A और B एक कार्य को 12 दिनों में पूरा कर सकते हैं। हालाँकि, A को कार्य पूरा होने से कुछ दिन पहले छोड़ना पड़ा और इसलिए कार्य को पूरा करने में कुल 16 दिन लगे। यदि A अकेले कार्य को 21 दिनों में पूरा कर सकता है, तो कार्य खत्म होने से कितने दिन पहले A ने कार्य छोड़ दिया?

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RRB ALP Previous Paper 4 (Held On: 10 Aug 2018 Shift 2)
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  1. 7
  2. 5
  3. 9
  4. 3

Answer (Detailed Solution Below)

Option 1 : 7
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हमें दिया गया है कि A अकेला यह कार्य 21 दिनों में पूरा कर सकता है।

A और B मिलकर उसी कार्य को 12 दिनों में पूरा कर सकते हैं।

⇒ कुल कार्य = (12, 21) का लघुत्तम समापवर्त्य = 84

⇒ A का एक दिन का कार्य = 4

⇒ (A + B) का एक दिन का कार्य = 7

⇒ B का एक दिन का कार्य = 3

माना कि A ने x दिन कार्य किया व B ने 16 दिन कार्य किया

⇒ 4x + 3 × 16 = 84

⇒ x = 9 दिन

∴ A कार्य छोड़कर (16 - 9 =) 7 दिन पहले गया था।
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