Problems Related To HCF And LCM MCQs For Job's Test Preparation

1 - A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. Aft





46 minutes and 12 seconds

2 - 1095/1168 when expressed in simplest form is:





15/16

3 - 1095/1168 when expressed in simplest form is:





15/16

4 - 252 can be expressed as a product of primes as:





2 x 2 x 3 x 3 x 7

5 - 252 can be expressed as a product of primes as_______________?





2 * 2 * 3 * 3 * 7

6 - 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 doesn’t want to mix any two drinks in a can. What is the least number of cans required?





37

7 - 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 doesn't want to





37

8 - 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 wa





845

9 - 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?





845

10 - 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?





31

11 - 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_______?





31

12 - 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?





7203

13 - 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?





7203

14 - A man was employed on the promise that he will be paid the highest wages per day. The contract money to be paid was Rs. 1189. Finally he was paid only Rs. 1073. For how many days did he actually work?





37

15 - A man was employed on the promise that he will be paid the highest wages per day. The contract money to be paid was Rs. 1189. Finally he was paid only Rs. 1073. For how many days did he actually work?





37

16 - A merchant has three different types of milk: 435 liters, 493 liters and 551 liters. Find the least number of casks of equal size required to store all the milk without mixing.





51

17 - A merchant has three different types of milk: 435 liters, 493 liters and 551 liters. Find the least number of casks of equal size required to store all the milk without mixing.





51

18 - A rectangular courtyard 3.78 meters long 5.25 meters wide is to be paved exactly with square tiles, all of the same size. what is the largest size of the tile which could be used for the purpose?





21 cms

19 - A rectangular courtyard 3.78 metres long and 2.25 metres wide is to be paved exactly with square title, all of the same size. What is the largest size of the tile which could be used for the purpose





21 cms

20 - A room is 4 meters 37 cm long and 3 meters 23cm broad. It is required to pave the floor with minimum square slabs. Find the number of slabs required for this purpose?





391

21 - A room is 4 meters 37 cm long and 3 meters 23cm broad. It is required to pave the floor with minimum square slabs. Find the number of slabs required for this purpose?





391

22 - 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?





117

23 - 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?





117

24 - 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 th





12

25 - 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?





12

26 - A, B and C start at the same time in the direction to run around a circular stadium. A completes a round in 252 seconds and C in 198 seconds, all starting at the same point. after what time will they





46 minutes 12 econds

27 - A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. Aft





46 min 12 sec

28 - A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. Aft





46 minutes 12 seconds

29 - A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?





46 min 12 sec

30 - A, B and C start running around a circular stadium and complete one round in 27 s, 9 s and 36 s, respectively. In how much time will they meet again at the starting point?





1 minute 48 seconds

31 - A. B. and C. start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds.all starting at the same point.





46 minutes 12 seconds.

32 - An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest,





0.43819444444

33 - 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?





3

34 - 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?





3

35 - Express 1168/1095 in simple form?





16/15

36 - Find he smallest number of five digits exactly divisible by 16, 24, 36 and 54 .





10368

37 - Find largest number of 4 digits divisible by 12, 15, 18, 27 ?





9720

38 - Find the greatest 4-digit number exactly divisible by 3, 4 and 5?





9960

39 - Find the greatest 4-digit number exactly divisible by 3, 4 and 5?





9960

40 - 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?





9654

41 - 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?





9654

42 - Find the greatest number that exactly divides 35, 91 and 840?





7

43 - Find the greatest number that exactly divides 35, 91 and 840?





7

44 - Find the Greatest Number that will devide 43, 91 and 183 so as to leave the same remainder in each case





4

45 - Find the greatest number that will divide 147,185 and 251 leaving the remainders 3,5 and 11 respectively.





12

46 - Find the greatest number that will divide 172, 205 and 304 so as to leave the same remainder in each case?





33

47 - Find the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively





16

48 - Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.





4

49 - Find the greatest number that will divided 43,91 and 183 so as to leave the same remainder in each case





4

50 - Find the greatest number that, while dividing 47, 215 and 365, gives the same remainder in each case?





5

51 - Find the greatest number that, while dividing 47, 215 and 365, gives the same remainder in each case?





5

52 - Find the greatest number which is such that when 697, 909 and 1227 are divided by it, the remainders are all the same?





