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  1. Some departments are colleges
  2. Some schools are colleges
  3. some universities are departments
  4. All colleges are universities
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1 Answers

Option 2 : Some schools are colleges

The least possible Venn diagram for the given statements will be as follows:

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I. Some departments are colleges → False ( It is possible but not definite.)

II. Some schools are colleges → True ( We know that some universities are colleges and all universities are schools. Hence, some part of school is colleges.)

III. Some universities are departments → False ( As we can see in the diagram all universities are schools and no school is a department. Hence, no university will be a department.)

I∨. All colleges are universities → False ( As we can see in the diagram some part of the college is universities and there can be a possibility of all colleges can be universities. Hence, the definite conclusion is false.)

Hence, the correct answer is "option 2".

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Related Questions

In the question below are given four statements followed by four conclusions numbered I, II, III and IV. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts. Statements: Some Train are Bus. All Bus are Branch. All Branch are Net. Some Net are Dress. Conclusions:                                                                                                     I. Some Dress are Bus.                                                  II. Some Net are Train.                                    III. Some Branch are Train.                                                                               IV. Some Dress are Train. ?
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