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# consecutive odd integers

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Manager
Joined: 14 Jun 2007
Posts: 170
Location: Vienna, Austria
Followers: 1

Kudos [?]: 5 [0], given: 0

consecutive odd integers [#permalink]  09 Aug 2007, 04:47
hi guys - can anyone tell me why answer A is true?

If x and y are consecutive odd integers, what is the sum of x and y?
(1) The product of x and y is negative.
(2) One of the integers is equal to –1.

Cheers
Director
Joined: 03 May 2007
Posts: 888
Schools: University of Chicago, Wharton School
Followers: 6

Kudos [?]: 73 [0], given: 7

Re: consecutive odd integers [#permalink]  09 Aug 2007, 05:12
domleon wrote:
hi guys - can anyone tell me why answer A is true?

If x and y are consecutive odd integers, what is the sum of x and y?

(1) The product of x and y is negative.
(2) One of the integers is equal to –1.
Cheers

1: x and y are 1 and -1. so sum = 0. suff.

2: x and y could be -1 and -3 or -1 and 1. so sum coulkd also be 0 or -4. nsf

A.

ahaha
Director
Joined: 12 Jul 2007
Posts: 864
Followers: 13

Kudos [?]: 224 [0], given: 0

The sum is 0.

For the product of two numbers to be negative one of the numbers has to be positive and the other has to be negative. Any positive and any negative number will work, however, the instructions say x and y are consecutive odd integers. The only two odd numbers that are A. one positive and one negative and B. consecutive are -1 and 1.

Since you can solve it with just 1, the answer won't be C, but you can't solve it from just number 2. One of the integers is -1 but the other one could be -3 or 1. B is insufficient.
Manager
Joined: 14 Jun 2007
Posts: 170
Location: Vienna, Austria
Followers: 1

Kudos [?]: 5 [0], given: 0

guys thank very much! both of your explainations now help me with the clue! cheers, dom
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