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?
P
Q
R
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.
