Mother–father–child relations – Your mother is 4 years younger than your father, and your father is 6 times as old as you. If you are 6 years old, what is your mother’s age?

Introduction / Context:This item mixes a multiplicative relation (father relative to child) with an offset relation (mother relative to father). It is a straightforward two-step computation once the child’s current age is known.

Given Data / Assumptions:

• Child's present age = 6 years.
• Father = 6 × child = 36 years.
• Mother = father − 4 years.

Concept / Approach:Compute the father’s age from the multiplier, then subtract 4 to get the mother’s age.

Step-by-Step Solution:Father = 6 × 6 = 36 years.Mother = 36 − 4 = 32 years.

Verification / Alternative check:Mother + 4 = 36 confirms she is 4 years younger than father.

Why Other Options Are Wrong:They do not satisfy both constraints simultaneously.

Common Pitfalls:Reading “six times older” incorrectly; in aptitude context it is taken as “six times as old.”

Final Answer:32 years