A family group is seated in one row. The father sits to the left of the son and to the right of the grandfather. The mother sits to the right of her daughter but to the left of the grandfather. Who occupies the central seat?

Introduction / Context:Five distinct family members sit in a single row. Translating each relational statement into left–right inequalities yields a unique order, revealing the central seat holder.

Given Data / Assumptions:

• Father is left of Son and right of Grandfather ⇒ Grandfather < Father < Son.
• Mother is right of Daughter but left of Grandfather ⇒ Daughter < Mother < Grandfather.
• All five are distinct: Daughter, Mother, Grandfather, Father, Son.

Concept / Approach:Chain the two inequalities into one full order: the second places Mother and Daughter to the left of Grandfather; the first places Father and Son to the right of Grandfather.

Step-by-Step Solution:

Verification / Alternative check:Any swap that moves Grandfather from the middle contradicts at least one of the inequalities.

Why Other Options Are Wrong:Mother and Daughter lie to the left of the center; Father and Son lie to the right.

Common Pitfalls:Accidentally interpreting “right of Grandfather” the other way round or merging roles (e.g., equating Mother and Daughter).

Final Answer:Grandfather