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# Each of the integers from 0 to 9, inclusive, is written on a

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Director
Joined: 15 Aug 2005
Posts: 804
Location: Singapore
Followers: 2

Kudos [?]: 19 [0], given: 0

Each of the integers from 0 to 9, inclusive, is written on a [#permalink]  16 Oct 2005, 00:57
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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. 3

B. 4

C. 5

D. 6

E. 7
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Cheers, Rahul.

GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5078
Location: Singapore
Followers: 22

Kudos [?]: 184 [0], given: 0

0,1,2,3,4,5,6,7,8,9

The most must be drawn if we keep drawing small numbers. 0+1+2+3+4

Ans should be 5 if I'm right.

And Rahul, good luck for your GMAT tomorrow! Get lots of rest, you'll need it!
SVP
Joined: 24 Sep 2005
Posts: 1893
Followers: 11

Kudos [?]: 139 [0], given: 0

ywilfred wrote:
0,1,2,3,4,5,6,7,8,9

The most must be drawn if we keep drawing small numbers. 0+1+2+3+4

Ans should be 5 if I'm right.

And Rahul, good luck for your GMAT tomorrow! Get lots of rest, you'll need it!

Wow, you're gonna sit for GMAT tomorrow?!!! .....All the best~!!!! Try to ace the test ...you're deserved!!!!
SVP
Joined: 05 Apr 2005
Posts: 1733
Followers: 5

Kudos [?]: 38 [0], given: 0

it should be 7.

take out: 0,1,2,3,4,5, and 6 to make sure you have 10 from 2 of the drawing. now only 6+4 or 6+5 makes 10 or more than 10.
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5078
Location: Singapore
Followers: 22

Kudos [?]: 184 [0], given: 0

HIMALAYA wrote:
it should be 7.

take out: 0,1,2,3,4,5, and 6 to make sure you have 10 from 2 of the drawing. now only 6+4 or 6+5 makes 10 or more than 10.

ah yes, i fail to read this last line "how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10? " and was too hasty in solving
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