Logical Problems
Direction: Each problem consists of three statements. Based on the first two statements, the third statement may be true, false, or uncertain.
Find solutions for the given question.
- 1. All the offices on the 9th floor have wall-to-wall carpeting.
2. No wall-to-wall carpeting is pink.
3. None of the offices on the 9th floor has pink wall-to-wall carpeting.
If the first two statements are true, the third statement is
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If no wall-to-wall carpeting is pink and all the offices have wall-to-wall carpeting
Correct Option: A
If no wall-to-wall carpeting is pink and all the offices have wall-to-wall carpeting, none of the offices has pink wall-to-wall carpeting.
- 1. Blueberries cost more than strawberries.
2. Blueberries cost lest than raspberries.
3. Raspberries cost more than both strawberries and blueberries.
If the first two statements are true, the third statement is
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Because the first two statements are true
Correct Option: A
Because the first two statements are true, raspberries are the most expensive of the three.
- 1. All the tulips in Zoe’s garden are white.
2. All the pansies in Zoe’s garden are yellow.
3. All the flowers in Zoe’s garden are either white or yellow.
If the first two statements are true, the third statement is
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The first two statements give information about Zoe’s tulips and pansies.
Correct Option: C
The first two statements give information about Zoe’s tulips and pansies. Information about any other kinds of flowers cannot be determined.
- 1. During the past year, Josh saw more movies than Stephen.
2. Stephen saw fewer movies than Darren.
3. Darren saw more movies than Josh.
If the first two statements are true, the third statement is
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Because the first two sentences are true, both Josh and Darren saw more movies than Stephen.
Correct Option: C
Because the first two sentences are true, both Josh and Darren saw more movies than Stephen. However, it is uncertain as to whether Darren saw more movies than Josh.
- 1. Tanya is older than Eric.
2. Cliff is older than Tanya.
3. Eric is older than Cliff.
If the first two statements are true, the third statement is
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Because the first two statements are true, Eric is the youngest of the three,
Correct Option: B
Because the first two statements are true, Eric is the youngest of the three, so the third statement must be false.