89) If the quotient a/b is positive, which of the following

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Manager

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89) If the quotient a/b is positive, which of the following [#permalink]

03 Apr 2006, 06:18

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89) If the quotient a/b is positive, which of the following must be true?

(A) a > 0
(B) b > 0
(C) ab > 0
(D) a - b > 0
(E) a + b > 0

Please explain your answer.
After seeing the OE for this question, I got confused with the definition of "quotient".

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03 Apr 2006, 06:25

I choose C....

Simply picked different values and chose the answer....

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03 Apr 2006, 18:32

If quotient can be a fraction, your answer is right.
But, can quotient be a fraction? Is it not an integer only?

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04 Apr 2006, 08:34

chuckle wrote:

If quotient can be a fraction, your answer is right.

The answer doesn't depend on whether the quotient can be a fraction.
For the quotient to be positive, a and b have to be either both positive
OR both negative. In either cases the product is positive as well.

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04 Apr 2006, 08:53

a/b is positive --> could be:

a and b both positive
a and b both negative

a) out --> depends on b being positive
b) out --> depends on a being positive
c) true --> if ab is positive, then both a and b are positive or both a and b are negative
d) out --> can be a/b = 2/3 (a-b < 0) or a/b = 5/3 (a-b > 0)
e) out --> can be both a and b negative

[#permalink] 04 Apr 2006, 08:53

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89) If the quotient a/b is positive, which of the following

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89) If the quotient a/b is positive, which of the following

89) If the quotient a/b is positive, which of the following

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