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:
I. All beds are pillows.
II. No pillow is a blanket.
Conclusions:
I. Some pillows are beds.
II. No bed is a blanket.
Option 1: Neither conclusion I nor II follows
Option 2: Only conclusion II follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion I 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):
Some pillows are beds – From the Venn diagram, it is evident that some parts of the circle representing pillows lie inside the circle representing beds while some lie outside. Thus, this conclusion follows.
Conclusion (II):
No bed is a blanket – As all beds are pillows and no pillow is a blanket. So, no bed will be a blanket. Thus, this conclusion follows.
So, both conclusions I and II follow. Hence, the third option is correct.
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