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 of the conclusions logically follow(s) from the statements.
Statements:
Some Blankets are Bedsheets.
Some Bedsheets are Pillows.
Conclusions:
I. Some Blankets are Pillows.
II. All Bedsheets can never be Pillows.
Option 1: Only conclusion II follows
Option 2: Only conclusion I follows
Option 3: Both conclusions I and II follow
Option 4: Neither conclusion I nor II follow
Correct Answer: Neither conclusion I nor II follow
Solution :
According to the given statements, the Venn diagram is given below –
Let's analyse the conclusions –
Conclusion (I):
Some Blankets are Pillows – From the above diagram, it is clear that circles of blankets and pillows are independent as the diagram does not define any relation between them. So, this conclusion doesn't follow.
Conclusion (II):
All Bedsheets can never be Pillows – From the above diagram, it is clear that some bedsheets are pillows. There is a possibility that all bedsheets can be pillows and we can't say never from any positive statement. So, this conclusion doesn't follow.
So, neither conclusion I nor II follows. Hence, the fourth option is correct.
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