CBSE Class 5 Mathematics HCF And LCM Worksheet

Question. The H.C.F. and L.C.M. of two numbers are 21 and 84 respectively. If the ratio the two numbers is 1 : 4, then the larger of the two numbers is ?
a) 12
b) 108
c) 48
d) 84

Answer : D

Question. If the HCF and LCM of two consecutive (positive) even numbers be 2 and 84 respectively, then the sum of the numbers is ?
a) 30
b) 26
c) 14
d) 34

Answer : B

Question. From a point on a circular track 5 km long A, B and C started running in the same direction at the same time with speed of 2 and 1/2 km per hour, 3 km per hour and 2 km per hour respectively. Then on the starting point all three will meet again after ?
a) 30 hours
b) 6 hours
c) 10 hours
d) 15 hours

Answer : C

Question. 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 is ?
a) 17004
b) 18000
c) 18002
d) 18004

Answer : D

Question. The H.C.F and L.C.M of two numbers are 12 and 336 respectively. If one of the number is 84, the other is ?
a) 36
b) 48
c) 72
d) 96

Answer : B

Question. The greatest number that will divide 729 and 901 leaving remainders 9 and 5 respectively, is ?
a) 15
b) 16
c) 19
d) 20

Answer : B

Question. The greatest four digit number which is exactly divisible by each one of the numbers 12, 18, 21 and 28 is ?
a) 9828
b) 9288
c) 9882
d) 9928

Answer : A

Question. The HCF (GCD) of a, b is 12, a, b are positive integers and a > b > 12. The smallest values of (a, b) are respectively ?
a) 12, 24
b) 24, 12
c) 24, 36
d) 36, 24

Answer : D

Question.Which greatest number will divide 3026 and 5053 leaving remainders 11 and 13 respectively ?
a) 18
b) 30
c) 45
d) 60

Answer : C

Question. The least number to be subtracted from 36798 to get a number which is exactly divisible by 78 is ?
a) 18
b) 60
c) 38
d) 68

Answer : B

Question. The least number, which when divided by 4, 5 and 6 leaves remainder 1, 2 and 3 respectively, is ?
a) 57
b) 59
c) 61
d) 63

Answer : A

Question. Four bells ring at intervals of 4, 6, 8 and 14 seconds. They start ringing simultaneously at 12.00 O’clock. At what time will they again ring simultaneously ?
a) 12 hrs. 2 min. 48 sec
b) 12 hrs. 3 min
c) 12 hrs. 3 min. 20 sec
d) 12 hrs. 3 min. 44 sec

Answer : A

Question. Three electronic devices make a beep after every 48 seconds, 72 seconds and 108 seconds respectively. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest is ?
a) 10 : 07 : 12 hours
b) 10 : 07 : 24 hours
c) 10 : 07 : 36 hours
d) 10 : 07 : 48 hours

Answer : A

Question. The sum of two numbers is 84 and their HCF is 12. Total number of such pairs of number is ?
a) 2
b) 3
c) 4
d) 5

Answer : B

Question. The H.C.F. and L.C.M. of two 2-digit numbers are 16 and 480 respectively. The numbers are ?
a) 40, 48
b) 60, 72
c) 64, 80
d) 80, 96

Answer : D

Question.Three men step off together from the same spot. Their steps measure 63 cm, 70 cm and 77 cm respectively. The minimum distance each should cover so that all can cover the distance in complete steps is ?
a) 9630 cm
b) 9360 cm
c) 6930 cm
d) 6950 cm

Answer : C

Question. Find the largest number of four digits such that on dividing by 15, 18, 21 and 24 the remainders are 11, 14, 17 and 20 respectively ?
a) 6557
b) 7556
c) 5675
d) 7664

Answer : B

Question. The maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each student gets same number of pens and same number of pencils, is ?
a) 91
b) 910
c) 1001
d) 1911

Answer : A

Question. The largest number, which divides 25, 73 and 97 to leave the same remainder in each case, is ?
a) 24
b) 23
c) 21
d) 6

Answer : A

Question. The greatest 4-digit number exactly divisible by 10, 15, 20 is ?
a) 9990
b) 9960
c) 9980
d) 9995

Answer : B

Question. The ratio of two numbers is 4 : 5 and their L.C.M. is 120. The numbers are
a) 30, 40
b) 40, 32
c) 24, 30
d) 36, 20

Answer : C

Question.The sum of two numbers is 36 and their H.C.F. is 4. How many pairs of such numbers are possible ?
a) 1
b) 2
c) 3
d) 4

Answer : C

Question. A number which when divided by 10 leaves a remainder of 9, when divided by 9 leaves a remainder of 8, and when divided by 8 leaves a remainder of 7, is ?
a) 1539
b) 539
c) 359
d) 1359

Answer : C

Question. The product of two numbers is 2028 and their HCF is 13. The number of such pairs is ?
a) 1
b) 2
c) 3
d) 4

Answer : B

Question. A milk vendor has 21 litres of cow milk, 42 litres of toned milk and 63 litres of double toned milk. If he wants to pack them in cans so that each can contains same litres of milk and does not want to mix any two kinds of milk in a can, then the least number of cans required is ?
a) 3
b) 6
c) 9
d) 12

Answer : B

Question. The greatest number, that divides 122 and 243 leaving respectively 2 and 3 as remainders, is ?
a) 12
b) 24
c) 30
d) 120

Answer : D

Question. The smallest number, which when divided by 5, 10, 12 and 15, leaves remainder 2 in each case; but when divided by 7 leaves no remainder, is ?
a) 189
b) 182
c) 175
d) 91

Answer : B

Question. If the product of three consecutive numbers is 210 then sum of the smaller number is ?
a) 3
b) 4
c) 5
d) 11

Answer : D

Question. The number nearest to 43582 divisible by each of 25, 50 and 75 is ?
a) 43500
b) 43650
c) 43600
d) 43550

Answer : B

Question. Find the greatest number of five digits which when divided by 3, 5, 8, 12 have 2 as remainder ?
a) 99999
b) 99958
c) 99960
d) 99962

Answer : D

Question. A, B, C start running at the same time and at the same point in the same direction in a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds. After what time will they meet again at the starting point ?
a) 26 minutes 18 seconds
b) 42 minutes 36 seconds
c) 45 minutes
d) 46 minutes 12 seconds

Answer : D

Question. The HCF of 70, 126 and 196 is..
a) 10.
b) 14.
c) 16
d) 20

Answer : B

Question. The LCM of 18, 30 and 48 is..
a) 369
b) 180.
c) 720
d) 450

Answer : C

Question. The HCF of 128 ,136 and 512 is..
a) 8.
b) 12
c) 16
d) 27

Answer : A

Question. The product of two numbers is 2736. If there LCM is 1368 what is their HCF?
a) 38.
b) 72.
C) 2
d) 4

Answer : C

Question. Find the smallest number that is divisible by 28 ,42 and 56.

Answer : 168

Question. Find the greatest number that will exactly divide 1065 and 1491.

Answer : 213

Question. What is the least number of sapling that can be arrange in rows of 12 15 or 40 in each row?

Answer : 120

Question. The HCF and LCM of two numbers are 25 and 5525 respectively. If one of the number is 325, find the other number.

Answer : 425

Question. find the greatest number that will divide 56 and 108 exactly.

Answer : 4

Question. Two tanks contain 250 l and 425 l of water respectively what will be thema ximum capacity of a bucket that can exactly measure water in the two tanks?

Answer : 25 litre

Please click the below link to access CBSE Class 5 Mathematics Worksheet- HCF and LCM