(Q 1 - 5) 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.


1) 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.

a. II only
b. I and III only
c. II and III only
d. None of the statements is a known fact.

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2) 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.

a. I only
b. II only
c. I, II, and III
d. None of the statements is a known fact.

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3) 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. Hens are birds.
III. Some chickens are not hens.

a. II only
b. II and III only
c. I, II, and III
d. None of the statements is a known fact.

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4) 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.

a. I only
b. II only
c. II and III only
d. None of the statements is a known fact.

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5) 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.

a. I only
b. II only
c. III only
d. None of the statements is a known fact.

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