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.