Statements:
All A are B
Some B are C
Conclusions:
(I) Some C are A.
(II) All A being C is a possibility.
a. Only conclusion I follows
b. Only conclusion II follows
c. Either conclusion I or II follows
d. Neither conclusion I nor II follows
Answer: b. Only conclusion II follows
Explanation:
For a conclusion to be true, it has to be true in every possible Venn diagram.
In a conclusion having the word 'possibility', like conclusion (II), for the conclusion to be true, we must have at least one Venn diagram that shows that the conclusion is true and at least one that shows that the conclusion is false.
18. Considering given statements as true, select a logical conclusion based on the given statements.
Statements:
Some doors are window.
No window is a house
Conclusions:
(I) All house being door is a possibility.
(II) At least some house is a window.
a. Only conclusion I follows
b. Only conclusion II follows
c. Either conclusion I or II follows
d. Neither conclusion I nor II follows
Answer: a. Only conclusion I follows
Explanation:
For a conclusion to be true, it has to be true in every possible Venn diagram.
In a conclusion having the word 'possibility', like conclusion (II), for the conclusion to be true, we must have at least one Venn diagram that shows that the conclusion is true and at least one that shows that the conclusion is false.
19. Considering given statements as true, select a logical conclusion based on the given statements.
Statements:
All elephants are rat.
No rat is a dog
All dogs are lions
Conclusions:
(I) No lion is elephant.
(II) All rats being lions is a possibility.
(III) All elephants being lions is a possibility
a. Only conclusion I and III follows
b. Only conclusion II follows
c. Only conclusion II and III follows
d. Neither conclusion I nor II follows
e. All follow
Answer: c. Only conclusion II and III follows
Explanation:
For a conclusion to be true, it has to be true in every possible Venn diagram.
In a conclusion having the word 'possibility', like conclusion (II), for the conclusion to be true, we must have at least one Venn diagram that shows that the conclusion is true and at least one that shows that the conclusion is false.
20. Considering given statements as true, select a logical conclusion based on the given statements.
Statements:
No stone is metal.
Some metals are papers.
All papers are glass.
Conclusions:
(I) Some metals being glass is a possibility.
(II) At least some glasses are metals.
(III) No stone is paper
a. Only conclusion I and II follows
b. Only conclusion II follows
c. Only conclusion II and III follows
d. Only I follows
e. All follow
Answer: b. Only conclusion II follows
Explanation:
For a conclusion to be true, it has to be true in every possible Venn diagram.
In a conclusion having the word 'possibility', like conclusion (II), for the conclusion to be true, we must have at least one Venn diagram that shows that the conclusion is true and at least one that shows that the conclusion is false.
In all possible Venn diagrams, some or all metals are glasses. So, conclusion I is invalid.