106

53 - Find the greatest number which is such that when 697, 909 and 1227 are divided by it, the remainders are all the same?





106

54 - Find the greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively.





127

55 - Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively





127

56 - Find the greatest number which will divide 25, 73 and 97 as so to leave the same remainder in each case?





24

57 - Find the greatest number which will divide 25, 73 and 97 as so to leave the same remainder in each case?





24

58 - Find the greatest number which, while dividing 19, 83 and 67, gives a remainder of 3 in each case?





16

59 - Find the greatest number which, while dividing 19, 83 and 67, gives a remainder of 3 in each case?





16

60 - Find the greatest possible length which can be used to measure exactly the length 4 m 95 cm . , 9 m and 16 m 65 cm.





45 cm.

61 - Find the greatest possible length which can be used to measure exactly the lengths 4 m 95 cm, 9 m and 16 m 65 cm.





45 cm

62 - Find the H.C.F of 12, 16, 18 and 24?





2

63 - Find the H.C.F of 12, 16, 18 and 24?





2

64 - Find the H.C.F of 204, 1190 and 1445?





17

65 - Find the H.C.F of 204, 1190 and 1445?





17

66 - Find the H.C.F of 54/9, 3 9/17 and 36/51?





6/153

67 - Find the H.C.F of 54/9, 3 9/17 and 36/51?





6/153

68 - Find the H.C.F. of 513, 1134 and 1215.





27

69 - Find the HCF of 2.1, 1.05 and 0.63





0.21

70 - Find the HCF of 54, 288, 360





18

71 - Find the HCF of of 0.36, 0.48, 0.72 and 2.4





0.12

72 - Find the highest common factor of 36 and 84.





12

73 - Find the highest common factor of 36 and 84.





12

74 - Find the L.C.M of 2/15, 3/10, 6/5





45082

75 - Find the L.C.M of 2/15, 3/10, 6/5





45082

76 - Find the L.C.M. of 16, 24, 36 and 54.





432

77 - Find the L.C.M.. of 72, 108 and 2100.





37800

78 - Find the largest number of four digits exactly divisible by 12, 15, 18 and 27.





9720

79 - Find the largest number of four digits exactly divisible by 12,15,18 and 27.





9720

80 - Find the largest number of four digits which is exactly divisible by 27,18,12,15





9720

81 - Find the largest number which divides 62 , 132 and 237 to leave the same remainder in each case .





35

82 - Find the largest number which divides 62, 132 and 237 to leave the same remainder in each case.





35

83 - Find the largest number which divides 62,132,237 to leave the same reminder





35

84 - Find the least multiple of 13 which when divided by 6, 8 and 12 leaves 5, 7 and 11 as remainders respectively?





143

85 - Find the least multiple of 13 which when divided by 6, 8 and 12 leaves 5, 7 and 11 as remainders respectively?





143

86 - Find the least multiple of 23, which when divided by 18, 21 and 24 leaves remainders 7, 10 and 13 respectively.





3013

87 - Find the least multiple of 23, which when divided by 18, 21 and 24 leaves remainders 7, 10 and 13 respestively.





3013

88 - Find the least multiple of 23,which when divided by 18,21 and 24 leaves remainders 7,10 and 13 respectively.





3013

89 - Find the least number of five digits which is exactly divisible by 12, 15 and 18?





10080

90 - Find the least number of five digits which is exactly divisible by 12, 15 and 18?





10080

91 - Find the least number which when divide by 2, 3, 4, 5 and 6 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 7 leaves no remainder?





119

92 - Find the least number which when divide by 2, 3, 4, 5 and 6 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 7 leaves no remainder?





119

93 - Find the least number which when divided by 16, 18, 20 and 2 leaves 4 as remainder in each case , but when divided by 7 leaves no. remainder





18004

94 - Find the least number which when divided by 16, 18, 20 and 25 leaves 4 as remainder in each case, but when divided by 7 leaves no remainder.





18004

95 - Find the least number which when divided by 20,25,35 and 40 leaves remainders 14,19,29 and 34 respectively.





1394

96 - Find the least number which when divided by 26, 36 and 46 leaves the remainders 12, 22 and 32 respectively.





