problems on l c m and h c f MCQs – Page 2

Practise focused problems on l c m and h c f questions with marked answers for exam preparation and subject revision.

problems on l c m and h c f Mcqs
51. HCF of 3/16, 5/12, 7/8 is__________?
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A. Feb-47

B. Mar-47

C. 1/48

D. May-48

52. HCF and LCM two numbers are 12 and 396 respectively. If one of the numbers is 36, then the other number is_______?
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A. 264

B. 36

C. 66

D. 132
53. Find the least multiple of 13 which when divided by 6, 8 and 12 leaves 5, 7 and 11 as remainders respectively? A. 143 B. 169 C. 260 D. 221
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A. 169

B. 143

C. 221

D. 260

54. A heap of coconuts is divided into groups of 2, 3 and 5 and each time one coconut is left over. The least number of Coconuts in the heap is_______?
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A. 51

B. 31

C. 61

D. 41

55. A room is 6 meters 24 centimeters in length and 4 meters 32 centimeters in width. Find the least number of square tiles of equal size required to cover the entire floor of the room?
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A. 124

B. 117

C. 110

D. 96

56. An officer was appointed on maximum daily wages on contract money of Rs. 4956. But on being absent for some days, he was paid only Rs. 3894. For how many days was he absent?
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A. 4

B. 5

C. 6

D. 3
57. The ratio of numbers is 3:4 and their H.C.F is 4. Their L.C.M is__________?
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A. 24

B. 48

C. 16

D. 12

58. The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively is________?
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A. 1994

B. 1494

C. 1349

D. 1496

59. LCM of 87 and 145 is_______?
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A. 875

B. 48

C. 1305

D. 435
60. H.C.F of 3240, 3600 and a third number is 36 and their L.C.M is 2<sup>4
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A. 2<sup>5</sup>* 5<sup>2</sup>* 7<sup>2</sup>

B. 2<sup>3</sup>* 3<sup>5</sup>* 7<sup>2</sup>

C. 2<sup>2</sup>* 5<sup>3</sup>* 7<sup>2</sup>

D. 22* 35* 72
61. Five bells first begin to toll together and then at intervals of 5, 10, 15, 20 and 25 seconds respectively. After what interval of time will they toll again together?
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A. None

B. 5 min

C. 5.2 min

D. 5.5 min

62. Product of two co-prime numbers is 117. Their L.C.M should be__________?
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A. equal to their H.C.F

B. 117

C. Cannot be calculated

D. 1

63. The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is_________?
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A. 107

B. 101

C. 185

D. 111
64. 1095/1168 when expressed in simplest form is:
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A. 15/16

B. 25/26

C. 17/26

D. 13/16

65. Find the least number of five digits which is exactly divisible by 12, 15 and 18?
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A. 10025

B. 1080

C. 10080

D. 11080

66. The G.C.D of 1.08, 0.36 and 0.9 is________?
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A. 0.9

B. 0.108

C. 0.03

D. 0.18
67. Two numbers 4242 and 2903 when divided by a certain number of three digits, leave the same remainder. Find the number?
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A. 101

B. 107

C. 103

D. 113

68. LCM of two numbers is 138. But their (Greatest common divisor) GCD is 23. The numbers are in a ratio 1:6. Which is the largest number amongst the two?
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A. 46

B. 138

C. 23

D. 69

69. The product of two numbers is 2025 and their HCF is 15 their LCM is____________?
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A. 2040

B. 2010

C. 150

D. 135
70. The least number which when divided by 16, 18 and 21, leave the remainder 3, 5 and 8 respectively is___________?
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A. 995

B. 893

C. 982

D. 1024

71. The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above conditions is__________?
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A. 6

B. 12

C. 4

D. 8

72. A gardener was asked a plant flowers in a row containing equal number of plants. He tried to plant 6, 8, 10 and 12 in each row, but 5 plants left in each case. When he planted 13 in a row, no plant was left. Find the number of plants with him?
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A. 485

B. 245

C. 125

D. 845
73. The greatest number of five digits which is divisible by 32, 36, 40, 42 and 48 is_________?
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A. 90730

B. 90715

C. 90725

D. 90720
74. A wholesale tea dealer 408 kilograms, 468 kilograms and 516 kilograms of three different qualities of tea. He wants it all to be packed into boxes of equal size without mixing. Find the capacity of the largest possible box?
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A. 12

B. 50

C. 24

D. 36

75. Find the H.C.F of 204, 1190 and 1445?
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A. 17

B. 204

C. 34

D. 85

76. A heap of stones can be made up into groups of 21. When made up into groups of 16, 20, 25 and 45 there are 3 stones left in each case. How many stones at least can there be in the heap?
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A. 7203

B. 3603

C. 4803

D. 2403

77. A drink vendor has 80 liters of Maaza, 144 liters of Pepsi and 368 liters of Sprite. He wants to pack them in cans, so that each can contains the same number of liters of a drink, and doesnt want to mix any two drinks in a can. What is the least number of cans required?
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A. 42

B. 37

C. 35

D. 30

78. There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number?
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A. 11

B. 7

C. 5

D. 13

79. Find the lowest 4-digit number which when divided by 3, 4 or 5 leaves a remainder of 2 in each case?
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A. 1030

B. 1022

C. 1020

D. 1026

80. The wheels revolve round a common horizontal axis. They make 15, 20 and 48 revolutions in a minute respectively. Starting with a certain point on the circumference down wards. After what interval of time will they come together in the same position?
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A. 2 min

B. None

C. 3 min

D. 1 min
81. LCM of 455, 117, 338 is________?
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A. 107470

B. 104670

C. 106470

D. 10670

82. Find the greatest number of four digits which when divided by 10, 15, 21 and 28 leaves 4, 9, 15 and 22 as remainders respectively?
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A. 9666

B. 9864

C. 9654

D. 9664

83. Greatest Common Divisor of two numbers is 8 while their Least Common Multiple is 144. Find the other number if one number is 16.
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A. 96

B. 36

C. 72

D. 108

84. Find the size of the largest square slabs which can be paved on the floor of a room 5 meters 44 cm long and 3 meters 74 cm broad?
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A. 38

B. 34

C. 56

D. 42

85. The H.C.F of two numbers is 8. Which of the following can never be their L.C.M?
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A. 56

B. 60

C. 48

D. 24

86. The L.C.M of two numbers is 48. The numbers are in the ratio 2:3. The sum of numbers is__________?
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A. 40

B. 64

C. 32

D. 28

87. The H.C.F and L.C.M of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1:4, then the larger of the two numbers is____________?
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A. 84

B. 48

C. 108

D. 12

88. Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is________?
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A. 89

B. 81

C. 85

D. 75

89. The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is_________?
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A. 305

B. 235

C. 127

D. 123

90. The least number of four digits which is divisible by 15, 25, 40 and 75 is_________?
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A. 9800

B. 9400

C. 9600

D. 9000

91. What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30?
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A. 2520

B. 630

C. 1260

D. 196

92. The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of the numbers is 275, then the other is__________?
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A. 279

B. 308

C. 283

D. 318

93. The least number of four digits which is divisible by 4, 6, 8 and 10 is_________?
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A. 1080

B. 1095

C. 1085

D. 1075