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? (A)
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.
2.Statements:I.All flowers are nuts.
II.Some nuts are walls.
III.All chairs are walls
Conclusions:I. Some nuts are chairs
II. At least some walls are flowers (D)
A. If only conclusion I follows.
B. If only conclusion II follows.
C. If either conclusion I or II follows.
D. If neither conclusion I nor II follows.
3.Fact 1: Most stuffed toys are stuffed with beans. (D)
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.
4.Statements:I.All bulls are nets.
II.No net is a pipe.
III.All pipes are monkeys.
Conclusions:I. No monkey is a bull
II. All nets being monkeys is a possibility. (B)
A. if only conclusion I follows.
B. if only conclusion II follows.
C. if either conclusion I or II follows.
D. if neither conclusion I nor II follows.
