The Parking Spaces Problem

Mathematics & Tutoring With David Seff

Read the below passage carefully and answer the following questions:

At a local business, parking spaces are reserved for the top executives: CEO, president, vice president, secretary, and treasurer with the spaces lined up in that order. The parking lot guard can tell at a glance if the cars are parked correctly by looking at the color of the cars. The cars are white, orange, red, black, and blue, and the executives names are Andrew, Brett, Caitlyn, Danny, and Erin.

  • The car in the first space is black.
  • A blue car is parked between the black car and the orange car.
  • The car in the last space is red.
  • The secretary drives a white car.
  • Andrew’’s car is parked next to Danny’s.
  • Erin drives a orange car.
  • Brett’s car is parked between Caitlyn’s and Erin’s.
  • Danny’s car is parked in the last space.

Question 1: Who is the secretary?

  1. Erin
  2. Danny
  3. Caitlyn
  4. Brett
  5. Andrew

Questions 2: Who is the CEO?

  1. Andrew
  2. Brett
  3. Caitlyn
  4. Danny
  5. Erin

Question 3: What color is the vice president’s car?

  1. Orange
  2. White
  3. Blue
  4. Red
  5. Black

ANSWERS BELOW


 

 

 

 

 

Answers:

  1. E – Caitlyn cannot be the secretary, since she is the CEO, nor can Erin, because she drives a orange car (and the secretary drives a white car). Danny’s, the red car, is in the last space. Andrew is the secretary, because his car is parked next to Danny’s, which is where the secretary’s car is parked.

 

  1. C – The CEO drives a black car and parks in the first space. Erin drives a orange car; Brett’s car is not in the first space; Danny’s is not in the first space, but the last. Andrew’s car is parked next to Danny’s, so Caitlyn is the CEO.

 

  1. A – The vice president’s car cannot be black, because that is the CEO’s car, which is in the first space. Nor can it be red, because that is the treasurer’s car, which is in the last space, or white, because that is the secretary’s. The president’s car must be blue, because it is parked between a black car (in the first space) and a orange car, which must be the vice president’s.