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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## If neither x nor y is divisible by 3, which of the following tagged by: Max@Math Revolution ##### This topic has 2 expert replies and 0 member replies ### GMAT/MBA Expert ## If neither x nor y is divisible by 3, which of the following [GMAT math practice question] x ans y are integers. If neither x nor y is divisible by 3, which of the following could be the value of x^2+y^2? A. 333 B. 334 C. 335 D. 336 E. 337 _________________ Math Revolution Finish GMAT Quant Section with 10 minutes to spare. The one-and-only Worldâ€™s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. Only$99 for 3 month Online Course
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Last edited by Max@Math Revolution on Sat Mar 10, 2018 12:17 pm; edited 2 times in total

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Max@Math Revolution wrote:
[GMAT math practice question]

If neither x nor y is divisible by 3, which of the following could be the value of xÂ² + yÂ² ?

A. 333
B. 334
C. 335
D. 336
E. 337
As it stands, all of the answer choices are correct.

A. 333
If x = âˆš300 and y = âˆš33, then xÂ² + yÂ² = (âˆš300)Â² + (âˆš33)Â² = 300 + 33 = 333

B. 334
If x = âˆš300 and y = âˆš34, then xÂ² + yÂ² = (âˆš300)Â² + (âˆš34)Â² = 300 + 34 = 334

etc

Cheers,
Brent

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Consider the squares of the integers that are not divisible by 3:
1^2 = 1, 2^2 = 4, 4^2 = 16, 5^2 = 25, 7^2 = 49, 8^2=64, â€¦.
They all have a remainder of 1 when they are divided by 3.
Thus, the sum of the squares of two integers which are not divisible by 3 must have a remainder of 2 when it is divided by 3.

The only answer choice having this property is 335.

Therefore, C is the answer.

Answer: C

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