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# 2 slips drawn

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Manager
Joined: 04 Dec 2008
Posts: 97

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16 Jul 2009, 03:03
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Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10?

(A) Three
(B) Four
(C) Five
(D) Six
(E) Seven

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Senior Manager
Joined: 23 Jun 2009
Posts: 353
Location: Turkey
Schools: UPenn, UMich, HKS, UCB, Chicago

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16 Jul 2009, 03:11
It is an "at least" question. So it wants us a number that guarantees the solution.
So take the worst case;
First you take 0
Second you take 1
...
...
Sixth you take 5 (This does not gives us the solution)
Seventh you take 6 (this guarantees the solution)
i.e. even in worst case one can find the solution in 7 steps. So 7 steps guarantees.

E
Manager
Joined: 04 Dec 2008
Posts: 97

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06 Aug 2009, 04:20
maliyeci wrote:
It is an "at least" question. So it wants us a number that guarantees the solution.
So take the worst case;
First you take 0
Second you take 1
...
...
Sixth you take 5 (This does not gives us the solution)
Seventh you take 6 (this guarantees the solution)
i.e. even in worst case one can find the solution in 7 steps. So 7 steps guarantees.

E

Thanks! I understand.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: 2 slips drawn   [#permalink] 06 Aug 2009, 04:20
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# 2 slips drawn

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