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Problems on Ages

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.

Q1:
What is Ravi's present age?
I.  The present age of Ravi is half of that of his father.
II.  After 5 years, the ratio of Ravi's age to that of his father's age will be 6 : 11.
 III.  Ravi is 5 years younger than his brother.

A I and II only

B II and III only

C I and III only

D All I, II and III

E Even with all the three statements answer cannot be determined.

ANS:A - I and II only

I. Let Ravi's present age be x years. Then, his father's present age = 2x years.

II. After 5 years, Ravi's age = 6
Father's age 11
III. Ravi is younger than his brother.
From I and II, we get x + 5 = 6 .   This gives x, the answer.
2x + 5 11
Thus, I and II together give the answer. Clearly, III is redundant.  Correct answer is (A).



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