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

Redeem

A circular cloth with a diameter of 20 inches is placed on a

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3008
Joined: Mon Aug 22, 2016 6:19 am
Location: Grand Central / New York
Thanked: 470 times
Followed by:34 members

by Jay@ManhattanReview » Wed Oct 02, 2019 8:43 pm
BTGmoderatorLU wrote:Source: GMAT Prep

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?

A. 1/6
B. 1/5
C. 11/36
D. 25/36
E. 5/6

The OA is C
Area of the tray = π/4*24^2;
Area of the cloth = π/4*20^2

=> Area NOT covered by the cloth = π/4*24^2 - π/4*20^2 = 44π

Fraction of the tray's surface is NOT covered by the cloth = Area NOT covered by the cloth / Area of the tray = 44Ï€ / (Ï€/4*24^2) = 11/36

The correct answer: C

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: GMAT Classes San Diego | GMAT Tutoring Atlanta | GRE Prep Jacksonville | TOEFL Prep Classes Bangkok | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8085
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members

by Scott@TargetTestPrep » Sat Oct 05, 2019 3:37 pm
BTGmoderatorLU wrote:Source: GMAT Prep

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?

A. 1/6
B. 1/5
C. 11/36
D. 25/36
E. 5/6

The OA is C
The area of the cloth is π x 10^2 = 100π, and the area of the tray is π x 12^2 = 144π. Therefore, 100π/144π = 100/144 = 25/36 of the tray's surface is covered by the cloth. In other words, 11/36 of the tray's surface is NOT covered by the cloth.

Answer: C

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Top
Post new topic Post Reply
• Page 1 of 1