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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 statements. Statements: All plums are pomegranates. Some plums are lemons. Conclusions: I. Some pomegranates are lemons. II. No lemon is a pomegranate. III. Some pomegranates are plums.

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 statements. Statements: All plums are pomegranates. Some plums are lemons. Conclusions: I. Some pomegranates are lemons. II. No lemon is a pomegranate. III. Some pomegranates are plums. Correct Answer Only conclusions I and III follow

Given,

Statements:

All plums are pomegranates.

Some plums are lemons.

Conclusions:

I. Some pomegranates are lemons.

II. No lemon is a pomegranate.

III. Some pomegranates are plums.

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

[ alt="F2 Rishabh 05-01-21 Savita D69" src="//storage.googleapis.com/tb-img/production/21/01/F2_%20Rishabh_05-01-21_Savita_D69.png" style="width: 213px; height: 99px;">

Conclusions:

I) Some pomegranates are lemons. → True (as, all plums are pomegranates and some plums are lemons.)

II) No lemon is a pomegranate → False (as, all plums are pomegranates and some plums are lemons.)

III) Some pomegranates are plums → True  (all plums are pomegranates)

Hence, the correct answer is Only conclusions I and III follow.

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