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

Problems on H.C.F and L.C.M
he maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is:

91
1001
910
1911

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:

777
1045
364
1745

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

L.C.M. of 6, 9, 15 and 18 is 90.Let required number be 90k + 4, which is multiple of 7.Least value of k for which (90k + 4) is divisible by 7 is k = 4.Required number = (90 x 4) + 4 = 364.

Problems on H.C.F and L.C.M
The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:

508
208
408
308

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Other number = (11 x 7700/275) = 308.

Problems on H.C.F and L.C.M
The largest four – digit number which when divided by 4, 7 or 13 leaves a remainder of 3 in each case, is

9893
9834
8739
9831

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The Smallest number which when diminished by 7, is divisible by 12,16,18,21 and 28 is :

1022
1032
1008
1015

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:

36
48
18
24

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be 3x and 4x. Then, their H.C.F. = x. So, x = 4.So, the numbers 12 and 16.L.C.M. of 12 and 16 = 48.

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

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