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 shortest? (2023)
Practice Questions
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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 shortest? (2023)
A
B
D
E
From the information, we can arrange them as C > A > D > E > B > F. Therefore, B is the shortest.
Questions & Step-by-step Solutions
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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 shortest? (2023)
Solution: From the information, we can arrange them as C > A > D > E > B > F. Therefore, B is the shortest.
Steps: 7
Step 1: Identify the relationships between the students based on the information given.
Step 2: From the statement 'A is taller than B but shorter than C', we can write: C > A > B.
Step 3: From the statement 'D is shorter than E but taller than A', we can write: E > D > A.
Step 4: Combine the information from Steps 2 and 3: C > A > D > E > B.
Step 5: The tallest student is F, so we add F at the top: F > C > A > D > E > B.
Step 6: Now, we look for the shortest student in the arrangement. B is at the end of the list.