multiple squares.. coordinate geometry

[kshitijg17]

A certain square is to be drawn on a coordinate plane. One of the vertices must be on the origin, and the square is to have an area of 100. If all coordinates of the vertices must be integers, how many different ways can this square be drawn?


4

6

8

10

12

I have understood the solution given in the test.... but am not sure how i will b able to do such a question in two mins.. with identifying the various points ... is there a way to "hack" through such a question... any shortcuts.. POE methods??

[RonPurewal]

"two minutes" is the AVERAGE time for a quant problem. obviously, you do not need to be able to solve every problem in under the AVERAGE time.
if you are performing decently well on this exam, you'll take over 2 minutes almost as often as you'll take under 2 minutes.

if you have any actual questions about the problem itself, feel free to post them.