निम्न में कौन-सी सबसे बड़ी संख्या है?
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What is the largest number among the following?
(a) (1/2)⁻⁶ · (b) (1/4)⁻³ · (c) (1/3)⁻⁴ · (d) (1/6)⁻²
उत्तर और व्याख्या · explanation in English
Answer: (c) (1/3)⁻⁴
A negative power of a fraction flips it: (1/a)⁻ⁿ = aⁿ. The four values are 2⁶ = 64, 4³ = 64, 3⁴ = 81 and 6² = 36, so (1/3)⁻⁴ is the largest.
- (1/2)⁻⁶ = 2⁶ = 64.
- (1/4)⁻³ = 4³ = 64.
- (1/3)⁻⁴ = 3⁴ = 81.
- (1/6)⁻² = 6² = 36.
- The largest is 81, i.e. (1/3)⁻⁴.
Remember · (1/a) raised to −n equals aⁿ; rewrite every option this way before comparing.
Question and answer: UPSC's official GS Paper II (2020, Series A) — paper ↗ · answer key ↗. Explanation: Minimalist IAS, checked 30 Sept 2026 (how we verify). ·