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Did a train arrive at station X no earlier than 4:00 p.m. and no later

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Did a train arrive at station X no earlier than 4:00 p.m. and no later  [#permalink]

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New post 05 Jun 2016, 13:27
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Difficulty:

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Question Stats:

53% (02:28) correct 47% (02:21) wrong based on 76 sessions

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Did a train arrive at station X no earlier than 4:00 p.m. and no later than 8:00 p.m. on Tuesday?

(1) 36 hours after the train arrived, it was between 6 a.m. and 10:00 a.m. on Thursday.

(2) 36 hours before the train arrived, it was between 3:00 a.m. and 7:30 a.m. on Monday

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Re: Did a train arrive at station X no earlier than 4:00 p.m. and no later  [#permalink]

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New post 06 Jun 2016, 12:59
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AbdurRakib wrote:
Did a train arrive at station X no earlier than 4:00 p.m. and no later than 8:00 p.m. on Tuesday?

(1) 36 hours after the train arrived, it was between 6 a.m. and 10:00 a.m. on Thursday.

(2) 36 hours before the train arrived, it was between 3:00 a.m. and 7:30 a.m. on Monday

Dear AbdurRakib
I'm happy to help. :-) This is a clever question.

Statement #1: 36 hours after the train arrived, it was between 6 a.m. and 10:00 a.m. on Thursday.
Well, 24 hours before that, 12 hours after the train, was between 6 a.m. and 10:00 a.m. on Wednesday. Then, 12 hours before that, the time of the train, would have been between 6 p.m. and 10:00 p.m. on Tuesday.
The train could have left at 7:15 pm on Tuesday, which would give a "yes" to the prompt question.
The train could have left at 9:30 pm on Tuesday, which would give a "no" to the prompt question.
Because two answers to the prompt are possible, we do not have the information we need to give a definitive answer. The first statement, alone and by itself, is not sufficient.

Now, forget all about statement #1.

Statement #2: 36 hours before the train arrived, it was between 3:00 a.m. and 7:30 a.m. on Monday.
Well, 24 hours after that, 12 hours before the train, was between 3:00 a.m. and 7:30 a.m on Tuesday. Then, 12 hours after that, the time of the train, would have been between 3:00 p.m. and 7:30 p.m. on Tuesday.
The train could have left at 7:15 pm on Tuesday, which would give a "yes" to the prompt question.
The train could have left at 3:15 pm on Tuesday, which would give a "no" to the prompt question.
Because two answers to the prompt are possible, we do not have the information we need to give a definitive answer. The first statement, alone and by itself, is not sufficient.

Combined statement.
Statement #1: 36 hours after the train arrived, it was between 6 a.m. and 10:00 a.m. on Thursday.
Statement #2: 36 hours before the train arrived, it was between 3:00 a.m. and 7:30 a.m. on Monday.
The only region allowed by both is the overlap, 6 p.m. and 7:30 p.m. on Tuesday. The train's departure time has to be within that region, and everything in that region is after 4:00 pm and before 8:00 pm, so we can give a definitive "yes" to the prompt question. Because we can give a definitive answer, we must have sufficient information.

Both statements sufficient together but not separately. OA = (C)

Mike :-)
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Re: Did a train arrive at station X no earlier than 4:00 p.m. and no later  [#permalink]

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New post 22 Dec 2017, 12:31
Whaaat! Hehe, I just clicked on one button without reading and now I got this in my workbook :(
:cry:
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Re: Did a train arrive at station X no earlier than 4:00 p.m. and no later &nbs [#permalink] 22 Dec 2017, 12:31
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