Multiple choice

Directions: In the following problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question. What is the ratio of the ages of Naina and Anju? I. Ratio of ages of Naina and Priya is 3 : 4. II. Ratio of ages of Priya and Anju is 8 : 9. III. Naina is 6 years younger than Anju.

  1. Only statements I and III

  2. Only statements II and III

  3. Only statements I and II

  4. All three statements together.

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

Statement I gives the ratio of Naina to Priya, and Statement II gives the ratio of Priya to Anju. Combining these provides the ratio of Naina to Anju. Statement III is redundant because the ratio is already determined by the first two.

AI explanation

The question asks for the ratio of the ages of Naina and Anju. Statement I provides the ratio of Naina's age to Priya's age as 3:4, and statement II provides the ratio of Priya's age to Anju's age as 8:9. By making the value representing Priya's age the same in both ratios, you multiply the first ratio by 2 to get Naina to Priya as 6:8. Combining this directly with the second ratio gives the combined ratio of Naina to Anju as 6:9, meaning only statements I and II are sufficient.

Keep practicing — related questions