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 7 of 9.
Emu said:
1 decade ago
suchita it"s working.........
Priya said:
1 decade ago
nice Suchita ......it was nice
Suchita said:
1 decade ago
hey.....just add the digits of given options as
1+6+8+3=18 the answer is that which can be divided by 9.
remaining numbers can't divide by 9.
1+6+8+3=18 the answer is that which can be divided by 9.
remaining numbers can't divide by 9.
Sundar said:
1 decade ago
Let (840k + 3) = 1683 [ 1683 taken from Option B]
Therefore, k = (1683-3)/840
k = 1680/840
k = 2.
Note: (840k + 3) should be divisible by 9 if we substitute k = 2.
Therefore, k = (1683-3)/840
k = 1680/840
k = 2.
Note: (840k + 3) should be divisible by 9 if we substitute k = 2.
Chinmaya said:
1 decade ago
How you will get 2 ?
Ayush said:
1 decade ago
L.C.M. Of 5, 6, 7, 8 = 840.
Required number is of the form 840k + 3.
We know that it is divisible by 9.
So, 840k+3 = 9x. (x being the quotient).
Now, k is found by just putting values starting from 1, 2, 3.
If we get the lowest value which when used in k makes equation divisible by 9, it will surely be 2.
Hope it helped.
Required number is of the form 840k + 3.
We know that it is divisible by 9.
So, 840k+3 = 9x. (x being the quotient).
Now, k is found by just putting values starting from 1, 2, 3.
If we get the lowest value which when used in k makes equation divisible by 9, it will surely be 2.
Hope it helped.
Triveni said:
9 years ago
You know concept of "Dividend : (Divisor*Quotient) plus Remainder".
So here 800 is divisor "k" is quotient "3" is remainder.
So here 800 is divisor "k" is quotient "3" is remainder.
Vijay said:
9 years ago
Please tell me how you put the value k=2?
Rohit said:
10 years ago
Please help me how we get k=2?
Vinay said:
10 years ago
Yes if there was no option for how to find k. I can also go with @Mukul.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers