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If w, x, and y are consecutive odd positive integers and w < x < y, which of the following could be equal to y - x - w ?

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by BTGmoderatorDC » Tue Oct 27, 2020 4:51 pm

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If w, x, and y are consecutive odd positive integers and w < x < y, which of the following could be equal to y - x - w ?

(A) -4
(B) -2
(C) -1
(D) 0
(E) 3


OA C

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Re: If w, x, and y are consecutive odd positive integers and w < x < y, which of the following could be equal to y - x -

by Scott@TargetTestPrep » Sat Oct 31, 2020 1:09 pm
BTGmoderatorDC wrote: ↑
Tue Oct 27, 2020 4:51 pm
 If w, x, and y are consecutive odd positive integers and w < x < y, which of the following could be equal to y - x - w ?

(A) -4
(B) -2
(C) -1
(D) 0
(E) 3


OA C

Source: GMAT Prep
Solution:

We see that x = w + 2, and y = w + 4; thus, y - x - w is:

w + 4 - (w + 2) - w = 2 - w

Since w is odd and positive, then (2 - w) must be odd and no greater than 1. The only answer choice that works is -1.

Answer: C

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