There are 2 blue socks, 4 white socks, 6 black socks, and 8 red socks : GMAT Problem Solving (PS)
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There are 2 blue socks, 4 white socks, 6 black socks, and 8 red socks

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Manager
Joined: 10 Feb 2011
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There are 2 blue socks, 4 white socks, 6 black socks, and 8 red socks [#permalink]

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09 Mar 2011, 07:15
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There are 2 blue socks, 4 white socks, 6 black socks, and 8 red socks in sock drawer. What is the least number of socks that you have to pull out to make sure that you will have a matching pair? (Assume that all the socks are identical except for the color)

(A) 3
(B) 5
(C) 7
(D) 9
(E) 11
[Reveal] Spoiler: OA
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Joined: 06 Feb 2011
Posts: 29
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Kudos [?]: 5 [1] , given: 4

Re: There are 2 blue socks, 4 white socks, 6 black socks, and 8 red socks [#permalink]

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09 Mar 2011, 07:37
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banksy wrote:
253. There are 2 blue socks, 4 white socks, 6 black socks, and 8 red socks in sock drawer. What is the least number of socks that you have to pull out to make sure that you will have a matching pair? (Assume that all the socks are identical except for the color)
(A) 3
(B) 5
(C) 7
(D) 9
(E) 11

2 Blue socks, 4 white socks, 6 black socks and 8 red socks.

Question is asking what is the worst case scenario to get matching socks?

Since there are 4 colors, if you draw 4 socks, worst case scenario is you could still have 1 sock per color and not have a match.

Therefore, upon drawing the 5th sock, you will definitely have a match since the 5th sock will form a least a pair with the 1st 4

So 4+1 = 5

Ans: B
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Kudos [?]: 158 [0], given: 0

Re: There are 2 blue socks, 4 white socks, 6 black socks, and 8 red socks [#permalink]

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15 May 2016, 11:55
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Re: There are 2 blue socks, 4 white socks, 6 black socks, and 8 red socks   [#permalink] 15 May 2016, 11:55
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