Which is the largest six digit number, which when divided by 12, 15, 20, and 30, leaves the remainder 8, 11, 16, 20 and 26 respectively?

Questions :

Which is the largest six digit number, which when divided by 12, 15, 20, and 30, leaves the remainder 8, 11, 16, 20 and 26 respectively ?

Options :

correct answer : a)

Here respective divisor = remainder 4
12, 16, 18, 20, 24
12-4=8, 16-4=12, 18-4=14, 20-4=16, 24-4=20

∴ LCM = 840
Largest 6-digit number = 999999

Required number = 999999 – 839 = 999160