Final answer:
Based on the logical relationships established by the first two statements, we can conclude that the third statement 'Ruth has written more questions than Jane' is true, as it correctly follows from 'Jane has written more questions than Paul' and 'Paul has written less questions than Ruth'.
Step-by-step explanation:
The question involves analyzing a set of logical statements to determine the validity of a conclusion. Specifically, the statements outline relationships between the numbers of questions written by Jane, Paul, and Ruth. Based on the given information:
- Jane has written more questions than Paul.
- Paul has written less questions than Ruth.
- Ruth has written more questions than Jane. (We need to evaluate the truthfulness of this statement based on the first two).
From the first two statements, we can deduce a relationship between the three individuals' number of questions. The first statement, 'Jane has written more questions than Paul', establishes that Jane > Paul. The second statement, 'Paul has written less questions than Ruth', establishes that Paul < Ruth. Combining these two pieces of information, we can infer that Jane > Paul < Ruth, thus concluding that Ruth has written the most questions, followed by Jane, and then Paul. Therefore, the third statement that 'Ruth has written more questions than Jane' is indeed true because it correctly follows from the first two statements.