10750

97 - Find the least number which when divided by 35 leaves remainder 25, when divided by 25 leaves remainder 15 and when divided by 15 leaves remainder 5?





515

98 - Find the least number which when divided by 35 leaves remainder 25, when divided by 25 leaves remainder 15 and when divided by 15 leaves remainder 5?





515

99 - Find the least number which when divided by 5,6,7, and 8 leaves a remainder 3, but when divided by 9 leaves no remainder .





1683

100 - Find the least number which when divided by 6, 7, 8, 9 and 10 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 19 leaves no remainder?





5035

101 - Find the least number which when divided by 6, 7, 8, 9 and 10 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 19 leaves no remainder?





5035

102 - Find the least number which when divided by 6,7,8,9, and 12 leave the same remainder 1 each case





505

103 - Find the least square number which is divisible by 10, 12, 15 and 18?





900

104 - Find the least square number which is divisible by 10, 12, 15 and 18?





900

105 - Find the least which when divided y 16,18,20, and 25 leaves 4 as remainder in each case, but when divided by 7 leaves no remainder.





18004

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





1022

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





1022

108 - Find the lowest common multiple of 24, 36 and 40.





360

109 - Find the lowest common multiple of 24, 36 and 40.





360

110 - 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?





34

111 - 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?





34

112 - Find the smallest number of five digits exactly divisible by 16,24,36 and 54.





10368

113 - Find the smallest number of two digits which on being divided by 2, 3, 4 and 5 leaves 0, 1, 2 and 3 as remainder respectively.





58

114 - Find the smallest number which when increased by 5 is divisible by 9, 21, 25 and 30.?





3145

115 - Find the smallest number which when increased by 5, divisible by 6, 9, 15, 20 and 24?





355

116 - Find the smallest number which when increased by 5, divisible by 6, 9, 15, 20 and 24?





355

117 - 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?





5 min

118 - 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?





5 min

119 - Five bells ring together and ring at intervals of 2, 6, 8, 12 and 15 seconds respectively. How many times will they ring together in 60 minutes?





31

120 - Four bells begin to toll together respectively at the intervals of 8, 10, 12 and 16 seconds. After how many seconds will they toll together again?





240 seconds

121 - Four bells begin to toll together respectively at the intervals of 8, 10, 12 and 16 seconds. After how many seconds will they toll together again?





240 seconds

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





72

123 - H.C.F of 3240, 3600 and a third number is 36 and their L.C.M is 24 * 35 * 52 * 72. The third number is___________?





22 * 35 * 72

124 - H.C.F of 4 * 27 * 3125, 8 * 9 * 25 * 7 and 16 * 81 * 5 * 11 * 49 is:





180

125 - H.C.F of 4 * 27 * 3125, 8 * 9 * 25 * 7 and 16 * 81 * 5 * 11 * 49 is___________?





180

126 - H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is





180

127 - H.C.F. of 4 x 27 x 3125, 8 x 9 x 25 x 7 & 16 x 81 x 5 x 11 x 49 is:





180

128 - HCF and LCM two numbers are 12 and 396 respectively. If one of the numbers is 36, then the other number is?





132

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





132

130 - HCF of 3/16, 5/12, 7/8 is:





17533

131 - HCF of 3/16, 5/12, 7/8 is__________?





17533

132 - HCF of two numbers is 27 and sum of the two numbers is 216. How many such pairs of numbers are possible?





2

133 - he maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is:





91

134 - How many minimum number’s of whole square slabs are required for paving the floor 12.96 meters long and 3.84 meters side?





216

135 - How many minimum number's of whole square slabs are required for paving the floor 12.96 meters long and 3.84 meters side?





216

136 - If LCM of two number is 693, HCF of two numbers is 11 and one number is 99, then find other





77

137 - If the product of two numbers is 84942 and their H.C.F. is 33, find their L.C.M.





2574

138 - If the sum of two numbers is 55 and the H.C.F and L.C.M of these numbers are 5 and 120 respectively, then the sum of the reciprocal of the numbers is equal to:





11/120

139 - If the sum of two numbers is 55 and the H.C.F and L.C.M of these numbers are 5 and 120 respectively, then the sum of the reciprocal of the numbers is equal to___________?





