# Syllogism Logical Reasoning Questions and Answers Part 4

13. Six statements are given. Below them sets of three statements are given. Decide which set has third sentence as logical conclusion of first and second sentences considering the first two statements to be correct.

(A) All apples are pears.
(B) Some pears are mangoes.
(C) Some mangoes are not apples.
(D) All pears are apples.
(E) No mango is a pear.
(F) No apples are mangoes.

a. ABF
b. FDE
c. BCF
d. EFD

Explanation:

For a conclusion to be true, it has to be true in every possible Venn diagram. Venn diagrams for Option b is as shown -

14. Six statements are given. Below them sets of three statements are given. Decide which set has third sentence as logical conclusion of first and second sentences considering the first two statements to be correct.

(A) Some cleaners are janitors.
(B) All cleaners are sweeper.
(C) No sweeper is cleaner.
(D) Some janitors are not cleaner.
(E) Some sweepers are not janitors.
(F) Some cleaners are janitors.

a. BDE
b. CEF
c. FCD
d. ABE

Explanation:

For a conclusion to be true, it has to be true in every possible Venn diagram. Venn diagrams for Option d is as shown -

15. Six statements are given. Below them sets of three statements are given. Decide which set has third sentence as logical conclusion of first and second sentences considering the first two statements to be correct.

(A) No brother is a duck.
(B) No rabbit is hen.
(C) Some ducks like to play.
(D) Some ducks are rabbits.
(E) Some hen are ducks.
(F) All rabbits like to play.

a. FEB
b. FDC
c. EDB
d. BED

Explanation:

For a conclusion to be true, it has to be true in every possible Venn diagram. Venn diagrams for Option b is as shown -

16. Six statements are given. Below them sets of three statements are given. Decide which set has third sentence as logical conclusion of first and second sentences considering the first two statements to be correct.

(A) No cake is sweet.
(B) All candy are sweet.
(C) All onions are candy.
(D) No onion is a cake.
(E) No cake is a candy.
(F) Onions are sweet.

a. FDA
b. CEF
c. ABE
d. EFD