Exercise :: Problems on Ages - Data Sufficiency 2
Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.
Answer: Option D
II. Let the present ages of Arun and his son be 11x and 6x years respectively.
I. 5 years ago, Arun's age = 2 x His son's age.
Clearly, any two of the above will give Arun's present age.
Correct answer is (D).
Answer: Option A
I. Let Ravi's present age be x years. Then, his father's present age = 2x years.
III. Ravi is younger than his brother.
Thus, I and II together give the answer. Clearly, III is redundant.
Correct answer is (A).
Answer: Option E
I. Let the present ages of Tanya and Rahul be 3x years and 4x years.
II. After 5 years, (Tanya's age) : (Rahul's age) = 4 : 5.
III. (Rahul's age) = (Tanya's age) + 5.
Tanya's age = 3x can be found. Thus, I and II give the answer.
From I and III, we get 4x = 3x + 5. This gives x.
Tanya's age = 3x can be found. Thus, I and III give the answer.
From III : Let Tanya's present age be t years.
Then Rahul's present age = (t + 5) years.
Thus, II and III give the answer.
Correct answer is (E).