Venn Diagram Sets for Competitive Exam Success

Venn Diagram Sets

Q. In a survey of 150 people, 90 like basketball, 60 like soccer, and 30 like both. How many like neither sport?

A. 30
B. 60
C. 90
D. 120

Solution

Using inclusion-exclusion, the number of people who like at least one sport is 90 + 60 - 30 = 120. Therefore, those who like neither is 150 - 120 = 30.

Correct Answer: A — 30

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Q. In a survey of 150 people, 90 like dogs, 60 like cats, and 30 like both. How many people like only dogs?

A. 60
B. 30
C. 90
D. 150

Solution

The number of people who like only dogs is 90 - 30 = 60.

Correct Answer: A — 60

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Q. In a survey of 150 people, 90 like dogs, 60 like cats, and 30 like both. How many people like only cats?

A. 30
B. 60
C. 90
D. 150

Solution

The number of people who like only cats is 60 - 30 = 30.

Correct Answer: A — 30

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Q. In a survey of 150 people, 90 like dogs, 70 like cats, and 40 like both. How many like only dogs?

A. 50
B. 40
C. 30
D. 20

Solution

The number of people who like only dogs is 90 - 40 = 50.

Correct Answer: A — 50

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Q. In a survey of 150 people, 90 like reading fiction, 60 like reading non-fiction, and 30 like both. How many like only fiction?

A. 60
B. 30
C. 90
D. 150

Solution

The number of people who like only fiction is 90 - 30 = 60.

Correct Answer: A — 60

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Q. In a survey of 150 people, 90 like soccer, 60 like basketball, and 30 like both. How many people like neither sport?

A. 30
B. 60
C. 90
D. 120

Solution

The number of people who like neither sport is total - (|Soccer| + |Basketball| - |Both|) = 150 - (90 + 60 - 30) = 30.

Correct Answer: A — 30

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Q. In a survey of 150 people, 90 like sports, 60 like music, and 30 like both. How many people like at least one of the activities?

A. 120
B. 150
C. 90
D. 60

Solution

Using inclusion-exclusion, the total is 90 + 60 - 30 = 120.

Correct Answer: A — 120

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Q. In a survey of 150 people, 90 like tea, 60 like coffee, and 30 like both. How many people like neither tea nor coffee?

A. 30
B. 60
C. 90
D. 120

Solution

Using inclusion-exclusion, the number of people who like either tea or coffee is 90 + 60 - 30 = 120. Therefore, those who like neither is 150 - 120 = 30.

Correct Answer: B — 60

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Q. In a survey of 150 people, 90 like tea, 70 like coffee, and 40 like both. How many people like only coffee?

A. 30
B. 40
C. 50
D. 60

Solution

The number of people who like only coffee is |Coffee| - |Both| = 70 - 40 = 30.

Correct Answer: B — 40

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Q. In a survey, 45 people like action movies, 30 like drama, and 15 like both. How many people like only action movies?

A. 30
B. 15
C. 45
D. 60

Solution

The number of people who like only action movies is 45 - 15 = 30.

Correct Answer: A — 30

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Q. In a survey, 45 people like dogs, 30 like cats, and 15 like both. How many people like only cats?

A. 15
B. 30
C. 45
D. 0

Solution

The number of people who like only cats is 30 - 15 = 15.

Correct Answer: B — 30

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Q. In a survey, 60% of respondents like chocolate, 40% like vanilla, and 20% like both. What percentage like only chocolate?

A. 40%
B. 20%
C. 60%
D. 30%

Solution

The percentage of respondents who like only chocolate is 60% - 20% = 40%.

Correct Answer: A — 40%

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Q. In a survey, 60% of respondents like chocolate, 40% like vanilla, and 25% like both. What percentage like only chocolate?

A. 35%
B. 25%
C. 15%
D. 45%

Solution

The percentage of respondents who like only chocolate is 60% - 25% = 35%.

Correct Answer: A — 35%

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Q. In a survey, 60% of respondents like reading fiction, 40% like reading non-fiction, and 20% like both. What percentage of respondents like only fiction?

A. 40%
B. 20%
C. 60%
D. 30%

Solution

The percentage of respondents who like only fiction is |Fiction| - |Both| = 60% - 20% = 40%.

Correct Answer: A — 40%

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Q. In a survey, 70% of respondents like chocolate, 50% like vanilla, and 20% like both. What percentage of respondents like only chocolate?

A. 50%
B. 30%
C. 40%
D. 20%

Solution

The percentage of respondents who like only chocolate is |Chocolate| - |Both| = 70% - 20% = 50%.

Correct Answer: A — 50%

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Q. In a survey, 90 people like apples, 70 like bananas, and 30 like both. How many people like only bananas?

A. 40
B. 30
C. 50
D. 60

Solution

The number of people who like only bananas is 70 - 30 = 40.

Correct Answer: A — 40

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Q. In a survey, 90 people like dogs, 70 like cats, and 30 like both. How many people like only cats?

A. 40
B. 30
C. 70
D. 60

Solution

The number of people who like only cats is 70 - 30 = 40.

Correct Answer: A — 40

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Venn Diagram Sets

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?