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:
No plate is a mug.
Some mugs are tables.
Conclusions:
I. All plates being tables is a possibility.
II. Some tables are not mugs.
Option 1: Both conclusions I and II follow
Option 2: Neither conclusion I nor II follow
Option 3: Only conclusion I follows
Option 4: Only conclusion II follows
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All plates being tables is a possibility –
It is a possibility that the circle representing plates is completely overlapped by the circle representing tables. But this is not definite. Thus, this conclusion follows.
Conclusion (II):
Some tables are not mugs –
It is a possibility that the circle representing tables is not completely overlapped by the circle representing mugs. But this is not definite. Thus, this conclusion does not follow.
So, the only conclusion I follows. Hence, the third option is correct.
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