Question

Liza is older than her cousin Paul. Paul's brother, Sam, is older than Liza. All of them like to play chess. Paul wins more often than Liza. Which one of the following statements must be true based on the above statements?

• A. Sam often loses among all three of them.
• B. Sam is a better chess player than Paul.
• C. Liza is the oldest of the three.
• D. Paul is the youngest of the three.

Answer 1

The correct option is D Paul is the youngest of the three.

Let's read the statements and find the connection between Paul, Susan, and Liza.

First statement:
Liza is older than Paul, which is represented as:
L > P

Second statement:
Sam is older than Liza, which is represented as:
S > L

Combining these two statements, we conclude:
Susan is older than both Liza and Paul.
S > L > P

So, Paul is the youngest, and Sam is the eldest of all three.

Also, it is mentioned that when all three of them play chess, Paul wins more games than Liza.

It is not stated who the best chess player is or who loses the most.

Hence, from the given options, only the last option is true.