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April 23, 2020

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 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


Answer: none of these

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

  1. 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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