Fact 1:Most stuffed toys are stuffed with beans. Fact 2:There are stuffed bears and stuffed tigers. Fact 3:Some chairs are stuffed with beans. If the first three statements are facts, which of the following statements must also be a fact? I:Only children's chairs are stuffed with beans. II:All stuffed tigers are stuffed with beans. III:Stuffed monkeys are not stuffed with beans.
Fact 1:Mary said, "Ann and I both have cats." Fact 2:Ann said, "I don't have a cat." Fact 3:Mary always tells the truth, but Ann sometimes lies. If the first three statements are facts, which of the following statements must also be a fact? I:Ann has a cat. II:Mary has a cat. III:Ann is lying.
If Mary always tells the truth, then both Ann and Mary have cats (statements I and II), and Ann is lying (statement III). So all the statements are facts.
Fact 1:Pictures can tell a story. Fact 2:All storybooks have pictures. Fact 3:Some storybooks have words. If the first three statements are facts, which of the following statements must also be a fact? I:Pictures can tell a story better than words can. II:The stories in storybooks are very simple. III:Some storybooks have both words and pictures.
Statements I and II are not supported by the facts. Statement III is true because if all story-books have pictures and only some have words, then some storybooks have both words and pictures.
Fact 1:Some pens don't write. Fact 2:All blue pens write. Fact 3:Some writing utensils are pens. If the first three statements are facts, which of the following statements must also be a fact? I:Some writing utensils don't write. II:Some writing utensils are blue. III:Some blue writing utensils don't write.
Since some pens don't write, some writing utensils don't write (statement I). Since there are blue pens and since pens are writing utensils, some writing utensils are blue (statement II). There is not enough information to support statement III.
All Lamels are Signots with buttons. No yellow Signots have buttons. No Lamels are yellow. If the first two statements are true, the third statement is
We know that there are Signots with buttons, or Lamels, and that there are yellow Signots, which have no buttons. Therefore, Lamels do not have buttons and cannot be yellow.
The hotel is two blocks east of the drugstore. The market is one block west of the hotel. The drugstore is west of the market. If the first two statements are true, the third statement is