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UPSC 2009: In an examination, there are three subjects A, B and C. A student has to pass in each subject. 20% students failed in A, 22% students failed in B and 16% failed in C. The total number of students passing the whole examination lies between
(a)42% and 84%
(b)42% and 78%
(c)58% and 78%
(d)58% and 84%
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Not attemptedCorrect Answer: (b) 42% and 78%
Minimum pass % occurs when the three groups of failures are disjoint: 100 − (20 + 22 + 16) = 42 %. Maximum pass % occurs when the same students appear in all three failure groups; at least 22 % (the B-failures) must then fail, so 78 % can pass. Thus the range is 42 %–78 %. ([testbook.com](https://testbook.com/question-answer/in-an-examination-there-are-three-subjects-a--5f5b3b595abdbf6a5535c34b?utm_source=openai))
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Frequently Asked Questions
What is the correct answer to this UPSC 2009 Science & Technology question?▼
The correct answer is option (b): 42% and 78%. 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 2009, GS Paper 1, as Question 102. It falls under Science & Technology > Quantitative Aptitude.
What is the difficulty level of this UPSC question?▼
This question is rated "moderate". It requires sound conceptual understanding of the topic.
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.