Two Statements are given followed by two Conclusions Statements All cats are black Conclusion I All ...........

Logical Reasoning and Analytical Ability (CSP) Syllogism

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Two Statements are given followed by two Conclusions:

Statements:

All cats are black.

Conclusion-I:

All dogs are black.

Conclusion-II:

Some dogs are not black.

Which of the above Conclusions logically follows/follow from the two given Statements disregarding commonly known facts?

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Only Conclusion-I

Only Conclusion-II

Neither Conclusion-I nor Conclusion-II

Both Conclusions-I and Conclusion-Il

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Explanation:

Sol. Ans.(c).

Neither of the conclusions will be true for the given syllogism argument. To understand let’s have look on the following Euler/Venn diagrams. The circle represents Cats, Dogs and Black (dotted circle).

Above argument can be drawn in the two ways. In both the cases you can see that in some cases all dogs can be blacks but then in some cases it is not. Hence conclusion I not follows. Similarly ‘every dog will be black’ if the dotted circle will be congruent to the circle representing dog. So in this case conclusion II does not follow. To be a valid conclusion it should be true in every case. Hence both the conclusions are not valid.