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

Check the Answer


But try the problem first…

Answer: none of these

Source
Suggested Reading

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.

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