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 rabbits are white.
Some rabbits are brown.
All white are yellow.
Conclusions:
I. Some brown are yellow.
II. Some rabbits are yellow.
Option 1: Neither conclusion I nor II follows
Option 2: Only conclusion I follows
Option 3: Only conclusion II follows
Option 4: Both conclusions I and II follow
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some brown are yellow – From the Venn diagram, it is evident that there is no direct relation between brown and yellow. So, no definite relation can be drawn. Thus, this conclusion does not follow.
Conclusion (II):
Some rabbits are yellow – From the Venn diagram, it is evident that the circles representing rabbits and yellow overlap and have some parts of their area in common. So, it can be concluded that some rabbits are yellow. Thus, this conclusion follows.
So, only conclusion II follows. Hence, the third option is correct.
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