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UPSC 2010: In a tournament 14 teams play league matches. If each team plays against every other team once only then how many matches are played?
(a)105
(b)91
(c)85
(d)78
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Not attemptedCorrect Answer: (b) 91
In a single round-robin league each pair of teams meets once; the number of matches is therefore the number of combinations of 14 teams taken two at a time: C(14, 2) = 14 × 13 ⁄ 2 = 91. Hence 91 matches are played.
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Frequently Asked Questions
What is the correct answer to this UPSC 2010 Science & Technology question?▼
The correct answer is option (b): 91. Watch the detailed video explanation in our Sherlocking Prelims course on UnlockIAS.
Which year was this Quantitative Aptitude question asked in UPSC Prelims?▼
This question was asked in UPSC CSE Prelims 2010, GS Paper 1, as Question 9. It falls under Science & Technology > Quantitative Aptitude.
What is the difficulty level of this UPSC question?▼
This question is rated "easy". It tests basic recall and most well-prepared aspirants should answer it correctly.
How many UPSC Prelims questions have been asked from Quantitative Aptitude?▼
UPSC has asked 178 questions from Quantitative Aptitude (under Science & Technology) across multiple years. Visit the topic page to see the full list and year-wise trends.