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If a,b,c are inetegers .What would be the value of a ?

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Manager
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If a,b,c are inetegers .What would be the value of a ? [#permalink] New post 09 Jun 2007, 19:16
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A
B
C
D
E

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If a,b,c are inetegers .What would be the value of a ?
1.(a-7)*(b-7)*(c-7) = 0
2. bc = 18
CEO
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 [#permalink] New post 09 Jun 2007, 19:27
if bc = 18 then neither b nor c can be 7 therefore to satisfy
1.(a-7)*(b-7)*(c-7) = 0

a = 7

Thus the answer is C.
Manager
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 [#permalink] New post 09 Jun 2007, 20:14
The answer is C .But we can get that answer straighaway from 1 .Why do we need 2 ie bc =18??
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 [#permalink] New post 09 Jun 2007, 22:04
could you explain how to get it straight from 1 ?
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 [#permalink] New post 15 Jun 2007, 13:17
I get C.

i) a can be any integer, as long as b=7 or c=7. since we dont know what b or c are, we can't say what a is. INSUFF

ii) if bc=18, then their only possible values are 6,3,18,1,2,9 (+/-). but we have no idea what a is.


i & ii) since neither b or c equal 7, which is needed to make one of the terms (b-7) or (c-7) = 0, then it must be a. so a=7.

C
  [#permalink] 15 Jun 2007, 13:17
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If a,b,c are inetegers .What would be the value of a ?

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