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
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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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BTGmoderatorDC
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Solution:BTGmoderatorDC wrote: ↑Tue Oct 27, 2020 4:51 pmIf 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
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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