Please explain

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Please explain

by anuptvm » Wed Dec 22, 2010 12:51 pm
What is the product of a certain pair of consecutive odd integers?

Statement 1: Exactly one of the integers is negative.
Statement 2: At least one of the integers is positive.
Source: — Data Sufficiency |

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by Rahul@gurome » Wed Dec 22, 2010 1:12 pm
anuptvm wrote:What is the product of a certain pair of consecutive odd integers?

Statement 1: Exactly one of the integers is negative.
Statement 2: At least one of the integers is positive.
Statement 1: Exactly one of the integers is negative.
As the odd integers are consecutive, the smaller one must be negative and the other one must be positive. Only such possible pair is -1 and 1. And their product is -1.

Sufficient.

Statement 2: At least one of the integers is positive.
Both of them may be positive or one of them may be positive.

Not sufficient.

The correct answer is A.
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