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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]  18 Mar 2018, 09:31
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Question Stats:

54% (00:53) correct 45% (01:17) wrong based on 70 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
Manager
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Re: If 0 < st < 1, then which of the following can be true? [#permalink]  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.
Manager
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Re: If 0 < st < 1, then which of the following can be true? [#permalink]  20 Mar 2018, 00:13
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How is C the answer? I think the answer should be B.
Founder
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Re: If 0 < st < 1, then which of the following can be true? [#permalink]  20 Mar 2018, 02:43
Expert's post
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]  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]  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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