Don't let remainder's drop your CAT percentile

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

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Fermat's Theorem

Fermat's Little Theorem

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Wilson's Theorem

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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