CUET 2026 Numerical Ability MCQs for Practice

1. A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, b, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of b in the profit.

a.Rs. 2800

b.Rs 2840

c.Rs. 2660

d.Rs. 1900

2. In a touring cricket team there are 16 players in all including 5 bowlers and 2 wicket-keepers. How many teams of 11 players from these, can be chosen, so as to include three bowlers and one wicket-keeper?

a.800

b.750

c.650

d.720

3. Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is:

a.16 hours

b.20 hours

c.24 hours

d.18 hours

4. Which of the following can be a product of two 3-digit **3 and **8 ?

a.9124

b.None of these

c.991014

d.1010024

5. The units digits in the product 274 * 318 * 577* 313 is :

a.2

b.5

c.4

d.3

6. How many terms are there in 2,4,8,16,.....,1024 ?

a.5

b.8

c.10

d.9

7. The digit in units place of the product 81 * 82 * ...... * 89 is :

a.0

b.6

c.8

d.2

8. The greatest number by which the product of three consecutive multiples of 3 is always divisible is :

a.162

b.243

c.54

d.81

9. In how many ways can 10 true-false questions be replied

a.100

b.1024

c.20

d.512

10. A six-digit number is formed by repeating a three- digit number; for example, 256256 or 678678 etc. Any number of this is always exactly divisible by :

a.13 only

b.11 only

c.1001

d.7 only

11. The least number which must be subtracted from 6709 to make it exactly divisible by 9 is :

a.4

b.2

c.5

d.3

12. 106 * 106 + 94 * 94 = ?

a.20032

b.21032

c.20072

d.23032

13. What should be maximum value of B in the following equation ? 5A9 - 7B2 + 9C6 = 823

a.5

b.9

c.6

d.7

14. If x and y are negative, then which of the following statement is / are always true ? I. x + y is positive II. xy is positive III. x - y is positive

a.I and III only

b.II only

c.I only

d.III only

15. The average weight of a class of 24 students is 35 kg. If the weight of the teacher is included, the average rises by 400 g. The weight of the teacher is :

a.47 kg

b.45 kg

c.46 kg

d.48 kg

16. 10 typists can type 600 pages in 8 hours. Find the average number of pages typed by each typist in an hour.

a.8.5 pages

b.7.5 pages

c.7 pages

d.8 pages

17. Let S be the set of all real numbers. Then the relation R = {(a, b) : 1 + ab > 0} on S is

a.Symmetric, transitive but not reflexive

b.Reflexive and symmetric but not transitive

c.Reflexive, transitive and symmetric

d.Reflexive and transitive but not symmetric

18. At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years?

a.7%

b.7.50%

c.6%

d.6.50%

19. A number is multiplied by 11 and 11 is added to the product. If the resulting number is divisible by 13, the smallest original number is :

a.22

b.12

c.26

d.53

20. 5978 + 6134 + 7014 = ?

a.19216

b.19126

c.19226

d.16226

21. The number of digits of the smallest number, which when multiplied by 7 gives the result consisting entirely of nines, is :

a.5

b.6

c.3

d.8

22. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:

a.4 hours

b.2 hours

c.3 hours

d.1 hours

23. When a certain number is multiplied by 13, the product consists entirely of fives. The smallest such number is :

a.41625

b.42735

c.42135

d.42515

24. Identify the missing number WITHIN the series. - 86, ?, 79, 75, 72, 68

a.85

b.82

c.80

d.84

25. The smallest value of n, for which 2n + 1 is not a prime number, is :

a.3

b.5

c.None of these

d.4

26. If 5 men can colour 50-meter long cloth in 5 days, in many days 4 men can color a 40-meter long cloth?

a.3 days

b.4 days

c.6 days

d.5 days

27. - 95/19 = ?

a.5

b.0

c.-4

d.-5

28. 8756 * 99999 = ?

a.815491244

b.796491244

c.None of these

d.875591244

29. 3578 + 5729 - ?486 = 5821

a.1

b.2

c.3

d.None of these

30. 12846 * 593 + 12846 * 407 = ?

