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

Problems on H.C.F and L.C.M
What is the least number which when divided by 6, 9, 12 and 18 leaves remainder 4 in each care?

36
30
56
40

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The H.C.F and L.C.M of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1:4, then the larger of the two numbers is:

48
84
108
12

ANSWER DOWNLOAD EXAMIANS APP

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
4683
3683
1683

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
Find the smallest number which when increased by 5, divisible by 6, 9, 15, 20 and 24?

377
344
355
366

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

2
6
8
4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required number = H.C.F. of (91 - 43), (183 - 91) and (183 - 43)                                 = H.C.F. of 48, 92 and 140 = 4.

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.

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

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.

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

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