I True or False

The following are some statements to test your reasoning ability. Tell whether the conclusions after the word “Therefore” are true (T), false (F), or uncertain (U). Write your answer on the line before each statement.

1. All odd numbers are integers (整数). All even numbers are integers. Therefore, all odd numbers are even  numbers.   ____________

2. There are no dancers that aren’t slim and no singers that aren’t dancers. Therefore, all singers are slim.  ________________

3. A toothpick (牙签) is useful. Useful things are valuable. Therefore, a toothpick is valuable. ___________

4. Three pencils cost the same as two erasers. Four erasers cost the same as one ruler. Therefore, pencils are more expensive than rulers. _______________

5. Class A has a higher enrollment than Class B. Class  C has a lower enrollment than Class B. Therefore,  Class A has a lower enrollment than Class C. _____________

6. A fruit basket contains more apples than lemons. There are more lemons in the basket than oranges. Therefore, the basket contains more apples than  oranges.  ______________

 7. Taking the train across town is quicker than taking the bus. Taking the bus across town is slower than driving a car. Therefore, taking the train across town is quicker than driving a car.  _____________

 8. All the tulips in Zoe’s garden are white. All the roses in Zoe’s garden are yellow. Therefore, all the flowers in Zoe’s garden are either white or yellow. __________