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:
Some sixes are sevens.
No seven is an eight.
Conclusions:
I. All eights are sixes.
II. No eight is a six.
Option 1: Neither conclusion I nor II follows
Option 2: Only conclusion 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 for the given statement is as follows –
Let's analyse the conclusions –
Conclusion (I):
All eights are sixes – From the above diagram, it is observed that circles of eight and sixes are independent. The diagram doesn't define any relation between them. So, this conclusion doesn't follow.
Conclusion (II):
No eight is a six – From the above diagram, it is observed that circles of eight and sixes are independent. The diagram doesn't define any relation between them. So, this conclusion doesn't follow.
So, neither conclusion I nor II follows. Hence, the first option is correct.
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