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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, 08:15
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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
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Re: There are 2 blue socks, 4 white socks, 6 black socks, and 8 red socks [#permalink]
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09 Mar 2011, 08:37
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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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Re: There are 2 blue socks, 4 white socks, 6 black socks, and 8 red socks [#permalink]
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Re: There are 2 blue socks, 4 white socks, 6 black socks, and 8 red socks [#permalink]
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02 Jun 2017, 03:50
This type of question does not involve any calculation. Just logic is required. We ahve 4 different types of socks (Blue, White, Black, Red). In the worse case, you will draw each of 4 different colors in the 4 first drawals. Then, the next drawal will definitely be one of those for color. Answer is B
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Re: There are 2 blue socks, 4 white socks, 6 black socks, and 8 red socks [#permalink]
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05 Jun 2017, 15:49
banksy wrote: 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 We need to determine the fewest number of socks that we must pull to get a matching pair. Pull one: blue Pull two: white Pull three: red Pull four: black We see that on the 5th pull, no matter what color sock is pulled, we’d have a matching pair. Answer: B
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Re: There are 2 blue socks, 4 white socks, 6 black socks, and 8 red socks
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