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# a,b and c are consecutive integers where a<b<c. which

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VP
Joined: 22 Nov 2007
Posts: 1105
Followers: 7

Kudos [?]: 193 [0], given: 0

a,b and c are consecutive integers where a<b<c. which [#permalink]  16 Dec 2007, 04:00
a,b and c are consecutive integers where a<b<c. which of the following could not be the value of c^2-b^2-a^2?

A.-21
B.-12
C.-6
D.0
E.3
CEO
Joined: 17 Nov 2007
Posts: 3578
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 407

Kudos [?]: 2145 [0], given: 359

Expert's post
C

S=c²-b²-a²=(a+2)²-(a+1)²-a²=a²+4a+4-a²-2a-1-a²=-a²+2a+3

for a=0: S=3
a=-1: S=0
a=-2: S=-5
a=-3: S=-12
a=-4: S=-21
VP
Joined: 22 Nov 2007
Posts: 1105
Followers: 7

Kudos [?]: 193 [0], given: 0

nope...think also in a geometric way....
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