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M20-20

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M20-20  [#permalink]

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New post 16 Sep 2014, 01:08
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  5% (low)

Question Stats:

89% (00:48) correct 11% (00:52) wrong based on 130 sessions

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A consumer preference survey revealed that out of the 200 surveyed people 80 liked tea and 70 liked both tea and coffee. If 100 of the surveyed people liked neither tea nor coffee, how many of the surveyed people liked coffee but not tea?

A. 10
B. 20
C. 40
D. 50
E. 60

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Re M20-20  [#permalink]

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New post 16 Sep 2014, 01:08
Official Solution:

A consumer preference survey revealed that out of the 200 surveyed people 80 liked tea and 70 liked both tea and coffee. If 100 of the surveyed people liked neither tea nor coffee, how many of the surveyed people liked coffee but not tea?

A. 10
B. 20
C. 40
D. 50
E. 60


Since \(\{Total\}=\{Tea\}+\{Coffee\}-\{Both\}+\{Neither\}\), then: \(200=80+\{Coffee\}-70+100\), so \(\{Coffee\}=90\).

Therefore the number of people who like coffee but not tea is \(\{Coffee\}-\{Both\}=90-70=20\).


Answer: B
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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!!!

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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: M20-20  [#permalink]

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New post 10 Oct 2017, 05:55
Solve using venn diagrams. The answer is 20 , i.e option B
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Re: M20-20 &nbs [#permalink] 10 Oct 2017, 05:55
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