At a fair, 120 people attended, 70 visited the rides, 52 visited the game stalls, and 30 visited both. How many people visited at least one of these two places?
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Answer and explanation
Correct answer: 92
Let R be the set of people who visited the rides and G the set who visited the game stalls. The union counts everyone who visited at least one place. Since the 30 people who visited both places are included in both totals, they must be subtracted once: n(R ∪ G) = 70 + 52 − 30 = 92. Thus option A is correct.
Frequently asked questions
What is the correct answer to this question?
92
Why is this the correct answer?
Let R be the set of people who visited the rides and G the set who visited the game stalls. The union counts everyone who visited at least one place. Since the 30 people who visited both places are included in both totals, they must be subtracted once: n(R ∪ G) = 70 + 52 − 30 = 92. Thus option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
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