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Out of 50 people in a party,24 preferred Chinese food,18 preferred Con

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Out of 50 people in a party,24 preferred Chinese food,18 preferred Con [#permalink]

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New post 30 Jul 2017, 08:21
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Out of 50 people in a party,24 preferred Chinese food,18 preferred Continental food and 20 preferred South Indian Food.What is the maximum number of people who preferred none of the three?

A. 18
B. 20
C. 24
D. 26
E. 32
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Posts: 2
Re: Out of 50 people in a party,24 preferred Chinese food,18 preferred Con [#permalink]

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New post 30 Jul 2017, 09:02
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2
It is D.

To find out the maximum number of people who dont like any of the three, we can utilize the venn diagram. If we need to find the maximum number of people who do not like any food, the three food categories need to overlap in such a way that they fall over each other (Refer to the diagram).

Then the maximum number of people who do not like any food will be:
Total number of people - Number of people in the largest group= 50-24=26
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Re: Out of 50 people in a party,24 preferred Chinese food,18 preferred Con [#permalink]

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New post 30 Jul 2017, 11:16
DH99 wrote:
Out of 50 people in a party,24 preferred Chinese food,18 preferred Continental food and 20 preferred South Indian Food.What is the maximum number of people who preferred none of the three?

A. 18
B. 20
C. 24
D. 26
E. 32


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Re: Out of 50 people in a party,24 preferred Chinese food,18 preferred Con [#permalink]

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New post 01 Aug 2017, 00:05
DH99 wrote:
Out of 50 people in a party,24 preferred Chinese food,18 preferred Continental food and 20 preferred South Indian Food.What is the maximum number of people who preferred none of the three?

A. 18
B. 20
C. 24
D. 26
E. 32


Maximum number of people who preferred none of these foods = 50 - (Minimum number of people who preferred these three foods)
From the given data, the minimum number of people who preferred any of the three foods is 24.
50-24=26
Answer: D
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Re: Out of 50 people in a party,24 preferred Chinese food,18 preferred Con   [#permalink] 01 Aug 2017, 00:05
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