एक शहर की वयस्क समष्टि में 40% पुरुष और 30% महिलाएँ विवाहित हैं। विवाहित वयस्क समष्टि का प्रतिशत क्या है, यदि कोई भी पुरुष एक से अधिक महिला से विवाह नहीं करता है और कोई भी महिला एक से अधिक पुरुष से विवाह नहीं करती है; और इनमें कोई विधवा और विधुर नहीं है?
Read this question in English
In adult population of a city, 40% men and 30% women are married. What is the percentage of married adult population if no man marries more than one woman and no woman marries more than one man; and there are no widows and widowers?
(a) 33 1/7% · (b) 34% · (c) 34 2/7% · (d) 35%
उत्तर और व्याख्या · explanation in English
Answer: (c) 34 2/7%
Every married man has exactly one wife in the city, so married men equal married women: 40% of men = 30% of women, which makes men : women = 3 : 4. Then 1·2 + 1·2 = 2·4 of every 7 adults are married, i.e. 34 2/7%.
- Married men = married women, so 0·4M = 0·3W, giving M : W = 3 : 4.
- Take 3 men and 4 women: married men = 0·4 × 3 = 1·2, married women = 0·3 × 4 = 1·2.
- Married adults = 2·4 out of 7 = 24/70 = 12/35.
- 12/35 × 100 = 240/7 = 34 2/7%.
Remember · In marriage-count problems, equate married men and married women first; that fixes the ratio of the two groups.
Question and answer: UPSC's official GS Paper II (2020, Series A) — paper ↗ · answer key ↗. Explanation: Minimalist IAS, checked 30 Sept 2026 (how we verify). ·