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

Problems on H.C.F and L.C.M
In finding the HCF of two numbers, the last divisor was 41 and the successive quotients, starting from the first, where 2, 4 and 2. The numbers are?

820,360
800,500
700,400
820,369

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Six bells commence tolling together and toll at the intervals of 2,4,6,8,10,12 seconds resp. In 60 minutes how many times they will toll together.

21
31
17
24

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

LCM of 2-4-6-8-10-12 is 120 seconds, that is 2 minutes.Now 60/2 = 30Adding one bell at the starting it will 30+1 = 31

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
404
505
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
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:

1383
1183
1683
1983

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

L.C.M. of 5, 6, 7, 8 = 840.Required number is of the form 840k + 3Least value of k for which (840k + 3) is divisible by 9 is k = 2.Required number = (840 x 2 + 3) = 1683.

Problems on H.C.F and L.C.M
The smallest number when increased by " 1 " is exactly divisible by 12, 18, 24, 32 and 40 is:

1439
1459
1449
1440

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The G.C.D. of 1.08, 0.36 and 0.9 is:

0.9
0.03
0.108
0.18

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

 Given numbers are 1.08, 0.36 and 0.90.   H.C.F. of 108, 36 and 90 is 18, H.C.F. of given numbers = 0.18.

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

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