The number 91 can be written as the sum of squares of 3 integers. Which of the following could be the difference between the largest and smallest integers of the 3?
A. 2
B. 5
C. 7
D. 8
E. 9
Spoiler ////
OA is height since it is the difference from 9 and 1. However, the question is not mentioning that the integers have to be positive. Therefore we could have -3 (still giving +9 once squared) and so a difference of 9 - -3 = +12.
Am I making this more complicated than it really is ?
Also, this was a question from the Economist free CAT. I got a 590 with a 28(!!!) on verbal (while on my previous CAT -
Veritas - I got 38) even though I made only a few mistakes. I start to doubt of the reliability of the Economist CAT ... Any other experience with this CAT?
Thanks
be the difference between the largest and smallest integers, not must be. The 3 integers could be: +/-1, +/-3 and +/-9, so the difference could be 8, 10 or 12. Since only one of them is among the choices, then it must be the correct answer.
Answer: D.