Question

What is the least possible number which when divided by 2, 3, 4, 5, 6 it leaves the remainders 1, 2, 3, 4, 5 respectively? ___

Answer 1

Since the difference is same as
(2 - 1) = (3 - 2) = (4 - 3) = (5 - 4) (6 - 5) = 1
Hence the required number = (LCM of 2, 3, 4, 5, 6) - 1
= 60 - 1 = 59