What is the greatest 5 digit number which on being divided by 3, 5, 6 and 9 leaves remainders 1, 3, 4 and 7, respectively?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 99988
Calculations:
LCM of 3, 5, 6 and 9 = 90
Greatest 5 digit number is 99999.
Greatest 5 digit number divided by 90 = 99999 - 9 = 99990
Now, we have to find the number which when divided by 90 will leave remainder 1, 3, 4, 7
Required number to be subtracted from 99990 = (3 - 1) = (5 - 3) = (6 - 4) = (9 - 7) = 2
Required greatest 5 digit number = 99990 - 2 = 99988