Logical Problems


Direction: Pick the correct option for the given questions.

  1. Four people witnessed a mugging. Each gave a different description of the mugger. Which description is probably right?









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    The elements of the description repeated most often.

    Correct Option: B

    Tall, thin, and middle-aged are the elements of the description repeated most often and are therefore the most likely to be accurate.


  1. In a four-day period—Monday through Thursday—each of the following temporary office workers worked only one day, each a different day. Ms. Johnson was scheduled to work on Monday, but she traded with Mr. Carter, who was originally scheduled to work on Wednesday. Ms. Falk traded with Mr. Kirk, who was originally scheduled to work on Thursday. After all the switching was done, who worked on Tuesday?









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    After all the switches were made, Mr. Kirk worked on Tuesday. Mr. Carter worked on Monday.

    Correct Option: D

    After all the switches were made, Mr. Kirk worked on Tuesday. Mr. Carter worked on Monday, Ms. Johnson on Wednesday, and Ms. Falk on Thursday.


  1. A four-person crew from Classic Colors is painting Mr. Field’s house. Michael is painting the front of the house. Ross is in the alley behind the house painting the back. Jed is painting the window frames on the north side, Shawn is on the south. If Michael switches places with Jed, and Jed then switches places with Shawn, where is Shawn?









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    After all the switches were made, Shawn is in front of the house. Ross is in the alley behind the house.

    Correct Option: C

    After all the switches were made, Shawn is in front of the house. Ross is in the alley behind the house, Michael is on the north side, and Jed is on the south.


  1. Four friends in the sixth grade were sharing a pizza. They decided that the oldest friend would get the extra piece.Randy is two months older than Greg, who is three months younger than Ned. Kent is one month older than Greg. Who should get the extra piece of pizza?









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    If Randy is two months older than Greg, then Ned is three months older than Greg and one month older than Randy.

    Correct Option: C

    If Randy is two months older than Greg, then Ned is three months older than Greg and one month older than Randy. Kent is younger than both Randy and Ned. Ned is the oldest.


  1. Nurse Kemp has worked more night shifts in a row than Nurse Rogers, who has worked five. Nurse Miller has worked fifteen night shifts in a row, more than Nurses Kemp and Rogers combined. Nurse Calvin has worked eight night shifts in a row, less than Nurse Kemp. How many night shifts in a row has Nurse Kemp worked?









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    Nurse Kemp has worked more shifts in a row than Nurse Calvin; therefore, Kemp has worked more than eight shifts. The number of Kemp’s shifts plus the number of Rogers’s shifts (five) cannot equal fifteen or more, the number of Miller’s shifts.

    Correct Option: B

    Nurse Kemp has worked more shifts in a row than Nurse Calvin; therefore, Kemp has worked more than eight shifts. The number of Kemp’s shifts plus the number of Rogers’s shifts (five) cannot equal fifteen or more, the number of Miller’s shifts. Therefore, Kemp has worked nine shifts in a row (5 + 9 = 14).