I got stuck in this one...
108) 75 can be written as the sum of the squares of 3 different positive integers. What is sum of these integers?
a. 17
b. 16
c. 15
d. 14
e. 13
does anyone know the explanation.. the answer is (e) as per the solution but can't get how or why?
q 108) from 198 700 level questions
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this has to be calculated using brute force
the squares which are below 75 are
1 4 9 16 25 36 49 64
lets take largest number first
64 , remaining 75-64 = 11 cannot be expressed as sum of 2 squares.
49, reamining 75-49 = 26 = 1 + 5*5 . This is the solution.
so, 1,5,7 are the three numbers
1+5+7 = 13
~Nik
the squares which are below 75 are
1 4 9 16 25 36 49 64
lets take largest number first
64 , remaining 75-64 = 11 cannot be expressed as sum of 2 squares.
49, reamining 75-49 = 26 = 1 + 5*5 . This is the solution.
so, 1,5,7 are the three numbers
1+5+7 = 13
~Nik
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check out this link.. you can download the questions and solutions!