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

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?

112
106
108
53

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:

689
268
1015
432

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required number = (L.C.M. of 12,16, 18, 21, 28) + 7= 1008 + 7= 1015

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:

185
101
111
107

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
Find the lowest 4-digit number which when divided by 3, 4 or 5 leaves a remainder of 2 in each case?

1030
1022
1020
1026

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and of the last three is 12673. Find the fourth number?

31
17
23
29

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 12. The numbers are

10, 20, 30
12, 24, 36
4, 8, 12
5, 10, 15

ANSWER DOWNLOAD EXAMIANS APP
MORE MCQ ON Problems on H.C.F and L.C.M

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