a.12846000

b.14203706

c.24064000

d.24038606

31. What could be the value of tan80° tan10° + sin270° + sin20° is tan80° tan10° + sin270° + sin20°?

a.3

b.2

c.1

d.0

32. If the unit digit in the product (459 x 46 x 28* x 484) is 2,the digit in place of * is:

a.7

b.3

c.5

d.None of these

33. A bag contains 6 white and 4 black balls. 2 balls are drawn at random. Find the probability that they are of the same colour.

a.8/15

b.1/9

c.7/15

d.1/2

34. What least number must be subtracted from 427398 so that the remaining number is divisible by 97 ?

a.5

b.3

c.1

d.4

35. In a History examination, the average for the entire class was 80 marks. If 10% of the students scored 95 marks and 20% scored 90 marks, what was the average marks of the remaining students of the class?

a.75

b.72

c.85

d.60

36. Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?

a.Rs. 7200

b.Rs. 6400

c.Rs. 7500

d.Rs. 6500

37. The smallest number to be added to 1000 so that 45 divides the sum exactly is :

a.10

b.35

c.20

d.50

38. Identify the missing number at the END of the series - 316, 323, 332, 343, ?

a.358

b.351

c.356

d.357

39. How many of the following numbers are divisible by 132 ? 264, 396, 462, 792, 968, 2178, 5184, 6336

a.7

b.5

c.6

d.4

40. What will be simple interest on Rs 600 at the rate 3 ½ % per annum for 4 year

a.Rs. 84

b.Rs. 80

c.Rs. 90

d.Rs. 87

41. Identify the missing number at the END of the series - 662, 645, 624, 599, ?

a.589

b.575

c.570

d.566

42. A car left Point A at 7.12 am and arrived in Point B, 180 miles distant at 10.57 am. What was its average speed in miles per hour?

a.42

b.48

c.46

d.44

43. The digits indicated by * and $ in 3422213*$ so that this number is divisible by 99, are respectively :

a.3, 7

b.1, 9

c.5, 5

d.4, 6

44. A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:

a.Rs. 11,900

b.Rs. 8400

c.Rs. 14,700

d.Rs. 13,600

45. The smallest number that must be added to 803642 in order to obtain a multiple of 11 is :

a.4

b.1

c.9

d.7

46. What was the day of the week on 28th May, 2006?

a.Saturday

b.Thursday

c.Friday

d.Sunday

47. The difference in the interests received from two different banks on Rs. 1000 for 2 years is Rs. 20. Thus, the difference in their rates is

a.1%

b.0.50%

c.1.50%

d.2%

48. If log 64 = 1.8061, then the value of log 16 will be ( approx )?

a.1.2040

b.1.9048

c.0.9840

d.1.4521

49. How many three digit numbers are divisible by 6 in all ?

a.166

b.151

c.150

d.149

50. The difference in simple interest at 13% and 12% p.(a) of a sum in one year is Rs. 110. Then the sum is

a.Rs. 10000

b.Rs. 15000

c.Rs. 13000

d.Rs. 10000

51. A man sitting in a train which is traveling at 50 kmph observes that a goods train, traveling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed?

a.64

b.65

c.60

d.62

52. 7589 - ? = 3434

a.4155

b.721

c.11023

d.3246

53. 39798 + 3798 + 378 = ?

a.43576

b.43984

c.43974

d.49532

54. 7845 - ? = 8461- 3569

a.3569

b.2593

c.2773

d.None of these

55. A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?

a.Data Inadequate

b.6 km/hr

c.4 km/hr

d.8 km/hr

56. Question

a.2 (a+b+c)

b.1

c.a+b+c

d.0

57. The difference between the squares of two consecutive odd integers is always divisible by :

a.7

b.8

c.3

d.6

58. Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.

a.60 sec

b.24 sec

c.12 sec

d.48 sec

59. Find the sum of prime numbers lying between 60 and 75 .

a.272

b.211

c.201

d.199

60. A’s marks in Biology are 20 less than 25% of the total marks obtained by him in Biology, Maths and Drawing. If his marks in Drawing be 50, what are his marks in Maths?

