CBSE Class 4 Maths HCF and LCM Question Bank

Question. The HCF of two numbers is 15 and their LCM is 225. If one of the number is 75, then the other number is ?
a) 105
b) 90
c) 60
d) 45

Answer : D

Question. The largest number of five digits which, when divided by 16, 24, 30, or 36 leaves the same remainder 10 in each case, is ?
a) 99279
b) 99370
c) 99269
d) 99350

Answer : B

Question. The traffic lights at three different road crossings change after 24 seconds, 36 seconds and 54 seconds respectively. If they all change simultaneously at 10 : 15 : 00 AM, then at what time will they again change simultaneously ?
a) 10 : 16 : 54 AM
b) 10 : 18 : 36 AM
c) 10 : 17 : 02 AM
d) 10 : 22 : 12 AM

Answer : B

Question. Three tankers contain 403 litres, 434 litres, 465 litres of diesel respectively. Then the maximum capacity of a container that can measure the diesel of the three containers exact number of times is ?
a) 31 litres
b) 62 litres
c) 41 litres
d) 84 litres

Answer : A

Question. 84 Maths books, 90 Physics books and 120 Chemistry books have to be stacked topic wise. How many books will be there in each stack so that each stack will have the same height too ?
a) 12
b) 18
c) 6
d) 21

Answer : C

Question. Two numbers are in the ratio 3 : 4. The product of their H.C.F. and L.C.M. is 2028. The sum of the numbers is ?
a) 68
b) 72
c) 86
d) 91

Answer : D

Question. The LCM of two positive integers is twice the larger number. The difference of the smaller number and the GCD of the two numbers is 4. The smaller number is ?
a) 12
b) 6
c) 8
d) 10

Answer : C

Question. The LCM of two multiples of 12 is 1056. If one of the number is 132, the other number is ?
a) 12
b) 72
c) 96
d) 132

Answer : A

Question. The L.C.M. of two numbers is 1820 and their H.C.F. is 26. If one number is 130 then the other number is ?
a) 70
b) 1690
c) 364
d) 1264

Answer : C

Question. The least number, which when divided by 12, 15, 20 or 54 leaves a remainder of 4 in each case, is ?
a) 450
b) 454
c) 540
d) 544

Answer : D

Question. The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20, 28, 32 and 35, is ?
a) 1120
b) 4714
c) 5200
d) 5600

Answer : B

Question.The ratio of two numbers is 4 : 5 and their H.C.F. is 8. Then their L.C.M. is ?
a) 130
b) 140
c) 150
d) 160

Answer : D

Question.What is the least number which when divided by the numbers 3, 5, 6, 8, 10 and 12 leaves in each case a remainder 2 but when divided by 13 leaves no remainder ?
a) 312
b) 962
c) 1562
d) 1586

Answer : B

Question. The H.C.F. and L.C.M. of two numbers are 44 and 264 respectively. If the first number is divided by 2, the quotient is 44. The other number is ?
a) 147
b) 528
c) 132
d) 264

Answer : C

Question. Three numbers are in the ratio 1 : 2 : 3 and their HCF is 12. The numbers are ?
a) 12, 24, 36
b) 5, 10, 15
c) 4, 8, 12
d) 10, 20, 30

Answer : A

Question. The least perfect square, which is divisible by each of 21, 36 and 66 is ?
a) 214344
b) 214434
c) 213444
d) 231444

Answer : C

Question. The product of two numbers is 1280 and their H.C.F. is 8. The L.C.M. of the number will be ?
a) 160
b) 150
c) 120
d) 140

Answer : A

Question. The LCM of two numbers is 1920 and their HCF is 16. If one of the number is 128, find the other number ?
a) 204
b) 240
c) 260
d) 320

Answer : B

Question. Three numbers are in the ratio 2 : 3 : 4 and their H.C.F. is 12. The L.C.M. of the numbers is ?
a) 144
b) 192
c) 96
d) 72

Answer : A

Question. Find the greatest number that will divide 390, 495 and 300 without leaving a remainder ?
a) 5
b) 15
c) 25
d) 35

Answer : B

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