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Data Sufficiency Problem--GMAT Prep

Expert replies
by rehandossani » Sun Oct 03, 2010 8:30 am
If p is positive integer, what is remainder when p is divided by 4?
a. When P is divided by 8 remainder is 5
b. P is the sum of the squares of two positive integers.

My answer was A

Reasoning:

a) p = 8x + 5. When divided by 4, it will always give a remainder 1. So Suff

for (b) if 3^2 + 1^2 = 10, when divided by 4, gives remainder 2. However when 2^2 + 1^1 = 5, divided by 4 gives a remainder 1. So insuff.

However this answer is wrong. Can someone please explain why the answer should be D
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Source: — Data Sufficiency |

by Ian Stewart » Sun Oct 03, 2010 10:19 am
rehandossani wrote:If p is positive integer, what is remainder when p is divided by 4?
a. When P is divided by 8 remainder is 5
b. P is the sum of the squares of two positive integers.
As you've written the question, the answer is certainly A, not D, for the reasons you mention. I've seen this question before, however, and I think a word is missing - if I remember correctly, the question tells you that p is odd. In that case, the answer is D.

edit - yes, I think the correction mentioned below is the one in the original question
Last edited by Ian Stewart on Sun Oct 03, 2010 1:29 pm, edited 1 time in total.
For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com

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by Skywalker » Sun Oct 03, 2010 10:20 am
Hi,

Is the option b "b. P is the sum of the squares of two positive integers. " OR
"b. P is the sum of the squares of two consecutive positive integers. " ?

Thanks
StAy HuNgry sTay fOOlisH
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by rehandossani » Sun Oct 03, 2010 11:15 am
Well actually, I saw this question in 198 700+ GMAT Prep question. Only "square of positive integers" is written. But yeahif its has been consecutive positive integers than the answer would D.
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