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:

A few daughters are not mothers.

All mothers are sisters.

No sister is a niece.

Conclusions: I. No niece is a mother. II. No daughter is a niece. III. Some mothers are not daughters. IV. Some nieces are both mothers and daughters.

Only C3 follows

Either C1 or C2 follows

Only C2 and C3 follow

All follow

None of these

Explanation:

Checking C1: No niece is a mother.
From S1 and S2,
All mothers are sisters (A) + No sister is a niece (E) = No mother is a niece or No niece is a mother.
C1 hence follows.
Checking C2: No daughter is a niece.
Clearly, S1 in which the class ‘daughter’ exists is an O type statement, we can’t derive a definite
relationship of it with any other statement.
Clearly, C2 doesn’t follow.
Checking C3: Some mothers are not daughters.
From S1,
A few daughters are not mothers.
But as conversion of an O type statement is not valid, C3 doesn’t follow either.
Checking C4: Some nieces are both mothers and daughters.
Following the logic explained C2, we can eliminate C4 as well.
Evidently, only C1 follows. Option E is hence the correct answer.