If the areas of the 4 squares are 50, 32, 18, and 12, what

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BTGmoderatorLU: Moderator; Posts: 2505; Joined: Sun Oct 15, 2017 1:50 pm; Followed by:6 members

If the areas of the 4 squares are 50, 32, 18, and 12, what

by BTGmoderatorLU » Wed Nov 20, 2019 12:48 pm

Source: Magoosh

Note: Figure not drawn to scale

If the areas of the 4 squares are 50, 32, 18 and 12, what is the ratio of the area of the small shaded portion to the area of the large shaded portion?

A. 1:8
B. 1:6
C. 1:4
D. 1:3
E. 1:1

The OA is D

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Source: Beat The GMAT — Problem Solving | Wed Nov 20, 2019 12:48 pm

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Jay@ManhattanReview: 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 Nov 20, 2019 10:13 pm

BTGmoderatorLU wrote:Source: Magoosh

Note: Figure not drawn to scale

If the areas of the 4 squares are 50, 32, 18 and 12, what is the ratio of the area of the small shaded portion to the area of the large shaded portion?

A. 1:8
B. 1:6
C. 1:4
D. 1:3
E. 1:1

The OA is D

The area of the small shaded portion = 18 - 12 = 6;
The area of the large shaded portion = 50 - 32 = 18;

Thus, the ratio of the area of the small shaded portion to the area of the large shaded portion = 6 : 18 = 1 : 3

The correct answer: D

Hope this helps!

-Jay
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Scott@TargetTestPrep: 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 » Wed Nov 27, 2019 10:45 am

BTGmoderatorLU wrote:Source: Magoosh

Note: Figure not drawn to scale

If the areas of the 4 squares are 50, 32, 18 and 12, what is the ratio of the area of the small shaded portion to the area of the large shaded portion?

A. 1:8
B. 1:6
C. 1:4
D. 1:3
E. 1:1

The OA is D

The area of the large shaded portion is the difference of the areas of the largest and the second largest squares. That area is 50 - 32 = 18.

The area of the large shaded portion is the difference of the areas of the third largest and the smallest squares. That area is 18 - 12 = 6.

Therefore, the ratio of the area of the small shaded portion to the area of the large shaded portion is 6/18 = 1/3.

Answer: D

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