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Two statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statement Statements : No tree is a plum. All pomegranates are trees. Conclusions : I. No pomegranate is a plum. II. No plum is a tree. III. Some trees are pomegranates.

Two statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statement Statements : No tree is a plum. All pomegranates are trees. Conclusions : I. No pomegranate is a plum. II. No plum is a tree. III. Some trees are pomegranates. Correct Answer All of the conclusions follow

The least possible Venn diagram for the statements is as below:

[ alt="F7 Prashant TTP 15-1-2021 Swati D44" src="//storage.googleapis.com/tb-img/production/21/01/F7_Prashant%20TTP_15-1-2021_Swati_D44.png" style="width: 377px; height: 146px;">

Conclusions:

I. No pomegranate is a plum → True (It is true as "all pomegranate are tree" and "no tree is a plum" so no pomegranate is a plum)

II. No plum is a tree → True (It is true as "no tree is a plum" so plum cannot be a tree)

III. Some trees are pomegranate → True (It is true as "all pomegranates are trees" so some trees are definitely pomegranate)

Hence, the correct answer is "All the conclusions follow".

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