In a school, 60% students play cricket. A student who does not play cricket, plays football. Every football player has got a two-wheeler. Which of the following conclusions cannot be drawn from the above data ? 1. 60% of the students do not have two-wheelers. 2. No cricketer has a two-wheeler. 3. Cricket players do not play football. Select the correct answer using the code given below :
- (a) 1 and 2 only
- (b) 2 and 3 only
- (c) 1 and 3 only
- (d) 1, 2 and 3 ✓ UPSC's answer
Why the answer is (d)
• 60% of students play cricket; the students who do not play cricket (40%) play football, and every football player has a two-wheeler.
• Conclusion 1 cannot be drawn: cricketers may also own two-wheelers, so we cannot say that 60% do not have one.
• Conclusion 2 cannot be drawn: nothing in the data stops a cricketer from owning a two-wheeler.
• Conclusion 3 cannot be drawn: the data says non-cricketers play football, but it does not say that cricketers do not.
• None of the three conclusions follows, so option (d).
Why the other options are wrong
- (a) 1 and 2 only
- Conclusion 3 also cannot be drawn, so the set is incomplete.
- (b) 2 and 3 only
- Conclusion 1 also cannot be drawn, so the set is incomplete.
- (c) 1 and 3 only
- Conclusion 2 also cannot be drawn, so the set is incomplete.
Asked in the CSAT Paper II of the UPSC Civil Services Preliminary Examination 2019, held on 2 June 2019. Question and answer key: Union Public Service Commission. Explanation: UPSC Answer Check.