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Question

# Twenty four men can complete a work in sixteen days. Thirty two women can complete the same work in twenty four days. Sixteen men and sixteen women started worked for 12 days. How many more men are to be added to complete the remaining work in 2 days ?

A
16
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B
24
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C
36
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D
48
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Solution

## The correct option is B 241 man's 1 days' work = 124×16 ∴ 16 men's 1 days' work =1624×16=124 1 woman's 1 days' work = 132×2416 women's 1 days' work = 1632×24=148 ∴ 12 days' work of (16 men + 16 women) =12(124+148)=12(2+148)=12×348=34Remaining work = 1−34=14 Now (16 men's + 16 women's) 2 days' work = 2(124+148)=2×116=18∴ Remaining work =14−18=18 ⇒1384 work will be done in 2 days by (384×18×12)=24 men

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