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:
Some fruits are rabbits.
No rabbit is fox.
All foxes are cows.
Conclusions:
I. Some cows are fruits.
II. Some fruits are foxes.
Option 1: Only conclusion I follows
Option 2: Both conclusions I and II follow
Option 3: Neither conclusion I nor II follows
Option 4: Only conclusion II 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):
Some cows are fruits –
It is a possibility that the circles representing fruits and cows overlap. But this is not definite. Thus, this conclusion does not follow.
Conclusion (II):
Some fruits are foxes –
It is a possibility that the circles representing fruits and foxes overlap. But this is not definite. Thus, this conclusion does not follow.
So, neither conclusion I nor II follows . Hence, the third option is correct.
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