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:
88 comments Page 4 of 9.
Ram said:
1 decade ago
k=4 because we need least value of k which is divided 7.
So in equation 90k+4. If k=4 then answer is 364 which is divisible by 7.
So in equation 90k+4. If k=4 then answer is 364 which is divisible by 7.
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.
Denusan said:
7 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:
10 years 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.
Nagesh Bhukya said:
6 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)
V!cky said:
10 years 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.
Sowmya said:
1 decade ago
94 is divisible by 7 and it leaves a reminder of 4 when divided with all other given numbers so y not 94?
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 ?
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers