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:
All subjects are tough.
No tough is easy.
Conclusions:
I. Some subjects are easy.
II. Some easy are tough.
Option 1: Only conclusion I follows
Option 2: Neither conclusion I nor II follows
Option 3: Only conclusion II follows
Option 4: Both conclusions I and II follow
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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 subjects are easy – From the Venn diagram, it is evident that all subjects are tough and no tough is easy. So, from this, it can be concluded that no subject is easy. Thus, this conclusion does not follow.
Conclusion(II):
Some easy are tough – From the Venn diagram, it is evident that there is a negative relation between easy and tough. So, from this, it can be concluded that no easy is tough. Thus, this conclusion does not follow.
So, neither Conclusion I nor Conclusion II follows. Hence, the second option is correct.
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