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 astronaut is tall.
Some tall are blue.
Conclusions:
I. Some astronauts are blue.
II. No tall is an astronaut.
Option 1: Only conclusion I follows.
Option 2: Both conclusions I and II follow.
Option 3: Neither conclusion I nor II follow.
Option 4: Only conclusion II follows.
Correct Answer: Only conclusion II follows.
Solution :
According to the given statements, the Venn diagram is given below –
Let's analyse the conclusions –
Conclusion (I):
Some astronauts are blue – As shown in the Venn diagram, the circles of the astronaut and blue are independent as no relation is defined between them. So, this conclusion doesn't follow.
Conclusion (II):
No tall is an astronaut – As shown in the Venn diagram, it is clear that the relation of not between astronaut and tall is given. So, this conclusion follows.
So, only II conclusion follows. Hence, the fourth option is correct.
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