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In this question, two statements followed by four conclusions are given. You have to take the two given statements to be true even if they seem to be at variance from a commonly known fact.  Statements: (1) Some doors are mangoes. (2) All mangoes are bananas. Conclusions: (I) All bananas are mangoes. (II) All doors are bananas. (III) Some doors are bananas. (IV) Some mangoes are doors. Which of the given conclusions logically follows from the two statements, disregarding commonly known facts?

In this question, two statements followed by four conclusions are given. You have to take the two given statements to be true even if they seem to be at variance from a commonly known fact.  Statements: (1) Some doors are mangoes. (2) All mangoes are bananas. Conclusions: (I) All bananas are mangoes. (II) All doors are bananas. (III) Some doors are bananas. (IV) Some mangoes are doors. Which of the given conclusions logically follows from the two statements, disregarding commonly known facts? Correct Answer Only III and IV follows

Given,

The least possible Venn diagram for the given statements is as follows.

[ alt="F1 Shailesh Madhu 11.12.20 D4" src="//storage.googleapis.com/tb-img/production/20/12/F1_Shailesh_Madhu_11.12.20_D4.png" style="width: 217px; height: 131px;">

Conclusions:

(I) All bananas are mangoes → False (It is possible but not definite)

(II) All doors are bananas → False (It is possible but not definite)

(III) Some doors are bananas → True (As some doors are mangoes and all mangoes are bananas)

(IV) Some mangoes are doors → True ( Some doors are mangoes )

Hence,Only III and IV follows.

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