REMAINDER THEOREM

How I improved my GMAT score by 100 points


REMAINDER THEOREM

Knowing how to calculate a remainder can help you with a wide variety of questions in CAT like finding last digit or last two digits of a given number.

Let's start with looking at some basics theorem

Fermat's Theorem






Fermat's Little Theorem



Wilson's Theorem



All those theorems are of great help in CAT, knowing them can give you an edge over other candidates.

A basic thing to remember solving any remainder related question is the multiplicative property of remainders.

for example.


Similarly, it can also ease the remainder questions having large power.



DISCLAIMER: Don't get confused that you can only use these if the remainder of dividend by divisor is 1.

You can use this technique in any way you like, for example

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How I improved my GMAT score by 100 points