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. What is the ratio of coconut oil and milk in the final beaker? If contents from four vessels poured in it. I. Vessel B has 10 ml more capacity than vessel A and the ratio of coconut oil and milk in vessel B is 2 ∶ 7. Vessel C has coconut oil and milk in the ratio 2 ∶ 3 and contains 38 ml more capacity than Vessel D II. Vessel A has milk and coconut oil in the ratio 3 ∶ 5. Vessel C has 12 ml more coconut oil than vessel D.
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. What is the ratio of coconut oil and milk in the final beaker? If contents from four vessels poured in it. I. Vessel B has 10 ml more capacity than vessel A and the ratio of coconut oil and milk in vessel B is 2 ∶ 7. Vessel C has coconut oil and milk in the ratio 2 ∶ 3 and contains 38 ml more capacity than Vessel D II. Vessel A has milk and coconut oil in the ratio 3 ∶ 5. Vessel C has 12 ml more coconut oil than vessel D. Correct Answer If the data even in both the statements I and II together are not sufficient to answer the question.
Using statement I
Vessel B
Ratio of coconut oil and milk = 2 ∶ 7
⇒ Coconut oil in B = 2x
⇒ Milk in B = 7x
Total quantity = 2x + 7x = 9x
∴ Capacity of vessel A = 9x – 10
Vessel C
Ratio of coconut oil and milk = 2 ∶ 3
⇒ Coconut oil in C = 2y
⇒ Milk in C = 3y
Total capacity = 5y
Capacity of vessel D = 5y – 38
Statement I alone is not sufficient to answer the question
Using statement II
Vessel A has milk and coconut oil in the ratio 3 ∶ 5
∴ Coconut oil in vessel A = 5z
Milk in vessel A = 3z
Total capacity = 8z
Vessel C has 12 ml more coconut oil than vessel D
Statement II alone is not sufficient to answer the question
Using statement I and statement II together,
Capacity of vessel A = 9x – 10
⇒ 8z = 9x – 10
⇒ 9x – 8z = 10
Coconut oil in vessel C = 2y + 12
No data can be determined
∴ The data even in both the statements I and II together are not sufficient to answer the question.