Multiple choice

Directions: In the following problem, you have to find out which of the given statements is/are necessary for determining the answer of the question asked. What is the ratio of the ages of Neha and Minali? I. 6 years ago their ages were in the ratio 3 : 4. II. After 2 years, the Neha's age will be 85% that of the Minali. III. The sum of their ages is three less than twice the age of the Minali.

  1. Only I and II

  2. Only I and III

  3. Any two of them

  4. Either I or II and III

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

Statement I gives a ratio 6 years ago. Statement II gives a relationship between current ages. Statement III gives a relationship between current ages. Any two statements provide two linear equations with two variables, which is sufficient to find the ratio.

AI explanation

We need to determine the ratio of Neha's and Minali's current ages, N and M. Statement I provides the equation (N minus 6) divided by (M minus 6) equals 3 fourths, while statement II provides (N plus 2) divided by (M plus 2) equals 0.85. Solving statements I and II together yields unique values for both ages, so they are sufficient independently. Similarly, statement III simplifies to N plus M equals 2M minus 3 (or N equals M minus 3), which can be solved uniquely with either statement I or II. Thus, any two of the three statements are sufficient to find the ratio.

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