week his tips were 5/4 of his salary. What fraction of his income came from tips ?

A. 4/9
B. 5/4
C. 5/8
D. 5/9

Question 24

If you write down all the numbers from 1 to 100, then how many times do you write 3 ?

A. 11
B. 18
C. 20
D. 21

Question 25

If 100 cats kill 100 mice in 100 days, then 4 cats would kill 4 mice in how many days ?

A. 1 day
B. 4 day
C. 40 day
D. 100 day

Question 26

An institute organised a fete and 1/5 of the girls and 1/8 of the boys participated in the same. What fraction of the total number of students took part in the fete ?

A. 2-13
B. 13/40
D. None of these

Question 27

A man wears socks of two colours - Black and brown. He has altogether 20 black socks and 20 brown socks in a drawer. Supposing he has to take out the socks in the dark, how many must he take out to be sure that he has a matching pair ?

A. 3
B. 20
C. 39
D. None of these

Question 28

A waiter's salary consists of his salary and tips. During one week his tips were 5/4 of his salary. What fraction of his income came from tips ?

A. 4-9
B. 5-4
C. 5-8
D. 5-9

Question 29

If 100 cats kill 100 mice in 100 days, then 4 cats would kill 4 mice in how many days ?

A. 1 day
B. 4 days
C. 40 days
D. 100 days

Question 30

Five bells begin to toll together and toll respectively at intervals of 6, 5, 7, 10 and 12 seconds. How many times will they toll together in one hour excluding the one at the start ?

A. 7 times
B. 8 times
C. 9 times
D. 11 times

Question 31

A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 10 men leave the bus and five women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus ?

A. 15
B. 30
C. 36
D. 45

Question 32

A farmer built a fence around his square plot. He used 27 fence poles on each side of the square. How many poles did he need altogether ?

A. 100
B. 104
C. 108
D. None of these

Question 33

In a city, 40% of the adults are illiterate while 85% 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 ?

A. 20%
B. 25%
C. 50%
D. 75%

Question 34

A is three times as old as B. C was twice-as old as A four years ago. In four years' time, A will be 31. What are the present ages of B and C ?

A. 9, 46
B. 9, 50
C. 10, 46
D. 10, 50

Question 35

A bird shooter was asked how many birds he had in the bag. He replied that there were all sparrows but six, all pigeons but six, and all ducks but six. How many birds he had in the bag in all?

A. 9
B. 18
C. 27
D. 36

Question 36

Mr. Johnson was to earn £ 300 and a free holiday for seven weeks' work. He worked for only 4 weeks and earned £ 30 and a free holiday. What was the value of the holiday?

A. £ 300
B. £ 330
C. £ 360
D. £ 420

Question 37

Three friends had dinner at a restaurant. When the bill was received, Amita paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Tanya paid. What fraction of the bill did Veena pay ?

A. 1-3
B. 3-11
C. 12-13
D. 5-8

Question 38

In a class, 20% of the members own only two cars each, 40% of the remaining own three cars each and the remaining members own only one car each. Which of the following statements is definitely true from the given statements ?

A. Only 20% of the total members own three cars each.
B. 48% of the total members own only one car each.
C. 60% of the total members own at least two cars each.
D. 80% of the total members own at least one car.

Question 39

When Rahul was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Rahul's brother is 6 years older than him and his mother is 3 years younger than his father, how old was Rahul's sister when he was born ?

A. 7 years
B. 10 years
C. 14 years
D. 19 years

Question 40

A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 70, how many horses are there ?

A. 10
B. 12
C. 14
D. 16

Question 41

The number of boys in a class is three times the number of girls. Which one of the following numbers cannot represent the total number of children in the class ?

A. 48
B. 44
C. 42
D. 40

Question 42

A shepherd had 17 sheep. All but nine died. How many was he left with ?

A. Nil
B. 8
C. 9
D. 17

Question 43

In a family, the father took 1/4 of the cake and he had 3 times as much as each of the other members had. The total number of family members is

A. 3
B. 7
C. 10
D. 12

Question 44

In a cricket match, five batsmen A, B, C, D and E scored an average of 36 runs. D Scored 5 more than E; E scored 8 fewer than A; B scored as many as D and E combined; and B and C scored 107 between them. How many runs did E score ?