11/120

140 - If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:





11/120

141 - In a school, the number of students in Sections A , B and C of 10th class are 70,98 and 126 respectively. Due to overload of student in each class , the administration wants to increase the number roo





21

142 - In finding the HCF of two numbers, the last divisor was 41 and the successive quotients, starting from the first, where 2, 4 and 2. The numbers are?





820369

143 - In finding the HCF of two numbers, the last divisor was 41 and the successive quotients, starting from the first, where 2, 4 and 2. The numbers are______?





820369

144 - L.C.M of two prime numbers x and y (x>y) is 161. The value of 3y-x is :





-2

145 - LCM of 0.12, 0.15, 0.2 and 0.54?





5.4

146 - LCM of 1/3, 5/6, 5/4, 10/7 is:





10

147 - LCM of 1/3, 5/6, 5/4, 10/7 is_________?





10

148 - LCM of 18 and 27 is:





54

149 - LCM of 18 and 27 is_________?





54

150 - LCM of 455, 117, 338 is:





106470

151 - LCM of 455, 117, 338 is________?





106470

152 - LCM of 87 and 145 is:





435

153 - LCM of 87 and 145 is_______?





435

154 - 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?





138

155 - Least perfect square number, exactly divisible by 21, 36 and 56 is?





7056

156 - Least perfect square number, exactly divisible by 21, 36 and 56 is_________?





7056

157 - Let the leas number of six digits. which when divided by 4, 6, 10 and 15 leaves in each case the same remainder of 2 be N. The sum of the digits in N is





5

158 - Let the least number of six digits, which when divided by 4, 6, 10 and 15, leaves in each case the same remainder of 2, be N. The sum of the digits in N is:





5

159 - Let the least number of six digits,which when divided by 4,6,10 and 15 leaves in each case the same remainder of 2, be N. The sum of the digits in N is :





5

160 - Product of two co-prime numbers is 117. Their L.C.M should be





117

161 - Product of two co-prime numbers is 117. Their L.C.M should be:





117

162 - Product of two co-prime numbers is 117. Their L.C.M should be__________?





117

163 - Reduce 391/667 to lowest terms .





17/29

164 - Reduce 4128/4386 to its lowest terms





16/17

165 - Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?





16

166 - Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?





16

167 - Six bells commence tolling together and toll at intervals of 2,4,6,8,10 and 12 seconds respectively. in 30 m9nutes,how many times do they toll together ?





16

168 - Six bells commence tolling together and toll at the intervals of 2,4,6,8,10,12 seconds resp. In 60 minutes how many times they will toll together.





31

169 - Six belts commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes. how many times do they toll together ?





16

170 - The G.C.D of 1.08, 0.36 and 0.9 is





0.18

171 - The G.C.D of 1.08, 0.36 and 0.9 is





0.18

172 - The G.C.D of 1.08, 0.36 and 0.9 is________?





0.18

173 - The G.C.D. of 1.08, 0.36 and 0.9 is:





0.18

174 - The greatest number of five digits which is divisible by 32, 36, 40, 42 and 48 is:





90720

175 - The greatest number of five digits which is divisible by 32, 36, 40, 42 and 48 is_________?





90720

176 - The greatest number of four digits that have 144 for their HCF is?





9936

177 - The greatest number of four digits that have 144 for their HCF is___________?





9936

178 - The greatest number of four digits which is divisible by 15, 24, 40 and 75 is :





9600

179 - The greatest number that exactly divided 105, 1001 and 2436 is





7

180 - The greatest number which can divide 1356, 1868 and 2764 leaving the same remainder 12 in each case, is:





64

181 - The greatest number which can divide 1356,1868 and 2764 leaving the same remainder 12 in each case, is :





64

182 - The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is :





127

183 - The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:





127

184 - The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is_________?





127

185 - The greatest possible length which can be used to measure exactly the length 7 m, 3 m 85 cm, 12 m 95 cm is :





35 cm

186 - The greatest possible length which can be used to measure exactly the length 7m, 3m 85cm, 12 m 95 cm is





35 cm

187 - The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:





35 cm

188 - The H.C.F and L.C.M of two numbers are 11 and 385 respectively. If one number lies between 75 and 125 , then that number is





77

189 - 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





84

190 - 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:





84

191 - 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____________?