a.63

b.Cannot be determined

c.60

d.47

61. Which of the following numbers is divisible by 3, 7, 9 and 11 ?

a.639

b.3791

c.2079

d.37911

62. The relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} on set A = {1, 2, 3} is

a.Neither symmetric nor transitive

b.Reflexive but not transitive

c.Symmetric and Transitive

d.Reflexive but not symmetric

63. If the number 42573* is completely divisible by 72, then which of the following numbers should replace the asterisk ?

a.6

b.4

c.7

d.5

64. 9572 - 4018 - 2164 = ?

a.3570

b.7718

c.3300

d.3390

65. 18265 + 2736 + 41328 = ?

a.61329

b.62329

c.62319

d.62239

66. 965421 * 625 = ?

a.545628125

b.584638125

c.584649125

d.575648125

67. Karl-Pearson’s coefficient of skewness of a distribution is 0.32. Its S.(D) is 6.5 and means 39.6. Then the median of the distribution is given by

a.28.61

b.29.13

c.38.81

d.28.31

68. How many numbers between 200 and 600 are divisible by 4, 5 and 6 ?

a.7

b.5

c.8

d.6

69. If the numbers 357*25* is divisible by both 3 and 5, then the missing digits in the units place and the thousandth place respectively are :

a.None of these

b.5, 6

c.5, 4

d.0, 6

70. You get a wage increase of 4% plus an extra $5 per week. Your present wages are $250 per week. What will your new wage be?

a.$270

b.$265

c.$275

d.$260

71. The sum of even numbers between 1 and 31 is :

a.128

b.512

c.240

d.16

72. Ram borrowed Rs. 5,000 from Sanjay with simple interest. After 2 years, Sanjay got Rs. 1,000 more than what he had given to Ram. What was the percentage of interest per annum?

a.5

b.20

c.15

d.10

73. The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8748, its purchase price was:

a.12000

b.14000

c.16000

d.10000

74. Identify the missing number WITHIN the series - 98, 94, ?, 70, 38

a.89

b.86

c.85

d.87

75. A _____ distribution is a theoretical probability distribution that shows the functional relationship between the possible values of some summary characteristic of n cases drawn at random and the probability (density) associated with each value over all possible samples of size n from a particular population.

a.Population

b.Sampling

c.Sample

d.Standardized normal

76. A coffee shop blends 2 kinds of coffee, putting in 2 parts of a 33p. a gm. grade to 1 part of a 24p. a gm. If the mixture is changed to 1 part of the 33p. a gm. to 2 parts of the less expensive grade, how much will the shop save in blending 100 gms.

a.Rs. 90

b.Rs. 1

c.Rs. 8

d.Rs. 3

77. What should come in place of * mark in the following equation ? 1*5$4/148 = 78

a.6

b.4

c.8

d.1

78. If we write all the whole numbers from 200 to 400, then how many of these contain the digit 7 once and only once ?

a.34

b.36

c.32

d.35

79. Which of the following numbers is exactly divisible by 24 ?

a.63810

b.3125736

c.35718

d.537804

80. In a class, except 18 all are above 50 years. 15 are below 50 years of age. How many people are there

a.None of these

b.33

c.36

d.30

81. In an examination of n questions, a student replied 15 out of the first 20 questions correctly. Of the remaining questions, he answered one-third correctly. All the questions have the same credit. If the student gets 50% marks, the value of n is:

a.67

b.50

c.82

d.30

82. A train moving at 50 km/hr crosses a bridge in 45 seconds. The length of the train is 150 meters. Find the length of the bridge.

a.575 m

b.500 m

c.545 m

d.525 m

83. The sum of three prime numbers is 100. If one of them exceeds another by 36, then one of the numbers is :

a.7

b.29

c.67

d.41

84. The sum of the first 45 natural numbers is :

a.1035

b.2070

c.1280

d.2140

85. 587 * 999 = ?

a.615173

b.586413

c.614823

d.587523

86. In an examination, there are three papers and a candidate has to get 35% of the total to pass. In one paper, he gets 62 out of 150 and in the second 35 out of 150. How much must he get, out of 180, in the third paper to just qualify for a pass?

a.88

b.50.5

c.71

d.70

87. Tea worth of Rs. 135/kg & Rs. 126/kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be____?

a.Rs. 180

b.Rs. 175.50

c.Rs. 169.50

d.Rs.1700

88. 9548 + 7314 = 8362 + ?

