ARITHMETIC REASONING

ARITHMETICAL REASONING 

1) Five children take part in a tournament. Which one has to play every other one. How many games must they play ?

A) 8 B) 10 C) 24 D) 30

2) In a certain office, 1/4 of the workers are women, 1/2 of the women are married and 1/3 of the married women have children. If 3/4 of the men are married and 2/3 of the married men have children, what part of the workers are without children ?

A) 5/18 B) 4/9 C) 11/18 D) 17/36

3) There are some benches in a classroom. If 4 students sit on the bench, then three benches are left unoccupied. However, if 3 students sit on each bench, 3 students are left standing. How many students are there in the class ?

A) 36 B) 48 C) 56 D) 64 

4) In an examination, a students scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts in all 60 questions and Secures 130 marks, the number of questions he attempts correctly, is

A) 35 B) 38 C) 40 D) 42 

5) A man has a certain number of the small boxes to pack into parcels. If he pack 3, 4, 5 or 6 in a parcel, he is left with one over, if he packs 7 in a parcel, none is left over. What is the number of boxes, he may have a to pack ?

A) 106 B) 301 C) 309 D) 400

6) A group consisting of 25 teachers, 20 engineers, 18 doctors and 12 salesman visited a fair and spent ₹1330 all together. it was found that 5 teachers spent as much as 4 engineers, 12 engineer spent as much as 9 doctors and 6 doctors spend as 8 salesman. If every person in a professional group spend the same amount, Find the amount spend by each engineers.

A) ₹14 B) 17.50 C) ₹18 D) ₹21

7) A,B,C and D play a game of cards. A says to B, "if I give you 8 cards, you will have as many as C has and I shall have 3 less than that what C has. Also if I take 6 cards from C. I shall have twice as many as D has. If B and D together have 50 cards, how many cards has C got ?

A) 40 B) 37 C) 27 D) 23 

8) At a farm, there are hens, cows and bullocks, and the keepers to look after them. There are 69 heads less than legs, the number of cows and hens is the same and there is one keeper per 10 birds and cattle. The total number of hens plus cows and bullocks, and their keepers does not exceed 50. How many cows are there ?

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

9) From a number of apples, a man sells half the number of existing apples plus 1 to the first customer, sells 1/3rd of the remaining apples plus 1 to the second customer and one-fifth of the remaining apples plus 1 to the third customer. He then finds that he has three apples left. How many apples did he have originally ?

A) 15 B) 18 C) 20 D) 25 

** The following questions are based on the given data for an examination :

a) candidates appeared- 10500

b) passed in all the five subjects - 5685.

c) passed in 3 subjects only- 1498

d) passed in two subjects only- 1250.

e) passed in one subject only-835.

f) failed in English only -78.

g) failed in maths only- 275.

h) failed in physics only-149.

i) failed in chemistry only -147.

j) failed in biology only-221

10) how many Candidates failed in all the subjects.

A) 4815 B) 3317 C) 2867 D) 362

11) How many candidates passed in atleast four subjects

A) 6555 B) 5685 C) 1705 D) 870

12) How many candidates failed because of having failed in four or less subjects?

A) 4815 B) 4453 C) 3618 D) 2368

13) Reena is twice as old as Sunita. 3 years ago, she was three times as old as Sunita. How old is Reena now ?

A) 6 years B) 7 years C) 8 years D) 12 years

14) The age of a father is twice that of the elder son. 10 years hence the age of the father will be three times that of the younger son. If the difference of Ages of the two sons is 15 years, the age of the father is:

A) 50 years B) 55 years C) 60 years D) 70 years

15) In a group of persons travelling in a bus, 6 person can speak French, 15 can speak Spanish and 6 can speak English. In that group, none can speak any other language. If two persons in the group can speak two languages and one person can speak all three languages, then how many persons are there in the group?

A) 21 B) 22 C) 23 D) 24

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

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

17) A bird shooter was asked how many birds he had in the bag. He replied that there were all sparrows but 6, 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 

18) What is the smallest number of ducks that could swim in this formation-- two ducks in front of a duck, two ducks behind a duck and a duck between two ducks?

A) 3 B) 5 C) 7 D) 9 

19) The 30 members of a club decided to play a badminton singles tournament. Every time s 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 

20) A man wears socks of two colours --black and brown. he is 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

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

A) 1508480 B) 159450 C) 159480 D) none

22) A group of 1200 persons consisting of captains and soldiers is travelling in a train. For every 15 soldiers there is one captain. The number of captains in the group is 

A) 85 B) 80 C) 75 D) 70

23) Aruna cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is 20 grams in weight. If she has 7 pieces of the cake in all with her, how heavy was the original cake?

A) 120 grams B) 140 grams C) 240 grams D) 250 grams

24) First bunch of bananas has one fourth again as many bananas as a second bunch. If the second bunch has 3 banana less than the first bunch, then the number of bananas in the first bunch is

A) 9 B) 10 C) 12 ad) 15

25) In a class of 60 students, the number of boys and girls participating in the sports is in the ratio 2:3 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) data inadequate

26) In a class, there are 18 boys who are over 160cm tall. If these constitute three fourths of the boys and the total number of boys is 2/3rd 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

27) A student got twice as many 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

28) 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

29) A placed three sheets with two carbons to get two extra copies of the original. Then he decided to get more carbon copies and folded the paper in such a way that the upper half of the sheets were on top of the lower half. Then he typed. How many Carbon Copies did he get?