84

192 - The H.C.F of 204, 1190 and 1445 is:





17

193 - The H.C.F of 2923 and 3239 is :





79

194 - 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





308

195 - 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:





308

196 - 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__________?





308

197 - The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 13 and 14. The larger of the two numbers is:





322

198 - The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 13 and 14. The larger of the two numbers is___________?





322

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





60

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





60

201 - The H.C.F. and L.C.M. of two numbers are 11 and 385 respectively. If one number lies between 75 and 125, then that number is:





77

202 - The H.C.F. and L.C.M. of two numbers are 12 and 5040 respectively If one of the numbers is 144, find the other number





420

203 - 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:





84

204 - The H.C.F. of 0.54, 1.8 and 7.2 is:





0.18

205 - The H.C.F. of 1.75, 5.6 and 7 is:





0.35

206 - The H.C.F. of 4 x 27 x 3125, 8 x 9 x 25 x 7 & 16 x 81 x 5 x 11 x 49 is





180

207 - The H.C.F. of two numbers is 11 and their L.C.M. is 693 . If one of the numbers is 77, find the other .





99

208 - The H.C.F. of two numbers is 11 and their L.C.M. is 693. If one of the numbers is 77,find the other.





99

209 - 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:





308

210 - The H.C.F. of two numbers is 12 and their difference is 12. The numbers are:





84, 96

211 - The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:





322

212 - The HCF of 2 numbers is 11 and LCM is 693.If one of numbers is 77.find the other number ?





99

213 - The HCF of two numbers is 42 and the other two factors of their LCM are 11 and 12. What is the largest number.





504

214 - The HCF of two numbers is 42 and the other two factors of their LCM are 11 and 12. What is the largest number.





504

215 - The L.C.M of 22, 54, 108, 135 and 198 is





5940

216 - The L.C.M of two numbers is 48. The numbers are in the ratio 2:3. The sum of numbers is:





40

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





40

218 - The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 10, then their difference is:





10

219 - The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 10, then their difference is__________?





10

220 - The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 100, then their difference is





10

221 - The L.C.M. of 22, 54, 108, 135 and 198 is:





5940

222 - The L.C.M. of two numbers is 45 times their H.C.F. If one of the numbers is 125 and the sum of H.C.F. and L.C.M. is 1150, the other number is:





225

223 - The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:





40

224 - The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is_________?





40

225 - The L.C.M. of two numbers is 48. The numbers are in the ratio 2:3. the sum of the numbers is:





40

226 - The largest four – digit number which when divided by 4, 7 or 13 leaves a remainder of 3 in each case, is





9831

227 - The largest four- digit number which when divided by 4, 7, or 13 leaves a remainder of 3 in each case is





9831

228 - The largest four-digit number which when divided by 4, 7 or 13 leaves a remainder of 3 in each case,is :





9831

229 - The leas number which when divided by 5, 6, 7 and 8 leaves a remainder 3 but when divided by 9 leaves no remainder, is :





1683

230 - The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is :





364

231 - The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:





364

232 - The least multiple of 7, which leaves a remainder of 4. when divided by 6, 9, 15 and 18 is:





364

233 - The least number of five digits that have 144 their HCF is?





10080

234 - The least number of five digits that have 144 their HCF is__________?





10080

235 - The least number of five digits which is exactly divisible by 12, 15 and 18, is:





10080

236 - The least number of five digits which is exactly divisible by 12,15 and 18 is :





10080

237 - The least number of four digits which is divisible by 15, 25, 40 and 75 is:





9600

238 - The least number of four digits which is divisible by 15, 25, 40 and 75 is_________?





9600

239 - The least number of four digits which is divisible by 4, 6, 8 and 10 is?





1080

240 - The least number of four digits which is divisible by 4, 6, 8 and 10 is_________?





1080

241 - The least number which is a perfect square and is divisible by each of the numbers 16, 20 and 24, is:





3600

242 - The least number which is a perfect square and is divisible by each of the numbers 16,20, and 24, is :





3600

243 - The least number which should be added to 2497 so that sum is divisible by 5, 6, 4, 3?





23

244 - The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:





23

245 - The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:





23

246 - The least number which should be added to 2497 so that the sum is exactly divisible by 5,6,4 and 3 is :





23

247 - The least number which when add 3 to it, completely divided 8, 12 and 18 is?





