नीचे दिए गए प्रश्न और दो कथनों पर विचार कीजिए :
- प्रश्न: मनीषा की आयु क्या है?
- कथन–1: मनीषा अपनी माँ से 24 वर्ष छोटी है।
- कथन–2: 5 वर्ष बाद, मनीषा और उसकी माँ की आयु 3 : 5 के अनुपात में होगी।
निम्नलिखित में से कौन-सा एक उपर्युक्त प्रश्न और कथनों के बारे में सही है?
Read this question in English
Consider the Question and two Statements given below:
Question. What is the age of Manisha?
Statement–1. Manisha is 24 years younger than her mother.
Statement–2. 5 years later, the ages of Manisha and her mother will be in the ratio 3:5.
Which one of the following is correct in respect of the Question and the Statements?
(a) Statement–1 alone is sufficient to answer the Question · (b) Statement–2 alone is sufficient to answer the Question · (c) Both Statement–1 and Statement–2 are sufficient to answer the Question · (d) Both Statement–1 and Statement–2 are not sufficient to answer the Question
उत्तर और व्याख्या · explanation in English
Answer: (c) कथन–1 और कथन–2, दोनों, प्रश्न का उत्तर देने के लिए पर्याप्त हैं
Statement–1 gives the age gap and Statement–2 gives a future ratio; neither fixes Manisha’s age alone. Together they give (M + 5) : (M + 29) = 3 : 5, so Manisha is 31.
- Statement–1 alone gives only the age gap of 24 years. Not sufficient.
- Statement–2 alone gives a ratio but no actual ages. Not sufficient.
- Together: let Manisha be M years old, so her mother is M + 24. Then (M + 5)/(M + 29) = 3/5.
- 5M + 25 = 3M + 87, so 2M = 62 and M = 31.
- Check: in 5 years they will be 36 and 60, and 36 : 60 = 3 : 5.
Remember · Age data sufficiency: a gap alone or a ratio alone is never enough; a gap plus a ratio fixes both ages.
Question and answer: UPSC's official GS Paper II (2022, Series A) — paper ↗ · answer key ↗. Explanation: Minimalist IAS, checked 30 Sept 2026 (how we verify). ·