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Problems on H.C.F and L.C.M

Problems on H.C.F and L.C.M
If LCM of two number is 693, HCF of two numbers is 11 and one number is 99, then find other

77
66
55
88

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Product of two numbers = Product of their HCF and LCMSo Other number =(693×11/99)                              = 77

Problems on H.C.F and L.C.M
The least number which should be added to 2497 so that the sum is exactly divisible by 5,6,4 and 3 is :

3
33
13
23

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The least number which should be added to 2497 so that sum is divisible by 5, 6, 4, 3?

23
21
27
25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

LCM of 5,6,4,3 is 60.On dividing 2497 by 60 we get 37 as remainder.Therefore number to be added is 60 - 37 =23.

Problems on H.C.F and L.C.M
Find the least multiple of 23,which when divided by 18,21 and 24 leaves remainders 7,10 and 13 respectively.

3013
3024
3002
3036

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
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:

12
4
6
8

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
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.

55 cm
25 cm
45 cm
35 cm

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required length = H.C.F. of 495 cm, 900 cm and 1665 cm.          495 = 3² x 5 x 11, 900 = 2² x 3² x 5², 1665 = 3² x 5 x 37.      H.C.F. = 32 x 5 = 45.          Hence, required length = 45 cm.

MORE MCQ ON Problems on H.C.F and L.C.M

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