A, B, C, D, and E are participating in a quiz. A scored more than B but less tha
Practice Questions
Q1
A, B, C, D, and E are participating in a quiz. A scored more than B but less than C. D scored less than E but more than A. Who scored the least? (2023)
A
B
D
E
Questions & Step-by-Step Solutions
A, B, C, D, and E are participating in a quiz. A scored more than B but less than C. D scored less than E but more than A. Who scored the least? (2023)
Step 1: Identify the relationships between the scores based on the information given.
Step 2: From 'A scored more than B but less than C', we can write: B < A < C.
Step 3: From 'D scored less than E but more than A', we can write: A < D < E.
Step 4: Now combine the two relationships: B < A < C and A < D < E.
Step 5: This gives us the complete order of scores: B < A < C < D < E.
Step 6: From the order, we can see that B is the lowest score.
Inequalities – Understanding and comparing scores using inequalities to determine the order of participants.
Logical reasoning – Using logical deductions based on given conditions to arrive at a conclusion.