A. 62
B. 45
C. 28
D. 20

Question 45

The total number of digits used in numbering the pages of a book having 366 pages is

A. 732
B. 990
C. 1098
D. 1305

Question 46

In a family, each daughter has the same number of brothers as she has sisters and each son has twice as many sisters as he has brothers. How many sons are there in the family ?

A. 2
B. 3
C. 4
D. 5

Question 47

At a dinner party every two guests used a bowl of rice between them, every three guests used a bowl of dal between them and every four used a bowl of meat between them. There were altogether 65 dishes. How many guests were present at the party ?

A. 60
B. 65
C. 90
D. None of these

Question 48

A student got twice as many sums wrong as he got right. If he attempted 48 sums in all, how many did he solve correctly ?

A. 12
B. 16
C. 18
D. 24

Question 49

I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am left with one sweet. If I keep 5 in a pack, I am left with none. What is the minimum number of sweets I have to pack and distribute ?

A. 25
B. 37
C. 54
D. 65

Question 50

If a clock takes seven seconds to strike seven, how long will it take to strike ten ?

A. 7 seconds
B. 9 seconds
C. 10 seconds
D. None of these

Question 51

In a group of cows and hens, the number of legs are 14 more than twice the number of heads. The number of cows is

A. 5
B. 7
C. 10
D. 12

Question 52

A father tells his son, "I was of your present age when you were born". If the father is 36 now, how old was the boy five years back ?

A. 13
B. 15
C. 17
D. 20

Question 53

A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed

A. 30 birds
B. 60 birds
C. 72 birds
D. 90 birds

Question 54

In a class, 3/5 of the students are girls and rest are boys. If 2/9 of the girls and 1/4 of the boys are absent, what part of the total number of students is present ?

A. 17/25
B. 18/49
C. 23/30
D. 23/36

Question 55

In a family, a couple has a son and a daughter. The age of the father is three times that of his daughter and the age of the son is half of that of his mother. The wife is 9 years younger to her husband and the brother is seven years older than his sister. What is the age of the mother ?

A. 40 years
B. 45 years
C. 50 years
D. 60 years

Question 56

If a 1 mm thick paper is folded so that the area is halved at every fold, then what would be the thickness of the pile after 50 folds ?

A. 100 km
B. 1000 km
C. 1 million km
D. 1 billion km

Question 57

First bunch of bananas has (1/4) again as many bananas as a second bunch. If the second bunch has 3 bananas less than the first bunch, then the number of bananas in the first bunch is

A. 9
B. 10
C. 12
D. 15

Question 58

Mr. X, a mathematician, defines a number as 'connected with 6 if it is divisible by 6 or if the sum of its digits is 6, or if 6 is one of the digits of the number. Other numbers are all 'not connected with 6'. As per this definition, the number of integers from 1 to 60 (both inclusive) which are not connected with 6 is

A. 18
B. 22
C. 42
D. 43

Question 59

Find the number which when added to itself 13 times, gives 112.

A. 7
B. 8
C. 9
D. 11

Question 60

Aruna cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is twenty grams in weight. If she has seven pieces of the cake in all with her, how heavy was the original cake ?

A. 120 grams
B. 140 grams
C. 240 grams
D. 280 grams

Question 61

A total of 324 coins of 20 paise and 25 paise make a sum of Rs. 71. The number of 25-paise coins is

A. 120
B. 124
C. 144
D. 200

Question 62

A player holds 13 cards of four suits, of which seven are black and six are red. There are twice as many diamonds as spades and twice as many hearts as diamonds. How many clubs does he hold ?

A. 4
B. 5
C. 6
D. 7

Question 63

The taxi charges in a city comprise of a fixed charge, together with the charge of the distance covered. For a journey of 16 km, the charges paid are Rs. 156 and for a journey of 24 km, the charges paid are Rs. 204. What will a person have to pay for travelling a distance of 30 km?

A. Rs. 236
B. Rs. 240
C. Rs. 248
D. Rs. 252

Question 64

If readymade shirts need alterations 2 out of 3 in sleeves, 3 out of 4 in collar and 4 out of 5 in the body, how many alterations will be required for 60 shirts ?

A. 88
B. 123
C. 133
D. 143

Question 65

At the end of a business conference the ten people present all shake hands with each other once. How many handshakes will there be altogether ?

A. 20
B. 45
C. 55
D. 90

Question 66

After distributing the sweets equally among 25 children, 8 sweets remain. Had the number of children been 28, 22 sweets would have been left after equal distribution. What was the total number of sweets ?

A. 328
B. 348
C. 358