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# Sum of squares of two numbers | B.Stat Objective | TOMATO 77

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Logic True-False Reasoning. You may use sequential hints.

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Sum of squares of two numbers.

## Sum of squares (B.Stat Objective)

Which of the following numbers can be expressed as the sum of squares of two integers

• 1995
• none of these
• 1999
• 2003

### Key Concepts

Pythagorus Theorem

Integers

Algebra

But try the problem first…

Source

B.Stat Objective Question 77

Challenges and Thrills of Pre-College Mathematics by University Press

## Try with Hints

First hint

1995 not perfect square cannot be expressed as sum of perfect squares by pythagoras theorem

Second Hint

1999 not perfect square cannot be expressed as sum of perfect squares by pythagoras theorem

Final Step

2003 not perfect square cannot be expressed as sum of perfect squares by pythagoras theorem then none of these integers.

## One reply on “Sum of squares of two numbers | B.Stat Objective | TOMATO 77”

Example For 5 is not Perfect Square ,yet is SUM Of Two Perfect Squares;
5=1^2+2^2;
So Reasoning Given Above For 1995;1999&2003 :NOT perfect square cannot be expressed as sum of perfect squares by pythagoras theorem then none of these integers.SEEMS TO BE CORRECT;
1995-1^2=1994; 1995-2^2=1991; 1995-3^2=1986; 1995-4^2=1979; 1995-5^2=1970;….
1995-k^2=Not Perfect Squares
Reasoning Given Above By Cheenta Does Not Seem To Be Correct!

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