Correct option is A
The correct synonym of the given word is
(a) Decay.
Entropy: A gradual decline into disorder or chaos; randomness and disorganization. (अव्यवस्था की ओर झुकाव)
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Example: Without regular cleaning, the house fell into entropy.
Decay: The process of deterioration or decline. (क्षय या सड़न की प्रक्रिया)
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Example: The old building showed signs of decay.
Synonyms: disorder, degradation, breakdown, collapse
Antonyms: order, organization, structure, harmony
Meanings of the other options:
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Efficiency – The ability to accomplish something with minimal waste (कुशलता)
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Futility – Pointlessness or uselessness (व्यर्थता)
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Ineptness – Lack of skill or competence (अकुशलता)