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:
I. All cats are tigers.
II. All tigers are lions.
III. Some tigers are dogs.
Conclusions:
I. All cats are lions.
II. Some dogs are lions.
Option 1: Neither conclusion I nor II follows
Option 2: Both conclusions I and II follow
Option 3: Only conclusion I follows
Option 4: Only conclusion II follows
Correct Answer: Both conclusions I and II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All cats are lions – From the Venn diagram, it is evident that the circle representing cats is completely overlapped by the circle representing lions. So, from this, it can be concluded that all cats are lions. Thus, this conclusion follows.
Conclusion (II):
Some dogs are lions – From the Venn diagram, it is evident that the circles representing dogs and lions overlap and have a part of their area in common. So, from this, it can be concluded that some dogs are lions. Thus, this conclusion follows.
So, both conclusions I and II follow. Hence, the second option is correct.
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