Multiple choice

Directions: The following problem consists of a question and three statements. You have to find out which of the statements is/are redundant for determining the answer of the given question or can be dispensed with. What will be the ratio of Rahul and Prem's ages after 20 years? (i) The ratio of Rahul's and Prem's present ages is 7 : 8. (ii) After 4 years, the ratio of the ages of Rahul and Prem will be 8 : 9. (iii) 4 years ago, the ratio of the ages of Rahul and Prem was 6 : 7.

  1. Only (i) and (ii)

  2. Only (ii) and (iii)

  3. Any two of three

  4. Any one of three

  5. Only (iii)
Reveal answer Fill a bubble to check yourself
D Correct answer
AI explanation

Any one of the three statements is sufficient because each establishes the same constant age difference between Rahul and Prem. In statement (i), the difference of one ratio unit corresponds to their actual age difference. Statements (ii) and (iii) similarly allow you to find the age difference using a single equation. Once the age difference is known from any one statement, the ratio of their ages after 20 years can be uniquely determined.

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