In each question below are two statements followed by two conclusions numbered I and II You have to take the two given statements to be true even if they seem to be at variance from known facts and then decide which of the given Conclusions logically commonly follows from the given statements disregarding commonly known facts ?
Give answer
a:If only Conclusion I follows
b:If only Conclusion II follows
c:If either Conclusion I nor II follows
d:If neither Conclusions I nor II follows
e:If both Conclusion I and II follow
Statements Some gears are wheels.All wheels are brakes.
Conclusions
I.No brake is gear.
II.At least some gears are brakes.
We use elimination to find an exception to the generality of the conclusions. Thus we prove they are not implied. The diagram below satisfies all the statements but contradicts the conclusion I. Since we found an exception, the conclusion is not true in "every" case. Thus it is not implied.
We can draw many scenarios using Venn diagrams. Conclusion II holds in every case. So, it is implied.
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