Two sports, one overlap — Aptitude Question
Two sports, one overlap: In a group, 30 play cricket, 25 play football and 20 play both. Answer and worked solution on CodeKairo.
- Topic: Mathematical Reasoning
- Section: Logical Reasoning
- Difficulty: Easy
- Time target: 50 seconds
Question
In a group, 30 play cricket, 25 play football and 20 play both. How many play at least one of the two?
Options
- 30
- 35
- 45
- 55
Show the answer and the worked solution
Correct answer: B. 35
Worked solution
- At least one = 30 + 25 − 20 = 35.
Answer: 35.
The idea
The union of two sets is the sum minus the intersection. Adding without subtracting counts the overlap twice.
Shortcut. The 20 who play both are already inside the 30 cricketers, so only 25 − 20 = 5 footballers are new: 30 + 5 = 35.
Common trap. "55" — adding 30 + 25 and counting the 20 who play both sports twice.