In question some statements are given followed by two conclusions I and II You have to consider the ...........

Logical Reasoning(SBI-CL) Syllogism

In question, some statements are given, followed by two conclusions I and II. You have to consider the statements to be true, even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements. Indicate your answer.

Statements :

At least some Europeans are British.

Every European is an American.

No American is an African.

Conclusions : I. All Americans being British is a possibility. II. Some Europeans can be Africans as well. III. No African is a British.

Only I follows

I and III follow

I and II follow

All I, II and III follow

None of these

Explanation:

Analytical Method:
Given Statements:
At least some Europeans are British.
Every European is an American.
No American is an African.
Given conclusions:
All Americans being British is a possibility.
Some European can be Africans as well.
No African is a British.
Checking Conclusion 1:
All Americans being British is a possibility.
Using S1 and S2, we get
At least some Europeans are British + Every European is an American = Some British are Americans.
Converse of it = Some Americans are British
Now, if some Americans are British, what are the rest of the Americans? They could be British too or
they could not be British.
Considering the first possibility, we can say that ‘All Americans being British is a possibility.’
Conclusion 1 follows here.
Checking Conclusion 2:
Some Europeans can be Africans as well
Using S2 and S3, we get
Every European is an American + No American is an African = No European is African
Clearly, there is no scenario of possibility exists between the classes ‘Europeans’ and ‘Africans’.
Therefore, C2 doesn’t follow.
Checking Conclusion 3: No African is a British
Using S1 and the conclusion derived above, we get
At least some Europeans are British + No European is African = Some British are
not Africans.
Clearly, C3 doesn’t follow either.
Option A is hence the correct answer.