For integers a and b, if a 2b is not equal to 0, is : DS Archive
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# For integers a and b, if a 2b is not equal to 0, is

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For integers a and b, if a 2b is not equal to 0, is [#permalink]

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09 Nov 2004, 10:26
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For integers a and b, if a â€“ 2b is not equal to 0, is a^2-4b^2/2a-4b an integer?
(1) a is odd.
(2) a is even.

Pls explain. Ta very much!

Last edited by ninomoi on 09 Nov 2004, 14:32, edited 1 time in total.
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09 Nov 2004, 11:53
question has a typo...pls retype.
Manager
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09 Nov 2004, 14:30
Thanks! I have corrected it.
Director
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09 Nov 2004, 14:39
I think the answer is D

[a^2-4b^2]/[2a-4b] = (a+2b)/2

Statement 1: a is odd
2b is always even, but if a is odd, a+2b will be odd
=> (a+2b)/2 is not an integer. Sufficient

Statement 2: a is even
a+2b will be even and therefore divisible by two.
=> (a+2b)/2 is an integer. Sufficient
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09 Nov 2004, 17:40
Nice explanation gayathri... Thanks
Joined: 31 Dec 1969
Location: Russian Federation
Concentration: Technology, Entrepreneurship
GMAT 1: 710 Q49 V0
GMAT 2: 700 Q V
GMAT 3: 740 Q40 V50
GMAT 4: 700 Q48 V38
GMAT 5: 710 Q45 V41
GMAT 6: 680 Q47 V36
GMAT 7: Q42 V44
GMAT 8: Q42 V44
GMAT 9: 740 Q49 V42
GMAT 10: 740 Q V
GMAT 11: 500 Q47 V33
GMAT 12: 670 Q V
WE: Engineering (Manufacturing)
Followers: 0

Kudos [?]: 202 [0], given: 102323

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10 Nov 2004, 20:55
Thanks mate! Nice explanation! D is the OA
10 Nov 2004, 20:55
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