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Math Question of the Day Verbal Question of the Day Word of the Day Essay of the Week


Is p > q?

(1) p + 5q is positive.
(2) p + 4q is negative.

A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient


 Submitted Answers
Student: 2/18/2010 1:33:57 AM
Answer is C
Student: 2/18/2010 3:27:05 AM
Student: 3/28/2010 8:16:36 AM
would appreciate if someone can explain this answer
Student: 3/29/2010 12:45:35 AM
C is the correct answer. Here's one way to think about it.

When you look at each statement alone, you don't know if P is negative or if Q is negative. There is no way to tell.

Now, when you look at the both statements combined ask yourself, "What changes?" Two things changes, when you reduce q by one (5q to 4q) the equation becomes negative. Since q goes down by one q and the total becomes negative, we know that q was keeping the equation positive.

Here is an example:
p= -9


Since p < 0 and q > 0, we know that pq?" with a strong NO.

The correct answer is C.

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