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25 May 2017, 09:38
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
59% (00:59) correct
41%
(01:46)
wrong
based on 27
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A drawer contains 32 buttons, of which 20 are blue and 12 are brown. If 7 of the buttons are removed, how many of the buttons left in the drawer are brown?
(1) The difference between the number of blue buttons removed and the number of brown buttons removed is 1.
(2) Each of the first 4 buttons removed are brown.
(1) The difference between the number of blue buttons removed and the number of brown buttons removed is 1.
(2) Each of the first 4 buttons removed are brown.
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25 May 2017, 09:48
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Statement (1) The difference between the number of blue buttons removed and the number of brown buttons removed is 1.
As per this statement,
Buttons removed can be :
Blue=4 Brown=3 or Blue=3 Brown=4
This statement is not sufficient.
Statement (2) Each of the first 4 buttons removed are brown.
We do not know about the color of the last 3 buttons removed, hence this statement is not sufficient.
Combining both statements we get Buttons removed Blue=3 Brown=4
Answer is C
As per this statement,
Buttons removed can be :
Blue=4 Brown=3 or Blue=3 Brown=4
This statement is not sufficient.
Statement (2) Each of the first 4 buttons removed are brown.
We do not know about the color of the last 3 buttons removed, hence this statement is not sufficient.
Combining both statements we get Buttons removed Blue=3 Brown=4
Answer is C
20 Feb 2018, 00:36
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Very tricky question.
Let a = number of blue buttons removed, b = number of brown buttons removed., a + b = 7
Statement 1: The difference between the number of blue buttons removed and the number of brown buttons removed is 1.
=> a - b = 1, so a = 4, b = 3
Looks like sufficient to tell number of browns left after removal process.
But wait, we get b = 3 (number of brown buttons removed) which contradicts statement 2 (which says first b >= 4, first four buttons removed are brown).
so we are missing something.
oh ya, it could be other way round , b - a = 1? yes it is , if so, b = 4 and a = 3, which aligns with Statement 2. so we need both the statements to answer => (C)
Take away: when we get answer from one of the statements, always better to verify that answer by plugging into the other statement. If it aligns with another statement, our answer is correct. Otherwise, we are missing something from our analysis.
Let a = number of blue buttons removed, b = number of brown buttons removed., a + b = 7
Statement 1: The difference between the number of blue buttons removed and the number of brown buttons removed is 1.
=> a - b = 1, so a = 4, b = 3
Looks like sufficient to tell number of browns left after removal process.
But wait, we get b = 3 (number of brown buttons removed) which contradicts statement 2 (which says first b >= 4, first four buttons removed are brown).
so we are missing something.
oh ya, it could be other way round , b - a = 1? yes it is , if so, b = 4 and a = 3, which aligns with Statement 2. so we need both the statements to answer => (C)
Take away: when we get answer from one of the statements, always better to verify that answer by plugging into the other statement. If it aligns with another statement, our answer is correct. Otherwise, we are missing something from our analysis.
