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228 Syllogism
Answer with Solution
Concept Applicator
1. (a) Since both the premises are universal and 4. (e) ‘Every’ is equivalent to ‘All’. Thus, since both
affirmative, the conclusion must be universal the premises are universal and affirmative, the
affirmative. However, conclusion II, being an A-type conclusion must be universal affirmative and should
proposition, distributes the term ‘goats’. Since not contain the middle term. So, I follows. II is the
the term ‘goats’ is distributed in II, ithout being converse of the second premise and thus it also
distributed in any of the premises, so conclusion II holds.
cannot follow. Thus , only I follows.
Venn Diagram : In experienced
Cat
Students
Dog
Ministers
Man
5. (c) Since the middle term ‘tigers’ is not distributed
Hence , Only I follows. even once in the premises, no definite conclusion
2. (b) Since both the premises are universal and follows. However, I and II involve only the extreme
affirmative, the conclusion must be universal terms and form a complementary pair. So, either I or
affirmative and should not contain the middle term. II follows.
So, it follows that ‘All pens are houses’. II is the
converse of this conclusion and so it holds. Since the Tigers Tigers
term ‘houses’. II is the converse of this conclusion
and so it holds. Since the term ‘houses’ is distributed Horses or Horses
in I without being distributed in any of the premises,
so I does not follow.
Ven Diagram:
Jungles Jungles
6. (b) Since the middle term ‘tall’ is not distributed even
once in the premises, no definite conclusion follows.
R P However, II is the converse of the second premise
and so it holds.
H
Tall Tall
3. (b) Since the middle term ‘chalks’ is not distributed Hens or Hens
even once in the premises, no definite conclusion
follows. However, II is the converse of the first
premise and so it holds.
Birds Birds
chalks chalks 7. (e) Since one premise is particular, the conclusion
must be particular and should not contain the middle
p chairs or pen term. So, II follows. I is the converse of II and so it
chairs
also holds.