Multiple choice

The following questions are accompanied by three statements I or A, II or B and III or C. You have to determine which statement(s) is/are sufficient/necessary to answer the questions and mark your answer accordingly What is the age of the Rambha in her family? I. Total age of Rambha, her father, her mother & her brother is 90 years. II. Average age of Rambha, her mother and her brother is 18 years and 4 months. III Average age of her mother and brother is four seventh of her father's age.

  1. Only I & II

  2. Only I & III

  3. Only II & Ill

  4. All I, II & III

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

I gives R+F+M+B = 90. II gives (R+M+B)/3 = 18.33, so R+M+B = 55. III gives (M+B)/2 = 4/7 F. With three independent equations and four variables, we can solve for R by substituting.

AI explanation

The problem asks for a specific value for Rambha's age, which requires finding the ages of her family members individually. Statements I and II alone provide combined sums and averages without defining the exact distribution between all family members. Since statement III provides the relational link between the parents and siblings, all three equations are necessary to construct a solvable system of linear equations.

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