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:
All pins are needles.
Some needles are tables.
No needle is a bin.
Conclusions:
I. No table is a bin.
II. Some pins are tables.
Option 1: Only conclusion II follows
Option 2: Neither conclusion I nor II follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion I follows
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):
No table is a bin –
From the Venn diagram, it is evident that there is no direct relation between tables and bins. So, no definite relation can be drawn. Thus, this conclusion does not follow.
Conclusion (II):
Some pins are tables –
From the Venn diagram, it is evident that there is no direct relation between tables and pins. So, no definite relation can be drawn. Thus, this conclusion does not follow.
So, neither conclusion I nor II follows. Hence, the second option is correct.
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