Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

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Improve your arithmetic reasoning skills for the Armed Forces Classification Test. Prepare with a variety of questions and detailed explanations to ace your exam!

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If a team wins 2 more games, they would win 70% of all their games. They are playing a total of 20 games. How many games have they won so far?

  1. 16

  2. 14

  3. 18

  4. 12

The correct answer is: 18

To find out how many games the team has won so far, we can set up an equation based on the information given. First, we know the team has played a total of 20 games, and if they win 2 more games, their total wins will be represented as \( x + 2 \), where \( x \) is the number of games they have won so far. After winning these 2 additional games, we want their winning percentage to be 70% of all their games. The total number of games in this scenario remains 20. Therefore, we can express 70% of 20 as: \[ 0.7 \times 20 = 14 \] This means that to achieve a winning percentage of 70%, the team needs to have won a total of 14 games. Now we can set up the equation based on the number of wins after winning the additional games: \[ x + 2 = 14 \] To find \( x \), subtract 2 from both sides: \[ x = 14 - 2 \] \[ x = 12 \] Thus, the team has won 12 games so far. This calculation aligns with the overall aim to determine their