Logical Reasoning :: Logical Problems
The logic problems in this set present you with three true statements: Fact 1, Fact 2, and Fact 3. Then, you are given three more statements (labeled I, II, and III), and you must determine which of these, if any, is also a fact. One or two of the statements could be true; all of the statements could be true; or none of the statements could be true. Choose your answer based solely on the information given in the first three facts.
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If the first three statements are facts, which of the following statements must also be a fact?Fact 1: All dogs like to run. Fact 2: Some dogs like to swim. Fact 3: Some dogs look like their masters. I: All dogs who like to swim look like their masters. II: Dogs who like to swim also like to run. III: Dogs who like to run do not look like their masters. -
If the first three statements are facts, which of the following statements must also be a fact?Fact 1: Jessica has four children Fact 2: Two of the children have blue eyes and two of the children have brown eyes. Fact 3: Half of the children are girls. I: At least one girl has blue eyes. II: Two of the children are boys. III: The boys have brown eyes. -
If the first three statements are facts, which of the following statements must also be a fact?Fact 1: All drink mixes are beverages. Fact 2: All beverages are drinkable. Fact 3: Some beverages are red. I: Some drink mixes are red. II: All beverages are drink mixes. III: All red drink mixes are drinkable. -
If the first three statements are facts, which of the following statements must also be a fact?Fact 1: All chickens are birds. Fact 2: Some chickens are hens. Fact 3: Female birds lay eggs. I: All birds lay eggs. II: Some Hens are birds. III: Some chickens are not hens. -
If the first three statements are facts, which of the following statements must also be a fact?Fact 1: All hats have brims. Fact 2: There are black hats and blue hats. Fact 3: Baseball caps are hats. I: All caps have brims. II: Some baseball caps are blue. III: Baseball caps have no brims. -
If the first three statements are facts, which of the following statements must also be a fact?Fact 1: Eyeglass frames cost between $35 and $350. Fact 2: Some eyeglass frames are made of titanium. Fact 3: Some eyeglass frames are made of plastic. I: Titanium eyeglass frames cost more than plastic frames. II: Expensive eyeglass frames last longer than cheap frames. III: Only a few eyeglass frames cost less than $35. -
If the first three statements are facts, which of the following statements must also be a fact?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. 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. -
If the first three statements are facts, which of the following statements must also be a fact?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. I: Ann has a cat. II: Mary has a cat. III: Ann is lying. -
If the first three statements are facts, which of the following statements must also be a fact?Fact 1: Pictures can tell a story. Fact 2: All storybooks have pictures. Fact 3: Some storybooks have words. 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. -
If the first three statements are facts, which of the following statements must also be a fact?Fact 1: Some pens don't write. Fact 2: All blue pens write. Fact 3: Some writing utensils are pens. I: Some writing utensils don't write. II: Some writing utensils are blue. III: Some blue writing utensils don't write.
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