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Divisibility

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by [email protected] » Wed Oct 16, 2013 4:36 am
If p, x, and y are positive integers, y is odd, and p = x^2 + y^2, is x divisible by 4?

(1) When p is divided by 8, the remainder is 5.
(2) x - y = 3

Ans-A
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Source: — Data Sufficiency |

by theCodeToGMAT » Wed Oct 16, 2013 4:49 am
To find: x/4?

Statement 1:
p = 13, 21, 29, 37, 45
13 = 2^2 + 3^2
21 = Not possible
29 = 2^2 + 5^2
37 = 6^2 + 1^2
45 = 6^2 + 3^2
For all the cases x is not divisible by 4
SUFFICIENT

Statement 2:
x - y = 3
we can have any combinational value of x & y to reach result as 3
INSUFFICIENT

Answer [spoiler]{A}[/spoiler]
R A H U L
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