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Theater M has 25 rows with 27 seats in each row. How many of

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Theater M has 25 rows with 27 seats in each row. How many of [#permalink] New post 08 Jan 2010, 13:23
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E

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68% (01:42) correct 32% (00:46) wrong based on 56 sessions
Theater M has 25 rows with 27 seats in each row. How many of the seats were occupied during a certain show?

(1) During the show, there was an average (arithmetic mean) of 10 unoccupied seats per row for the front 20 rows.
(2) During the show, there was an average (arithmetic mean) of 20 unoccupied seats per row for the back 15 rows.
[Reveal] Spoiler: OA
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Re: Theater M [#permalink] New post 10 Jan 2010, 09:09
we know that there were 17*20 people in the first 20 rows

and

7*15 people in the last 15 rows


however there is an overlap of 10 rows between the first 20 and the last 15 rows.

to know how many people occupied those 10 rows, additional information is needed.

hence answer is E

a venn diagram will help in this question
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Re: Theater M [#permalink] New post 10 Jan 2010, 09:57
yes i didnt realised that...
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Theater M has 25 rows with 27 seats in each row. [#permalink] New post 26 Apr 2013, 16:10
Theater M has 25 rows with 27 seats in each row. How many of the seats were occupied during a certain show?

(1) During the show, there was an average (arithmetic mean) of 10 unoccupied seats per row for the front 20 rows.

(2) During the show, there was an average (arithmetic mean) of 20 unoccupied seats per row for the back 15 rows.
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Re: Theater M has 25 rows with 27 seats in each row. [#permalink] New post 26 Apr 2013, 21:53
Theater M has 25 rows with 27 seats in each row. How many of the seats were occupied during a certain show?

(1) During the show, there was an average (arithmetic mean) of 10 unoccupied seats per row for the front 20 rows.
Clearly not sufficient, no info about other rows

(2) During the show, there was an average (arithmetic mean) of 20 unoccupied seats per row for the back 15 rows.
Clearly not sufficient, no info about other rows

1+2)With 1 we know that there are 200 unoccupied in the first 20 rows, with 2 we know that there are 300 unoccupied in the last 15 rows.
Because we don't know how many seats there are in the common part (rows 10-20) both statements are still not sufficient.
E

Hope it's clear, let me know
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Re: Theater M has 25 rows with 27 seats in each row. How many of [#permalink] New post 11 Oct 2013, 05:32
sagarsabnis wrote:
Theater M has 25 rows with 27 seats in each row. How many of the seats were occupied
during a certain show?

(1) During the show, there was an average (arithmetic mean) of 10 unoccupied seats
per row for the front 20 rows.
(2) During the show, there was an average (arithmetic mean) of 20 unoccupied seats
per row for the back 15 rows.
[Reveal] Spoiler:
E


Let me try to explain this one.

So we are asked how many seats occupied.

Statement 1 - Clearly insfficient, we only have information about 20 rows
Statement 2- Same here, we are missing information on other rows

Now both (1) and (2) together -
So we have from the 1st statement that the total number of seats for the first 20 rows that were unnocupied totaled 200.
And also the unnocpied for the back 15 rows were 300.
But we have an overlap here between rows. If we don't have more information it will be impossible to know. Imagine a venn diagram and visualize the intersection between both. As long as you don't have the exact value for the intersection it will be impossible to know the total number of unnocupied seats and hence know what the occupied seats are.

I think this will do for now.
Hope it helps
Re: Theater M has 25 rows with 27 seats in each row. How many of   [#permalink] 11 Oct 2013, 05:32
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