Logical Reasoning Basic Unit 6

Fact 1: All dogs like to run.

Fact 2: Some dogs like to swim.

Fact 3: Some dogs look like their masters.

If the first three statements are facts, which of the following statements must also be a fact?

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.

• I only

• II only

• II and III only

• None of the statements is a known 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.

If the first three statements are facts, which of the following statements must also be a fact?

I: At least one girl has blue eyes.

II: Two of the children are boys.

III: The boys have brown eyes.

• I only

• II only

• II and III only

• None of the statements is a known fact.

Fact 1: All drink mixes are beverages.

Fact 2: All beverages are drinkable.

Fact 3: Some beverages are red.

If the first three statements are facts, which of the following statements must also be a fact?

I: Some drink mixes are red.

II: All beverages are drink mixes.

III: All red drink mixes are drinkable.

• I and II only

• II only

• I and III only

• III only

• None of the statements is a known fact.

Fact 1: All chickens are birds.

Fact 2: Some chickens are hens.

Fact 3: Female birds lay eggs.

If the first three statements are facts, which of the following statements must also be a fact?

I: All birds lay eggs.

II: Some Hens are birds.

III: Some chickens are not hens.

• I only

• II only

• II and III only

• None of the statements is a known fact.

Fact 1: All hats have brims.

Fact 2: There are black hats and blue hats.

Fact 3: Baseball caps are hats.

If the first three statements are facts, which of the following statements must also be a fact?

I: All caps have brims.

II: Some baseball caps are blue.

III: Baseball caps have no brims.

• I only

• II only

• II and III only

• None of the statements is a known 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.

If the first three statements are facts, which of the following statements must also be a fact?

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.

• I only

• II only

• II and III only

• None of the statements is a known 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.

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.

• I only

• II only

• II and III only

• None of the statements is a known 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.

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.

• I only

• II only

• II and III only

• 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.

• I only

• II only

• III only

• None of the statements is a known fact.

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.

• I only

• I and II only

• II and III only

• None of the statements is a known fact.