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Five students P, Q, R, S, and T scored different marks in an exam. P scored more

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Question: 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)

Options:

  1. P
  2. Q
  3. R
  4. T

Correct Answer: T

Exam Year: 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.

Five students P, Q, R, S, and T scored different marks in an exam. P scored more

Practice Questions

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)
  1. P
  2. Q
  3. R
  4. T

Questions & Step-by-Step Solutions

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)
  • 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.
  • Inequalities – Understanding and comparing scores using inequalities to determine the order of performance among students.
  • Logical reasoning – Using logical deductions to infer relationships between different scores based on given conditions.
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