Statements: All windows are doors. No door is wall.
Conclusions:
No window is wall.
No wall is door.
Options
A. Only conclusion I follows
B. Only conclusion II follows
C. Either I or II follows
D. Neither I nor II follows
E. Both I and II follow
Correct Answer
Both I and II follow
Explanation
Since both the premises are universal and one premise is negative, the conclusion must be universal negative. Also, the conclusion should not contain the middle term. So, I follows. However, II is the converse of the second premise and thus it also holds,
Logical Deduction problems
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1. Statements: Some engineers are fools. Anand is an engineer.
Since the middle term 'engineer' is not distributed even once in the premises, no definite conclusion follows. However, I is the converse of the first premise and thus it holds.
2. Statements: Bureaucrats marry only intelligent girls. Tanya is very intelligent.
Since the middle term 'chalks' is not distributed even once in the premises, no definite conclusion follows. However, II is the converse of the first premise and so it holds.
4. Statements: All educated people read newspapers. Rahul does not read newspaper.
Conclusions:
Rahul is not educated.
Reading newspaper is not essential to be educated.
Since both the premises are universal and one premise is negative, the conclusion must be universal negative and should not contain the middle term. So, only I follows.
5. Statements: Some men are educated. Educated persons prefer small families.
As discussed above, the conclusion must be particular negative and should not contain the middle term. So, it follows that 'Some books are not pencils'. However, I and II involve only the extreme terms and form a complementary pair. Thus, either I or II follows.
9. Statements: All men are married. Some men are educated.
Since one premise is particular, the conclusion must be particular and should not contain the middle term. So, I follows. II is the converse of I and thus it also holds.
10. Statements: All tubes are handles. All cups are handles.
Both the premises are A type propositions. So, in either, the middle term 'handles' forming the predicate is not distributed. Since the middle term is not distributed even once in the premises, no definite conclusion follows