In a survey, 52 people travel by bus, 47 by metro, and 23 by both. How many people travel only by metro?
Answer and explanation
Correct answer: 24
The number of people who travel only by metro is found by removing those who use both transport modes from the total metro users: 47 − 23 = 24. Therefore, option A is correct. Option B, 29, is obtained by subtracting the overlap from the bus total and represents only-bus users. Option D adds both totals without removing the overlap, so it double-counts 23 people.
Frequently asked questions
What is the correct answer to this question?
24
Why is this the correct answer?
The number of people who travel only by metro is found by removing those who use both transport modes from the total metro users: 47 − 23 = 24. Therefore, option A is correct. Option B, 29, is obtained by subtracting the overlap from the bus total and represents only-bus users. Option D adds both totals without removing the overlap, so it double-counts 23 people.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
