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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 the sum is exactly divisible by 5, 6, 4 and 3 is:

24
21
23
22

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
The smallest fraction, which each of 6/7, 5/14, 10/21 will divide exactly is:

50/294
60/147
30/7
30/98

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The least number of four digits which is divisible by 4, 6, 8 and 10 is?

1080
1075
1095
1085

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the greatest number which is such that when 697, 909 and 1227 are divided by it, the remainders are all the same?

108
53
112
106

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.

24
21
17
31

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
What is the least number when divided by 4, 5, 6, 8 and 10 leaves 3 as remainder?

123
112
121
116

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

 The least number which when divided by 4,5,6,8 and 10 is the LCM of these numbers. But each time  to get 3 as remainder, we have to add the remainder 3 to the obtained LCM.LCM of (4, 5, 6, 8, 10)+ 3=120+3=123

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

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