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Three sizes of hats – small, medium, and large – are stored in four sealed boxes. For each of the three sixes of hats, there are exactly three boxes that contain that size. Four labels accurately reflecting the contents of the boxes were prepared. However, only two of the labels were places on the correct boxes, and the other two labels were placed on the wrong boxes. As a result, the boxes are labeled as follows:
Box 1 – Small and medium
Box 2 – Small and large
Box 3 – Medium and large
Box 4 – Small, medium, and large
If box 3 actually contains no small hats, which of the following must be true?CorrectIncorrect/Not answered
If box 4 actually contains no small hats, which of the following must be true?CorrectIncorrect/Not answered
If box 1 is correctly labeled, which of the following must be true?CorrectIncorrect/Not answered
If box 1 and box 4 are the mislabeled boxes, which of the following must be true?CorrectIncorrect/Not answered
If box 1 and box 4 are the correctly labeled boxes, which of the following must be true?CorrectIncorrect/Not answered
A selection from six colored lights – M, O, P, R, T, and Y – is projected onto a wall, one light at a time, in a continuous sequence that lasts exactly 30 seconds. A single projection of a light lasts exactly six seconds. A single projection of a light can be followed immediately by another projection of the same light. A color cannot be projected any more than three times in any thirty-second sequences. Any sequence is organized according to the following conditions:
No time elapses between the end of one six-second projection and the beginning of another.
R cannot be projected in any sequence more than once.
If R is the first color projected in a sequence, Y cannot be projected in that sequence.
If P is projected at least once after T in a sequence, P is projected exactly twice in that sequence.
M is projected for the last six seconds in every sequence.
Which of the following is an acceptable sequence?CorrectIncorrect/Not answered
Which of the following must be true of any thirty-second sequence that is made up of exactly two colors?CorrectIncorrect/Not answered
P can occupy 18 seconds of a sequence if the sequence begins with any of the following colors EXCEPT:CorrectIncorrect/Not answered
If R is the first color projected and O is the second color projected in a sequence that contains the maximum number of colors, the third and fourth colors projected must beCorrectIncorrect/Not answered
If a sequence begins with 12 seconds of Y, any of the following could be projected in the next 12 seconds EXCEPTCorrectIncorrect/Not answered