Multiple choice

In each of the following questions, a question is followed by two statements numbered I and II. Read both the statements and answer accordingly. What will be the age of Ruchi after 6 years? Statement I : Ratio of the present age of Shivam and Ruchi is 2 : 3. Statement II : Twelve times the Present age of Shivam equals eight times the present age of Ruchi.

  1. If the data in statement I alone is sufficient to answer the question.

  2. If the data in statement II alone is sufficient to answer the question.

  3. If the data either in statement I alone or statement II alone are sufficient to answer the question.

  4. If the data given in both I and II together are not sufficient to answer the question.

  5. If the data in both the statements I and II together are necessary to answer the question.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I gives the ratio of ages as 2:3. Statement II says 12S = 8R, which simplifies to 3S = 2R or S:R = 2:3 - the same ratio as statement I. Both statements provide the same proportional information but neither gives an absolute age value. With only ratios, there are infinitely many possible ages that satisfy the conditions (e.g., Shivam=20, Ruchi=30 or Shivam=24, Ruchi=36). Therefore, even together, the statements are insufficient.

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