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. 10)
10.
The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
Answer: Option
Explanation:
L.C.M. of 6, 9, 15 and 18 is 90.
Let required number be 90k + 4, which is multiple of 7.
Least value of k for which (90k + 4) is divisible by 7 is k = 4.
Required number = (90 x 4) + 4 = 364.
Discussion:
89 comments Page 4 of 9.
Sravanthi said:
1 decade ago
It is given in the question that it should be least multiple of 7 which leaves remainder 4. So why don't it be 94. Please clarify.
Akshara said:
1 decade ago
So basically this is kind of a trial an error method question you just need to find the value of k such that 90k+4/7 gives 0.
Rahul said:
4 weeks ago
@ALL.
Guys, here you use divisibility rules.
So, 364 - (4 * 2) = 28 which is divisible by 7, hence 364 is the answer.
Guys, here you use divisibility rules.
So, 364 - (4 * 2) = 28 which is divisible by 7, hence 364 is the answer.
Denusan said:
8 years ago
When the leaves of the remainder is not equal to get the value of 4 then 90+4=94.
Is it right thew given is used in it.
Is it right thew given is used in it.
Anita said:
1 decade ago
6+9+15+18 = 48.
48*7 = 336.
7*4 = 28.
Then 336+28 = 364.
364/48 = 7.5833.
Answer = 7.
Remainder = 4.
Is this right?
48*7 = 336.
7*4 = 28.
Then 336+28 = 364.
364/48 = 7.5833.
Answer = 7.
Remainder = 4.
Is this right?
Sachin said:
1 decade ago
Given here the answer should be multiple of 7, so simply divide all options by 7.
Then we only got the answer 364.
Then we only got the answer 364.
Ujwal said:
1 decade ago
@Mohsin.
Factors of 6 = 2*3.
Factors of 9 = 3*3.
Factors of 15= 3*3*5.
Factors of 18 = 3*2*3.
LCM = 3*2*3*5= 90.
Factors of 6 = 2*3.
Factors of 9 = 3*3.
Factors of 15= 3*3*5.
Factors of 18 = 3*2*3.
LCM = 3*2*3*5= 90.
V!cky said:
1 decade ago
Divide all given answer by 7 when remainder remains 0 i.e correct answer or assume k.
Take LCM i.e 90 K+4.
Take LCM i.e 90 K+4.
Nagesh Bhukya said:
7 years ago
K = 4.
Because this value decided by 7 in 90k+4.
90(4)+4=364/7 = 52.
Remainder is 0 .
So k = 4 is correct.
Because this value decided by 7 in 90k+4.
90(4)+4=364/7 = 52.
Remainder is 0 .
So k = 4 is correct.
(1)
Meenakshi said:
1 decade ago
@bhavi,
The trick which was said by krishna was very simple and even though you ask for a short trick ?
The trick which was said by krishna was very simple and even though you ask for a short trick ?
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