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

Problems on H.C.F and L.C.M
The H.C.F of 2923 and 3239 is :

37
73
47
79

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Three numbers are in the ratio 1:2:3 and their H.C.F is 12. The numbers are:

5, 10, 15
4, 8, 12
10, 20, 30
10, 20, 30

ANSWER DOWNLOAD EXAMIANS APP

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

1260
360
540
180

ANSWER DOWNLOAD EXAMIANS APP

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

88
55
66
77

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
Which of the following has the most number of divisors?

101
99
182
176

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Option A, 176 = 1 x 2 x 2 x 2 x 2 x 11.Option B, 182 = 1 x 2 x 7 x 13. Option C, 99 = 1 x 3 x 3 x 11. Option D, 101 = 1 x 101.Divisors of 99 are 1, 3, 9, 11, 33, 99.Divisors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88 and 176. Divisors of 182 are 1, 2, 7, 13, 14, 26, 91 and 182.Hence, 176 have the most number of divisors.

Problems on H.C.F and L.C.M
Find the smallest number of five digits exactly divisible by 16,24,36 and 54.

10468
10368
10268
10568

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Smallest number of five digits is 10000.       Required number must be divisible by L.C.M. of 16,24,36,54 i.e 432,       On dividing 10000 by 432,we get 64 as remainder.    Required number = 10000 +( 432 – 64 ) = 10368.

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