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?
Team A
Team B
Team C
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.
