Question : Directions: Three statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
I. Some words are short.
II. Some shorts are long.
III. All long are trees.
Conclusions:
I. Some trees are short.
II. Some trees are words.
Option 1: Neither conclusion I nor II follows
Option 2: Both conclusions I and II follow
Option 3: Only conclusion II follows
Option 4: Only conclusion I follows
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some trees are short – From the Venn diagram, we can see that the two circles representing tree and shorts overlap and have a part of their area in common. So, this conclusion follows.
Conclusion (II):
Some trees are words – From the Venn diagram, we can see that there is no definite relation between trees and words. So, this conclusion does not follow.
So, the only conclusion I follows. Hence, the fourth option is correct.
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