प्रतिमा और दीक्षा एक टाइपिंग कार्य को क्रमशः 10 घंटे और 15 घंटे में पूरा कर सकती हैं। 4 घंटे अकेले टाइप करने के बाद प्रतिमा कार्य छोड़ देती है। दीक्षा शेष टाइपिंग कार्य कितने घंटों में पूरा करेगी?

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SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 3)
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  1. 8
  2. 10
  3. 9
  4. 7

Answer (Detailed Solution Below)

Option 3 : 9
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Detailed Solution

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दिया गया है:

प्रतिमा द्वारा अकेले टाइपिंग कार्य पूरा करने में लिया गया समय = 10 घंटे

दीक्षा द्वारा अकेले टाइपिंग कार्य पूरा करने में लिया गया समय = 15 घंटे

प्रयुक्त सूत्र:

कुल कार्य = दक्षता  x  समय

गणना:

दक्षता व्यक्ति समय कुल कार्य
3 प्रतिमा 10 30
2 दीक्षा 15

प्रश्न के अनुसार:

⇒ प्रतिमा × 4 + दीक्षा × H = 30

⇒ 3 × 4 + 2 × H = 30

⇒ 2 × H = 30 - 12

⇒ H = 18/2 = 9 घंटे

∴ सही उत्तर 9 घंटे है।

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