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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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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
2
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


Please name topics properly. Read rule 3 in our RULES OF POSTING. Thank you.
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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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Out of 50 people in a party, 24 preferred Chinese food, 18 preferred..  [#permalink]

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New post 03 Aug 2018, 09:30
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) None of the above
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Re: Out of 50 people in a party, 24 preferred Chinese food, 18 preferred..  [#permalink]

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New post 03 Aug 2018, 09:51
2
enak 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?

The maximum number of people who preferred none of the three foods = Total - largest number of people for a preferred food
Because, there is a chance of the other two lower number people of preferred food to be covered in the largest number of preferred food.
i.e, 18 people who preferred Continental food and 20 people who preferred South Indian food can be overlapped with 24 people who preferred Chinese food

Therefore,
50 - 24 = 26

Hence, D.
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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 03 Aug 2018, 10:05
enak 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) None of the above


Merging topics. Please search before posting.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: Out of 50 people in a party,24 preferred Chinese food,18 preferred Con &nbs [#permalink] 03 Aug 2018, 10:05
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