Multiple choice

Directions: In this problem, a question is followed by three statements numbered I, II and III given below it. You have to decide which of the given statements is/are required to answer the question. What will be Piya's age after 10 years? I. Piya's mother's age is four times Piya's age. II. After 6 years, she will be three and a quarter times as old as Piya. III. The ratio of Piya's mother's age to Piya's age is more than 1.

  1. Only I

  2. Only II

  3. Only I and II

  4. Only II and III

  5. All three of them
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let M be mother's age and P be Piya's age. I: M = 4P. II: M + 6 = 3.25(P + 6). We have two variables and two equations, which is sufficient to solve for P and then P + 10.

AI explanation

Statement I provides the equation M = 4P, relating the mother's age to Piya's age. Statement II provides the future equation M + 6 = 3.25(P + 6), which can be solved simultaneously with the first equation to find Piya's exact current age and thus her age after 10 years. Statement III only provides an inequality and adds no specific numerical value to the calculation. Therefore, only statements I and II are required to answer the question.

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