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In a survey it was found that 75% of those surveyed liked mustard and

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Bunuel
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In a survey it was found that 75% of those surveyed liked mustard and [#permalink] New post   19 Dec 2016, 05:34
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In a survey it was found that 75% of those surveyed liked mustard and 50% liked mayonnaise, while 27.5% liked both mayonnaise and mustard. If there are 200 people in the survey, how many did not like mayonnaise or mustard?

A. 30
B. 20
C. 10
D. 5
E. 0
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Abhishek009
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Re: In a survey it was found that 75% of those surveyed liked mustard and [#permalink] New post   19 Dec 2016, 09:08
Bunuel wrote:
In a survey it was found that 75% of those surveyed liked mustard and 50% liked mayonnaise, while 27.5% liked both mayonnaise and mustard. If there are 200 people in the survey, how many did not like mayonnaise or mustard?

A. 30
B. 20
C. 10
D. 5
E. 0

\(n ( M ∪ Y ) = n(M) + n(Y) - n( M ∩ Y )\)

Or, \(n ( M ∪ Y ) = 75 + 50 - 27.5\)

Or, \(n ( M ∪ Y ) = 97.5\)

So, 2.5 % did not like M or Y

Hence, 2.5% of 200 = 5 People did not like mayonnaise or mustard..

Answer will be (D) 5
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stne
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Re: In a survey it was found that 75% of those surveyed liked mustard and [#permalink] New post   23 Apr 2018, 08:28
Bunuel wrote:
In a survey it was found that 75% of those surveyed liked mustard and 50% liked mayonnaise, while 27.5% liked both mayonnaise and mustard. If there are 200 people in the survey, how many did not like mayonnaise or mustard?

A. 30
B. 20
C. 10
D. 5
E. 0


Dear Bunuel,
Would you be kind enough to look into this.?

Is the question asking how many do not like mayonnaise OR mustard or is it asking how many do not like mayonnaise AND mustard .

mayonnaise or mustard = Do not like mustard +Do not like mayo - Do not like both
=45 +95 - 5 -> 135

Do not like mayonnaise AND mustard = \(\frac{2.5}{100}\) *200 = 5

Am i missing anything? Thank you.
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Re: In a survey it was found that 75% of those surveyed liked mustard and [#permalink] New post   23 Apr 2018, 08:42
stne wrote:
Bunuel wrote:
In a survey it was found that 75% of those surveyed liked mustard and 50% liked mayonnaise, while 27.5% liked both mayonnaise and mustard. If there are 200 people in the survey, how many did not like mayonnaise or mustard?

A. 30
B. 20
C. 10
D. 5
E. 0


Dear Bunuel,
Would you be kind enough to look into this.?

Is the question asking how many do not like mayonnaise OR mustard or is it asking how many do not like mayonnaise AND mustard .

mayonnaise or mustard = Do not like mustard +Do not like mayo - Do not like both
=45 +95 - 5 -> 135

Do not like mayonnaise AND mustard = \(\frac{2.5}{100}\) *200 = 5

Am i missing anything? Thank you.


The question is asking for the people who nether like mustard nor mayonnaise. Hence, your second way = 5 is correct :)
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Re: In a survey it was found that 75% of those surveyed liked mustard and [#permalink]
23 Apr 2018, 08:42
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