निम्नलिखित कथनों पर विचार कीजिए :
- I.यदि A ≤ B > C < D > E > F ≥ G = H; तो B सदा E से बड़ा है ।
- II.यदि P > Q = R ≥ S = T ≤ U = V > W; तो S सदा V से कम है ।
उपर्युक्त कथनों में से कौन-सा/से सही है/हैं ?
Read this question in English
Consider the following statements:
I. If A ≤ B > C < D > E > F ≥ G = H; then B is always greater than E.
II. If P > Q = R ≥ S = T ≤ U = V > W; then S is always less than V.
Which of the statements given above is/are correct?
(a) I only · (b) II only · (c) Both I and II · (d) Neither I nor II
उत्तर और व्याख्या · explanation in English
Answer: (d) न तो I और न ही II
A comparison is certain only when every sign between the two letters points the same way. B and E are separated by a change of direction at C, and S = T ≤ U = V allows S to equal V, so neither conclusion is always true.
- Statement I: between B and E the chain reads B > C < D > E. The direction changes at C, so B and E cannot be compared.
- Example: B = 5, C = 1, D = 10, E = 8 fits the chain, and here B is less than E. So I is not always true.
- Statement II: between S and V the chain reads S = T ≤ U = V, which gives only S ≤ V.
- If T = U, then S = V, so S is not always less than V. II is also not always true.
- Neither statement is correct.
- ✗ I B > C and D > E, but C < D breaks the chain; B can be smaller than, equal to or larger than E.
- ✗ II S = T ≤ U = V gives S ≤ V, so S may equal V; 'always less than' does not follow.
Remember · Trace the signs between the two letters: a change of direction means no conclusion; any ≤ or ≥ rules out strict < or >.
Question and answer: UPSC's official GS Paper II (2025, Series A) — paper ↗ · answer key ↗. Explanation: Minimalist IAS, checked 30 Sept 2026 (how we verify). ·