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# PRMO 2016 Problem 2 | Number Theory

Try this beautiful interesting problem based on Number Theory from PRMO 2016 Problem 2.

## Number Theory Problem: PRMO 2016 Problem 2

The five digit number is a perfect square. Find the value of .

### Key Concepts

Properties of Perfect Squares

Divisibility Rules of different numbers

Finding the square root of a number

## Suggested Book | Source | Answer

Challenge and Thrill of Pre College Mathematics

PRMO 2016

50

## Try with Hints

An odd perfect square is of the form

Hence

Hence

Therefore the possible values of b are

So possible numbers are

Now check for the possible values of and calculate the square root to check if it is a perfect square

The only valid solution is

Hence calculate the required expression.

## Subscribe to Cheenta at Youtube

Try this beautiful interesting problem based on Number Theory from PRMO 2016 Problem 2.

## Number Theory Problem: PRMO 2016 Problem 2

The five digit number is a perfect square. Find the value of .

### Key Concepts

Properties of Perfect Squares

Divisibility Rules of different numbers

Finding the square root of a number

## Suggested Book | Source | Answer

Challenge and Thrill of Pre College Mathematics

PRMO 2016

50

## Try with Hints

An odd perfect square is of the form

Hence

Hence

Therefore the possible values of b are

So possible numbers are

Now check for the possible values of and calculate the square root to check if it is a perfect square

The only valid solution is

Hence calculate the required expression.

## Subscribe to Cheenta at Youtube

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