Question
Download Solution PDFDirection: In the question below are given two statements followed by two conclusions numbered I and II. 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.
Statement:
Some schools are houses.
Some colleges are schools.
Conclusion:
I. Some colleges are houses.
II. Some colleges are not houses.Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFAll + No and Some + Some not are not complementary pairs.
In case of Some + Some not, the following condition is not fulfilled:
The term Either or denotes that if one condition is true then the second condition is would be automatically false.
But in case of Some and some not, both the conditions can be true at a time.
Conditions of Either-or case:
1. The elements should be the same in both the statements.
2. Both the conclusions should be false individually.
3. One conclusion should be positive and one conclusion should be negative (Complementary pair).
The two complementary pairs are:
1) All + Some not
2) No + Some
The least possible diagram for the given statements is as follows:
Conclusions:
I. Some colleges are houses → False (There is no direct relation given between colleges and houses so it can be possible but not definite, hence, false)
II. Some colleges are not houses → False (There is no direct relation given between colleges and houses so it can be possible but not definite, hence, false)
Hence, the correct answer is "Neither I nor II follows"
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