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UPSC 1999: In a town 25% families own a phone and 15% own a car. 65% families own neither a phone nor a car. 2000 families own both a car and a phone. Consider the following statements in this regard: I. 10% families own both a car and a phone. II. 35% families own either a car or a phone. III. 40,000 families live in the town. Which of the above statements are correct?
(a)I and II
(b)I and III
(c)II and III
(d)I, II and III
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Not attemptedCorrect Answer: (c) II and III
Let the total number of families be N. Inclusion–exclusion gives 25 + 15 − x = 35 ⇒ x = 5 %. Since 5 % = 2000 families, N = 2000/0.05 = 40 000. Thus statement II (35 %) and III (40 000) are correct, while I (10 %) is wrong. Hence option (c). Official answer key: 135 → C. ([scribd.com](https://www.scribd.com/document/465263088/1999-upsc-prelims?utm_source=openai))
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Frequently Asked Questions
What is the correct answer to this UPSC 1999 Science & Technology question?▼
The correct answer is option (c): II and III. 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 1999, GS Paper 1, as Question 135. 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.