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If 0 < st < 1, then which of the following can be true?

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If 0 < st < 1, then which of the following can be true? [#permalink] New post 18 Mar 2018, 09:31
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53% (00:56) correct 46% (01:20) wrong based on 65 sessions
If \(0 < st < 1\), then which of the following can be true?

(A) \(s < -1\)and \(t > 0\)

(B) \(s < -1\) and \(t < - 1\)

(C) \(s > - 1\) and \(t < - 1\)

(D) \(s > 1\) and \(t < -1\)

(E) \(s > 1\) and \(t > 1\)
[Reveal] Spoiler: OA

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Last edited by Carcass on 07 Sep 2019, 10:23, edited 2 times in total.
Edit anwer choice C
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Re: If 0 < st < 1, then which of the following can be true? [#permalink] New post 19 Mar 2018, 18:25
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Carcass wrote:
If 0 < st < 1, then which of the following can be true?

(A) s < —1 and t > 0
(B) s < —1 and t < — 1
(C) s > 1 and t < - 1
(D) s > 1 and t < —1
(E) s > 1 and t > 1


something wrong with choice C, check it out please.
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Re: If 0 < st < 1, then which of the following can be true? [#permalink] New post 20 Mar 2018, 00:13
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How is C the answer? I think the answer should be B.
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Re: If 0 < st < 1, then which of the following can be true? [#permalink] New post 20 Mar 2018, 02:43
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Thank you, guys. Yes, there was a missing minus in answer choice C.

Thank you so much to point out.

Kudos.

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Re: If 0 < st < 1, then which of the following can be true? [#permalink] New post 28 Jun 2020, 02:21
gremather wrote:
How is C the answer? I think the answer should be B.

Either or both s and t should be a fraction with absolute value < 1, and either both should be negative or both should be positive.
Hence, option c shows that s > -1 [because any number between -1 and 0 is a negative fraction with an absolute value < 1]
and t < -1 [also a negative fraction ]
For example,
say s= - 0.5 and t= -1.5, then st = 0.75 [0< 0.75 <1]

PS: Option B is a trap. s<-1 and t<-1 do not produce a product with an absolute value between 0 and 1.
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Re: If 0 < st < 1, then which of the following can be true? [#permalink] New post 28 Jun 2020, 03:12
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Option B is a trap. s<-1 and t<-1 do not produce a product with an absolute value between 0 and 1.
Re: If 0 < st < 1, then which of the following can be true?   [#permalink] 28 Jun 2020, 03:12
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If 0 < st < 1, then which of the following can be true?

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