Number of squares

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cypherskull: Senior | Next Rank: 100 Posts; Posts: 94; Joined: Sat Mar 31, 2012 3:39 am; Location: Calcutta; Thanked: 8 times

Number of squares

by cypherskull » Tue Aug 28, 2012 2:35 am

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?
a.4
b.6
c.8
d.10
e.12

Regards,
Sunit

________________________________

Kill all my demons..And my angels might die too!

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Source: Beat The GMAT — Problem Solving | Tue Aug 28, 2012 2:35 am

vk_vinayak: Legendary Member; Posts: 502; Joined: Tue Jun 03, 2008 11:36 pm; Thanked: 99 times; Followed by:21 members

by vk_vinayak » Tue Aug 28, 2012 2:49 am

cypherskull wrote: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?
a.4
b.6
c.8
d.10
e.12

Is the answer C?

4 squares along the axis, and 4 squares at 45 degrees from the origin.

- VK

I will (Learn. Recognize. Apply)

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cypherskull: Senior | Next Rank: 100 Posts; Posts: 94; Joined: Sat Mar 31, 2012 3:39 am; Location: Calcutta; Thanked: 8 times

by cypherskull » Tue Aug 28, 2012 2:54 am

the OA is E

Regards,
Sunit

________________________________

Kill all my demons..And my angels might die too!

Quote

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