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Manhattan GMAT challenge question

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by gabriel » Mon Oct 08, 2007 9:33 am
Source: - Manhattan GMAT (www.manhattangmat.com)

w, x, y, and z are integers. If w > x > y > z > 0, is y a common divisor of w and x?

(1)w/x = z^-1 + x^-1
(2)w^2-wy-2w=0
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Source: — Data Sufficiency |

by ratindasgupta » Mon Oct 08, 2007 10:03 am
Statement 1 - w/x = z^-1 + x^-1
Solving it, we get that wz = x + z
Since all 4 are integers, we can deduce that z = 1 and w is greater than x by 1. Since x is 1, y will have to be 2 or more. So y cannot be a factor of w and x which are consecutive numbers. SUFF

2. w^2-wy-2w=0
Solving this, we get, w - y = 2
So w , x and y have to be consecutive integers. So y cannot be a factor of w and x. SUFF

Answer should be D
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