GATE EC 2026 Set 1 Q7 — General Aptitude

Three children $\mathrm{P}, \mathrm{Q}, \mathrm{R}$ and two grown-ups $\mathrm{X}, \mathrm{Y}$ play a badminton doubles tournament. $\text{X}$ and $\text{Y}$ are parents to two of the children playing. The child of $\text{X}$ is not the same as the child of $\text{Y}.$ Exactly one of the children does not have a parent playing in the tournament. The following rules are followed:

1. A parent and his/her child cannot be on the same team.
2. A match can feature at most one parent and his/her child, that is, a maximum of one parent-child pair can play in a match.

The following matches were played:

$$\begin{array}{|l|l|l|} \hline & \text{TEAM 1} & \text{TEAM 2} \\ \hline \text{MATCH 1} & P \text{ and } X & Q \text{ and } R \\ \hline \text{MATCH 2} & P \text{ and } R & X \text{ and } Y \\ \hline \text{MATCH 3} & R \text{ and } X & Q \text{ and } Y \\ \hline \end{array}$$
Which one of the following options is correct?