CUET 2024 Numerical Ability MCQs for Practice

1. 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.0, 6

d.5, 4

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

a.24

b.48

c.96

d.16

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

a.None of these

b.1010024

c.991014

d.9124

4. 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 2840

b.Rs. 1900

c.Rs. 2800

d.Rs. 2660

5. 1014 * 986 = ?

a.98814

b.998804

c.998904

d.999804

6. 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.2:1

b.3:1

c.3:2

d.4:3

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

a.3

b.5

c.4

d.2

8. 9572 - 4018 - 2164 = ?

a.3390

b.3300

c.3570

d.7718

9. 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.40 minutes

c.1 hr 15 min

d.1 hours

10. 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.12

b.15

c.11

d.10

11. 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. 10000

d.Rs. 13000

12. 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.4000

b.3000

c.3250

d.3500

13. 7845 - ? = 8461- 3569

a.None of these

b.2773

c.3569

d.2593

14. 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.41

d.67

15. 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.8000

c.8300

d.7600

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

a.29

b.31

c.39

d.26

17. 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.10

c.4

d.5

18. 360 * 17 = ?

a.6120

b.5320

c.5120

d.6130

19. 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.1.50%

b.0.50%

c.2%

d.1%

20. 39798 + 3798 + 378 = ?

a.43576

b.43974

c.43984

d.49532

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

a.27

b.29

c.26

d.31

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

a.3522

b.3477

c.3534

d.3512

23. 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.7 Seconds

c.9 Seconds

d.15 seconds

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

a.452

b.440

c.436

d.438

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

a.85

b.86

c.89

d.87

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

a.7

b.8

c.5

d.9

27. 12846 * 593 + 12846 * 407 = ?

a.12846000

b.24038606

c.14203706

d.24064000

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

a.24

b.25

c.16

d.15

29. 6897 is divisible by :

a.both 11 and 19

b.Neither 11 nor 19

c.19 only

d.11 only

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

a.3125736

b.537804

c.35718

d.63810

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

a.17

b.20

c.19

d.18

32. 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.2000

c.500

d.1000

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

a.221

b.373

c.437

d.161

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

a.110

b.120

c.40

d.100

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

a.110

b.120

c.150

d.130

36. 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.6 days

b.3 days

c.4 days

d.5 days

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

a.245642

b.315624

c.415624

d.235641

38. 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.220 km

d.224 km

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

a.a + b

b.a + b + 1

c.ab + 2

d.ab

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

a.10

b.20

c.6

d.16

41. 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.8 km/hr

b.3 km/hr

c.9 km/hr

d.5 km/hr

42. 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.10

b.15

c.12

d.20

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

a.1

b.3

c.2

d.5

44. 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.2

c.5

d.3

45. 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.2.5 mph

c.3 mph

d.4 mph

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

a.40

b.30

c.50

d.60

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

a.16

b.10

c.22

d.20

48. 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.60

b.55

c.90

d.40

49. 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.8 km/hr

b.6 km/hr

c.Data Inadequate

d.4 km/hr

50. 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.11 only

b.13 only

c.7 only

d.All of these

51. 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.25

c.40

d.30

52. 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.1 hours

c.3 hours

d.2 hours

53. 469157 * 9999 = ?

a.584649125

b.4691100843

c.4586970843

d.4686970743

54. 12345679 * 72 is equal to :

a.999999998

b.88888888

c.898989898

d.888888888

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

a.81

b.243

c.54

d.162

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

a.8/27

b.16/27

c.4/27

d.24/27

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

a.23

b.24

c.22

d.21

58. 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.Smallest 3-digit prime number

b.11

c.7

d.13

59. 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. 7500

b.Rs. 6400

c.Rs. 7200

d.Rs. 6500

60. 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.60

c.72

d.85

61. 10 typists can type 600 pages in 8 hours. Find the average number of pages typed by each typist in an hour.

a.7 pages

b.7.5 pages

c.8 pages

d.8.5 pages

62. 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

63. 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.53

c.12

d.26

64. 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.9x + 4y

b.x + y + 4

c.4x - 9y

d.4x + 6y

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

a.4

b.5

c.3

d.2

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

a.1/4

b.1/2

c.1/5

d.1/3

67. 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.12 kmph

c.13 kmph

d.14 kmph

68. 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.273 m

b.200 m

c.173 m

d.300 m

69. 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.1.5 km/hr

c.2 km/hr

d.1 km/hr

70. 18265 + 2736 + 41328 = ?

