BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

mabhattan ps

Expert replies
by naveen451 » Sat Aug 13, 2011 1:32 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
Join the discussion
Source: — Problem Solving |

by pemdas » Sat Aug 13, 2011 1:53 am
four squares in each quadrant is clear so far.

next, we need to set the side of square equal to 10 and assume this side as hypotenuse of right triangle where the non-hypotenuse sides will be integers; 100=10^2 and 100=36+64. So we have 6 and 8 on x and y coordinates additionally, which makes additional two squares in each quadrant.

4+4*2=12

e
naveen451 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
Success doesn't come overnight!
Join the discussion

by GMATGuruNY » Sat Aug 13, 2011 2:05 am
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Join the discussion