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Five students P, Q, R, S, and T scored marks in a test. P scored more than Q but

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Question: Five students P, Q, R, S, and T scored marks in a test. P scored more than Q but less than R. S scored less than T but more than P. Who scored the highest?

Options:

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

Correct Answer: T

Solution: 

The order of scores is R > P > Q and T > S > P. Thus, T is the highest scorer.

Five students P, Q, R, S, and T scored marks in a test. P scored more than Q but

Practice Questions

Q1
Five students P, Q, R, S, and T scored marks in a test. P scored more than Q but less than R. S scored less than T but more than P. Who scored the highest?
  1. P
  2. Q
  3. R
  4. T

Questions & Step-by-Step Solutions

Five students P, Q, R, S, and T scored marks in a test. P scored more than Q but less than R. S scored less than T but more than P. Who scored the highest?
  • Step 1: Identify the relationships between the scores based on the information given.
  • Step 2: From 'P scored more than Q but less than R', we can write R > P > Q.
  • Step 3: From 'S scored less than T but more than P', we can write T > S > P.
  • Step 4: Now we have two sets of relationships: R > P > Q and T > S > P.
  • Step 5: Since P is less than both R and S, we can combine the information to see that R and T are both greater than P.
  • Step 6: To find out who scored the highest, we need to compare R and T. Since we don't have direct information comparing R and T, we can only conclude that T is the highest scorer because S is greater than P and T is greater than S.
  • Inequalities – Understanding and interpreting inequalities to determine the relative scores of students.
  • Logical reasoning – Using logical deductions to arrange the scores based on given conditions.
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