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# At a certain arena, with five levels, level I has 30 vacant

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Director
Joined: 26 Feb 2006
Posts: 905
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At a certain arena, with five levels, level I has 30 vacant [#permalink]  08 Jan 2007, 23:20
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At a certain arena, with five levels, level I has 30 vacant seats, level II has 45 vacant seats, level III has 40 vacant seats, level IV has 25 vacant seats and level V has 10 vacant seats. If vacant seats are filled randomly, what is the minimum number of seats that must be filled to ensure that 3 levels are completely filled?

A. 115
B. 139
C. 140
D. 148
E. 149
Director
Joined: 28 Dec 2005
Posts: 922
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Kudos [?]: 37 [0], given: 0

I thought it would beA (115).

My reasoning is, we need to take the worst case scenario where people as they come are getting filled into the rows with the most vacancy.

So, 40+45+30.
Manager
Joined: 20 Dec 2004
Posts: 180
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I would pick A as well based on worst case scenario.
_________________

Regards

Subhen

Senior Manager
Joined: 24 Oct 2006
Posts: 339
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I get 148 too.

To me, the worst case scenario is filling all seats except one in all levels, ie, 29, 44, 39, 24, and 9 which adds up to 145. Add 3 to fill 3 levels. Hence 148.
Director
Joined: 28 Dec 2005
Posts: 922
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Sumithra wrote:
I get 148 too.

To me, the worst case scenario is filling all seats except one in all levels, ie, 29, 44, 39, 24, and 9 which adds up to 145. Add 3 to fill 3 levels. Hence 148.

Now, when you put it like that...you are obviously right...
Senior Manager
Joined: 24 Oct 2006
Posts: 339
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Kudos [?]: 16 [0], given: 0

aurobindo wrote:
Sumithra wrote:
I get 148 too.

To me, the worst case scenario is filling all seats except one in all levels, ie, 29, 44, 39, 24, and 9 which adds up to 145. Add 3 to fill 3 levels. Hence 148.

I too get 148.

lol, SC! First I got 115, then I thought a bit and corrected to 148. Silly justification.
Well, I too got 148! Thanks!
Manager
Joined: 09 Nov 2006
Posts: 128
Followers: 1

Kudos [?]: 3 [0], given: 0

Tricky question. Those who choose A read "minimum" in the stem, while it is "minimum to ensure" (means to give 100% guarantee)

Honestly, I chose A from the begining
Now I think it is D
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