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06 Jan 2020, 07:08
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
58% (02:01) correct
42%
(01:50)
wrong
based on 513
sessions
History
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From a drawer containing black, blue and gray solid-color socks, including at least three socks of each color, how many matched pairs can be removed?
(1) The drawer contains 11 socks.
(2) The drawer contains an equal number of black and gray socks.
Are You Up For the Challenge: 700 Level Questions
(1) The drawer contains 11 socks.
(2) The drawer contains an equal number of black and gray socks.
Are You Up For the Challenge: 700 Level Questions
12 Jan 2020, 11:37
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Statement 1 tells us that the sum of the 3 different colors = 11.
With the given constraint of at least 3 of each color, we can have 5 black socks, 3 blue and 3 gray. This would give us 4 matching pairs (2*2 black, 2*1 blue, 2*1 gray).
We could also have 4 black, 4 gray, and 3 blue. This would give us 5 matching pairs. (2*2 black, 2*2 gray, 2*1 blue).
We get 2 different answers. We can eliminate A and D.
Statement 2 tells us that there is an equal number of black and gray. No need to explain this. We can have 100 black, 100 gray, hence 100 different matching pairs. (50*2 black, 50*2 gray). We could also have 4 gray and 4 black.
Unlimited different answers from this. We can eliminate B.
Statement 1+2 together:
Black and gray are equal, total number of socks = 11.
Ex: 5 blue, 3 gray and 3 black. = 4 different pairs.
4 black, 4 gray, 3 blue = 5 different pairs.
Eliminate C.
E is the correct answer.
With the given constraint of at least 3 of each color, we can have 5 black socks, 3 blue and 3 gray. This would give us 4 matching pairs (2*2 black, 2*1 blue, 2*1 gray).
We could also have 4 black, 4 gray, and 3 blue. This would give us 5 matching pairs. (2*2 black, 2*2 gray, 2*1 blue).
We get 2 different answers. We can eliminate A and D.
Statement 2 tells us that there is an equal number of black and gray. No need to explain this. We can have 100 black, 100 gray, hence 100 different matching pairs. (50*2 black, 50*2 gray). We could also have 4 gray and 4 black.
Unlimited different answers from this. We can eliminate B.
Statement 1+2 together:
Black and gray are equal, total number of socks = 11.
Ex: 5 blue, 3 gray and 3 black. = 4 different pairs.
4 black, 4 gray, 3 blue = 5 different pairs.
Eliminate C.
E is the correct answer.
General Discussion
06 Jan 2020, 08:26
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Bunuel
From 2
BLACK...........BLUE............GRAY
l- - - l l- - -l l- - -l 3 PAIRS
l- - - -l l- - -l l- - - -l 5 PAIRS
FROM 1
BLACK..........BLUE..............GRAY
l- - -l l- - - -l l- - - -l 5 PAIRS
l- - -l l- - - -l l- - -l 4 PAIRS
l- - - -l l- - -l l- - - -l 5 PAIRS
statement 2 is contained in statement 1
E:)
