एक प्रश्न दिया गया है जिसके बाद दो कथन I और II दिए गए हैं। प्रश्न और कथनों पर विचार कीजिए।
एक निश्चित धनराशि X, Y और Z के बीच बाँटी गई।
- प्रश्न: किसे सबसे कम धनराशि प्राप्त हुई?
- कथन–I: Y और Z को मिलकर जो धनराशि मिली X को उसका 4/5 हिस्सा प्राप्त हुआ।
- कथन–II: X और Z को मिलकर जो धनराशि मिली Y को उसका 2/7 हिस्सा प्राप्त हुआ।
उपर्युक्त प्रश्न और कथनों के संबंध में, निम्नलिखित में से कौन-सा सही है?
Read this question in English
A Question is given followed by two Statements I and II. Consider the Question and the Statements.
A certain amount was distributed among X, Y and Z.
Question. Who received the least amount?
Statement–I. X received 4/5 of what Y and Z together received.
Statement–II. Y received 2/7 of what X and Z together received.
Which one of the following is correct in respect of the above Question and the Statements?
(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone · (b) The Question can be answered by using either Statement alone · (c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone · (d) The Question cannot be answered even by using both the Statements together
उत्तर और व्याख्या · explanation in English
Answer: (c) प्रश्न का उत्तर, दोनों कथनों का एक-साथ प्रयोग कर दिया जा सकता है, किन्तु अकेले किसी भी एक कथन का प्रयोग कर नहीं दिया जा सकता है
Statement I makes X’s share 4/9 of the total and Statement II makes Y’s share 2/9; together Z gets 3/9, so Y received the least. Either statement alone leaves the split between the other two open.
- Statement I: X = (4/5)(Y + Z), so X : (Y + Z) = 4 : 5 and X = 4/9 of the total. Y and Z share 5/9 in an unknown way, so it is not sufficient.
- Statement II: Y = (2/7)(X + Z), so Y = 2/9 of the total. X and Z share 7/9 in an unknown way (X could even be less than Y), so it is not sufficient.
- Together: X = 4/9 and Y = 2/9, so Z = 1 − 6/9 = 3/9.
- Y received the least.
Remember · ‘A gets p/q of what the others get’ means A’s share is p/(p + q) of the total.
Question and answer: UPSC's official GS Paper II (2024, Series A) — paper ↗ · answer key ↗. Explanation: Minimalist IAS, checked 30 Sept 2026 (how we verify). ·