Aptitude - Problems on H.C.F and L.C.M - Discussion
Discussion Forum : Problems on H.C.F and L.C.M - General Questions (Q.No. 14)
14.
The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
Answer: Option
Explanation:
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.
Discussion:
86 comments Page 2 of 9.
Saurabh agrawal said:
1 decade ago
Suchita's trick is great. Very short and productive.
Shariq said:
1 decade ago
Just divide all options by 9.
Simanta said:
1 decade ago
Nice suchita !
M.V.KRISHNA/PALVONCHA said:
1 decade ago
Excellent suchita.
Gogol said:
1 decade ago
@SUCHITA
If one of the option becomes for example..2538, then the sum of 2+5+3+8= 18 will also be divided by 9 leaving no remainder.
So, in this case there is no profit from your logic.
If one of the option becomes for example..2538, then the sum of 2+5+3+8= 18 will also be divided by 9 leaving no remainder.
So, in this case there is no profit from your logic.
Anand said:
1 decade ago
The solution of finding the option which is divisible by 9 works only in this specific case of provided options. In case, when more than 1 option is divisible by 9, the method to find out the value of k needs to be understood.
Pankaj said:
1 decade ago
Nice Suchita.
Feroz said:
1 decade ago
we get LCM =840 since 843 is divided by 3
when we divide it by 9 it leaves a remainder of 6
since we need a least no. divided by three which also leaves 3 remainder
we put value of k=1, 2, 3.... till we get the required no.
since
when we divide it by 9 it leaves a remainder of 6
since we need a least no. divided by three which also leaves 3 remainder
we put value of k=1, 2, 3.... till we get the required no.
since
Satheesh said:
1 decade ago
Divide each answer by 9 which one has no reminder that's answer.
Chandresh said:
1 decade ago
But concept of finding the value of k is still not clear.
Can anyone tell the concept except logical solution?
Can anyone tell the concept except logical solution?
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