a.8410

b.8600

c.8230

d.8500

89. Which one of the following is a prime number ?

a.437

b.161

c.221

d.373

90. Identify the missing number WITHIN the series - 33, ?, 19, 12, 5

a.31

b.26

c.27

d.29

91. 9358 - 6014 + 312 = ?

a.6381

b.3471

c.6741

d.6571

92. Which of the following numbers is exactly divisible by 99 ?

a.913464

b.135792

c.3572404

d.114345

93. The sum of all possible two digit numbers formed from three different one digit natural numbers when divided by the sum of the original three numbers is equal to :

a.None of these

b.36

c.18

d.22

94. A positive integer, which when added to 1000, gives a sum which is greater than when it is multiplied by 1000. This positive integer is :

a.1

b.5

c.7

d.3

95. The price of a car is Rs. 3,25,000. It was insured to 85% of its price. The car was damaged completely in an accident and the insurance company paid 90% of the insurance. What was the difference between the price of the car and the amount received?

a.Rs. 60000

b.Rs. 82,250

c.Rs. 49000

d.Rs. 76375

96. Hoe many of the following numbers are divisible by 3 but not by 9 ? 2133, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276

a.5

b.6

c.None of these

d.7

97. The sum of three consecutive odd numbers is always divisible by : I. 2 II. 3 II. 5 IV. 6

a.Only I and IV

b.Only I

c.Only I and III

d.Only II

98. A can do a piece of work in 10 days, B in 15 days. They work together for 5 days, the rest of the work is finished by C in two more days. If they get Rs. 3000 as wages for the whole work, what are the daily wages of A, B and C respectively (in Rs):

a.200, 250, 300

b.None of these

c.300, 200, 250

d.200, 300, 400

99. If correlation coefficient is negative, then the regression coefficient is

a.One

b.Zero

c.Negative

d.Positive

100. (51 + 52 + 53 + ….. + 100) is equal to :

a.3775

b.2975

c.2525

d.3225

101. In a survey, 3/16 of people said that they preferred to use self service gas stations. 5/8 said that they preferred not to pump their own gas. The remaining 75 responders said that they had no clear preference. How many people preferred self service?

a.100

b.133

c.125

d.75

102. 469157 * 9999 = ?

a.4686970743

b.4691100843

c.4586970843

d.584649125

103. What least value must be given to * so that the number 451 * 603 is exactly divisible by 9 ?

a.7

b.2

c.5

d.8

104. A train of length 100 meters is moving at a speed of 70 km/hr. At what time will it cross a man who is walking at 10 km/hr in the same direction?

a.7 Seconds

b.5 Seconds

c.6 Seconds

d.8 seconds

105. In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates that appeared from each State?

a.4000

b.7600

c.8000

d.8300

106. A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is:

a.2 mph

b.4 mph

c.2.5 mph

d.3 mph

107. What is the sum of the first 35 natural num(b)ers?

a.645

b.630

c.660

d.610

108. In a ratio, which is equal to 3 : 4, if the antecedent is 12, then the consequent is:

a.16

b.20

c.22

d.10

109. Identify the missing number WITHIN the series - 11, 19, ?, 41, 55

a.29

b.31

c.26

d.39

110. The number 311311311311311311311 is :

a.Divisible by both 3 and 11

b.Divisible by 11 but not by 3

c.Neither divisible by 3 nor by 11

d.Divisible by 3 but not by 11

111. Anna and John both drive to their new home 400 km away. Anna drives the family car at an average speed of 60 km/h. John drives the removal truck at an average speed of 50 km/h. During the journey, Anna stops for a total of 1 hour and 20 minutes while John stops for half as long. What is the difference in minutes between their arrival times?

a.40

b.55

c.90

d.60

112. An experiment succeeds twice as often as it fails. Find the probability that in 4 trials there will be at least three success

a.4/27

b.8/27

c.16/27

d.24/27

113. Which of the following numbers should be added to 11158 to make it exactly divisible by 77?

a.5

b.8

c.9

d.7

114. A train is moving at 120 km/hr. The length of the train is 200 meters. How long will it take to cross a platform of length 100 meters?

