Tablets

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mmslf75: Legendary Member; Posts: 503; Joined: Sun Aug 09, 2009 9:53 pmFollowed by: 2 members; Thanked: 31 times

by mmslf75 » Wed Dec 16, 2009 8:18 am

Source GMATClub
A box contains 10 tablets of medicine A and 15 tablets of medicine B. If tablets are taken from the box at random, what is the least possible that ensures that at least two tablets of each kind are among the extracted?

12
15
17
19
21
OA C

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Source: Beat The GMAT — Problem Solving | Wed Dec 16, 2009 8:18 am

maihuna: Legendary Member; Posts: 1578; Joined: Sun Dec 28, 2008 1:49 amFollowed by: 9 members; Thanked: 82 times; GMAT Score:720

by maihuna » Wed Dec 16, 2009 8:34 am

mmslf75 wrote:Source GMATClub
A box contains 10 tablets of medicine A and 15 tablets of medicine B. If tablets are taken from the box at random, what is the least possible that ensures that at least two tablets of each kind are among the extracted?

12
15
17
19
21
OA C

taken 15 the worst case all from source B so 2 more will result in each source 2.

Charged up again to beat the beast

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mmslf75: Legendary Member; Posts: 503; Joined: Sun Aug 09, 2009 9:53 pmFollowed by: 2 members; Thanked: 31 times

by mmslf75 » Wed Dec 16, 2009 9:08 am

maihuna wrote:
mmslf75 wrote:Source GMATClub
A box contains 10 tablets of medicine A and 15 tablets of medicine B. If tablets are taken from the box at random, what is the least possible that ensures that at least two tablets of each kind are among the extracted?

12
15
17
19
21
OA C
taken 15 the worst case all from source B so 2 more will result in each source 2.

Cant it be 12 ??

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gmat_basher: Newbie | Next Rank: 10 Posts; Posts: 9; Joined: Tue Dec 15, 2009 3:10 pm

by gmat_basher » Wed Dec 16, 2009 11:02 am

Tablet - A = 10
Tablet - B = 15,

If you take 12, There is a possiblitity that all 12 can be from Tablet-B.

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Jeff@TargetTestPrep: GMAT Instructor; Posts: 1462; Joined: Thu Apr 09, 2015 9:34 amFollowed by: 22 members; Location: New York, NY; Thanked: 39 times

by Jeff@TargetTestPrep » Wed Dec 13, 2017 11:20 am

mmslf75 wrote:Source GMATClub
A box contains 10 tablets of medicine A and 15 tablets of medicine B. If tablets are taken from the box at random, what is the least possible that ensures that at least two tablets of each kind are among the extracted?

12
15
17
19
21

Let's consider the worst possible scenario: It's possible to take out 15 tablets and all of them are medicine B. In this case, we only take out one kind of medicine instead of both. Therefore, we need to take out at least 15 + 2 = 17 tablets (all 15 of medicine B and 2 of medicine A) to ensure that at least two tablets of each kind are extracted.

Answer: C

Jeffrey Miller
Head of GMAT Instruction
[email protected]

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