Number System

Fast trick to solve number system

Q . 23524 is divided by 24 the reminder is-

By formula -

a2 - b2 = (a+b) (a-b)

When n is even (xn - an) is completely divisible by (x+a)

so (23524 - 1524) is completely divisible by (23+1 ) i.e. 24

=> (23524 - 1) is completely divisible by 24

=> On dividing(23524) by 24 we get 1 as reminder.

So the reminder is 1