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# In a survey it was found that 95% of those surveyed liked mustard and

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Math Expert
Joined: 02 Sep 2009
Posts: 50625
In a survey it was found that 95% of those surveyed liked mustard and  [#permalink]

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22 Dec 2016, 01:25
1
3
00:00

Difficulty:

25% (medium)

Question Stats:

72% (01:28) correct 28% (01:23) wrong based on 226 sessions

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In a survey it was found that 95% of those surveyed liked mustard and 85% of the people liked mayonnaise, if there are 100 people in the survey, what is the least number of people who could have liked mustard and mayonnaise?

A. 75
B. 79
C. 80
D. 81
E. 85

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Joined: 18 Oct 2016
Posts: 139
Location: India
WE: Engineering (Energy and Utilities)
Re: In a survey it was found that 95% of those surveyed liked mustard and  [#permalink]

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25 Dec 2016, 09:47
Option C)

Number of people surveyed = 100
Liked Mustard = 95
Liked Mayonnaise = 85

Liked Mustard & Mayonnaise (Least) = 95 + 85 -100 = 80
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Re: In a survey it was found that 95% of those surveyed liked mustard and  [#permalink]

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25 Dec 2016, 11:48
Bunuel wrote:
In a survey it was found that 95% of those surveyed liked mustard and 85% of the people liked mayonnaise, if there are 100 people in the survey, what is the least number of people who could have liked mustard and mayonnaise?

A. 75
B. 79
C. 80
D. 81
E. 85

( 85 + 95 ) - 100 = 80

Hence , the correct answer will be (C) 80...

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Re: In a survey it was found that 95% of those surveyed liked mustard and  [#permalink]

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30 Oct 2017, 10:58
"the people" here refers to the total people who are surveyed.
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Re: In a survey it was found that 95% of those surveyed liked mustard and  [#permalink]

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25 Nov 2017, 06:57
1
2
Bunuel wrote:
In a survey it was found that 95% of those surveyed liked mustard and 85% of the people liked mayonnaise, if there are 100 people in the survey, what is the least number of people who could have liked mustard and mayonnaise?

A. 75
B. 79
C. 80
D. 81
E. 85

when "none" = 0, "both" = 80
when "none" = 5, "both" = 85

since, here it is asked for the least possible value of "both", "none" is equal to 0, and "both" is equal to 80

the rule that bears mention: when "none" is at the least, "both" is also at the least, and when the value of "none" is set as the highest, the value of "both" will also be the highest and vice - versa

thanks
cheers through the kudos button if this helps
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Re: In a survey it was found that 95% of those surveyed liked mustard and  [#permalink]

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25 Nov 2017, 08:23
Bunuel wrote:
In a survey it was found that 95% of those surveyed liked mustard and 85% of the people liked mayonnaise, if there are 100 people in the survey, what is the least number of people who could have liked mustard and mayonnaise?

A. 75
B. 79
C. 80
D. 81
E. 85

The least number when mustard and mayo overlap is 80
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Re: In a survey it was found that 95% of those surveyed liked mustard and &nbs [#permalink] 25 Nov 2017, 08:23
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# In a survey it was found that 95% of those surveyed liked mustard and

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