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 3 of 9.
Shruti said:
8 years ago
@Suchita.
You are truly right this really works!
Must say this is the best Sol for this question. Thanks.
You are truly right this really works!
Must say this is the best Sol for this question. Thanks.
SURESH BINWAL said:
9 years ago
Any number whose digits sum is nine (9) then only the number is divisible by nine.
taking k = 1..means 843 , sum will be 8+4+3 = 15 not divisible by nine.
k = 2 is 1643 & sum of digit is 1+6+4+3 = 18 means 1+8 = 9 hence least number is k=2.
taking k = 1..means 843 , sum will be 8+4+3 = 15 not divisible by nine.
k = 2 is 1643 & sum of digit is 1+6+4+3 = 18 means 1+8 = 9 hence least number is k=2.
Samiul sk said:
9 years ago
Find the least number which when divided by 12, leaves a remainder of , when divided by 15, leaves a remainder of 10, when divided by 16, leaves a remainder of 11.
(a)115 (b)235 (c)247 (d)475
Solve and find the answer.
(a)115 (b)235 (c)247 (d)475
Solve and find the answer.
Tina Bhattacharjee said:
9 years ago
@Suchita.
18 is divisible by 6. There is no remainder. But as per the question, we should get 3 as the remainder when we divide the number by 6.
18 is divisible by 6. There is no remainder. But as per the question, we should get 3 as the remainder when we divide the number by 6.
Sags. said:
9 years ago
Why are we using variable 'K'? Please tell the method not shortcut.
Akshay said:
9 years ago
Please tell me, how to find the value of k?
Vikram Rajput said:
9 years ago
Divide all options by number which is multiple in the question if remainder 0 for any option, that is your answer.
Anjali said:
7 years ago
Check the 4 options divisibility for 9.
Option B.
1+6+8+3=18 which is divisible by 9.
While other options are not divisible by 9.
Option B.
1+6+8+3=18 which is divisible by 9.
While other options are not divisible by 9.
Amendra said:
6 years ago
How does the value of k equals 2?
Bodla aravind said:
6 years ago
Let (840k + 3) = 1683 [ 1683 taken from Option B].
Therefore, k = (1683-3)/840.
k = 1680/840,
k= 2.
Therefore, k = (1683-3)/840.
k = 1680/840,
k= 2.
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