Question : Directions: Two 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 conclusions logically follow(s) from the statements.
Statements:
Some pink are black
Some blue are pink
Conclusions:
I. All blue is black
II. All pink is black
Option 1: Only conclusion I follows
Option 2: Neither conclusion I nor II follows
Option 3: Only conclusion II follows
Option 4: Either conclusion I or II follows
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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):
All blue is black – According to the Venn diagram there is no definite relation between blue and black. Therefore, all blue are black is a false conclusion.
Conclusion (II):
All pink is black – According to the Venn diagram, some pink is black. Therefore, all pink is black is a false conclusion.
So, neither conclusion I nor conclusion II follow. Hence, the second option is correct.
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