Question 25

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 parks are schools.
No school is a college.
Conclusions:
I. No college is a school.
II. Some schools are parks.
III. No park is a college.

Solution

The above shown is the venn diagram representing the situation given in the question where 

S stands for school P stands for park and C stands for college

as the statement says all park are school so the entire smaller circle lies inside the bigger circle but no school is college so a cross is drawn in between the circles representing no connection between school and college 

now as the conclusion I says no college is school holds true for the given situation

and conclusion II says some school are park yes even this might be true as because if all parks are school than some school may also be park

now for conclusion III, no park is college also is true as, if no school is college and all park is school than no park is college holds correct 

making all the three conclusion to be true  which is shown in the above venn diagram


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