a.10 Seconds

b.9 Seconds

c.15 seconds

d.7 Seconds

115. A number 476**0 is divisible by both 3 and 11. The non-zero digits in the hundredth and tenth place respectively are :

a.7, 4

b.None of these

c.7, 5

d.8, 5

116. What was the day of the week on 17th June, 1998?

a.Tuesday

b.Monday

c.Thursday

d.Wednesday

117. There are four prime numbers written in ascending order. The product of the first three is 385 and that of the least three is 1001. The least number is :

a.13

b.17

c.11

d.19

118. What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?

a.2:3

b.Data inadequate

c.1:4

d.1:3

119. What is the missing number? 83 - 17 = 56 + ?

a.6

b.10

c.20

d.16

120. What is the total number of prime numbers less than 70 ?

a.17

b.18

c.19

d.20

121. 1399 * 1399 = ?

a.1943211

b.1957201

c.1901541

d.1687401

122. 217 * 217 + 183 * 183 = ?

a.80578

b.79698

c.81268

d.80698

123. The total number of even prime numbers is ?

a.2

b.1

c.None of these

d.0

124. 1307 * 1307 = ?

a.1601249

b.1701249

c.1708249

d.1607249

125. The sum of the digits of a 3-digit number is subtracted from the from the number. The resulting number is :

a.Divisible neither by 6 nor by 9

b.Divisible by both 6 and 9

c.Divisible by 6

d.Divisible by 9

126. 5358 * 51= ?

a.273268

b.273348

c.273358

d.273258

127. How many numbers between 400 and 600 begin with or end with a digit of 5 ?

a.110

b.100

c.120

d.40

128. If 1*548 is divisible by 3, which of the following digits can replace * ?

a.7

b.0

c.2

d.9

129. Identify the missing number WITHIN the series.20, 30, 25, 35, ? 40

a.30

b.25

c.35

d.45

130. Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is

a.300 m

b.273 m

c.200 m

d.173 m

131. A scored 30% marks and failed by 15 marks. B scored 40% marks and obtained 35 marks more than those required to pass. The pass percentage is:

a.34%

b.48%

c.33%

d.2.40%

132. An aircraft flies 930 miles in 75 minutes. How many miles does it fly in 4 hours 45 minutes assuming a constant speed?

a.3512

b.3522

c.3477

d.3534

133. A motor boat, whose speed is 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:

a.5

b.4

c.6

d.10

134. The smallest three-digit prime number is :

a.None of these

b.109

c.107

d.103

135. A man completes a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and the second half at the rate of 24 km/hr. Find the total journey in km

a.230 km

b.234 km

c.224 km

d.220 km

136. What least number must be subtracted from 427398 so that the remaining number is divisible by 15?

a.16

b.3

c.6

d.11

137. A, b, C can do a job in 10, 20 and 40 days respectively. In how many days A can complete the job if he is assisted by b and C on every third day?

a.6 days

b.9 days

c.7 days

d.8 days

138. 6897 is divisible by :

a.11 only

b.both 11 and 19

c.Neither 11 nor 19

d.19 only

139. 397 * 397 + 104 * 104 + 2 * 397 * 104 = ?

a.251001

b.250001

c.261001

d.260101

140. The average of 7 consecutive numbers is 20. The largest of these numbers is :

a.22

b.21

c.23

d.24

141. There is one number which is formed by writing one digit 6 times (e.g. 111111, 444444 etc. ). Such a number is always divisible by :

a.13 only

b.11 only

c.All of these

d.7 only

142. Average of five numbers is 20. If each number is multiplied by 2, what will be the new average?

a.60

b.50

c.30

d.40

143. The salaries of A and B together amount to Rs. 2000. A spends 95% of his salary and B, 85% of his. If now, their savings are the same, what is A’s salary?

