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

Problems on H.C.F and L.C.M
Five bells ring together and ring at intervals of 2, 6, 8, 12 and 15 seconds respectively. How many times will they ring together in 60 minutes?

31
32
33
34

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the least number which when divided by 6,7,8,9, and 12 leave the same remainder 1 each case

707
505
404
606

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

  3 |  6 - 7  - 8  - 9 - 12-----------------------------  4 | 2  - 7  - 8  - 3 - 4  ---------------------------   2 | 2  - 7  - 2  - 3 - 1 --------------------------     | 1  - 7  - 1  - 3 - 1 L.C.M = 3 X 2 X 2 X 7 X 2 X 3 = 504.Hence required number = (504 +1) = 505   

Problems on H.C.F and L.C.M
Find the H.C.F of 204, 1190 and 1445?

17
204
85
34

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
A heap of stones can be made up into groups of 21. When made up into groups of 16, 20, 25 and 45 there are 3 stones left in each case. How many stones at least can there be in the heap?

7203
2403
4803
3603

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively

19
18
17
16

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

HCF of (400-9, 435-10, 541-14)HCF of (391, 425, 527) = 17

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

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
3 x 3 x 3 x 3 x 7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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

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