Five students P, Q, R, S, and T scored different marks in an exam. P scored more than Q but less than R. S scored less than T but more than P. Who scored the highest? (2023)
Practice Questions
1 question
Q1
Five students P, Q, R, S, and T scored different marks in an exam. P scored more than Q but less than R. S scored less than T but more than P. Who scored the highest? (2023)
P
Q
R
T
The order based on the scores is R > P > Q and T > S > P. Since T is greater than S and S is greater than P, T is the highest scorer.
Questions & Step-by-step Solutions
1 item
Q
Q: Five students P, Q, R, S, and T scored different marks in an exam. P scored more than Q but less than R. S scored less than T but more than P. Who scored the highest? (2023)
Solution: The order based on the scores is R > P > Q and T > S > P. Since T is greater than S and S is greater than P, T is the highest scorer.
Steps: 6
Step 1: Identify the relationships from the question. P scored more than Q but less than R, which means R > P > Q.
Step 2: Next, analyze the scores of S and T. S scored less than T but more than P, which means T > S > P.
Step 3: Now we have two sets of relationships: R > P > Q and T > S > P.
Step 4: Since T is greater than S and S is greater than P, we can conclude that T is greater than P.
Step 5: We also know that R is greater than P. So we have R > P and T > P.
Step 6: To find out who scored the highest, we need to compare R and T. Since we don't have a direct comparison between R and T, we can only conclude that T is the highest scorer based on the information given.
