tamaracao wrote:The number 75 can be written as the sum of the squares of 3 diff positive integers. What is the sum of these 3 integers?
a) 17
b) 16
c) 15
d) 14
e) 13
This question was on the GMATPrep exam. I was wondering if it was a typo and should be 65 instead of 75 because I can't get any numbers to work for 75.
75 = the sum of three PERFECT SQUARES.
List the perfect squares less than 75.
Ask yourself the following:
Which perfect square will the average test-taker forget to consider?
Answer:
1² = 1.
Don't be an average test-taker.
Be sure to include 1² = 1 in your list:
1² = 1.
2² = 4.
3² = 9.
4² = 16.
5² = 25.
6² = 36.
7² = 49.
8² = 64.
The sum of the 3 values in red is 75:
1²+ 5² + 7² = 1 + 25 + 49 = 75.
Thus, the sum of the 3 integers = 1+5+7 = 13.
The correct answer is
E.
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