Five friends are ranked based on their performance: A is better than B but worse than C. D is better than A but worse than E. Who is the best performer?
Practice Questions
1 question
Q1
Five friends are ranked based on their performance: A is better than B but worse than C. D is better than A but worse than E. Who is the best performer?
A
B
C
E
E is better than D, who is better than A, who is better than B, and C is better than A. Thus, E is the best performer.
Questions & Step-by-step Solutions
1 item
Q
Q: Five friends are ranked based on their performance: A is better than B but worse than C. D is better than A but worse than E. Who is the best performer?
Solution: E is better than D, who is better than A, who is better than B, and C is better than A. Thus, E is the best performer.
Steps: 6
Step 1: Identify the relationships between the friends based on the given information.
Step 2: From the statement 'A is better than B but worse than C', we can write: C > A > B.
Step 3: From the statement 'D is better than A but worse than E', we can write: E > D > A.
Step 4: Now combine the two sets of relationships: E > D > A > B and C > A.
Step 5: Since C is better than A, we can place C in the ranking: E > D > C > A > B.
Step 6: Compare E and C. Since E is not mentioned as being worse than C, we conclude E is the best performer.
