If a,b, and c are integers, what is the value of a? 1 : DS Archive
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# If a,b, and c are integers, what is the value of a? 1

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If a,b, and c are integers, what is the value of a? 1 [#permalink]

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02 Sep 2007, 09:51
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If a,b, and c are integers, what is the value of a?

1 (a-7)(b-7)(c-7)=0
2 bc=18

OA is C
I can't seem to figure out how knowing that bc=18 helps to solve this problem?
Director
Joined: 03 May 2007
Posts: 886
Schools: University of Chicago, Wharton School
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Kudos [?]: 190 [0], given: 7

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02 Sep 2007, 10:02
gnr646 wrote:
If a,b, and c are integers, what is the value of a?

1 (a-7)(b-7)(c-7)=0
2 bc=18

OA is C: I can't seem to figure out how knowing that bc=18 helps to solve this problem?

C. if bc = 18, none of them (b and c) is 7. so a = 7.
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02 Sep 2007, 10:12
Crap, I made the stupid thing more complicated than it was. Thanks for clarifying.
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02 Sep 2007, 17:58
St1:
If a = 7, b = 1, c = 8, then (a-7)(b-7)(c-7)=0 and a=7
If a = 10, b = 7, c = 10, then (a-7)(b-7)(c-7)=0 but a = 10
Insufficient.

St2:
bc = 18. a can be anything. Sufficient.

St1 and St2:
bc = 18. B and C can be anything except 7. So a must be 7 in order for (a-7)(b-7)(c-7)=0

Sufficient.

Ans C
02 Sep 2007, 17:58
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