Multiple choice

Find the correct relationship between the given quantities: दी गई मात्राओ में सही संबंध ज्ञात कीजिये: Quantity I = Ram alone can finish a work in 60 days. In how many days Ram and Shyam together will finish the work if ratio of their efficiency is 3:2 respectively? Quantity II = In how many days Ram and Shyam together will finish the work if Ram can finish 1/5th of work in 12 days and Shyam can finish 1/3rd of work in 30 days?. मात्रा I = राम अकेले 60 दिनों में एक काम पूरा कर सकते हैं। राम और श्याम मिलकर कितने दिनों में काम खत्म करेंगे अगर उनकी दक्षता का अनुपात क्रमशः 3: 2 हो? मात्रा II = कितने दिनों में राम और श्याम एक साथ काम पूरा करेंगे अगर राम 12 दिनों में 1/5 वां काम पूरा कर सकते हैं और श्याम 30 दिनों में 1 / 3rd काम खत्म कर सकते हैं?

  1. Quantity II > Quantity मात्रा II > मात्रा I

  2. Quantity I ≥ Quantity II मात्रा I ≥ मात्रा II

  3. Quantity I > Quantity मात्रा I > मात्रा II

  4. Quantity I ≤ Quantity II मात्रा I ≤ मात्रा II

  5. Quantity I = Quantity II or relationship cannot be established मात्रा I = मात्रा II या कोई संबंध स्थापित नहीं किया जा सकता
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E Correct answer
Explanation

Quantity I: Ram takes 60 days alone. With efficiency ratio 3:2 (Ram:Shyam), combined efficiency = 3+2 = 5 units. Time = Total work (60*3 = 180 units) / 5 = 36 days. Quantity II: Ram does 1/5 work in 12 days, so full work in 60 days. Shyam does 1/3 work in 30 days, so full work in 90 days. Combined rate: 1/60 + 1/90 = 5/180 = 1/36, so 36 days. Both quantities equal 36 days.

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