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.The hotel is two blocks east of the drugstore.
2. The market is one block west of the hotel.
3. The drugstore is west of the market.
If the first two statements are true, the third statement is
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The market is one block west of the hotel. The drugstore is two blocks west of the hotel.
Correct Option: A
The market is one block west of the hotel. The drugstore is two blocks west of the hotel, so the drugstore is west of the market.
- 1. All Camels are Signots with buttons.
2. No yellow Signots have buttons.
3. No Camels are yellow.
If the first two statements are true, the third statement is
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We know that there are Signots with buttons, or Camels, and that there are yellow Signots, which have no buttons.
Correct Option: A
We know that there are Signots with buttons, or Camels, and that there are yellow Signots, which have no buttons. Therefore, Camels do not have buttons and cannot be yellow.
- 1. Taking the train across town is quicker than taking the bus.
2. Taking the bus across town is slower than driving a car.
3. Taking the train across town is quicker than driving a car.
If the first two statements are true, the third statement is
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Both the car and the train are quicker than the bus, but there is no way to make a comparison between the train and the car.
Correct Option: C
Both the car and the train are quicker than the bus, but there is no way to make a comparison between the train and the car.
- 1. Middle-town is north of Centiliter.
2. Centerville is east of Pen-field.
3. Pen-field is northwest of Middle-town.
If the first two statements are true, the third statement is
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Because the first two statements are true, Pen-field is west of Centerville and southwest of Middle-town.
Correct Option: B
Because the first two statements are true, Penfield is west of Centerville and southwest of Middletown. Therefore, the third statement is false.
- 1. Martina is sitting in the desk behind Jerome.
2. Jerome is sitting in the desk behind Bryant.
3. Bryant is sitting in the desk behind Martina.
If the first two statements are true, the third statement is
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Given the information in the first two statements, Bryant is sitting in front of both Jerome and Martina.
Correct Option: B
Given the information in the first two statements, Bryant is sitting in front of both Jerome and Martina, so the third statement must be false.