A) 1 B) 2 C) 3 D) 4 

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

A) 4 B) 8 C) 12 D) 24 

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

A) 2 B) 3 C) 4 D) data inadequate

32) 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

33) The total number of digits used to numbering the pages of a book having 366 pages is

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

34) A printer number the pages of a book starting with one and uses 3189 digits in all. How many pages does the book have ?

A) 1000 B) 1074 C) 1075 D) 1080 

35) In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 m and a distance of 1 m is left from all sides of the boundary of the garden. The length of the garden is 

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

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

A) 100 B) 104 C) 108 D) none

37) An enterprising Businessman earns an income of ₹ one on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the previous day. In the 10th day of the business, his income is 

A) ₹2⁹ B)₹2¹⁰ C) ₹ 10 D) ₹10³

38) In a family, the father took 1/4 of the cake and he had three 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 

39) 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 

40) 3 friends had a dinner at a restaurant. When the bill was received. Amita paid 2/3 as much as Bina paid and Bina paid 1/2 as much as Tanya paid. What fraction of the bill did Bina pay ?

A) 1/3 B) 3/11 C) 12/31 D) 5/8 

41) An Institute organized a fest 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 fest?

A) 2/13 B) 13/40 C) data inadequate D) n

42) In a class, 3/5 of 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

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

A) 7 B) 8 C) 9 D) 12

44) A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips back to 20 feet before he agains starts climbing in the beginning of the next hour. If he begins his ascent 8:00 a.m., at what time will he first touch a flag at 120 feet from the ground ?

A) 4 p.m. B) 5p.m. C) 6 p.m D) n

45) 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%

46) A fires 5 shoots 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

47) If every 2 out of 3 readymade shirts need alteration in the sleeves, and every 4 out of 5 need it in the body, how many alteration will be required for 60 shirts?

A) 24 B) 123 C) 133 D) 143 

48) At a dinner party every two guests used in 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 was together 65 dishes. How many guests were present at the party ?

A) 60 B) 65 C) 90 D) n

49) 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 5 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

50) In a class of 20% members 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% 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% the total members own at least one car.

51) A number consists of two digits whose sum is 11. If 27 is added to the number, then the digits change their places. What is the number ?

A) 47 B) 65 C) 83 D) 92 

** Directions: Read the following Information to answer these questions:

Seven A, B, C, D, E, F and G are put in such a way that the distance between the next two decreases by 1 m. The distance between the first two pole A and B, is 10 metres.

52) What is the distance between first pole A and the last pole G ?

A) 40m B) 45m C) 49m D) n 

53) If a monkey hoos from pole G to pole C, then how much distance did it cover ?

A) 19m B) 22m C) 26m D) n 

54) If the authorities decide to remove one pole and place the remaining on equal distances among the poles, then each set of poles would be____ metres apart.

A) 15/2 B) 17/2 C) 9 D) n

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

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

56) if a clock takes seconds to strike seven. How long will it take to strike ten ?

A) 7 secs B) 9 secs C) 10 secs D) n

57) If 100 cats kill hundred mice in 100 days, then 4 cats would kill four mice in how many days ?

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

58) David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minutes. At the same time, Albert gets on an elevator at the rate of 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross ?

A) 19 B) 28 C) 30 D) 37 

59) In 3 coloured boxes-- Red, green and blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?

A) 18 B) 36 C) 45 D) n

60) two bus tickets from City A to B and three tickets from A to C cost ₹77 but three tickets from city A to B and two tickets from C to A cost ₹73. What are the fares for B and C from A ?

A) ₹4,₹23 B) ₹13,₹ 17 C) ₹15,₹14 D)₹17,₹ 13

61) A total of 324 coins of 20 paise and 25 paise make a sum of ₹71. The number 25 paise coins is.

A) 120 B) 124 C) 144 D) 200 

62) A man has ₹480 in the denominations of 1 rupees note, 5 rupees note and ten- rupees notes. The number of notes of each denominations is equal. What is the total number of notes that he has.

A) 45 B) 60 C) 75 D) 90 

** Directions: read the following information to answer the given questions:

A bag contains coins of four different denominations, viz., 1 rupees, 50 paise, 25 paise and 10 paise. There are as many 50 paise coins as the value of 25 paise coins in rupees. The value of one rupees coins is 5 times the value of 50 paise coins. The ratio of the number of 10 paise coins to that of 1 rupee coins is 4:3, while the total number of coins in the bag is 325.

63) How many 10 paise coins are there ?

A) 25 B) 50 C) 75 D) 100

64) What is the value of 50 paise coins?

A) ₹10 B) ₹15 C) ₹20 D) ₹30 

65) what is the ratio 50 paise coins to 25 paise coins?

A) 1:4 B) 2:5 C) 2:3 D) 1:3 

66) How many 1 rupees coins are there ?