a.Rs. 1500

b.Rs. 1350

c.Rs. 1800

d.Rs. 850

144. What is the missing number? 20 / 0.8 = ?

a.24

b.16

c.15

d.25

145. Identify the missing number at the END of the series. 3, 11, 19, 27, ?

a.35

b.33

c.37

d.39

146. What is the missing number? 56 / 7 = ? - 5

a.11

b.14

c.15

d.13

147. 12345679 * 72 is equal to :

a.88888888

b.888888888

c.898989898

d.999999998

148. It costs a manufacturer X Euros per component to make the first 1,000 components. All subsequent components cost X/3 each. When X = €1.50, how much will it cost to manufacture 4,000 components?

a.3250

b.3500

c.3000

d.4000

149. A driver drives 8 km South then 6 km W. and 2 km S. again. She then drives 3 km E. to avoid a traffic jam before driving 6 km N. How many kilometres is she from her starting point?

a.6

b.5

c.4

d.7

150. A man can row three-quarters of a kilometer against the stream in 11 1/4 minutes and down the stream in 7 1/2 minutes. The speed (in km/hr) of the man in still water is:

a.4

b.3

c.5

d.2

151. A man rows to a place 48 km distant and come (b)ack in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:

a.2.5 km/hr

b.1 km/hr

c.2 km/hr

d.1.5 km/hr

152. Given that 1+2+3+.. +9 = 45, find the value of (11+12+13+..+19).

a.135

b.130

c.125

d.140

153. The least number by which 72 must be multiplied in order to produce a multiple of 112, is :

a.12

b.14

c.6

d.18

154. Which of the following is always odd ?

a.None of these

b.Difference of two odd numbers

c.Product of two odd numbers

d.Sum of two odd numbers

155. If x and y are positive integers such that (3x + 7y)is a multiple of 11, then which of the following will also be divisible by 11 ?

a.x + y + 4

b.4x - 9y

c.4x + 6y

d.9x + 4y

156. 100/3 % of a mans daily output is equal to 50% of a second mans daily output. If the second man turns out 1500 screws daily, then the first mans output in terms of making screws is :

a.2250

b.500

c.2000

d.1000

157. A train travelling at 60 km/h enters a tunnel that is 5 km long. The train is 1 km long. How many minutes does it take for the whole train to pass through the tunnel?

a.6

b.5

c.4

d.10

158. The sum of the number of boys and girls in a school is 150. If the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is:

a.65

b.60

c.51

d.95

159. What is the angle between the hour hand and minute hand of a clock at 3.30?

a.65°

b.75°

c.70°

d.80°

160. A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:

a.Rs. 650

b.Rs. 690

c.Rs. 698

d.Rs. 700

161. How many times do the hands of a clock coincide in a day?

a.22

b.21

c.23

d.24

162. The least prime number is :

a.2

b.1

c.0

d.3

163. If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x + y is equal to :

a.3

b.4

c.2

d.6

164. In a group of 15,7 have studied Latin, 8 have studied Greek, and 3 have not studied either. How many of these studied both Latin and Greek

a.3

b.4

c.1

d.5

165. The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:

a.9.2 m

b.4.6 m

c.7.8 m

d.2.3 m

166. Find the number of three-digit numbers which are divisible by 6.

a.120

b.150

c.110

d.130

167. 5*2 is a three-digit number with * as a missing digit. If the number is divisible by 6, the missing digit is :

a.7

b.3

c.2

d.6

168. Suppose cos4θ – sin4θ = 1/3, then what is the value of tan2θ?

a.1/2

b.1/3

c.1/5

d.1/4

169. A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?

a.8:3

b.3:2

c.2:1

d.Cannot be determined

170. Using the standardized normal table supplied with this exam determine what Z value would be used to set up a confidence interval at the 95 percent confidence level.

a.1.96

b.1.05

c.1.65

d.0.05

171. Which of the following numbers is exactly divisible by all prime numbers between 1 and 17 ?

a.510510

b.345345

c.515513

d.440440

172. Identify the missing number at the END of the series. 3, 6, 11, 18, ?

a.24

b.26

c.25

d.27

173. What least value must be assigned to * so that the number 86325*6 is divisible be 11 ?

a.1

b.2

c.5

d.3

174. 1014 * 986 = ?

