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:
All goats are black.
Some black are white.
No black is gold.
Conclusions:
I. Some goats are white.
II. Some goats being gold is a possibility.
Option 1: Only conclusion II follows
Option 2: Both conclusions I and II follow
Option 3: Only conclusion I follows
Option 4: Neither conclusion I nor 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 goats are white –
From the Venn diagram, it is evident that there is no direct relation between goats and white. So, no definite relation can be drawn. Thus, this conclusion does not follow.
Conclusion (II):
Some goats being gold is a possibility –
Since all goats are black and no black is gold, so no goats will be gold. Thus, this conclusion does not follow.
So, neither conclusion I nor II follows. Hence, the fourth option is correct.
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