8 पुरुषों द्वारा किया गया कार्य 10 दिनों में पूरा हो जाता है। वही कार्य 10 महिलाओं द्वारा 12 दिनों में पूरा किया जा सकता है। यदि 4 पुरुषों और 4 महिलाओं को समान कार्य करने के लिए नियोजित किया जाए तो इसे पूरा करने में कितने दिन लगेंगे?

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SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 3)
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  1. 12
  2. 6
  3. 10
  4. 8

Answer (Detailed Solution Below)

Option 1 : 12
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Detailed Solution

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दिया गया :

8 पुरुषों द्वारा किया गया कार्य 10 दिनों में पूरा हो जाता है।

वही कार्य 10 महिलाओं द्वारा 12 दिनों में पूरा किया जा सकता है।

प्रयुक्त सूत्र:

M1H1D1/W1 = M2H2D2/W2

गणना :

⇒ 8M × 10 = 10W × 12

⇒ 80M = 120W

⇒ एम/डब्ल्यू = 120/80 = 3/2

कुल कार्य = 8 × 3 × 10 = 240

अब, 240 = (4M + 4W) × समय

⇒ समय = 240/(4 × 3 + 4 × 2)

⇒ समय = 240/20 = 12 दिन

∴ सही उत्तर 12 दिन है।

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