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 mobiles are land.
II. Some land is wide.
III. All wide are tall.
Conclusions:
I. Some mobiles are tall.
II. All tall are wide.
Option 1: Neither conclusion I nor II follows
Option 2: Only conclusion I follows
Option 3: Only conclusion II follows
Option 4: Both conclusions I and II follow
Correct Answer: Neither conclusion I nor II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some mobiles are tall – From the Venn diagram, we can see that there is no direct relation between mobile and tall. So, this conclusion does not follow.
Conclusion (II):
All tall are wide – From the Venn diagram, it is evident that some parts of the circle representing tall lie inside the circle representing wide while some lie outside. So, this conclusion does not follow.
So, neither conclusion I nor II follows. Hence, the first option is correct.
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