Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. What is the ratio of the age of A to that B? I. Sum of the age of A, B and C is 15. C is the eldest whereas A is the youngest. Age of A is more than 3 years. No two of three are of the same age. II. Difference between the age of B and C is 2. Sum of age of A and C is 12 III. Different between age of A and D is equal to the different between the ages of D and C. Age of D is 30. Age of A > D > B.

Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. What is the ratio of the age of A to that B? I. Sum of the age of A, B and C is 15. C is the eldest whereas A is the youngest. Age of A is more than 3 years. No two of three are of the same age. II. Difference between the age of B and C is 2. Sum of age of A and C is 12 III. Different between age of A and D is equal to the different between the ages of D and C. Age of D is 30. Age of A > D > B. Correct Answer Only statement I alone is sufficient.

From I:

Let the age of A, B and C be a, b, and c respectively

a + b + c = 15

c > b > a and a > 3

If a = 4, b = 5 and c = 6, the sum of the age of A, B and C is 15. No other case is possible,

So, the ratio of age of A and B will be 4 : 5

Hence statement I alone is sufficient.

From II:

Let the age of A, B and C be a, b, and c respectively

b – c = 2 and a + c = 12

b – c + a + c = 2 + 12

⇒ b + a = 14

But we cannot determine the ratio of age of A and B.

Hence Statement II alone is not sufficient.

From III:

Let the age of A, B and D be a, b, and d respectively

a – d = d - c

⇒ a + c = 2d

⇒ a + c = 2 × 30

⇒ a + c = 30

But we cannot determine the ratio of age of A and B.

Hence statement III alone is not sufficient.

Related Questions

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. In a family, there are five members. What is the sum of ages of Bhushan and Harshad, if Abhijeet is father of Harshad and twice his age? I. Varsha is the younger sister of Harshad and Vineeta is wife of Abhijeet. Bhushan is brother in law of Abhijeet the average sum of ages of Abhijeet, Varsha and Vineeta is 37 years. II. Vineeta is elder to Bhushan and the sum of their ages is 71 years. If the ratio of ages of Harshad and Bhushan is 4 ∶ 5.