a.999804

b.998904

c.998804

d.98814

175. A 4-digit number is formed by repeating a 2-digit number such as 2525, 3232 etc. Any number of this form is exactly divisible by :

a.13

b.11

c.7

d.Smallest 3-digit prime number

176. Which one of the following numbers is exactly divisible by 11 ?

a.415624

b.315624

c.245642

d.235641

177. The largest natural number which exactly divides the product of any four consecutive natural numbers is :

a.24

b.6

c.12

d.120

178. A pack of playing cards was found to contain only 51 cards. If the first 13 cards which are examined are all red, then the probability that the missing cards is black, is

a.1/2

b.3/4

c.2/3

d.1/3

179. 360 * 17 = ?

a.5320

b.6130

c.5120

d.6120

180. A boy multiplies 987 by a certain number and obtains 559981 as his answer. If in the answer, both 9s are wrong but the other digits are correct, then the correct answer will be :

a.553681

b.555181

c.555681

d.556581

181. In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water in km/hr is:

a.3 km/hr

b.9 km/hr

c.8 km/hr

d.5 km/hr

182. If 20% of a = b, then b% of 20 is the same as:

a.8% of a

b.4% of a

c.6% of a

d.10% of a

183. When the sum of two numbers is multiplied by 5, the product is divisible by 15. Which one of the following pairs of numbers satisfies the above condition ?

a.250, 341

b.240, 335

c.345, 342

d.None of these

184. A 3-digit number 4a3 is added to another 3-digit number 984 to give the four-digit number 13b7, which is divisible by 11. Then (a + b) is :

a.11

b.15

c.10

d.12

185. What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12 p.c.p.a.?

a.Rs. 9720

b.Rs. 10483.20

c.Rs. 10123.20

d.Rs. 9000.30

186. Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:

a.10

b.36

c.18

d.72

187. The value of P, when 4864 * 9P2 is divisible by 12, is :

a.2

b.8

c.None of these

d.5

188. If oranges cost 5 for 75 cents how many can you buy for $2.70? (Assuming they can be bought singly)

a.19

b.18

c.17

d.16

189. A boat man goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?

a.1 hr 30 min

b.1 hr 15 min

c.40 minutes

d.1 hours

190. The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is:

a.2.4 km

b.1.8 km

c.3.6 km

d.1.2 km

191. A boat covers a certain distance downstream in 1 hour, while it comes back in 1 hours. If the speed of the stream is 3 kmph, what is the speed of the boat in still water?

a.15 kmph

b.14 kmph

c.13 kmph

d.12 kmph

192. For instance, if 20 workers are working on 8 hours to finish a particular work process in 21 days, then how many hours are going to take for 48 workers to finish the same task in 7 days?

a.12

b.20

c.10

d.15

193. 186 * 186 + 159 * 159 - 2 * 186 * 159 = ?

a.729

b.2019

c.7029

d.1039

194. If 6x43 - 46y9 = 1904, which of the following should come in place of x ?

a.9

b.4

c.6

d.None of these

195. Identify the missing number at the END of the series. 516, 497, 478, 459, ?

a.440

b.436

c.438

d.452

196. Rohit spends 40% of his salary on food, 20% on house rent, 10% on entertainment and 10% on conveyance. If his savings at the end of a month are Rs. 1500, then his monthly salary is :

a.Rs. 7500

b.Rs. 10,000

c.Rs. 8000

d.Rs. 6000

197. A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the (b)oat (in still water) and the stream is:

a.4:3

b.3:1

c.3:2

d.2:1

198. If a and b are both odd numbers, which of the following is an even number ?

a.a + b + 1

b.ab

c.a + b

d.ab + 2

199. What least value must be assigned to * so that the number 63576*2 is divisible by 8 ?

a.1

b.2

c.4

d.3

200. How many seconds will a 500-metre-long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?

a.45

b.40

c.30

d.25

201. 325325 is a six-digit number. It is divisible by :

a.13 only

b.All 7, 11 and 13

c.11 only

d.7 only

202. The largest natural number by which the product of three consecutive even natural numbers is always divisible, is :

a.48

b.96

c.24

d.16

CUET 2026 Numerical Ability MCQ Question Answers – 100 MCQs for Practice

CUET 2026 Numerical Ability MCQ Question Answers for Various Entrance Exams

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