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Mathematics

12 men can make a certain number of screws in 30 days. The number of screws, of the same type will be made by 24 men in:

  1. 15 days

  2. 30 days

  3. 60 days

  4. none of these

Direct & Inverse Variations

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Answer

Let 24 men take x days to make the same number of screws.

MenDays
1230
24x

Since it is a case of inverse variation,

12×30=24×x360=24xx=36024x=15\therefore 12 \times 30 = 24 \times x\\[1em] \Rightarrow 360 = 24x\\[1em] \Rightarrow x = \dfrac{360}{24}\\[1em] \Rightarrow x = 15

Hence, option 1 is the correct option.

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