A एक कार्य को 4 दिन में और B, 12 दिन में कर सकता है। यदि वे इस पर 2 दिनों तक एक साथ कार्य करते हैं, तो जो कार्य बचेगा उसका अंश क्या है?

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SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 2)
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  1. 2/3
  2. 2/5
  3. 1/3
  4. 1/5

Answer (Detailed Solution Below)

Option 3 : 1/3
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दिया गया है:

A एक कार्य को 4 दिनों में पूरा कर सकता है

B एक कार्य को 12 दिनों में पूरा कर सकता है

उन्होंने 2 दिनों तक एक साथ कार्य किया।

प्रयुक्त सूत्र:

किया गया कार्य = समय × दक्षता

गणना:

कुल कार्य = (4,12) का लघुत्तम समापवर्त्य = 12

A की दक्षता = 3

B की दक्षता = 1

2 दिन में किया गया कार्य = 2 × (3 + 1) = 8

कार्य का अंश जो अभी भी शेष है = 4/12 = 1/3

∴ सही उत्तर 1/3 है।

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