Multiple choice

Passage

Directions: The question below is followed by statements I and II. You are to determine whether the data given in the statements is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers. Give answer (a) if the question can be answered by using statement I alone but cannot be answered by statement II alone (b) if the question can be answered by using statement II alone but cannot be answered by statement I alone (c) if both statements I and II together are required to answer the question (d) if the answer can be found by using any of the two statements alone (e) if both the statements together are not sufficient to answer the question

Sum of Rohit, Parul and Priya's present ages is 53 years. Find Priya's present age. I. Priya is 2 years elder than Parul. ">II. Ratio of Rohit and Parul's present ages is 5 : 6, respectively and that of Parul and Priya is 9 : 10, respectively.

  1. (a)

  2. (b)

  3. (c)

  4. (d)

  5. (e)
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Rohit, Parul, Priya be R, P, A. R+P+A = 53. Statement II gives ratios R:P = 5:6 and P:A = 9:10. This allows expressing all in terms of one variable (e.g., P), which is sufficient to solve for all ages.

AI explanation

Given the sum of their ages as 53, we need to find Priya's age. Statement I only provides a relative age difference between Priya and Parul, which is insufficient without absolute values. Statement II gives the ratio of Rohit to Parul as 5 to 6 and Parul to Priya as 9 to 10. By equating the ratio parts for Parul, the combined ratio of Rohit, Parul, and Priya becomes 15 to 18 to 20. This combined ratio has 53 total parts, meaning one part equals 1 year, so Priya's age is 20 years. Therefore, the question can be answered by using statement II alone but not statement I alone.

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