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Syllogism

Question

In the question below there are three statements followed by three conclusions I, II and III. You have to take the three given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the three statements disregarding commonly known facts.

Statements:

All Apples are Oranges.

Some Apples are Mangoes.

All Mangoes are Bananas.

Conclusions:

I. Some Apples are Bananas.

II. No Orange is Mango.

III. Some Oranges are Bananas.

A Only conclusions I and II follow Correct Answer Incorrect Answer
B Only conclusions I and III follow Correct Answer Incorrect Answer
C Only conclusions II and III follow Correct Answer Incorrect Answer
D Only conclusion I follows Correct Answer Incorrect Answer
E All the conclusions follow Correct Answer Incorrect Answer

Solution

Some Apples are Mangoes (I) + All Mangoes are Bananas (A) → Some Apples are Bananas (I). Hence conclusion I follows. All Apples are Oranges (A) → conversion → Some Oranges are Apples (I) + Some Apples are Mangoes (I) → No conclusion. Hence conclusion II does not follow. Some Apples are Mangoes (I) → conversion → Some Mangoes are Apples (I) + All Apples are Oranges (A) → Some Mangoes are Oranges (I) → conversion → Some Oranges are Mangoes (I) + All Mangoes are Bananas (A) → Some Oranges are Bananas (I). Hence conclusion III follows.

Question

Statements:

All Industries are Factories.

Only a few Factories are Unit.

20% Unit are Warehouse.

Conclusions:

I. All Unit can be Industries.

II. A few Warehouse are Industries.

III. A few Industries are Unit.

A Only conclusions I and II follow Correct Answer Incorrect Answer
B Only conclusions I and III follow Correct Answer Incorrect Answer
C Only conclusions II and III follow Correct Answer Incorrect Answer
D Only conclusion I follows Correct Answer Incorrect Answer
E All the conclusions follow Correct Answer Incorrect Answer

Solution

All Industries are Factories (A) + Only a few Factories are Unit (I) → Probable conclusion → All Unit can be Industries (A). Hence conclusion I follows but neither conclusion II nor III follows.

Question

Statements:

Only Film are Picture.

A few Film are Movie.

All Movie are Serial.

Conclusions:

I. Some Serial can be Picture.

II. No Picture is Movie.

III. All Film can never be Serial.

A Only conclusions I and II follow Correct Answer Incorrect Answer
B Only conclusions I and III follow Correct Answer Incorrect Answer
C Only conclusions II and III follow Correct Answer Incorrect Answer
D Only conclusion I follows Correct Answer Incorrect Answer
E All the conclusions follow Correct Answer Incorrect Answer

Solution

Only Film are Picture → All Smile are Film (A) and Picture cannot have any positive relation with anyone. Hence conclusion I does not follow but conclusion II follows. A few Film are Movie (I) + All Movie are Serial (A) → Some Film are Serial (I) → Probable conclusion → All Film can never be Serial (A). Hence conclusion III follows.

Question

Statements:

No Almirah is Cupboard.

All Chair is Rack.

No Rack is Cupboard.

Conclusion:

I. No Chair is Cupboard.

II. Some Rack being Almirah is a possibility.

III. Some Almirah not being Chair is a possibility.

A Only conclusion III follows Correct Answer Incorrect Answer
B Only conclusion I and conclusion II follow. Correct Answer Incorrect Answer
C Only conclusion I follows Correct Answer Incorrect Answer
D Only conclusion II and conclusion III follow. Correct Answer Incorrect Answer
E All of the conclusions follow Correct Answer Incorrect Answer

Solution

All Chair is Rack (A) + No Rack is Cupboard (E) → No Chair is Cupboard (E). Hence conclusion I follows. No Almirah is Cupboard (E) + No Cupboard is Rack (E) → Probable conclusion → Some Rack may be Almirah (I). Hence conclusion II follows. No Almirah is Cupboard (E) + No Cupboard is Chair (E) → Probable conclusion → Some Almirah may not be Chair (I). Hence conclusion III follows.

Question

Statements:

All teams are groups

Only a few groups are players

All umpires are groups

Conclusions:

I. Few umpires are players

II. All teams are umpires

III. All players is being groups is a possibility.

A Only conclusion II follows Correct Answer Incorrect Answer
B Only conclusion I and conclusion II follow. Correct Answer Incorrect Answer
C Only conclusion III follows Correct Answer Incorrect Answer
D Only conclusion II and conclusion III follow. Correct Answer Incorrect Answer
E All of the conclusions follow Correct Answer Incorrect Answer

Solution

All umpires are groups (A) + Some groups are players (I) → No conclusion. Hence conclusion I does not follow. All teams are groups (A) + [All umpires are groups (A) → Conversion →] Some groups are umpires (I) → No conclusion. Hence conclusion II does not follow. Only a few groups are players → Probable conclusion → All players may be groups (A). Hence conclusion III follows.

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