The following question is accompanied by two statements (I), (II). You have to determine which statements(s) is/are sufficient/necessary to answer the questions. In how many days will one man and 2 women complete a work? Statement I: 5 men complete the same work in 8 days. Statement II: 4 women complete the same work in 12 days. Correct Answer Both statement I and statement II together is needed to answer the question. Given: From statement I, Time taken by 5 men to complete the work = 8 days From statement II, Time taken by 4 women to complete the same work = 12 days Formula Used: Efficiency = (Total work)/(Total time taken) Calculation: From statement I and II together, Let the efficiency of one man and one woman be m and w respectively. Total work by 5 men = 5 × m × 8 ⇒ 40m Total work by 4 women = 4 × m × 12 ⇒ 48w Since both work will be same. Then, 40m = 48w ⇒ m/w = 6/5 The efficiency of man = 6 The efficiency of woman = 5 Total work by 5 men = 40 × 6 ⇒ 240 Efficiency of one man and 2 women = 1 × 6 + 2 × 5 ⇒ 16 Time taken by one man and 2 women together to complete the same work = 240/16 ⇒ 15 days ∴ Both statement I and statement II together is needed to answer the question.