A) 25 B) 50 C) 75 D) 100

67) what is the total value of coins in the bag ?

A) ₹130 B) ₹140 C) ₹150 D) ₹160 

68) On children's Day sweets were to be quality distributed among 175 children in a school. Actually on the Children's Day, 35 children were absent and therefore each child got 4 sweets extra. Total how many sweets were available for distribution ?

A) 2409 B) 2480 C) 2680 D) 2890 

69) A number of friends decided to go on a picnic and planned to spend ₹96 on eatable. 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 

70) After distributing the sweats equally among 25 chil, 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 D) data inadequate

71) A player holds 13 cards of four suits of which 7 are black and 6 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 

72) 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 

73) Mr. X, a mathematician, defines a number as 'connected with 6' if it is divisible by 6 or if the sum of the digits is 6, or 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 

74) Between two books ends in your study a displayed your five favourite puzzle books. If you decide to arrange the five books in every possible combination in moved just one book every minute, how long would it takes you ?

A) one hour B) two hours C) 3 hours D) 4 hours

75) I have a few sweets to be distributed. If 1 keep 2, 3 or 4 in a pack, I am left with one sweet. If 1 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 

76) Mr Johnson was to earn ₹300 and a free holiday for 7 weeks work. He worked for only 4 weeks and earned ₹ 30 and a free holiday. What was the value of holiday ?

A) ₹300 B)₹330 C) ₹360 D)₹420

77) In a cricket match, five batsmen A, B, C, D and E scored an average of 36 runs. D scores 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 

78) 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 Kan have between them before Ken's win ?

A) $9 B) $11 C) $13 D) $15 

79) 5 balls begin to toll together and toll respectively at interval of 6, 5, 7, 10 and 12 seconds. How many times will they toll together in 1 hour excluding the one at the start ?

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

80) At the fair I bought 6 erasers and 2 pens for ₹15. If I could have bought 4 more erasers for ₹14 than pens for ₹9, the price of a pen was

A) ₹1.50 B) ₹1.75 C)₹2.25 D) n

81) A bowl of sweets placed on a table to be distributed among three brothers-- Rajan, Sajal and Karan. Rajan arrived first and ate what he thought was his share of sweets and left. Then Sajal arrived. He thought that he was the first one to arrive and ate the number of sweets, he thought was his share and left. Lastly, Karan arrived. He again thought he was the first one to arrive and he took what he thought was his share. If 16 sweets are left in the bowl finally, How many sweets did the boil contain initially.

A) 27 B) 36 C) 48 D) 54

82) An egg vendor calls on his first customer and sales half his eggs and half an egg. To the second customer, he sells half of what he was left with an half an egg, and to the third customer, he sells half of what he was then left with and half an egg. However, he did not break any egg. If, in the end, the vendor was left with 3 eggs, how many eggs did he have initially.

A) 26 B) 31 C) 39 D) none 

83) One night, three nazghty boy stole a basketful of Apples from the garden, hid the loot and went to sleep. Before retiring they did some quick counting and found that the fruits were less than a 100 in number. During the night one boy awoke, counted the apples and found that he could divide the apples into 3 equal parts if he first took one four himself. He then took 1 Apple, ate it up and took 1/3 of the rest, hid them separately and went back to sleep. Shortly thereafter, another boy awoke, counted the apples and he again found that if he took one for himself the loot could be divided into 3 equal parts. He ate up 1 Apple, bagged to one-third of the remainder, hid them separately and went back to sleep. The third boys also awoke after sometime, did the same and went back to sleep. In the morning, when all work up, and counted Apples, they Found that the remaining apples again totalled one more than could be divided into 3 equal parts. How many apples did the boy steal.

A) 67 B) 79 C) 85 D) none 

84) A girl counted in the following way on the fingers of her left hand: she started by calling the thumb one, the index finger two, 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 

85) if a 1 mm thick paper is folded so that the area is halved at every field, then what would be the thickness of the knees of the pile after 54 folds ?

A) 100 km B) 1000 km C) 1 million kilometre D) 1 billion km 

86) 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 ₹ 150 and for a journey of 24 km, the charges paid are ₹204. What will a person have to pay for travelling a distance of 30 km ?

A) 236 B) 240 C) 248 D) 252 

87) Robin says, If Jai gives me ₹40, he will have half as much as Atul, but if Atul gives me ₹ 40, then the three of us will all have the same amount. What is the total amount of money that Robin, Jai and Atul have between them ?

A) 240 B) 320 C) 360 D) 420

88) A,B,C,D and E play game of cards. A says to B, if you give me 3 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 the total number of cards be 133, how many cards B have?

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

89) 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 I have at this moment while if D takes 5 cards from you, he will have as many as E has. A and C together have twice as many cards as E has. B and D together also have the same number of cards as A and C taken together. If together they have 150 cards, how many cards has C got?

A) 28 B) 29 C) 31 D) 35

90) 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 

91) 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 

92) In a carvan, in addition to 50 hens, there are 45 goats and 8 camels with some keepers. If the total number of feet be 224 more than the number of heads in the Caravan, the number of keepers is

A) 5 B) 8 C) 10 D) 15