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 notebooks are pencils.
Some pens are notebooks.
Conclusions:
I. All pens are pencils.
II Some pencils are pens.
Option 1: Only conclusion I follows
Option 2: Both conclusions I and II follow
Option 3: Only conclusion II follows
Option 4: Neither conclusion I nor II follow
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All pens are pencils – According to the Venn diagram, the circle of pens overlaps the circle of pencils. So, some pens are pencils is true but all pens are pencils is a false conclusion.
Conclusion (II):
Some pencils are pens – According to the Venn diagram, the circle of pens overlaps the circle of pencils. So, some pens are pencils is a true conclusion.
So, only the conclusion II follows. Hence, the third option is correct.
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