a.62329

b.61329

c.62239

d.62319

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

a.4

b.9

c.None of these

d.6

72. 186 * 186 + 159 * 159 - 2 * 186 * 159 = ?

a.1039

b.729

c.7029

d.2019

73. 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.10

b.15

c.20

d.5

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

a.0

b.8

c.2

d.6

75. 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.$275

b.$265

c.$270

d.$260

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

a.80

b.82

c.84

d.85

77. 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.556581

d.555681

78. 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.71

b.70

c.50.5

d.88

79. 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. 82,250

b.Rs. 76375

c.Rs. 49000

d.Rs. 60000

80. 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.12 sec

b.60 sec

c.24 sec

d.48 sec

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

a.1

b.4

c.6

d.8

82. The least prime number is :

a.2

b.3

c.1

d.0

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

a.3

b.2

c.1

d.4

84. 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. 1800

b.Rs. 1350

c.Rs. 1500

d.Rs. 850

85. 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.2.40%

c.33%

d.48%

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

a.30

b.35

c.45

d.25

87. 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.62

b.65

c.64

d.60

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

a.7.50%

b.7%

c.6.50%

d.6%

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

a.15

b.13

c.14

d.11

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

a.Tuesday

b.Monday

c.Thursday

d.Wednesday

91. 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.48

b.44

c.42

d.46

92. 9358 - 6014 + 312 = ?

a.3471

b.6381

c.6741

d.6571

93. 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.1700

c.Rs. 169.50

d.Rs. 175.50

94. 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.2:1

b.Cannot be determined

c.8:3

d.3:2

95. 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.7 days

c.9 days

d.8 days

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

a.575

b.566

c.570

d.589

97. 5*2 is a three-digit number with * as a missing digit. If the number is divisible by 6, the missing digit is :

a.2

b.6

c.3

d.7

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

a.None of these

b.8, 5

c.7, 5

d.7, 4

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

a.17

b.16

c.18

d.19

100. 106 * 106 + 94 * 94 = ?

a.20032

b.23032

c.20072

d.21032

101. 587 * 999 = ?

a.586413

b.614823

c.615173

d.587523

102. 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.Cannot be determined

b.60

c.63

d.47

103. 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. 8

b.Rs. 3

c.Rs. 1

d.Rs. 90

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

a.0.9840

b.1.4521

c.1.2040

d.1.9048

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

a.7

b.0

c.9

d.2

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

a.Only II

b.Only I

c.Only I and IV

d.Only I and III

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

a.512

b.16

c.128

d.240

108. 1399 * 1399 = ?

a.1943211

b.1957201

c.1687401

d.1901541

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

a.1

b.7

c.9

d.4

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

a.One

b.Negative

c.Positive

d.Zero

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

a.199

b.201

c.272

d.211

112. 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. 10123.20

c.Rs. 9000.30

d.Rs. 10483.20

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

a.2

b.8

c.7

d.5

114. 965421 * 625 = ?

a.545628125

b.584649125

c.584638125

d.575648125

115. 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.6

b.3

c.2

d.4

116. 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.650

b.750

c.800

d.720

117. 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.None of these

b.5

c.6

d.7

118. 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.3

c.7

d.5

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

a.3

b.7

c.8

d.6

120. 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.1.2 km

b.3.6 km

c.2.4 km

d.1.8 km

121. 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.95

b.60

c.51

d.65

122. Question

a.a+b+c

b.1

c.0

d.2 (a+b+c)

123. Which of the following is always odd ?

a.Difference of two odd numbers

b.Sum of two odd numbers

c.None of these

d.Product of two odd numbers

124. The total number of even prime numbers is ?

a.2

b.1

c.None of these

d.0

125. 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.7

b.5

c.6

d.4

126. 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.1:3

b.2:3

c.1:4

d.Data inadequate

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

a.9

b.7

c.5

d.6

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

a.26

b.25

c.27

d.24

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

a.1, 9

b.3, 7

c.4, 6

d.5, 5

130. 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.22

c.18

d.36

131. 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.1.65

b.0.05

c.1.96

d.1.05

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

a.75°

b.65°

c.70°

d.80°

133. 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.Sampling

b.Sample

c.Population

d.Standardized normal

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

a.33

b.39

c.37

d.35

135. 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.16000

c.10000

d.14000

136. 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.1/9

b.1/2

c.7/15

d.8/15

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

a.14

b.6

c.12

d.18

138. 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.11

b.17

c.13

d.19

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

a.6% of a

b.10% of a

c.8% of a

d.4% of a

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

a.Rs. 87

b.Rs. 84

c.Rs. 80

d.Rs. 90

141. 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.8 seconds

b.5 Seconds

c.7 Seconds

d.6 Seconds

142. 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.28.31

b.28.61

c.29.13

d.38.81

143. 3578 + 5729 - ?486 = 5821

a.2

b.None of these

c.1

d.3

144. 1307 * 1307 = ?

