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If in a competition, Team A scores more than Team B but less than Team C, and Te

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Question: If in a competition, Team A scores more than Team B but less than Team C, and Team D scores less than Team A but more than Team B, which team has the highest score?

Options:

  1. Team A
  2. Team B
  3. Team C
  4. Team D

Correct Answer: Team C

Solution: 

Team C has the highest score since A < C.

If in a competition, Team A scores more than Team B but less than Team C, and Te

Practice Questions

Q1
If in a competition, Team A scores more than Team B but less than Team C, and Team D scores less than Team A but more than Team B, which team has the highest score?
  1. Team A
  2. Team B
  3. Team C
  4. Team D

Questions & Step-by-Step Solutions

If in a competition, Team A scores more than Team B but less than Team C, and Team D scores less than Team A but more than Team B, which team has the highest score?
  • Step 1: Identify the scores of the teams based on the information given.
  • Step 2: Team A scores more than Team B, so we can write: A > B.
  • Step 3: Team A scores less than Team C, so we can write: A < C.
  • Step 4: From Step 2 and Step 3, we can conclude that C is greater than A and B.
  • Step 5: Team D scores less than Team A but more than Team B, so we can write: B < D < A.
  • Step 6: Since A is less than C, and D is less than A, we can conclude that D is also less than C.
  • Step 7: Therefore, the order of scores from highest to lowest is C > A > D > B.
  • Step 8: The team with the highest score is Team C.
  • Inequalities – Understanding and comparing scores using inequalities to determine the highest score among teams.
  • Logical reasoning – Applying logical reasoning to deduce relationships between the scores of different teams.
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