Question : Directions: In the following question below, some statements are followed by some conclusions. Taking the given statements to be true, even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusions logically follows from the given statements. Statements: I. Some water is white. II. Some fishes are water. Conclusions: I. All fishes are water. II. Some white are fishes.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Both conclusion follow
Option 4: Neither conclusion I nor conclusion II follows
Correct Answer: Neither conclusion I nor conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): All fishes are water – From the Venn diagram, we can see that the two circles representing fishes and water overlap and have a part of their area in common. Therefore some fishes are water is true but all fishes are water is a false conclusion. Conclusion (II): Some whites are fishes – From the Venn diagram, there is no definite relation between whites and fishes. So, this conclusion does not follow.
So, neither conclusion I nor conclusion II follows. Hence, the fourth option is correct.
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