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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 of five digits that have 144 their HCF is?

10070
10075
10080
10085

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:

107
185
111
101

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

 Let the numbers be 37a and 37b.Then, 37a x 37b = 4107 ab = 3.Now, co-primes with product 3 are (1, 3).So, the required numbers are (37 x 1, 37 x 3) i.e., (37, 111). Greater number = 111.

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 ?

10
16
15
4

ANSWER DOWNLOAD EXAMIANS APP

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
The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:

548
216
443
389

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required number = (L.C.M. of 12, 15, 20, 54) + 8= 540 + 8= 548.

Problems on H.C.F and L.C.M
Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively

129
133
131
127

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

In this type of question, its obvious we need to calculate the HCF, trick isHCF of (1661 - 10) and (2045 -13)= HCF (1651, 2032) = 127

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

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