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

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

268
1015
689
432

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required number = (L.C.M. of 12,16, 18, 21, 28) + 7= 1008 + 7= 1015

Problems on H.C.F and L.C.M
Find the least number which when divide by 2, 3, 4, 5 and 6 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 7 leaves no remainder?

210
126
154
119

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the highest common factor of 36 and 84.

22
34
16
12

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

36 = 2² x 3²84 = 2² x 3 x 7H.C.F. = 2² x 3 = 12.

Problems on H.C.F and L.C.M
There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number?

13
5
11
7

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
What is the least number which when divided by 8, 12, 18 and 24 leaves the remainders 4, 8, 14 and 20 respectively?

68
58
None
78

ANSWER DOWNLOAD EXAMIANS APP

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:

22
21
23
24

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

L.C.M. of 5, 6, 4 and 3 = 60. On dividing 2497 by 60, the remainder is 37.Number to be added = (60 - 37) = 23.

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

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