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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?

10085
10070
10075
10080

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the largest number which divides 62,132,237 to leave the same reminder

25
35
None of these
30

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Trick is HCF of (237-132), (132-62), (237-62)= HCF of (70,105,175) = 35

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

1008
1022
1032
1015

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the least number which when divided by 5,6,7, and 8 leaves a remainder 3, but when divided by 9 leaves no remainder .

4683
2683
3683
1683

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

L.C.M. of 5,6,7,8 = 840.    Required number is of the form 840k + 3     Least 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
Find the greatest number that will divided 43,91 and 183 so as to leave the same remainder in each case

7
13
4
9

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The HCF of 2 numbers is 11 and LCM is 693.If one of numbers is 77.find the other number ?

99
100
98
97

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Product of two numbers= HCF x  LCM                        77 x a = 11 x 693Other number a  = (11×693)/77 = 99.

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

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