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

Problems on H.C.F and L.C.M
Least perfect square number, exactly divisible by 21, 36 and 56 is?

441
3600
504
7056

ANSWER DOWNLOAD EXAMIANS APP

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

15
4
16
10

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
What will be the LCM of 8, 24, 36 and 54

345
444
112
216

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

LCM of 8-24-36-54 will be2*2*2*3*3*3 = 216

Problems on H.C.F and L.C.M
252 can be expressed as a product of primes as:

3 x 3 x 3 x 3 x 7
2 x 2 x 2 x 3 x 7
2 x 2 x 3 x 3 x 7
2 x 3 x 3 x 3 x 7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Clearly, 252 = 2 x 2 x 3 x 3 x 7.

Problems on H.C.F and L.C.M
Find the largest number of four digits exactly divisible by 12,15,18 and 27.

6720
9720
7720
8720

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The Largest number of four digits is 9999.       Required number must be divisible by L.C.M. of 12,15,18,27 i.e. 540.      On dividing 9999 by 540,we get 279 as remainder .   Required number = (9999-279) = 9720.

Problems on H.C.F and L.C.M
Find the largest number which divides 62,132,237 to leave the same reminder

25
None of these
30
35

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Trick is HCF of (237-132), (132-62), (237-62)= HCF of (70,105,175) = 35

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

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