Question : Directions: Two 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:
No astronomer is tall.
Some tall are handsome.
Conclusions:
I. Some astronomers are handsome.
II. No tall is an astronomer.
Option 1: Only conclusion II follows.
Option 2: Neither conclusion I nor II follow.
Option 3: Only conclusion I follows.
Option 4: Both conclusions I and II follow.
Correct Answer: Only conclusion II follows.
Solution : The possible Venn diagram for the given statements is as follows –
Let's analyse the conclusions -
Conclusions (I):
Some astronomers are handsome – From the above diagram, it is clear that there is no relation between astronomers and handsome. So, this conclusion does not follow.
Conclusions (II):
No tall is an astronomer – From the above diagram, we can see that the relation of no is given between astronomer and tall. So, this conclusion follows.
So, the only conclusion I follows. Hence, the first option is correct.
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