In a class of six students, A is taller than B but shorter than C. D is shorter than E but taller than A. F is the tallest. Who is the second tallest? (2023)
Practice Questions
1 question
Q1
In a class of six students, A is taller than B but shorter than C. D is shorter than E but taller than A. F is the tallest. Who is the second tallest? (2023)
A
B
C
D
The order of height is F > C > A > D > E > B. Therefore, C is the second tallest.
Questions & Step-by-step Solutions
1 item
Q
Q: In a class of six students, A is taller than B but shorter than C. D is shorter than E but taller than A. F is the tallest. Who is the second tallest? (2023)
Solution: The order of height is F > C > A > D > E > B. Therefore, C is the second tallest.
Steps: 7
Step 1: Identify the relationships given in the question. A is taller than B but shorter than C.
Step 2: From Step 1, we can write the order: B < A < C.
Step 3: Next, we know D is shorter than E but taller than A. This gives us the order: A < D < E.
Step 4: Combine the information from Steps 2 and 3. We have B < A < C and A < D < E.
Step 5: Now we can combine all the relationships. Since D is taller than A, we can place D after A: B < A < D < E.
Step 6: We also know F is the tallest. So we add F at the beginning: F > C > A > D > E > B.
Step 7: Now, we look for the second tallest. The order is F (tallest), then C (second tallest).
