Question : Directions: Three statements are given followed by three conclusions numbered I, II, and III. 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 elephants are fishes.
No fish is a tiger.
All deer are tigers.
Conclusions:
I. Some elephants are deer.
II. No elephant is a tiger.
III. No deer is a fish.
Option 1: Only conclusion III follows
Option 2: Both conclusions I and III follow
Option 3: Both conclusions I and II follow
Option 4: Only conclusion II follows
Correct Answer: Only conclusion III follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some elephants are deer – From the given Venn diagram, there is no definite relation between elephants and deer. Therefore, this conclusion is false.
Conclusion (II):
No elephant is a tiger – From the given Venn diagram, there is no definite relation between elephants and deer. Therefore, this conclusion is false.
Conclusion (III):
No deer is a fish – From the given Venn diagram, no tiger is a fish and the circle of deer is completely inside the circle of tiger. Therefore, no deer is a fish is the true conclusion.
So, the only conclusion III follows. Hence, the first option is correct.
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