Data sufficiency

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Data sufficiency

by Joy Shaha » Thu Jul 07, 2016 10:03 am
Q. -5<s<5,, is s> o?
S:S>4
1/s > s/1

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by 800_or_bust » Thu Jul 07, 2016 10:55 am
Joy Shaha wrote:Q. -5<s<5,, is s> o?
S:S>4
1/s > s/1
I think you transcribed something incorrectly. What does (1) even mean - the ratio of S to S equals 4?!? Also should be in the DS forum.
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by Matt@VeritasPrep » Thu Jul 07, 2016 2:35 pm
I'm interpreting the question as
If -5 < s < 5, is s > 0 ?

S1: s > 4
S2: 1/s > s
S1 is obviously sufficient. (So obviously sufficient, in fact, that I feel the problem must not be presented correctly.)

S2 gives us

1/s - s > 0
(s - s*s)/s > 0

If s < 0, then we have s - s*s < 0, or s < -1. If s > 0, then we have s - s*s > 0, or 1 > s > 0. Since s could be > 0 and could be < 0, this is NOT SUFFICIENT.