Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follows from the statements. Statements: 1. Some students are listeners. 2. Some listeners are observers. 3. Many students are not observers. Conclusions: I. Some students are observers. II. Some observers are not students. III. Some observers are listeners.

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follows from the statements. Statements: 1. Some students are listeners. 2. Some listeners are observers. 3. Many students are not observers. Conclusions: I. Some students are observers. II. Some observers are not students. III. Some observers are listeners. Correct Answer Only conclusion III follows.

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

[ alt="F1 Gaurav T. 16.12.20 Pallavi D4" src="//storage.googleapis.com/tb-img/production/20/12/F1_Gaurav%20T._16.12.20_Pallavi_D4.png" style="width: 302px; height: 103px;">

Conclusions:

I. Some students are observers → False (It is possible but not definite)

II. Some observers are not students → False (It is possible but not definite)

III. Some observers are listeners → True (From Venn diagram we see it is possible)

Hence, the correct answer is Only conclusion III follows.

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