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Is X even? 1. (x+1) * (x-2) is even 2. (x-3) * (x+5) is odd

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CEO
CEO
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Joined: 21 Jan 2007
Posts: 2768
Location: New York City
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Is X even? 1. (x+1) * (x-2) is even 2. (x-3) * (x+5) is odd [#permalink] New post 12 Nov 2007, 11:49
Is X even?

1. (x+1) * (x-2) is even
2. (x-3) * (x+5) is odd

Please explain your answer.
VP
VP
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Joined: 09 Jul 2007
Posts: 1111
Location: London
Followers: 6

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Re: number prop - even products [#permalink] New post 12 Nov 2007, 12:04
bmwhype2 wrote:
Is X even?

1. (x+1) * (x-2) is even
2. (x-3) * (x+5) is odd

Please explain your answer.

picking numbers

B.

1. (x+1) * (x-2) is even ---> x can be odd and even

2. (x-3) * (x+5) is odd ---> x has to be even only
CEO
CEO
User avatar
Joined: 21 Jan 2007
Posts: 2768
Location: New York City
Followers: 8

Kudos [?]: 275 [0], given: 4

Re: number prop - even products [#permalink] New post 14 Nov 2007, 02:38
Ravshonbek wrote:
bmwhype2 wrote:
Is X even?

1. (x+1) * (x-2) is even
2. (x-3) * (x+5) is odd

Please explain your answer.

picking numbers

B.

1. (x+1) * (x-2) is even ---> x can be odd and even

2. (x-3) * (x+5) is odd ---> x has to be even only


nice. OA is B

i tend to be more comfortable with technical approaches.

Stem: Is X even?

1. shows products of two terms is even

this can only happen under 2 scenarios
a. e*o = e
b. e*e = e

(x+1) * (x-2) = E
under the first scenario:
x+1 must be even. This only occurs if x is odd.
x-2 must be odd. this only occurs if x is odd.
Therefore, X is odd.

under the second scenario:
]x+1 must be even. This only occurs if x is odd.
x-2 must be even. this occurs if X is even.
X is even or odd.

Therefore, A is insuff.

2. Same approach as 1.
SUFF

Therefore B.
Re: number prop - even products   [#permalink] 14 Nov 2007, 02:38
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Is X even? 1. (x+1) * (x-2) is even 2. (x-3) * (x+5) is odd

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