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

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Manager
Joined: 09 Sep 2004
Posts: 165
Followers: 1

Kudos [?]: 1 [0], given: 0

For integers a and b, if a 2b is not equal to 0, is [#permalink]  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.
Joined: 31 Dec 1969
Location: India
Concentration: Strategy, Human Resources
GMAT 1: 710 Q49 V0
GMAT 2: 740 Q40 V50
GMAT 3: 700 Q48 V38
GMAT 4: 710 Q45 V41
GPA: 3.31
Followers: 0

Kudos [?]: 93 [0], given: 88351

question has a typo...pls retype.
Manager
Joined: 09 Sep 2004
Posts: 165
Followers: 1

Kudos [?]: 1 [0], given: 0

Thanks! I have corrected it.
Director
Joined: 07 Nov 2004
Posts: 690
Followers: 5

Kudos [?]: 30 [0], given: 0

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
Intern
Joined: 08 Nov 2004
Posts: 46
Location: Montreal
Followers: 0

Kudos [?]: 10 [0], given: 0

Nice explanation gayathri... Thanks
Joined: 31 Dec 1969
Location: India
Concentration: Strategy, Human Resources
GMAT 1: 710 Q49 V0
GMAT 2: 740 Q40 V50
GMAT 3: 700 Q48 V38
GMAT 4: 710 Q45 V41
GPA: 3.31
Followers: 0

Kudos [?]: 93 [0], given: 88351

Thanks mate! Nice explanation! D is the OA
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