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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: All footballs are crickets. All hockey are basketballs. No football is a hockey. Conclusions: I. No cricket is a basketball. II. Some footballs are basketballs. III. Some hockey being cricket is a possibility.

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: All footballs are crickets. All hockey are basketballs. No football is a hockey. Conclusions: I. No cricket is a basketball. II. Some footballs are basketballs. III. Some hockey being cricket is a possibility. Correct Answer Only III follows

Consider the following least possible Venn diagram,

[ alt="RRB OA MFT8 RRBOA 18 Aug 2018 40Q images Q21" src="//storage.googleapis.com/tb-img/production/18/09/RRB_OA_MFT8_RRBOA_18_Aug_2018_40Q_images_Q21.PNG">

Conclusions:

I. No cricket is a basketball → False (It is possible but not definite).

II. Some footballs are basketballs → False (It is possible but not definite, as Football can be part of remaining Basketball which is not Hockey).

III. Some hockey being cricket is a possibility → True (Part of Cricket which is not Football can be part of Hockey. Possibility is true as shown below)

[ alt="RRB OA MFT8 RRBOA 18 Aug 2018 40Q images Q21a" src="//storage.googleapis.com/tb-img/production/18/09/RRB_OA_MFT8_RRBOA_18_Aug_2018_40Q_images_Q21a.PNG" style="height:102px; width:246px">

Hence, Only conclusion III follows.

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