The following questions are accompanied by three statements (I), (II), and (III). You have to determine which statements(s) is/are sufficient/necessary to answer the questions. If a man is twice as efficient as a woman. Then in how many days 6 men and 4 women can complete the work?  Statement I: 12 men complete the same work in 10 days.  Statement II: 8 women complete the same work in 30 days. Statement III: Efficiency of one men = efficiency of two child

The following questions are accompanied by three statements (I), (II), and (III). You have to determine which statements(s) is/are sufficient/necessary to answer the questions. If a man is twice as efficient as a woman. Then in how many days 6 men and 4 women can complete the work?  Statement I: 12 men complete the same work in 10 days.  Statement II: 8 women complete the same work in 30 days. Statement III: Efficiency of one men = efficiency of two child Correct Answer Either I or II

Let, a man’s efficiency = 2x/day and a woman’s efficiency = x/day 

From statement I:

12 men complete the work in 10 days. 

Let, 6 men and 4 women can complete the work in = a days 

According to problem, 

⇒ 12 × 2x ×10 = a(6 × 2x + 4 × x) 

⇒ 240x = a × 16x 

⇒ a = 240/16 

⇒ a = 15 

∴ 6 men and 4 women can complete the work in = 15 days 

From statement II:

8 women complete the same work in 30 days. 

Let, 6 men and 4 women can complete the work in = b days 

According to problem, 

⇒ 8 × x × 30 = b(6 × 2x + 4x) 

⇒ 240x = b × 16x 

⇒ b = 240/16 

⇒ b = 15 days 

∴ 6 men and 4 women can complete the work in = 15 days 

∴ Either statement I or II alone is sufficient.

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