Multiple choice

Directions: The question given below is followed by three statements I, II and III. You have to consider the information in all three statements and decide which statement(s) is/are not required to answer the question and can therefore be dispensed with. What is Ram's present age? I. Ram's present age is double the age of his friend Shyam. II. The ratio of the present age of Ram to the present age of his friend Mohan is 2 : 5. III. After 3 years, the ratio of Ram's age to his friend Shyam's age will be 9 : 5.

  1. Only III

  2. Either I or II

  3. Only II

  4. Either I or III

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let R, S, M be ages. I: R = 2S. II: R/M = 2/5. III: (R+3)/(S+3) = 9/5. Using I and III: (2S+3)/(S+3) = 9/5 => 10S + 15 = 9S + 27 => S = 12. Then R = 24. Statement II is not needed to find R.

AI explanation

To find Ram's present age, let it be R, Shyam's age be S, and Mohan's age be M. Statements I and III provide the equations R = 2S and (R + 3) / (S + 3) = 9 / 5, which can be solved together to find R. Statement II only provides the ratio of Ram to Mohan, which introduces a new variable and does not help solve for Ram's age. Therefore, statement II can be dispensed with.

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