Syllogism Logical Reasoning Questions and Answers Part 3

9. Four arguments are given. Each is a set of three sentences. Decide which set has third sentence as logical conclusion of first and second sentences considering the first two to be correct.

I. Some A are B. All B are C. Some A are C.
II. All men are yellow. No yellow are women. No men are women.
III. No ring is chain. Some chains are watches. Some rings are watches.
IV. Every P has a Q. All Q are R. No R has a P.

a. I and III
b. II
c. I and II
d. III and IV

Explanation:

For a conclusion to be true, it has to be true in every possible Venn diagram. Venn diagrams for all the arguments are as follows -

10. Four arguments are given. Each is a set of three sentences. Decide which set has third sentence as logical conclusion of first and second sentences considering the first two to be correct.

I. All cats are babies. All babies are young. All cats are young.
II. Some nerds are fools. Some fools are green. Some nerds are green.
III. Cars are well-built. Well-built sustains. Cars sustain.
IV. All cyclists are fast. Some fast are wrestlers. Some cyclists are wrestlers.

a. Only I
b. II, III and IV
c. I and II
d. I and III

Explanation:

For a conclusion to be true, it has to be true in every possible Venn diagram. Venn diagrams for all the arguments are as follows -

11. Four arguments are given. Each is a set of three sentences. Decide which set has third sentence as logical conclusion of first and second sentences considering the first two to be correct.

I. God is a human. Some humans are fragile. God is fragile.
II. Some MBA are employed. All employed are aliens. Some MBA are aliens.
III. All jacks are spades. Some kings are diamonds. Some kings are spades.
IV. All humans are fragile. God is not a human. God is not fragile.

a. III and IV
b. II
c. III
d. I and IV

Explanation:

For a conclusion to be true, it has to be true in every possible Venn diagram. Venn diagrams for all the arguments are as follows -

12. Four arguments are given. Each is a set of three sentences. Decide which set has third sentence as logical conclusion of first and second sentences considering the first two to be correct.

I. No bird can fly. All animals are black. Birds and animals can fly.
II. No P is not Q. All R are P. All R are Q.
III. No nut is bolt. No bolt is screw. No nut is screw.
IV. All six are seven. No seven is eight. All six are not eight.

a. III and IV
b. II and IV
c. I and II
d. II