PrepTest 54, Section 1, Question 9
A critic has prepared a review of exactly six music CDs�Headstrong, In Flight, Nice, Quasi, Reunion, and Sounds Good. Each CD received a rating of either one, two, three, or four stars, with each CD receiving exactly one rating. Although the ratings were meant to be kept secret until the review was published, the following facts have been leaked to the public:
A critic has prepared a review of exactly six music CDs�Headstrong, In Flight, Nice, Quasi, Reunion, and Sounds Good. Each CD received a rating of either one, two, three, or four stars, with each CD receiving exactly one rating. Although the ratings were meant to be kept secret until the review was published, the following facts have been leaked to the public:
A critic has prepared a review of exactly six music CDs�Headstrong, In Flight, Nice, Quasi, Reunion, and Sounds Good. Each CD received a rating of either one, two, three, or four stars, with each CD receiving exactly one rating. Although the ratings were meant to be kept secret until the review was published, the following facts have been leaked to the public:
A critic has prepared a review of exactly six music CDs�Headstrong, In Flight, Nice, Quasi, Reunion, and Sounds Good. Each CD received a rating of either one, two, three, or four stars, with each CD receiving exactly one rating. Although the ratings were meant to be kept secret until the review was published, the following facts have been leaked to the public:
For each of the ratings, at least one but no more than two of the CDs received that rating.
Headstrong received exactly one more star than Nice did.
Either Headstrong or Reunion received the same number of stars as In Flight did.
At most one CD received more stars than Quasi did.
If Nice and Reunion each received a rating of one star, then which one of the following could be true?
Headstrong received a rating of three stars.
Headstrong received a rating of four stars.
In Flight received a rating of three stars.
Sounds Good received a rating of two stars.
Sounds Good received a rating of three stars.
Explanations
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