Multiple choice

16 men and 32 women can complete a work in 12 days. 28 men and 24 women can complete the same work in 9 days. Find the ratio of efficiency of 3 men and 5 women. 16 आदमी और 32 महिलाएँ एक कार्य को 12 दिन में पूरा कर सकते हैं। 28 आदमी और 24 महिलाएँ उसी कार्य को 9 दिनों में पूरा कर सकती हैं। 3 आदमियों और 5 महिलाओं की क्षमता का अनुपात ज्ञात कीजिए।

  1. 14 : 5

  2. 5 : 14

  3. 3 : 14

  4. 14 : 3

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let total work = LCM(12,9) = 36 units. 16M + 32W complete in 12 days, so their daily work = 36/12 = 3 units. Similarly, 28M + 24W do 36/9 = 4 units daily. Solving: 16M + 32W = 3, 28M + 24W = 4. This gives 1M = 1/24, 1W = 1/96. Efficiency of 3M = 3/24 = 1/8, efficiency of 5W = 5/96. Ratio = (1/8):(5/96) = 12:5 = 2.4:1 = 14:3.