Syllogism
Direction: In each of the question below are three statements following by two conclusions numbered I and II. You have to take the three given statement to be true even if they seem to be at variance with commonly known facts and then decided which of the given conclusion logically follows from the three statements disregarding commonly known fact.
- Statement:
Some cats are dogs.
All dogs are goats.
All goats are walls.
Conclusions:
I. Some walls are dogs.
II. Some walls are cats.
-
View Hint View Answer Discuss in Forum
All dogs are goats + All goats are walls = A + A = A = All dogs are walls. (I) Hence I follows. Some cats are dogs + All dogs are walls = 1 + A = I = Some cats are wall → conversion → Some walls are cats. (I) Hence II follows.
Correct Option: E
All dogs are goats + All goats are walls = A + A = A = All dogs are walls. (I) Hence I follows. Some cats are dogs + All dogs are walls = 1 + A = I = Some cats are wall → conversion → Some walls are cats. (I) Hence II follows.
- Statement:
Some buildings are benches.
Some sofas are benches.
Some benches are sofas.
Conclusions:
I. Some tables are sofas.
II. No table is sofa.
-
View Hint View Answer Discuss in Forum
Some sofas are benches + Some benches are tables = I + I = No conclusion. Hence I and II do not follow by combination. However, since they make a complementary E-I pair, either of the two must follow.
Correct Option: C
Some sofas are benches + Some benches are tables = I + I = No conclusion. Hence I and II do not follow by combination. However, since they make a complementary E-I pair, either of the two must follow.
- Statement:
All rats are bats.
Some bats are desks.
All desks are chairs.
Conclusions:
I. Some desks are rats.
II. Some chair are rats.
-
View Hint View Answer Discuss in Forum
All rats are bats + Some bats are desks = I + A = No conclusion Hence I and subsequently II do not follow.
Correct Option: D
All rats are bats + Some bats are desks = I + A = No conclusion Hence I and subsequently II do not follow.
- Statement:
Some roads are ponds.
All ponds are stores.
Some stores are bags.
Conclusions:
I. Some bags are ponds.
II. Some stores are roads.
-
View Hint View Answer Discuss in Forum
All ponds are stores + Some stores are bags = I + A = No conclusion Hence I does not follow. Some roads are ponds + All ponds are stores = I + A = I = Some roads are stores → conversion → Some stores are roads (I) Hence II follows.
Correct Option: B
All ponds are stores + Some stores are bags = I + A = No conclusion Hence I does not follow. Some roads are ponds + All ponds are stores = I + A = I = Some roads are stores → conversion → Some stores are roads (I) Hence II follows.
- Two statements are followed by alternatives. Mark the correct alternative that follows :
All Asians are wise.
All Chinese are Asian Therefore,
-
View Hint View Answer Discuss in Forum
Since both the Premises are Universal Affirmative (A - type) and these can be aligned by changing the order of Premises, the Conclusion should be Universal Affirmative.
All Chinese are Asians. ↔ All Asians are wise.Correct Option: C
Since both the Premises are Universal Affirmative (A - type) and these can be aligned by changing the order of Premises, the Conclusion should be Universal Affirmative.
All Chinese are Asians. ↔ All Asians are wise.
Therefore, All Chinese are wise. This is conclusion (3).
Here, it should be noted that the Conclusion given in option (1) is the implication of the derived Conclusion and hence it is also valid.
