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Bunuel
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In a survey it was found that 75% of those surveyed liked mustard and 19 Dec 2016, 05:34
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Question Stats:

91% (01:44) correct 9% (02:13) wrong based on 120 sessions

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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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D
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Abhishek009
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In a survey it was found that 75% of those surveyed liked mustard and 19 Dec 2016, 09:08
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Bunuel
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
Show more
\(n ( M ∪ Y ) = n(M) + n(Y) - n( M ∩ Y )\)

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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In a survey it was found that 75% of those surveyed liked mustard and 23 Apr 2018, 08:28
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Bunuel
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
Show more

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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In a survey it was found that 75% of those surveyed liked mustard and 23 Apr 2018, 08:42
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stne
Bunuel
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.
Show more

The question is asking for the people who nether like mustard nor mayonnaise. Hence, your second way = 5 is correct :)
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