The largest number of five digits which, when divided by 16, 24, 30 or 36 leaves the same remainder 10 in each case is:
Answer & explanation
Correct answer: option 2
LCM of 16, 24, 30, 36 = 720
The largest number of five digits = 99999
After dividing 99999 by 720, the remainder = 639
∴ The largest five digit number divisible by 720 = 99999 - 639 = 99360
Required number = 99360 + 10 = 99370