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In year x, it rained on 40% of all Mondays and 20% of all Tuesdays. On

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In year x, it rained on 40% of all Mondays and 20% of all Tuesdays. On  [#permalink]

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New post 25 Jan 2017, 01:02
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51% (00:54) correct 49% (01:27) wrong based on 105 sessions

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In year x, it rained on 40% of all Mondays and 20% of all Tuesdays. On what percentage of all the weekdays in year x did it NOT rain?

(1) During year x, it rained on 10% of all Wednesdays.

(2) During year x, it did not rain on 70% of Thursdays and it did not rain on 95% of all Fridays.

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Re: In year x, it rained on 40% of all Mondays and 20% of all Tuesdays. On  [#permalink]

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New post 26 Jan 2017, 09:52
ziyuenlau wrote:
In year x, it rained on 40% of all Mondays and 20% of all Tuesdays. On what percentage of all the weekdays in year x did it NOT rain?

(1) During year x, it rained on 10% of all Wednesdays.

(2) During year x, it did not rain on 70% of Thursdays and it did not rain on 95% of all Fridays.


IMO E.

I believe the question is asking us to find the probability that it didn't rain for all of the weekdays.
We are only given individual probabilities, we need combined probabilities as well to get the answer.
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Re: In year x, it rained on 40% of all Mondays and 20% of all Tuesdays. On  [#permalink]

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New post 27 Jan 2017, 08:26
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Official answer from Manhattan Prep.

In order to answer the question, we must know the annual rain percentages for each weekday and the proportion each weekday represents relative to the total number of weekdays in year x. (Since we don't know the specific day that year x starts, we cannot assume that Mondays represent exactly 1/5 of the total weekdays in year x, Tuesdays represent 1/5 of the total weekdays in year x, etc.)

(1) INSUFFICIENT: This provides information about the percentage of Wednesday that it rained but this ALONE is not sufficient.

(2) INSUFFICIENT: This provides information about the the percentage of Thursdays and the percentage of Fridays that it rained, but this ALONE is not sufficient.

(1) AND (2) INSUFFICIENT:  Both statements together, in conjunction with the information given in the question, provide the annual rain percentages for each weekday during year x. However, because we do not know the proportion each weekday represents relative to the total number of weekdays in year x, we still do not have sufficient information to answer the question.

The correct answer is E.
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Re: In year x, it rained on 40% of all Mondays and 20% of all Tuesdays. On  [#permalink]

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New post 05 Feb 2018, 21:44
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Re: In year x, it rained on 40% of all Mondays and 20% of all Tuesdays. On &nbs [#permalink] 05 Feb 2018, 21:44
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