are there any answers for the GMAT sample tests?

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Taniuca: Senior | Next Rank: 100 Posts; Posts: 62; Joined: Mon Aug 02, 2010 3:25 pm; Thanked: 3 times

by Taniuca » Wed Aug 03, 2011 3:15 pm

are there any answers around for the sample tests provided by the GMAT?

Included is a drawing for one of the questions. The question is what is the value of s?
I do not understand the answer.
Answer= 1
in the picture the known points are (-SQR of 3,1)

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Source: Beat The GMAT — Problem Solving | Wed Aug 03, 2011 3:15 pm

vineeshp: Legendary Member; Posts: 965; Joined: Thu Jan 28, 2010 12:52 amFollowed by: 34 members; Thanked: 156 times; GMAT Score:720

by vineeshp » Wed Aug 03, 2011 8:26 pm

Do a little Search on the Search bar above. You will find answers for every GMATPrep question.

For this problem, you can search, but the used property is the 30-60-90 rule (1:root3:2, isnt the triangle on the left following this?

)

Vineesh,
Just telling you what I know and think. I am not the expert.

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Tani: Legendary Member; Posts: 1255; Joined: Fri Nov 07, 2008 2:08 pmFollowed by: 90 members; Location: St. Louis; Thanked: 312 times

by Tani » Wed Aug 03, 2011 9:30 pm

If you drop a perpendicular from the point (-sqrt3, 1) to the x axis you get a 30:60:90 triangle, with the legs equal to sqrt3 and 1 and the hypotenuse = 2.

That makes the angle to the left of the origin along the x axis 30 degrees. Since we also have a 90 degree angle as marked, the angle to the right of the origin along the x-axis must be 60 degrees. We have another 30:60:90 triangle. Because the figure is inscribed in a semicircle, the line from the origin to (-sqrt3, 1)and the line from the origin to (s,t) must both be radii and therefore equal.

Again, dropping a line from (s,t) perpendicular to the x axis we know that with a hypotenuse of 2 in a 30:60:90 triangle our t value (representing the length of the side opposite the 60 degree angle is sqrt3, and the s value is 1.

Tani Wolff

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