4 पुरुष और 6 महिलाएँ एक कार्य को 8 दिनों में पूरा कर सकते हैं, जबकि 3 पुरुष और 7 महिलाएँ इसे 10 दिनों में पूरा कर सकते हैं। 25 महिलाएँ इसे कितने दिनों में पूरा करेंगी?

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SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 1)
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  1. 20
  2. 16
  3. 25
  4. 18

Answer (Detailed Solution Below)

Option 2 : 16
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दिया गया​ है:

(4 पुरुष + 6 महिलाएँ) एक कार्य = 8 दिन में पूरा कर सकते हैं। 

(3 पुरुष + 7 महिलाएं) एक कार्य = 10 दिन में पूरा कर सकते हैं। 

प्रयुक्त सूत्र:

कुल कार्य = दक्षता × समय

गणना:

⇒(4 पुरुष + 6 महिलाएँ) × 8 = (3 पुरुष + 7 महिलाएँ) × 10

⇒​ 2 पुरुष = 22 महिलाएँ

पुरुष/महिला = 11/1

कुल कार्य = (3 पुरुष + 7 महिलाएँ) × 10

⇒ {(3 × 11) + (7 × 1)} × 10 

⇒ (33 + 7) × 10 = 400

25 महिलाओं द्वारा कार्य पूरा करने में लिया गया समय = 400/25 = 16 दिन

∴ सही उत्तर 16 दिन है।

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