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A wooden rod is cut into two pieces. What is the length of

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by swerve » Thu Dec 27, 2018 8:56 am

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Answers

A

B

C

D

E

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Difficulty—

A wooden rod is cut into two pieces. What is the length of the longer piece?

1) One of the pieces is 20 inches longer than the other piece.
2) The length of the shorter piece is 1/3 the length of the longer piece

The OA is C

Source: GMAT Prep
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by Jay@ManhattanReview » Fri Dec 28, 2018 2:11 am
swerve wrote:A wooden rod is cut into two pieces. What is the length of the longer piece?

1) One of the pieces is 20 inches longer than the other piece.
2) The length of the shorter piece is 1/3 the length of the longer piece

The OA is C

Source: GMAT Prep
Say the lengths of the two pieces are x and y inches such that x > y. We have to get the value of x.

Let's take each statement one by one.

1) One of the pieces is 20 inches longer than the other piece.

x = y + 20. Insufficient.

2) The length of the shorter piece is 1/3 the length of the longer piece.

y = x/3. Insufficient.

(1) and (2) together

From x = y + 20 and y = x/3, we have x = x/3 + 20 => 2x/3 = 20 => x = 30 inches. Sufficient.

The correct answer: C

Hope this helps!

-Jay
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