a.1601249

b.1708249

c.1607249

d.1701249

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

a.610

b.645

c.630

d.660

146. 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.46 kg

b.45 kg

c.48 kg

d.47 kg

147. 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.11 only

b.1001

c.7 only

d.13 only

148. 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.18

b.72

c.36

d.10

149. 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.35

b.32

c.34

d.36

150. 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. 8400

b.Rs. 14,700

c.Rs. 11,900

d.Rs. 13,600

151. 325325 is a six-digit number. It is divisible by :

a.7 only

b.11 only

c.13 only

d.All 7, 11 and 13

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

a.351

b.357

c.358

d.356

153. - 95/19 = ?

a.0

b.5

c.-5

d.-4

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

a.Friday

b.Thursday

c.Sunday

d.Saturday

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

a.42135

b.41625

c.42735

d.42515

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

a.11

b.3

c.16

d.6

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

a.5

b.9

c.8

d.10

158. 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, transitive and symmetric

c.Reflexive and symmetric but not transitive

d.Reflexive and transitive but not symmetric

159. 7589 - ? = 3434

a.3246

b.721

c.4155

d.11023

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

a.None of these

b.5

c.3

d.7

161. 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.4

b.5

c.1

d.3

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

a.3

b.8

c.5

d.6

163. 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.82

b.30

c.67

d.50

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

a.135792

b.114345

c.3572404

d.913464

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

a.345345

b.510510

c.440440

d.515513

166. 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.345, 342

c.None of these

d.240, 335

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

a.1

b.5

c.3

d.4

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

a.24

b.12

c.120

d.6

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

a.Divisible by 9

b.Divisible neither by 6 nor by 9

c.Divisible by 6

d.Divisible by both 6 and 9

170. 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.75

c.125

d.133

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

a.4

b.6

c.5

d.7

172. 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.None of these

b.200, 250, 300

c.300, 200, 250

d.200, 300, 400

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

a.50

b.35

c.10

d.20

174. 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.500 m

b.575 m

c.545 m

d.525 m

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

a.30

b.33

c.36

d.None of these

176. 5978 + 6134 + 7014 = ?

a.19126

b.19226

c.16226

d.19216

177. 8756 * 99999 = ?

a.796491244

b.None of these

c.815491244

d.875591244

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

a.2079

b.639

c.37911

d.3791

179. 9548 + 7314 = 8362 + ?

a.8600

b.8500

c.8410

d.8230

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

a.20

b.512

c.1024

d.100

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

a.0

b.1

c.2

d.3

182. (51 + 52 + 53 + ….. + 100) is equal to :

a.3775

b.3225

c.2525

d.2975

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

a.22

b.23

c.24

d.21

184. 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.2.3 m

b.4.6 m

c.7.8 m

d.9.2 m

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

a.3

b.None of these

c.5

d.4

186. 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. 700

b.Rs. 690

c.Rs. 650

d.Rs. 698

187. 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.1/3

c.2/3

d.3/4

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

a.140

b.130

c.135

d.125

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

a.1035

b.1280

c.2070

d.2140

190. 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.6

b.5

c.10

d.4

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

a.8

b.5

c.7

d.6

192. 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.III only

b.I and III only

c.I only

d.II only

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

a.166

b.150

c.149

d.151

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

a.Reflexive but not transitive

b.Neither symmetric nor transitive

c.Symmetric and Transitive

d.Reflexive but not symmetric

195. 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.20 hours

b.18 hours

c.24 hours

d.16 hours

196. 217 * 217 + 183 * 183 = ?

a.80698

b.81268

c.80578

d.79698

197. 397 * 397 + 104 * 104 + 2 * 397 * 104 = ?

a.251001

b.250001

c.261001

d.260101

198. The smallest three-digit prime number is :

a.103

b.109

c.None of these

d.107

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

a.5

b.4

c.7

d.6

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

a.None of these

b.5

c.2

d.8

201. 5358 * 51= ?

a.273348

b.273358

c.273258

d.273268

202. 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. 8000

b.Rs. 10,000

c.Rs. 6000

d.Rs. 7500

CUET 2024 Numerical Ability MCQ Question Answers – 100 MCQs for Practice

CUET 2024 Numerical Ability MCQ Question Answers for Various Entrance Exams

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