एक प्रश्न दिया गया है जिसके बाद दो कथन I और II दिए गए हैं। प्रश्न और कथनों पर विचार कीजिए।
P, Q, R और S एक परीक्षा में भाग लेते हैं।
- प्रश्न: क्या P ने, Q से अधिक अंक प्राप्त किए?
- कथन–I: P और Q द्वारा प्राप्त किए गए अंकों का योगफल, R और S द्वारा प्राप्त किए गए अंकों के योगफल के बराबर है।
- कथन–II: P और S द्वारा प्राप्त किए गए अंकों का योगफल, Q और R द्वारा प्राप्त किए गए अंकों के योगफल से अधिक 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.
P, Q, R and S appeared in a test.
Question. Has P scored more marks than Q?
Statement–I. The sum of the marks scored by P and Q is equal to the sum of the marks scored by R and S.
Statement–II. The sum of the marks scored by P and S is more than the sum of the marks scored by Q and R.
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: (d) प्रश्न का उत्तर, दोनों कथनों का एक-साथ प्रयोग कर भी नहीं दिया जा सकता
Combining the statements gives only P > R and S > Q; nothing compares P with Q directly. Examples with P above Q and with P below Q both satisfy the data.
- Statement I alone: P + Q = R + S says nothing about P versus Q.
- Statement II alone: P + S > Q + R also depends on S and R, so it is not sufficient.
- Together: putting R = P + Q − S into Statement II gives 2S > 2Q, i.e. S > Q; similarly P > R. Neither compares P with Q.
- Example: P = 5, Q = 1, R = 4, S = 2 (P > Q) and P = 5, Q = 6, R = 4, S = 7 (P < Q) both satisfy I and II. So the question cannot be answered.
Remember · Combine the equations to see what they really fix, then build two examples that give opposite answers.
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). ·