Question

Which is the smallest number which when divided by 18,19and20 leaves.exactly 5as remainder in each case?

Answer 1

Smallest number which will be divisible by 18, 19 and 20

= LCM ( 18, 19, 20) = 3420

Since we need 5 as remainder, we will add 5 to the LCM

In which case desired number is 3425

∴ 3425 is the smallest number which will leave remainder as 5 when divided by 18, 19 and 20