In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements. Statements: I. All coal are black. II. All black are red. Conclusions: I. All coal are red. II. All red are coal. III. No red is coal.

In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements. Statements: I. All coal are black. II. All black are red. Conclusions: I. All coal are red. II. All red are coal. III. No red is coal. Correct Answer Only I

Consider the following least possible Venn diagram,

[ alt="13Sep 2" src="//storage.googleapis.com/tb-img/production/18/07/13Sep_2.PNG" style="height:214px; width:218px">

Conclusions:

I. All coal are red → True (It is definitely true as all coal are clearly red).

II. All red are coal → False (It is possible but not definite).

III. No red is coal → False (It is definitely false as all coal are red).

Hence, only I follows.

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