PrepTest 74, Section 1, Question 12
Three rugs will be woven out of colored thread. Six colors of thread are available—forest, olive, peach, turquoise, white, and yellow—exactly five of which will be used to weave the rugs. Each color that is used will be used in only one of the rugs. The rugs are either solid—woven in a single color—or multicolored. The rugs must be woven according to the following rules:
Three rugs will be woven out of colored thread. Six colors of thread are available—forest, olive, peach, turquoise, white, and yellow—exactly five of which will be used to weave the rugs. Each color that is used will be used in only one of the rugs. The rugs are either solid—woven in a single color—or multicolored. The rugs must be woven according to the following rules:
Three rugs will be woven out of colored thread. Six colors of thread are available—forest, olive, peach, turquoise, white, and yellow—exactly five of which will be used to weave the rugs. Each color that is used will be used in only one of the rugs. The rugs are either solid—woven in a single color—or multicolored. The rugs must be woven according to the following rules:
Three rugs will be woven out of colored thread. Six colors of thread are available—forest, olive, peach, turquoise, white, and yellow—exactly five of which will be used to weave the rugs. Each color that is used will be used in only one of the rugs. The rugs are either solid—woven in a single color—or multicolored. The rugs must be woven according to the following rules:
In any rug in which white is used, two other colors are also used.
In any rug in which olive is used, peach is also used.
Forest and turquoise are not used together in a rug.
Peach and turquoise are not used together in a rug.
Peach and yellow are not used together in a rug.
Which one of the following must be true?
There are no multicolored rugs in which forest is used.
There are no multicolored rugs in which turquoise is used.
Peach is used in one of the rugs.
Turquoise is used in one of the rugs.
Yellow is used in one of the rugs.
Explanations
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