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If 17 women and 24 men can do a piece of work in 5 days and 12 women and 23 men can do it in 6 days, then which one of the following is correct ?  

This question was previously asked in
CDS Elementary Mathematics 16 April 2023 Official Paper
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  1. Efficiency of 13 women = Efficiency of 18 men 
  2. Efficiency of 11 women = Efficiency of 16 men 
  3. Efficiency of 13 women = Efficiency of 17 men 
  4. Efficiency of 11 women = Efficiency of 15 men 

Answer (Detailed Solution Below)

Option 1 : Efficiency of 13 women = Efficiency of 18 men 
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Detailed Solution

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Calculation:

Let's say the capacity of a man is m and the capacity of a woman is w. Then,

we can set up the following equations:

5(17w + 24m) = 6(12w + 23m)

85w + 120m = 72w + 138m

13w = 18m

∴ Efficiency of 13 women = Efficiency of 18 men 

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