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09 Mar 2011, 08:15
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B
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Difficulty:
25%
(medium)
Question Stats:
71% (01:09) correct
29%
(01:30)
wrong
based on 405
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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
(A) 3
(B) 5
(C) 7
(D) 9
(E) 11
09 Mar 2011, 08:37
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banksy
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
General Discussion
This type of question does not involve any calculation.
Only logic is required.
We have 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 four color.
Answer is B
Only logic is required.
We have 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 four color.
Answer is B
