Analytical

Analytical

Puzzle Medium 2

⏱ 10:00

600%
  • Questions 1-5 An office is one of several in which all the furniture is to be repainted. The office contains exactly four pieces of furniture – a bookcase, two chairs, and a desk – and no furniture is to be moved into or out of that office. The repainting specifications are as follows: On completion of repainting, any piece of furniture in an office must be uniformly brown, green, tan or white. On completion of repainting, at least one of the pieces of furniture in an office must be green, and the desk must be either brown or tan. If, prior to repainting, a piece of furniture is either orange or yellow, that piece must be white on completion of repainting. If, prior to repainting, a piece of furniture is tan, that piece must remain tan on completion of repainting. All of the specifications above can and must be met in each scheduled for repainting. If, prior to repainting, one chair in the office is orange and the other chair is tan, which of the following must be true of the furniture in the office on completion of repainting?
  • If, prior to repainting, the desk in the office is green and the other three pieces of furniture are white, then of these four pieces of furniture there must be how many that painted a color that differs from its color from prior to repainting?
  • Prior to repainting, and given the repainting specifications, the desk in the office could have been any of the following colors EXCEPT
  • If, prior to repainting, the bookcase is white, one chair is orange, one chair is tan, and the desk is green, which of the following must be true of the furniture in the office on completion of repainting?
  • Which of the following could be true of the furniture in the office prior to repainting if, also prior to repainting, three of the pieces of furniture in the office are tan?
  • Questions 6-10 At the start of a two-week hiking trip, eight women – Orpa, Nazia, Sadia, Anika, Aanila, Fabiha, Naziba, and Munzareen – will divide into a River Group and a Hill Group of four members each. After following different trails for one week, the groups will meet and the women will again divide into a River Group and a Hill Group of four members each, which will again follow different trails for a week. The groups must be formed with the following restrictions: For the first week, Naziba cannot be in the same group as Munzareen. For the second week, both Naziba and Munzareen must be in the River Group. For each of the two weeks, if Orpa is in the Hill Group, Anika must also be in the Hill Group. For each of the two weeks, Sadia must be in the same group as Aanila. Which of the following could be the members of the River Group for the first week?
  • If Aanila is in the River Group for the second week, which of the following must be the members of the Hill Group for that week?
  • If, for each week, Fabiha is in a different group from Naziba, Fabiha must be in a group with which of the following for exactly one week?
  • If Sadia is in the Hill Group for the first week, which of the following must be in the River Group for that week?
  • If exactly two women change groups at the end of the first week, those two women could be which of the following?
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