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

Problems on H.C.F and L.C.M
The least number which should be added to 2497 so that sum is divisible by 5, 6, 4, 3?

27
21
25
23

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

LCM of 5,6,4,3 is 60.On dividing 2497 by 60 we get 37 as remainder.Therefore number to be added is 60 - 37 =23.

Problems on H.C.F and L.C.M
A rectangular courtyard 3.78 metres long and 2.25 metres wide is to be paved exactly with square title, all of the same size. What is the largest size of the tile which could be used for the purpose

42 cms
11 cms
None of these
21 cms

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the HCF of 54, 288, 360

18
19
17
16

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Lets solve this question by factorization method.18=2×3²,288=2×2×2×2×2×3²,360=2³×3²×5So HCF will be minimum term present in all three, i.e.2×3²=18

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:

24
23
22
21

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.

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?

30
56
40
36

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:

48
24
18
36

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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