Analytical Reasoning Question No. 86
A set designer will select colors for six sets that will be used for six consecutive pictures of a ballet, with each picture having a single set. The artistic director has selected eight paint colors—green, magenta, orange, purple, brown, red, white, and yellow—and has asked the designer to use those colors according to the following specifications:
- No color can be chosen for more than one set.
- Sets in pictures 1 and 4 will be painted partly one color and partly another color; sets in the other four pictures will each be painted a single color.
- If green is chosen for the set in any picture, brown must also be chosen for the set in that picture.
- Purple and orange are never used in the same picture as each other.
- Red is chosen for the set in the picture immediately following the picture for which white is chosen, and neither of these colors is used in the same picture as any other color.
| Analytical Reasoning — Sub-Questions (Based on conditions) | |
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| 1. |
If yellow is chosen for picture 2 and brown is one of the colors chosen for picture 4, which of the following must be one of the colors chosen for ballet 1?
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| 2. |
If orange is chosen for picture 5, which of the following must be true?
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| 3. |
If white is chosen for picture 5, which of the following can be true?
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| 4. |
For picture 2, the designer can select a color from a maximum of how many acceptable colors?
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