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Updated on: 19 Aug 2014, 07:29
Originally posted by benjamin09 on 19 Aug 2014, 06:47.
Last edited by Bunuel on 19 Aug 2014, 07:29, edited 1 time in total.
Last edited by Bunuel on 19 Aug 2014, 07:29, edited 1 time in total.
Edited the question
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D
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In a survey of a certain locality it was found that 80% of the people drink tea and 60 % of the people drink coffee. What percentage of the people drink neither tea nor coffee ?
(1) 50% people drink both coffee and tea.
(2) 30% of the people surveyed drink tea but not coffee.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
(1) 50% people drink both coffee and tea.
(2) 30% of the people surveyed drink tea but not coffee.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
19 Aug 2014, 07:34
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In a survey of a certain locality it was found that 80% of the people drink tea and 60 % of the people drink coffee. What percentage of the people drink neither tea nor coffee ?
{Total} = {Tea} + {Coffee} - {Both} + {Neither}
100 = 80 + 60 - {Both} + {Neither}
(1) 50% people drink both coffee and tea --> {Both} = 50, we can substitute above and get {Neither}. Sufficient.
(2) 30% of the people surveyed drink tea but not coffee --> {Tea} - {Both} = 30 --> 80 - {Both} = 30 --> {Both} = 50, we can substitute above and get {Neither}. Sufficient.
Answer: D.
Hope it's clear.
{Total} = {Tea} + {Coffee} - {Both} + {Neither}
100 = 80 + 60 - {Both} + {Neither}
(1) 50% people drink both coffee and tea --> {Both} = 50, we can substitute above and get {Neither}. Sufficient.
(2) 30% of the people surveyed drink tea but not coffee --> {Tea} - {Both} = 30 --> 80 - {Both} = 30 --> {Both} = 50, we can substitute above and get {Neither}. Sufficient.
Answer: D.
Hope it's clear.
22 Dec 2015, 12:23
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In a survey of a certain locality it was found that 80% of the people drink tea and 60 % of the people drink coffee. What percentage of the people drink neither tea nor coffee ?
Refer to the attachment
There are 4 areas namely 1,2,3,4
1: Only coffee
2. Coffee and Tea
3. Only Tea
4. Neither
1 + 2 + 3 + 4 = Total sample space or number of people part of the survey
According to question,
Areas (2) + (3) = 80% --- > 80x
Areas (1) + (2) = 60% --- > 60x
Area 4 = Total - [ Area (1) + (2) + (3) ]
Statement 1
Statement 1 50% people drink both coffee and tea.. This gives us Area (2).
Area (1) = 60x - 50x = 10x
Area (3) = 80x - 50x = 30x
Area (2) = 50x
Sum = 90x
Remaining = 10x. So 10% don't like tea or coffee, the neither category.
Statement 2 follows the same route.
Statement 2 30% of the people surveyed drink tea but not coffee.
Hence D.
Refer to the attachment
There are 4 areas namely 1,2,3,4
1: Only coffee
2. Coffee and Tea
3. Only Tea
4. Neither
1 + 2 + 3 + 4 = Total sample space or number of people part of the survey
According to question,
Areas (2) + (3) = 80% --- > 80x
Areas (1) + (2) = 60% --- > 60x
Area 4 = Total - [ Area (1) + (2) + (3) ]
Statement 1
Statement 1 50% people drink both coffee and tea.. This gives us Area (2).
Area (1) = 60x - 50x = 10x
Area (3) = 80x - 50x = 30x
Area (2) = 50x
Sum = 90x
Remaining = 10x. So 10% don't like tea or coffee, the neither category.
Statement 2 follows the same route.
Statement 2 30% of the people surveyed drink tea but not coffee.
Hence D.
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