CBSE Class 5 Mathematics HCF and LCM Question Bank

Question - The HCF of two numbers 12906 and 14818 is 478. Their LCM is ?
a) 400086
b) 200043
c) 600129
d) 800172

Answer : A

Question - The least multiple of 13, which on dividing by 4, 5, 6, 7 and 8 leaves remainder 2 in each case is ?
a) 2520
b) 842
c) 2522
d) 840

Answer : C

Question - The greatest number by which 2300 and 3500 are divided leaving the remainders of 32 and 56 respectively, is ?
a) 136
b) 168
c) 42
d) 84

Answer : D

Question - The number of pair of positive integers whose sum is 99 and HCF is 9 is ?
a) 2
b) 3
c) 4
d) 5

Answer : D

Question - The HCF of two numbers is 23 and the other two factors of their LCM are 13 and 14. The larger of the two numbers is ?
a) 276
b) 299
c) 345
d) 322

Answer : D

Question - If the students of a class can be grouped exactly into 6 or 8 or 10, then the minimum number of students in the class must be ?
a) 60
b) 120
c) 180
d) 240

Answer : B

Question - The greatest number of four digits which when divided by 3, 5, 7, 9 leave remainders 1, 3, 5, 7 respectively is ?
a) 9763
b) 9764
c) 9766
d) 9765

Answer : A

Question - 4 bells ring at intervals of 30 minutes, 1 hour, 1 and 1/2 hour and 1 hour 45 minutes respectively. All the bells ring simultaneously at 12 noon. They will again ring simultaneously at ?
a) 12 mid night
b) 3 a.m
c) 6 a.m
d) 9 a.m

Answer : D

Question - Three bells ring at intervals of 36 seconds, 40 seconds and 48 seconds respectively. They start ringing together at a particular time. They will ring together after every ?
a) 6 minutes
b) 12 minutes
c) 18 minutes
d) 24 minutes

Answer : B

Question - Let N be the greatest number that will divide 1305, 4665 and 6905 leaving the same remainder in each case. Then, sum of the digits in N is ?
a) 4
b) 5
c) 6
d) 8

Answer : A

Question - In a school, 391 boys and 323 girls have been divided into the largest possible equal classes, so that each class of boys numbers the same as each class of girls. What is the number of classes ?
a) 23
b) 19
c) 44
d) 17

Answer : D

Question - Two numbers are in the ratio 3 : 4. If their LCM is 240, the smaller of the two number is ?
a) 100
b) 80
c) 60
d) 50

Answer : C

Question - The LCM of two numbers is 48. The numbers are in the ratio 2 : 3. The sum of the numbers is ?
a) 28
b) 32
c) 40
d) 64

Answer : C

Question - The product of the LCM and the HCF of two numbers is 24. If the difference of the numbers is 2, then the greater of the number is ?
a) 3
b) 4
c) 6
d) 8

Answer : C

Question - The sum of a pair of positive integer is 336 and their H.C.F. is 21. The number of such possible pairs is ?
a) 2
b) 3
c) 4
d) 5

Answer : C

Question - Let x be the smallest number, which when added to 2000 makes the resulting number divisible by 12, 16, 18 and 21. The sum of the digits of x is ?
a) 7
b) 5
c) 6
d) 4

Answer : A

Question - A farmer has 945 cows and 2475 sheep. He farms them into flocks, keeping cows and sheep separate and having the same number of animals in each flock. If these flocks are as large as possible, then the maximum number of animals in each flock and total number of flocks required for the purpose are respectively ?
a) 15 and 228
b) 9 and 380
c) 45 and 76
d) 46 and 75

Answer : C

Question - Which is the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?
a) 2520
b) 1260
c) 630
d) 196

Answer : C

Question - Let x be the least number, which when divided by 5, 6, 7 and 8 leaves a remainder 3 in each case but when divided by 9 leaves no remainder. The sum of digits of x is ?
a) 21
b) 22
c) 18
d) 24

Answer : C

Question - If the ratio of two numbers is 2 : 3 and their L.C.M. is 54, then the sum of the two numbers is ?
a) 5
b) 15
c) 45
d) 270

Answer : C

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