Question : Directions: Two statements are given followed by two conclusions. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any follow from the given statements.
Statements:
No pencil is an eraser.
All erasers are sharpeners.
Conclusions:
I. All sharpeners are pencils.
II. All sharpeners are erasers.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Either conclusion I or conclusion II follows
Option 4: Neither conclusion I nor conclusion II follows
Correct Answer: Neither conclusion I nor conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All sharpeners are pencils – From the above Venn diagram, it is evident that there is no direct relation between pencils and sharpeners. So, no definite relation can be drawn. Thus, this conclusion does not follow.
Conclusion (II):
All sharpeners are erasers – From the Venn diagram, it is evident that some parts of the circle representing sharpeners lie outside the circle representing erasers while some lie inside. So, from this, it can be concluded that some sharpeners are erasers. Thus, this conclusion does not follow.
So, neither I nor II follows. Hence, the fourth option is correct.
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