In a survey it was found that 60% of those surveyed liked

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swerve: Legendary Member; Posts: 2568; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

by swerve » Fri Jul 06, 2018 8:38 am

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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.

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Source: Beat The GMAT — Problem Solving | Fri Jul 06, 2018 8:38 am

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[email protected]: Elite Legendary Member; Posts: 10392; Joined: Sun Jun 23, 2013 6:38 pmFollowed by: 511 members; Location: Palo Alto, CA; Thanked: 2867 times; GMAT Score:800

by [email protected] » Mon Jul 09, 2018 7:03 am

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

Contact Rich at [email protected]

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Shahrukh@mbabreakspace: Junior | Next Rank: 30 Posts; Posts: 24; Joined: Thu Jul 05, 2018 2:28 am

by Shahrukh@mbabreakspace » Wed Jul 11, 2018 5:40 am

Neither Sugar or Honey= All- Sugar-Honey+both
= 100-60-40+30
=30

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Jeff@TargetTestPrep: GMAT Instructor; Posts: 1462; Joined: Thu Apr 09, 2015 9:34 amFollowed by: 22 members; Location: New York, NY; Thanked: 39 times

by Jeff@TargetTestPrep » Sat Jul 14, 2018 6:20 pm

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

We can use the formula:

Total = Honey + Sugar - Both + Neither

100 = 60 + 40 - 30 + n

100 = 70 + n

30 = n

Answer: B

Jeffrey Miller
Head of GMAT Instruction
[email protected]

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

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