Statements : Some mountains are hillocks. Some mountains are rivers. Some mountains are valleys.

Conclusions :
I. All mountains are either hillocks or rivers or valleys.
II. No valley is river.
III. Some river are valleys.

A) None follows B) Only I follows C) Only either II or III follows D) Only III follows E) None of these

Answer & Solution

Correct Answer: Option C

Since each combination of premises shall contain two particular premises, no definite conclusion can be drawn. However, II and III are statements involving the extreme terms of the last two premises and form a complementary pair. Thus, either II or III follows.

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Statements Some mountains are hillocks Some mountains are rivers Some mountains...

Statements : Some mountains are hillocks. Some mountains are rivers. Some mountains are valleys. Conclusions : I. All mountains are either hillocks or rivers or valleys. II. No valley is river. III. Some river are valleys.

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Related Questions on Logical Deduction

Statements : Some mountains are hillocks. Some mountains are rivers. Some mountains are valleys.

Conclusions :
I. All mountains are either hillocks or rivers or valleys.
II. No valley is river.
III. Some river are valleys.