GMAT Prep Test 2

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dsuna: Junior | Next Rank: 30 Posts; Posts: 14; Joined: Sat Mar 17, 2007 7:35 pm

by dsuna » Sun Mar 25, 2007 9:39 am

A circular cloth with a diameter of 20 inches is placed on a circular tray with a diameter of 24 inches. What fraction of the tray’s surface is NOT covered by the cloth?

Ans 11/36

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Source: Beat The GMAT — Problem Solving | Sun Mar 25, 2007 9:39 am

jayhawk2001: Community Manager; Posts: 789; Joined: Sun Jan 28, 2007 3:51 pmFollowed by: 1 member; Location: Silicon valley, California; Thanked: 30 times

by jayhawk2001 » Sun Mar 25, 2007 10:10 am

Area that is not covered = (pi*12*12 - pi*10*10)

Fraction of area that is not covered =
(pi*12*12 - pi*10*10) / pi*12*12
= 44 / 144
= 11 / 36

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Cybermusings: Legendary Member; Posts: 559; Joined: Tue Mar 27, 2007 1:29 amFollowed by: 2 members; Thanked: 5 times

by Cybermusings » Tue Mar 27, 2007 4:19 am

The area of the circular cloth = Pie*r2

= 100Pie

Area of the Tray = Pie*r2

= 144Pie

Therefore area not covered = 144Pie - 100Pie = 44Pie

Fraction not covered = 44Pie/144Pie

= 11/36

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