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# which of the 3 integers a, b, c is the smallest? > st 1

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Manager
Joined: 05 Oct 2005
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which of the 3 integers a, b, c is the smallest? > st 1 [#permalink]

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31 May 2006, 14:49
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

which of the 3 integers a, b, c is the smallest?
>
st 1 b+c = 7
st 2 ab > |abc|

Plz explain your reasoning most of all concerning st 2

Found st 1 Clearly insufficient

no OA given

thanks
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Manager
Joined: 23 Jan 2006
Posts: 192
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31 May 2006, 14:59
C?

From 2:
C must be 0, and the product of a and b must be positive, so they both must have the same sign we don't know either + or -
consider that b+c = 7, so b must be + and a must be +. therefore, c is the smallest.
Manager
Joined: 10 May 2006
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Location: USA
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31 May 2006, 15:05
mand-y wrote:
which of the 3 integers a, b, c is the smallest?
>
st 1 b+c = 7
st 2 ab > |abc|

Plz explain your reasoning most of all concerning st 2

Found st 1 Clearly insufficient

no OA given

thanks

I get C.

1) Insufficient, no info on C
2) ab > |abc|, then ab must be positive. Either both a & b are positive or both are negative.

Given the above, c must equal 0 (since c is an integer and can not be a fraction). If c is anything else but 0, then the equation doesn't hold true:

ie) ab = 2 c = 1 2>2? No
ab = 2 c = -1 2>2? No

Also, neither a nor b can equal 0.

Together)
We know that C = 0. From St. 1, we know that A and B are positive. Thus, C must be the smallest.
VP
Joined: 29 Dec 2005
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31 May 2006, 18:12
mand-y wrote:
which of the 3 integers a, b, c is the smallest?
st 1. b+c = 7
st 2. ab > |abc|

hmmmmmm...

agree with C...
VP
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31 May 2006, 19:53
Good question, got C.
Manager
Joined: 12 Feb 2006
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31 May 2006, 21:20
It took me awhile, but great explanation tl372.
31 May 2006, 21:20
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