In a survey it was found that 60% of those surveyed liked honey and 40% of the people liked sugar, while 30% liked both honey and sugar. If 100 people took the survey, how many liked neither honey nor sugar?
A. 25
B. 30
C. 35
D. 40
E. 60
The OA is B.
Please, can anyone explain this PS question? I can't get the correct answer. I need help. Thanks.
In a survey it was found that 60% of those surveyed liked
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Hi swerve,
We're told that in a survey it was found that 60% of those surveyed liked honey, 40% of the people liked sugar and 30% liked both honey and sugar. If 100 people took the survey, we're asked for the number who liked NEITHER honey nor sugar. This is an example of a standard Overlapping Sets question and can be solved in couple of different ways. Here's how you can use the Overlapping Sets formula to get to the answer:
Total = (Group 1) + (Group 2) - (Both) + (Neither)
Here, Group 1 will be those who liked honey and Group 2 will be those who like sugar:
100 = 60 + 40 - 30 + (Neither)
100 = 70 + (Neither)
30 = Neither
Final Answer: B
GMAT assassins aren't born, they're made,
Rich
We're told that in a survey it was found that 60% of those surveyed liked honey, 40% of the people liked sugar and 30% liked both honey and sugar. If 100 people took the survey, we're asked for the number who liked NEITHER honey nor sugar. This is an example of a standard Overlapping Sets question and can be solved in couple of different ways. Here's how you can use the Overlapping Sets formula to get to the answer:
Total = (Group 1) + (Group 2) - (Both) + (Neither)
Here, Group 1 will be those who liked honey and Group 2 will be those who like sugar:
100 = 60 + 40 - 30 + (Neither)
100 = 70 + (Neither)
30 = Neither
Final Answer: B
GMAT assassins aren't born, they're made,
Rich
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We can use the formula:swerve wrote:In a survey it was found that 60% of those surveyed liked honey and 40% of the people liked sugar, while 30% liked both honey and sugar. If 100 people took the survey, how many liked neither honey nor sugar?
A. 25
B. 30
C. 35
D. 40
E. 60
Total = Honey + Sugar - Both + Neither
100 = 60 + 40 - 30 + n
100 = 70 + n
30 = n
Answer: B
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