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Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. Dharmendra will complete the work in how many days if the ratio of efficiencies of Raghav, Dharmendra and Anmol is 5 ∶ 6 ∶ 10? I.Binod is 50% more efficient than Dharmendra. Binod, Dharmendra and Simran completed the work in 60/13 days. II. Simran, Raghav and Anmol completed the work in 180/39 days.

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. Dharmendra will complete the work in how many days if the ratio of efficiencies of Raghav, Dharmendra and Anmol is 5 ∶ 6 ∶ 10? I.Binod is 50% more efficient than Dharmendra. Binod, Dharmendra and Simran completed the work in 60/13 days. II. Simran, Raghav and Anmol completed the work in 180/39 days. Correct Answer If the data even in both the statements I and II together are not sufficient to answer the question.

The ratio of efficiencies of Raghav, Dharmendra and Anmol is 5 ∶ 6 ∶ 10

∴ Ratio of time taken by them to complete the job = 6 ∶ 5 ∶ 3      ----(LCM of 5,6 and 10 = 30)

Let time taken by Raghav, Dharmendra and Anmol be 6x, 5x and 3x days

Using statement I

Binod is 50% more efficient than Dharmendra

⇒ Time taken by Binod = 5x × (100/150) = 10x/3

⇒ Time taken by Simran be y 

Binod, Dharmendra and Simran completed the work in 60/13 days

⇒ (3/10x) + (1/5x) + (1/y) = 13/60

⇒ 1/y = (13/60) – (5/10x)      ----(i)

Statement I alone is not sufficient to answer the question 

Using statement II

Simran, Raghav and Anmol completed the work in 180/39 days

⇒ (1/y) + (1/6x) + (1/3x) = 39/180

⇒ 1/y = (39/180) – (3/6x)      ----(ii)

Statement II alone is not sufficient to answer the question 

Using statement I and statement II together 

Equating (i) and (ii)

⇒ (13/60) – (1/2x) = (39/180) – (1/2x)

∴ Value of x cannot be determined

∴ The data even in both statements I and II together are not sufficient to answer the question.

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