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Updated on: 09 Jan 2014, 07:59
Originally posted by goodyear2013 on 09 Jan 2014, 07:54.
Last edited by Bunuel on 09 Jan 2014, 07:59, edited 1 time in total.
Last edited by Bunuel on 09 Jan 2014, 07:59, edited 1 time in total.
Edited the question.
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
60% (02:01) correct
40%
(01:43)
wrong
based on 967
sessions
History
Date
Time
Result
Not Attempted Yet
Which of the following is NOT the sum of the squares of two integers?
(A) 36
(B) 37
(C) 65
(D) 146
(E) 147
OE
Hi, I can see how we can find the answer. I want to know the quick way to spot combinations of (square of) 2 integers, please.
(A) 36
(B) 37
(C) 65
(D) 146
(E) 147
OE
NOTE: Zero = Integer
0^2 = 0; 1^2 = 1; 2^2 = 4; 3^2 = 9; 4^2 = 16; 5^2 = 25; 6^2 = 36; 7^2 = 49; 8^2 = 64; 9^2 = 81; 10^2 = 100; 11^2 = 121; 12^2 = 144
(A): 0^2 + 6^2 = 0 + 36 = 36
(B): 1^2 + 6^2 = 1 + 36 = 37
(C): 1^2 + 8^2 = 1 + 64 = 65
(D): 5^2 + 11^2 = 25 + 121 = 146
0^2 = 0; 1^2 = 1; 2^2 = 4; 3^2 = 9; 4^2 = 16; 5^2 = 25; 6^2 = 36; 7^2 = 49; 8^2 = 64; 9^2 = 81; 10^2 = 100; 11^2 = 121; 12^2 = 144
(A): 0^2 + 6^2 = 0 + 36 = 36
(B): 1^2 + 6^2 = 1 + 36 = 37
(C): 1^2 + 8^2 = 1 + 64 = 65
(D): 5^2 + 11^2 = 25 + 121 = 146
Hi, I can see how we can find the answer. I want to know the quick way to spot combinations of (square of) 2 integers, please.
14 Jan 2016, 11:27
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FireStorm
mvictor
Dear FireStorm & mvictor,
My friends, at the risk of pointing out the obvious, 25 + 9 = 34, not 36.
Getting 36 as a sum requires remembering that zero is, in fact, an integer. Therefore, 6^2 + 0^2 = 36, a sum of the squares of integers.
My friends, never underestimate simple arithmetic. The kind of mindfulness that can keep track of each simple arithmetic on the GMAT Quant might account for a 50+ point difference in score.
Best of luck, my friends!
Mike
General Discussion
09 Jan 2014, 11:42
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goodyear2013
Dear goodyear2013,
I'm happy to respond.
I don't really like this question, and I don't consider it particularly GMAT-like. On a good GMAT math question, even a hard one, there's often some perspective that allows for a particularly elegant solution. With this problem, it's easy to eliminate the first three answers, but then we have to fish around for the combination that will add up to 146 or 147. There's no particularly quick way to do this. There is nothing especially elegant about this problem. That's why I don't like it. Don't worry; you are not missing some crucial mathematical trick.
Does all this make sense?
Mike
