A Drawer Contains 12 White Socks and 8 Black Socks
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A drawer contains 12 socks, of which 8 are black and 4 are white. If 3 [#permalink] 
30 Dec 2021, 01:30
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Question Stats:
91% (01:13) correct 9% (02:08) wrong based on 11 sessions
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A drawer contains 12 socks, of which 8 are black and 4 are white. If 3 of the socks are removed, how many of the socks that remain in the drawer are black?
(1) The socks that remain in the drawer have a ratio of 2 black to 1 white.
(2) One of the first two socks removed is black.
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Re: A drawer contains 12 socks, of which 8 are black and 4 are white. If 3 [#permalink] 01 Jan 2022, 04:08
Bunuel wrote:
A drawer contains 12 socks, of which 8 are black and 4 are white. If 3 of the socks are removed, how many of the socks that remain in the drawer are black?
(1) The socks that remain in the drawer have a ratio of 2 black to 1 white.
(2) One of the first two socks removed is black.
Breaking Down the Info:
We may also ask for the composition of the 4 socks removed.
Statement 1 Alone:
There are 9 socks in total left, and the ratio of black:white:total is 2:1:3. Then we must have 6 black socks and 3 white socks, so statement 1 alone is sufficient.
Statement 2 Alone:
We know that we removed 1 white and 1 black sock, but we don't know about the other two socks that we need to remove. Then statement 2 alone is insufficient.
Answer: A
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Re: A drawer contains 12 socks, of which 8 are black and 4 are white. If 3 [#permalink]
01 Jan 2022, 04:08
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A Drawer Contains 12 White Socks and 8 Black Socks
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