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 follow(s) from the statements. Statements: All teachers are doctors. Some professors are doctors. All professors are engineers. Conclusions: I. All professors are doctors. II. Some doctors are engineers. III. Some teachers are engineers. IV. Some teachers are professors

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 follow(s) from the statements. Statements: All teachers are doctors. Some professors are doctors. All professors are engineers. Conclusions: I. All professors are doctors. II. Some doctors are engineers. III. Some teachers are engineers. IV. Some teachers are professors Correct Answer  Only conclusion II follows

Given:

Statements:

All teachers are doctors.

Some professors are doctors.

All professors are engineers.

 

The least possible diagram for the given statements is as follows

[ alt="609" src="//storage.googleapis.com/tb-img/production/22/01/609.PNG" style="width: 302px; height: 157px;">

Conclusions:

I. All professors are doctors → False (It is possible but not definite)

II. Some doctors are engineers → True (Because some professors are doctors and all professors are engineers so, some doctors are also engineers)

III. Some teachers are engineers → False (It is possible but not definite)

IV. Some teachers are professors→ False (It is possible but not definite)

Hence,  Only conclusion II follows.

[ alt="syllogism" src="//storage.googleapis.com/tb-img/production/22/01/syllogism.png" style="width: 347px; height: 372px;">  

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