Question

on dividing a certain number by 342, we get 47 as remainder full stop what will be the remainder, if the same number is divided by 18?

Answer 1

Let the number is y and 342 is multiplied with x and the remainder we get (47)

So we can write y as...

y=342x +47.
or

y=18×19x +47
or
y=18×19x + 18×2 + 11

or
y=18(19x+2) +11


so remainder is 11.