Logical Problems


Direction: Pick the correct option for the given questions.

  1. At the baseball game, Henry was sitting in seat 253.
    Marla was sitting to the right of Henry in seat 254.
    In the seat to the left of Henry was George.
    Inez was sitting to the left of George.
    Which seat is Inez sitting in?









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    If George is sitting at Henry’s left, George’s seat is 252. The next seat to the left, then, is 251.

    Correct Option: A

    If George is sitting at Henry’s left, George’s seat is 252. The next seat to the left, then, is 251.


  1. Ms. Forest likes to let her students choose who their partners will be; however, no pair of students may work together more than seven class periods in a row.
    Adam and Baxter have studied together seven class periods in a row.
    Carter and Dennis have worked together three class periods in a row.
    Carter does not want to work with Adam.
    Who should be assigned to work with Baxter?









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    Baxter should be assigned to study with Carter. Baxter cannot be assigned with Adam, because they have already been together for seven class periods.

    Correct Option: A

    Baxter should be assigned to study with Carter. Baxter cannot be assigned with Adam, because they have already been together for seven class periods. If Baxter is assigned to work with Dennis, that would leave Adam with Carter, but Carter does not want to work with Adam.



  1. Danielle has been visiting friends in Ridge-wood for the past two weeks. She is leaving tomorrow morning and her flight is very early. Most of her friends live fairly close to the airport. Madison lives ten miles away. Frances lives five miles away, Samantha, seven miles. Alexis is farther away than Frances, but closer than Samantha. Approximately how far away from the airport is Alexis?









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    Alexis is farther away than Frances, who is five miles away, and closer than Samantha, who is seven miles away.

    Correct Option: D

    Alexis is farther away than Frances, who is five miles away, and closer than Samantha, who is seven miles away.


  1. Four defensive football players are chasing the opposing wide receiver, who has the ball. Calvin is directly behind the ball carrier. Jenkins and Burton are side by side behind Calvin. Zeller is behind Jenkins and Burton. Calvin tries for the tackle but misses and falls. Burton trips. Which defensive player tackles the receiver?









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    After all the switching was done, Jenkins was directly behind the receiver. Calvin and Burton had fallen.

    Correct Option: C

    After all the switching was done, Jenkins was directly behind the receiver. Calvin and Burton had fallen. Zeller remained in the rear.



  1. As they prepare for the state championships, one gymnast must be moved from the Level 2 team to the Level 1 team. The coaches will move the gymnast who has won the biggest prize and who has the most experience. In the last competition, Roberta won a bronze medal and has competed seven times before. Jamie has won a silver medal and has competed fewer times than Roberta. Beth has won a higher medal than Jamie and has competed more times than Roberta. Michele has won a bronze medal, and it is her third time competing. Who will be moved to the Level 1 team?









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    Beth won the biggest prize, described as a higher medal than Jamie’s, which we’ve been told was a silver medal. Roberta and Michele both won bronze medals, which are lower ranking medals than silver. Beth is also described as having competed more times than Roberta — who has competed seven times.

    Correct Option: B

    Beth won the biggest prize, described as a higher medal than Jamie’s, which we’ve been told was a silver medal. Roberta and Michele both won bronze medals, which are lower ranking medals than silver. Beth is also described as having competed more times than Roberta — who has competed seven times. Jamie is described as having competed fewer times than Roberta, and Michele has competed three times. Therefore, Beth has competed more times than the others and has won the biggest prize to date.