P और Q मिलकर एक कार्य को 6 दिनों में पूरा कर सकते हैं। यदि P अकेले कार्य को 18 दिनों में पूरा कर सकता है, तो Q को कार्य समाप्त करने के लिए अभीष्ट दिनों की संख्या ज्ञात कीजिए

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SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 2)
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  1. 10 दिन
  2. 8 दिन
  3. 11 दिन
  4. 9 दिन

Answer (Detailed Solution Below)

Option 4 : 9 दिन
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SSC CGL Tier 1 2025 Full Test - 01
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दिया गया है

P और Q मिलकर एक कार्य को 6 दिनों में पूरा कर सकते हैं।

P अकेले कार्य को 18 दिनों में पूरा कर सकता है।

प्रयुक्त सूत्र:

कुल कार्य = मनुष्य × दक्षता

गणना

P का 1 दिन का कार्य = 1/18

(P + Q) का 1 दिन का कार्य = 1/6

Q का 1 दिन का कार्य = 1/6 – 1/18 = 1/9

अतः Q अकेले कार्य को 9 दिनों में पूरा कर सकता है

Shortcut Trick

Q = [(P + Q) × P] /(P + Q - P)

Q = (18 × 6)/(18 - 6)

Q = 9 दिन

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