Discussion

If Q is a quadrilateral, is Q a rectangle?

(1) Opposite sides of Q are parallel.

(2) One of the four angles of Q is 90 degrees.

(A)if statement (1) ALONE is sufficient to answer the question but statement (2) alone is not sufficient;
(B)...
(C)...
(D)...
(E)...
(F)...
*This question is included in Nova Press: Set B - Data Sufficiency Practice, question #15

The solution is

Posted: 12/06/2012 19:11
The author should have stated that ALL opposite sides are parallel. Otherwise, it is not clear that... he means each of the opposing sides or not.

If only two of the four sides are parallel, it does not necessarily mean that Q is a rectangle.
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Contributor
Posted: 12/06/2012 22:55
Ilia,
(1) Opposite sides of Q are parallel
Means take ANY side and its opposite, and they are parallel.
Thus a quadrilateral has 4 sides and each side has an opposite side.

Niels

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