69

248 - The least number which when add 3 to it, completely divided 8, 12 and 18 is_______?





69

249 - The least number which when diminished by 7 is divisible by 21, 28, 36 and 45 is?





1267

250 - The least number which when diminished by 7 is divisible by 21, 28, 36 and 45 is________?





1267

251 - The least number which when divided by 16, 18 and 21, leave the remainder 3, 5 and 8 respectively is:





995

252 - The least number which when divided by 16, 18 and 21, leave the remainder 3, 5 and 8 respectively is___________?





995

253 - The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:





1683

254 - The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is





1683

255 - The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:





1683

256 - The least number which when divided by 5,6,7 And 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is :





1683

257 - The least number which when divided by 8, 12 and 16, leave in each remainder 3, is?





51

258 - The least number which when divided by 8, 12 and 16, leave in each remainder 3, is_______?





51

259 - The least number which when increased by 5 each divisible by each one of 24, 32, 36 and 54 is :





859

260 - The least number which when increased by 5 is divisible by each one of 24, 32, 36 and 54, is





859

261 - The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is





548

262 - The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:





548

263 - The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8, is :





548

264 - The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8, is:





548

265 - The least number, which when divided by 48, 60, 72, 108 and 140 leaves 38, 0, 62,98 and 130 as remainders respectively is .





15110

266 - The least number, which when divided by 48, 60, 72, 108 and 140 leaves 38, 50, 62, 98 and 130 as remainders respectively, is:





15110

267 - The least number,which when divided by 48,60,72,108 and 140 leaves 38,50,62,98 and 130 as remainder respectively, is :





15110

268 - The least positive integer which is a perfect square and also divisible by each of 6,12, 18 and 24?





144

269 - The least square number which divides 8, 12 and 18 is?





144

270 - The least square number which divides 8, 12 and 18 is________?





144

271 - The maximum number of student amoung them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :





91

272 - The maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is:





91

273 - The product of the L.C.M. and H.C.F. of two numbers is 24. The difference of two numbers is 2. Find the numbers.





6 and 4

274 - The product of two digits number is 2160 and their HCF is 12. The numbers are:





(36,60)

275 - The product of two digits number is 2160 and their HCF is 12. The numbers are________?





(36,60)

276 - The product of two numbers is 1320 and their H.C.F. is 6. the L.C.M. of the numbers is:





220

277 - The product of two numbers is 2025 and their HCF is 15 their LCM is:





135

278 - The product of two numbers is 2025 and their HCF is 15 their LCM is____________?





135

279 - The product of two numbers is 2028 and their H.C.F is 13. The number of such pairs is:





2

280 - The product of two numbers is 2028 and their H.C.F is 13. The number of such pairs is__________?





2

281 - The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:





2

282 - The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is:





111

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





111

284 - The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:





111

285 - The ratio of numbers is 3:4 and their H.C.F is 4. Their L.C.M is:





48

286 - The ratio of numbers is 3:4 and their H.C.F is 4. Their L.C.M is__________?





48

287 - The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:





48

288 - The smallest fraction, which each of 6/7, 5/14, 10/21 will divide exactly is:





30/7

289 - The smallest fraction, which each of 6/7, 5/14, 10/21 will divide exactly is_________?





30/7

290 - The smallest number when increased by " 1 " is exactly divisible by 12, 18, 24, 32 and 40 is:





1439

291 - The smallest number when increased by ” 1 ” is exactly divisible by 12, 18, 24, 32 and 40 is__________?





1439

292 - The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:





1015

293 - The smallest number which when diminished by 7, is divisible by 12, 16, 18, 21 and 28 is





1015

294 - The smallest number which when diminished by 7, is divisible by 12, 16, 18, 21 and 28 is:





1015

295 - The Smallest number which when diminished by 7, is divisible by 12,16,18,21 and 28 is :





1008

296 - The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively is?





1349

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





1349

298 - The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above condition is





4

299 - 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:





4

300 - 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__________?





4

301 - The traffic light at three different road crossing change after every 48 sec, 72 sec. and 108 sec. respectively . If they all change simultaneously at 8 : 20 : 00 hours, then at what time will they ag





8 : 27 : 12 hrs.

