In each question below are two/three statements followed by two conclusions numbered I and II. You have to take the two/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 given statements disregarding commonly known facts.

Statements
All hills are mountains.
All mountains are rocks.

Conclusions
I. All those rocks which are mountains are also hills.
II. All hills are rocks.

Only conclusion I follows

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Only conclusion II follows

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Either conclusion I or conclusion II follows

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Neither conclusion I nor conclusion II follows

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Both conclusion I and conclusion II follow

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Solution

The correct option is E Both conclusion I and conclusion II follow
All hills are mountains.
All mountains are rocks.
$A + A \Rightarrow A$ -type of conclusion
All hills are rocks.
It is conclusion II.
Conclusion I also follows.

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Similar questions

Q. In each of the questions below am given four statements followed by four conclusions numbered I, II, Ill and IV. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements
Some stones are rocks.
All rocks are boulders.
Some boulders are mountains.
All hills are mountains.

Conclusions
I. Some stones are mountains.
II. Some hills are boulders.
III. Some boulders are stones.
IV. All mountains are hills

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

Statements
All bricks are stones.
Some stones are rocks.
All rocks are mountains.

Conclusions
I. Some mountains are stones.
II. Some mountains are bricks.
III. Some stones are bricks.

Q. In each question below are two statements followed by two conclusions numbered I and II. You have to take the two 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 given statements disregarding commonly known facts.

Statements
Some animals are plants.
All plants are rocks.

Conclusions
I. All plants are animals.
II. At least some rocks are animals.

Q. In each question below are three statements followed by two conclusions numbered I and II. 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 windows are houses.
All roads are houses.
Some houses are hills.

Conclusions
I. Some hills are windows.
II. Now hill is a window.

In each of the questions below are given three statements followed by three conclusions numbered I, II and III.

You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements
All buildings are rivers.
All rivers are jungles.
All jungles are mountains.

Conclusions
I. Some mountains are rivers.
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III. Some mountains are buildings.

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The correct option is E Both conclusion I and conclusion II followAll hills are mountains. All mountains are rocks. A+A⇒A-type of conclusion All hills are rocks. It is conclusion II. Conclusion I also follows.

The correct option is E Both conclusion I and conclusion II follow
All hills are mountains.
All mountains are rocks.
$A + A \Rightarrow A$ -type of conclusion
All hills are rocks.
It is conclusion II.
Conclusion I also follows.