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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 that will devide 43, 91 and 183 so as to leave the same remainder in each case

13
4
9
7

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:

185
107
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
Find he smallest number of five digits exactly divisible by 16, 24, 36 and 54 .

10688
9368
10368
9868

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the least which when divided y 16,18,20, and 25 leaves 4 as remainder in each case, but when divided by 7 leaves no remainder.

18002
17004
18000
18004

ANSWER DOWNLOAD EXAMIANS APP

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
131
133
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

Problems on H.C.F and L.C.M
The least number which when increased by 5 is divisible by each one of 24, 32, 36 and 54, is

4320
869
427
859

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

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