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

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

10, 20, 30
5, 10, 15
4, 8, 12
12, 24, 36

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the greatest number that, while dividing 47, 215 and 365, gives the same remainder in each case?

4
6
5
3

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Problems on H.C.F and L.C.M
Find the least number which when divided by 5,6,7, and 8 leaves a remainder 3, but when divided by 9 leaves no remainder .

2683
1683
3683
4683

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

L.C.M. of 5,6,7,8 = 840.    Required number is of the form 840k + 3     Least value of k for which (840k + 3) is divisible by 9 is k = 2. Required number = (840 X 2 + 3)=1683

Problems on H.C.F and L.C.M
The least number which when increased by 5 each divisible by each one of 24, 32, 36 and 54 is :

427
869
4320
859

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Problems on H.C.F and L.C.M
Two numbers are in the ratio of 15:11. If their H.C.F. is 13, find the numbers.

195, 143
295, 243
395, 343
95, 43

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the required numbers be 15.x and 11x.Then, their H.C.F. is x. So, x = 13.The numbers are (15 x 13 and 11 x 13) i.e., 195 and 143.

Problems on H.C.F and L.C.M
Six bells commence tolling together and toll at intervals of 2,4,6,8,10 and 12 seconds respectively. in 30 m9nutes,how many times do they toll together ?

4
15
16
10

ANSWER DOWNLOAD EXAMIANS APP
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