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In a class of five students, A is taller than B but shorter than C. D is shorter
In a class of five students, A is taller than B but shorter than C. D is shorter than A but taller than E. Who is the tallest? (2023)
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Q1
In a class of five students, A is taller than B but shorter than C. D is shorter than A but taller than E. Who is the tallest? (2023)
A
B
C
D
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The height order is C > A > B and D > E. Therefore, C is the tallest.
Questions & Step-by-step Solutions
1 item
Q
Q: In a class of five students, A is taller than B but shorter than C. D is shorter than A but taller than E. Who is the tallest? (2023)
Solution:
The height order is C > A > B and D > E. Therefore, C is the tallest.
Steps: 9
Show Steps
Step 1: Identify the relationships given in the question.
Step 2: A is taller than B, so we write A > B.
Step 3: A is shorter than C, so we write C > A.
Step 4: Combine the two relationships: C > A > B.
Step 5: D is shorter than A, so we write A > D.
Step 6: D is taller than E, so we write D > E.
Step 7: Combine the relationships involving D and E: A > D > E.
Step 8: Now we have two groups: C > A > B and A > D > E.
Step 9: Since C is taller than A, and A is taller than D and E, we conclude that C is the tallest.
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