CUET 2026 Arithmetic Reasoning MCQ Quiz for Various Competitive Exams

1. 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 ?

2. O and O' are the center of the two circles with radii 7cm and 9cm respectively. The distance between the centers is 20cm. If PQ be the transverse common tangent to the circles, which cuts OO' at X, what is the length of O'X in cm ?

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

4. In a caravan, 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

5. 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?

6. The sum of the interior angles of a polygon is twice the sum of its exterior angles. How many sides does the polygon have ?

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

8. A plane is an undefined term because it

9. Lami's theorem is applicable only for

10. When 5% is lost in grinding Maize, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of Maize, which grows in the country ?

11. Find the least number by which 175760 be divided to make it a perfect cube

12. Consider the following information and answer the questions based on it.
Out of 60 people in a colony, 10 speak only Bengali, 5 speak only Assamese, 10 speak both Hindi and Odia, 12 speak both Marathi and Hindi, 13 speak English, Tamil and Marathi, 5 speak both Assamese and Hindi and the remaining speak both Bengali and Hindi. The ratio of people who speak Bengali to those who speak Marathi is

13. Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have an equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x'?

14. 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?

15. 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?

16. 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?

17. The sum of three consecutive multiples of 3 is 72. What is the second largest number?

18. In the 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?

19. In the given numbers, if in each number first digit is replaced by the third digit, second digit is replaced by the first digit and third digit is replaced by the second digit then which number will be the biggest ?
653 749 872 933 541

20. In three 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?

21. Ravi's brother is 3 years senior to him. His father was 28 years of age when his sister was born while his mother was 26 years of age when he was born. If his sister was 4 years of age when his brother was born, what were the ages of Ravi's father and mother respectively when his brother was born?

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

23. Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers ?

24. Which of the following is a Composite number?

25. A bird lover was asked how many birds he had in the basket. He replied that there were all parrots but six, all pigeons but six, and all koel but six. How many birds did he have in the basket in all ?

26. 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?

27. At what time will B catch up with A, if A starts from a place at 11.00 A.M. and travels at a speed of 3.5 kmph, B starts at 1.00 P.M. and travels with speeds of 1 kmph for 1 hour, 2 kmph for the next 1 hour, 3 kmph for the next 1 hour and so on.

28. In a parking lot there are two types of vehicles, two wheelers and four wheelers. The total number of the vehicles in the parking lot is 200. When the number of the wheels of all the vehicles is counted it is counted to be 580. Find the total number of the four wheeler vehicles in the parking lot ?

29. Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush who is 10 years old. At what age did the father get married?

30. Answer the questions based on the following information.
Six colleagues are sitting in a circle and are facing the center of the circle. Diana is between Puskar and Padma. Priyanka is between Mahesh and Lucky. Puskar and Mahesh are opposite to each other.
Who is just right to Padma?

31. 17 tens in unit form?

32. 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 ?

33. 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?

34. Five farmers have 7,9,11,13 & 14 apple trees respectively in their orchards. Last year each of them discovered that every tree in their own orchard yields exactly the same number of apples. Further, if the 3rd farmer gives one apple to the 1st and the 5th gives 3 to each of the 2nd & d 4th, they would all exactly have the same number of apples, what were the yields per tree in the orchards of the 3rd & 4th farmers?

35. Ramesh, Kamal, Mohit, Amit and Rohit are standing in a row in the order of their heights. Ramesh is shorter than Kamal but taller than Rohit. Mohit is the tallest. Amit is a little shorter than Kamal but a little taller than Ramesh. Who is the shortest?

36. In a class of students, if 1 is absent, the rest of the people can be divided into 6 equal parts and if 2 are absent, the rest of them are divided into 7 equal parts. How many students are present in the class ?

37. 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

38.

39. If two is subtracted from each odd digit and three is added to each even digit in the number 94257636, how many digits will appear twice in the new number thus formed ?

40. Multiplicative inverse of 0

41. In a group of 15 people, 7 read French, 8 read English while 3 of them read none of these two. How many of them read French and English both?

42. 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 ?

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

44. Arrange the following words as per order in the dictionary. 1. Fraudulent, 2. Fraught, 3. Fraternity, 4. Franchise, 5. Frantic

45.

46. How many number of weights do you need to weigh 31 kg of Rice if you have one kg of weight stone?

47. An institute organized 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?

48. 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 ?

49. 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

50. 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 up to 1994. She ended counting on which finger

51. The sum of three numbers is 98. If the ratio of the first to the second is 2:3. And that of the second to the third is 5:8, then the second number is:

52. In a certain office, 1/3 of 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?

53. 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?

54. How many rectangles can be drawn with 36 cm as the perimeter, given that the sides are positive integers in cm?

55. What is the difference between the local values of 3 in the number 43403?

56. Study the given pattern carefully and select the number that can replace the question mark (?) in it.
11 13 17
33 35 39
189 191 ?

57. Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is?

58. 18 tens 20 ones =

59. A shepherd had 27 sheep. All but 10 died. How many he left with?

60. 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?

61. If the positions of the first and the fifth digits of the number 14278359 are interchanged, similarly the positions of the second and the sixth digits are interchanged and so on, then which of the following will be the second digit from the right end after the rearrangement ?

62. 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?

63. 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 is 133, how many cards does B have ?

64. 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?

65. Reena is twice as old as Sunita. Three years ago, she was three times as old as Sunita. How old is Reena now?

66. What is the value of 62 tens?

67. The cost of 7 tables and 12 chairs is Rs 48,250. What is the cost of 21 tables and 36 chairs ?

68. If 'x' means '-', '÷' means '+', '-' means '÷' and '+' means 'x', then 24 - 4 ÷ 6 x 3 + 4 = ?

69. 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?

70. The arithmetic mean of the following numbers 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6 and 7, 7, 7, 7, 7, 7, 7 is ?

71. Today is Varun's birthday. One year from today he will be twice as old as he was 12 years ago. How old is Varun today?

72. 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

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

74. In a chess tournament each of six players will play every other player exactly once. How many matches will be played during the tournament ?

75. 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?

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

77. 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?

78. There are 6561 balls out of them 1 is heavy. Find the minimum number of times the balls have to be weighted for finding out the heavy ball ?

79. If the LCM and HCF of two numbers are equal, then the numbers must be

80. 7 is to 34 as 5 is to

81. What is the value of a two–digit number?

82. Mohan, Ritika, Janvi, Priya and Riya are friends. Janvi runs faster than Ritika but slower than Priya. Mohan is the slowest runner and Riya runs faster than Priya. Who runs the fastest among the five?

83. 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?

84.

85. It takes five minutes to pass a rumour from one person to two other persons. The tree of rumor continues. Find how many minutes it takes to spread the rumour to 729 persons?

86. Aruna cut a cake into two halves and cut 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?

87. A cow was standing on a bridge, 5m away from the middle of the bridge. A train was coming towards the bridge from the ends nearest to the cow. Seeing this cow ran towards the train and managed to escape when the train was 2m away from the bridge. If it had run in the opposite direction, it would have been hit by the train 2m before the end of the bridge. What is the length of the bridge in meters assuming the speed of the train is 4 times that of a cow ?

88. 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?

89. 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 ?

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

91. 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