302 - The traffic lights at three different road crossings change after every 48 sec., 72 sec and 108 sec.respectively .If they all change simultaneously at 8:20:00 hours,then at what time they again change





8:27:12 hrs

303 - 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 t





1 min

304 - 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?





1 min

305 - 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?





5

306 - 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?





5

307 - There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and of the last three is 12673. Find the fourth number?





29

308 - There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and of the last three is 12673. Find the fourth number?





29

309 - Three friends Raju , Ramesh and Sunil start running around a circular stadium and complete a single round in 24 s, 36 s and 40 s, respectively. After how many minutes will they meet against at the sta





6 minutes

310 - Three men start together to travel the same way around a circular track of 11 kilometers in circumference. Their speeds are 4, 5 and 8 kilometers per hour respectively. When will they meet at a starti





11 hours

311 - Three men start together to travel the same way around a circular track of 11 kilometers in circumference. Their speeds are 4, 5 and 8 kilometers per hour respectively. When will they meet at a starting point?





11 hours

312 - Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:





40

313 - Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 12. The numbers are





12, 24, 36

314 - Three numbers are in the ratio 1:2:3 and their H.C.F is 12. The numbers are:





10, 20, 30

315 - Three numbers are in the ratio 1:2:3 and their H.C.F is 12. The numbers are__________?





12, 24, 36

316 - Three numbers are in the ratio 3:4:5 and their L.C.M is 2400. Their H.C.F is:





40

317 - Three numbers are in the ratio 3:4:5 and their L.C.M is 2400. Their H.C.F is:





40

318 - Three numbers are in the ratio of 2 : 3 : 4 and their L.C.M. is 240. Their H.C.F. is:





20

319 - 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 :





85

320 - 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:





85

321 - 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________?





85

322 - Two numbers 4242 and 2903 when divided by a certain number of three digits, leave the same remainder. Find the number?





103

323 - Two numbers 4242 and 2903 when divided by a certain number of three digits, leave the same remainder. Find the number?





103

324 - Two numbers are in the ratio 3 : 4. If their L.C.M. is 96. what is sum of the numbers?





56

325 - Two numbers are in the ratio of 15 : 11. If their H.C. F. is 13, Find he numbers .





195 and 143

326 - Two numbers are in the ratio of 15:11. If their H.C.F. is 13, find the numbers.





195, 143

327 - What is the greatest number that will divide 99, 147 and 219 leaving the same reminder in each case?





24

328 - What is the greatest number which divides 29, 32, 38 and leaves same remainder in each case?





3

329 - What is the HCF of 2/3, 4/9 and 6/5





16469

330 - What is the least number of that is exactly divisible by 4, 12, 15, and 18?





180

331 - What is the least number when divided by 4, 5, 6, 8 and 10 leaves 3 as remainder?





123

332 - What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder?





1683

333 - What is the least number which when divided by 6, 9, 12 and 18 leaves remainder 4 in each care?





40

334 - What is the least number which when divided by 8, 12, 18 and 24 leaves the remainders 4, 8, 14 and 20 respectively?





68

335 - What is the least number which when divided by 8, 12, 18 and 24 leaves the remainders 4, 8, 14 and 20 respectively?





68

336 - What is the least number, which when divided by 5,6,8,10 and 12 leaves the remainder 2 in each case , but when divided by 13 leaves no remainder ?





962

337 - What is the lowest common multiple of 12, 36 and 40?





360

338 - What is the side of the largest possible square brick which can be paved on the floor of a room 4m 96cm long and 4m 3cm broad?





31 cm

339 - What is the smallest number which when diminished by 8, is divisible by 9, 6, 12 and 18?





44

340 - What will be the LCM of 8, 24, 36 and 54





216

341 - What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?





630

342 - What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30?





630

343 - What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30?





630

344 - Which greatest possible length can be used to measure exactly 15 meter 75 cm, 11 meter 25 cm and 7 meter 65 cm





255 cm

345 - Which of the following fractions is the largest?





45115

346 - Which of the following fractions is the largest?





45115

347 - Which of the following has most number of divisors?





176

348 - Which of the following has most number of divisors?





176

349 - Which of the following has the most number of divisors?





176

350 - Which of the following has the most number of divisors?





176

351 - Which of the following integers has the most number of divisors?





176

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