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UPSC 2000: In an examination, every candidate took Physics or Mathematics or both. 65.8% took Physics and 59.2% took Mathematics. The total number of candidates was 2000. How many candidates took both Physics and Mathematics?
(a)750
(b)500
(c)250
(d)125
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Not attemptedCorrect Answer: (b) 500
The correct answer is (b) 500. Using the inclusion-exclusion principle: P(Physics or Maths) = P(Physics) + P(Maths) - P(Both). Since every candidate took at least one: 100% = 65.8% + 59.2% - P(Both). P(Both) = 25%. 25% of 2000 = 500.
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Frequently Asked Questions
What is the correct answer to this UPSC 2000 Science & Technology question?▼
The correct answer is option (b): 500. 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 2000, GS Paper 1, as Question 141. It falls under Science & Technology > Quantitative Aptitude.
What is the difficulty level of this UPSC question?▼
This question is rated "medium". It is a challenging question that demands deep subject knowledge and analytical thinking.
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.