Multiple choice

Directions: In the following question, you have to find out the redundant statement(s) for determining the answer to the given question. What will be the sum of ages of mother and daughter after 10 years? I. Mother's present age is twice the daughter's present age. II. After 10 years, the ratio of mother's age to daughter's age will become 12 : 7. III. The difference between the mother's age and the daughter's age is equal to the daughter's present age.

  1. Only I or II

  2. Only II or III

  3. Only I or III

  4. Only III

  5. Any 2 of the 3
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let M = mother's age, D = daughter's age. I: M = 2D. II: (M+10)/(D+10) = 12/7. III: M - D = D => M = 2D. Statements I and III are identical, making one of them redundant.

AI explanation

To find the sum of ages, you must set up a system of linear equations to solve for the individual present ages. Statement II provides the future ratio of 12 to 7, which is essential to anchor the variables. Because statement I gives the present ratio as 2 to 1 and statement III specifies the age gap using the daughter's age, both convey the exact same constraint; therefore, pairing the necessary statement II with either I or III is sufficient, making I and III redundant to each other.

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