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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 when divided by 5,6,7 And 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is :

1683
3363
1677
2523

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the least number which when divided by 20, 25, 35 and 40 leaves remainders 14, 19, 29, and 34 respectively .

1384
1295
1354
1394

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the smallest number of five digits exactly divisible by 16,24,36 and 54.

10568
10268
10468
10368

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Smallest number of five digits is 10000.       Required number must be divisible by L.C.M. of 16,24,36,54 i.e 432,       On dividing 10000 by 432,we get 64 as remainder.    Required number = 10000 +( 432 – 64 ) = 10368.

Problems on H.C.F and L.C.M
The H.C.F of two numbers is 8. Which of the following can never be their L.C.M?

56
48
24
60

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
What is the HCF of 2/3, 4/9 and 6/5

2/45
4/15
8/45
7/45

ANSWER DOWNLOAD EXAMIANS APP

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

25
35
30
None of these

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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