एक प्रश्न दिया गया है जिसके बाद दो कथन I और II दिए गए हैं। प्रश्न और कथनों पर विचार कीजिए।
एक व्यक्ति ₹ 50 में तीन वस्तुएँ p, q और r खरीदता है। वस्तु q की कीमत ₹ 16 है जो न्यूनतम है।
- प्रश्न: वस्तु p की कीमत क्या है?
- कथन–I: p की कीमत, r की कीमत से अधिक नहीं है।
- कथन–II: r की कीमत, p की कीमत से अधिक नहीं है।
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 person buys three articles p, q and r for ₹50. The price of the article q is ₹16 which is the least.
Question. What is the price of the article p?
Statement–I. The cost of p is not more than that of r.
Statement–II. The cost of r is not more than that of p.
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
p + r = 50 − 16 = 34, with both more than 16. Statement I gives p ≤ 17 and Statement II gives p ≥ 17, so together p = ₹17; either alone leaves a range, since prices need not be whole rupees.
- p + r = 50 − 16 = 34, and p and r are both more than 16 because q is the least.
- Statement I (p ≤ r): p ≤ 17, so 16 < p ≤ 17; p could be ₹16.50 or ₹17. Not sufficient.
- Statement II (r ≤ p): p ≥ 17, so 17 ≤ p < 18. Not sufficient.
- Together, p ≤ r and r ≤ p give p = r = 34 ÷ 2 = ₹17.
- Note: only if prices had to be whole rupees would each statement alone give ₹17; the question does not say so.
Remember · In data sufficiency, don’t assume whole numbers unless told. ‘Not more than’ in both directions means equality.
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). ·