Multiple choice

Directions: In the following question, you have to find out which statement(s) is/are redundant for determining the answer of the given question or can be dispensed with. What is Raveena's present age? Statements: I. Raveena's present age is double the age of her daughter. II. The ratio of the present age of Raveena to that of her father is 4 : 7. III. After 3 years, the ratio of Raveena's age to her daughter's age will be 24 : 17.

  1. Only II

  2. Only III

  3. Either I or II

  4. Either II or III

  5. None of the above
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A Correct answer
Explanation

Statement I gives a ratio between Raveena and her daughter. Statement III gives a ratio between them after 3 years. These two statements are sufficient to solve for their current ages. Statement II provides a ratio with the father, which is not needed to find Raveena's age.

AI explanation

Let Raveena's present age be R and her daughter's age be D. From statement I, we establish the equation R = 2D. From statement III, we establish the equation (R + 3) divided by (D + 3) equals 24 divided by 17. Solving these two equations simultaneously by substituting R with 2D gives (2D + 3) divided by (D + 3) equals 24 divided by 17. This evaluates to 34D + 51 = 24D + 72, which simplifies to 10D = 21, meaning Raveena's age can be found using only statements I and III. Statement II provides a ratio involving a third variable without an absolute age, making it redundant for determining the answer.

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