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.