Question : Directions: In this question, three statements are given, followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows/follow from the statements.
Statements:
All clowns are books.
Some books are heavy.
Some heavy are trucks.
Conclusions:
I. Some books are clowns.
II. All books are heavy.
III. Some trucks are heavy.
Option 1: Only conclusions I and II follow
Option 2: Only conclusions I and III follow
Option 3: Only conclusion I follows
Option 4: None of the conclusions follow
Correct Answer: Only conclusions I and III follow
Solution :
The possible Venn diagram, according to the given statements is as follows –
Conclusion I:
Some books are clowns – From the above diagram, we can see, that some parts of the circle of books are inside the clown and some parts are outside the clown. Therefore, some books are clowns follows.
Conclusion II:
All books are heavy – From the above diagram, we can see that only some books are heavy not all. Therefore, this conclusion does not follow.
Conclusion III:
Some trucks are heavy – From the above diagram, and given statements some heavy are trucks. So, the opposite also applies. Therefore, this conclusion follows.
So, only conclusions I and III follow. Hence, the second option is correct.
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