How many different sets of positive square integers, each greater than 1, add up to 75?
A)1
B)4
C)7
D)11
E)13
OAE
A)1
B)4
C)7
D)11
E)13
OAE
Hi j_shreyans,
What is the source of this question? I ask because it's poorly worded (and the "intent" is vague).
I assume that we're meant to be dealing with perfect squares (greater than 1), so we'd have a finite group of values:
4, 9, 16, 25, 36, 49, 64
From the answer choices, I have to assume that duplicates ARE allowed (but the question doesn't technically state that)
eg 25 + 25 + 25 = 75
et 49 + 9 + 9 + 4 + 4 = 75
There's really only one way to answer this question: LOTS of brute-force math (and the answer choices are not "spaced out" enough to provide you with any type of shortcut or hint). While the concepts (arithmetic, perfect squares, etc.) will show on the GMAT, this "design" isn't common on Test Day.
GMAT assassins aren't born, they're made,
Rich
