What is the greater four-digit number which on being divided by 6,7 and 8 leaves 4,5 and 6 as remainders, respectively?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 9910
Greatest four-digit number = 9999 - remainder - common remainder
Greatest four-digit number = 9999
LCM of 6, 7, and 8 = 168
Common remainder = (6 - 4) = (7 - 5) = (8 - 6) = 2
We will find the remainder for the division of 9999 by 168.
Remainder = 87
Greatest four-digit number = 9999 - 87 - 2 = 9910