Quantitative Aptitude :: Probability - Discussion
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A lady has fine gloves and hats in her closet 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?
A50
B8
C60
D42
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Solution: Suppose the lady first picks 32 Red gloves, and then 24 Yellow gloves.
The next pair she picks will be one Yellow and One Blue which does not make a pair.
Again she will have to pick two more.
The next two will be blue gloves. So she will make a total of 32 24 1 1 2 = 60 picks.
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why is taken 2 blue pair not 1 pair ???
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Solution: Suppose the lady first picks 32 Red gloves, and then 24 Yellow gloves.
The next pair she picks will be one Yellow and One Blue which does not make a pair.
Again she will have to pick two more.
The next two will be blue gloves. So she will make a total of 32 24 1 1 2 = 60 picks.
Read Full Answer
Report Error
Please Login First Click Here