Examine the following statements regarding a set of balls.

1. All balls are black.

2. All balls are white.

3. Only some balls are black.

4. No balls are black.

Assuming that the balls can only be black or white, which of the two statements given above can both be true and both be false?

Directions: In the question 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 the 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 dolls are windows. All bottles are windows. All cars are bottles.

Conclusions:

I. All cars are windows.

II. Some cars are dolls.

III. Some windows are cars.

Directions: In the question 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 the 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 fruits are vegetables. All pens are vegetables. All vegetables are rains.

Conclusions:

I. All fruits are rains.
II. All pens are rains.
III. Some rains are vegetables. 

Directions: In the question 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 the 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 snakes are trees. Some trees are roads. All roads are mountains.

 Conclusions:  

 I. Some mountains are snakes.

II. Some roads are snakes.

III. Some mountains are trees.

Directions: In the question 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 the 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 saints are balls. All balls are bats. Some tigers are balls.

Conclusions:

I. Some bats are tigers.

II. Some saints are bats.

III. All bats are balls.

Directions: In the question 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 the 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 hills are rivers. Some rivers are deserts. All deserts are roads.

Conclusions: 

I. Some roads are rivers.
II. Some roads are hills.
III. Some deserts are hills.

Directions: In the question 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 the 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 blades are hammers. Some hammers are knives. Some knives are axes.

Conclusions: 

1. Some axes are hammers.
2. Some knives are blades.
3. Some axes are blades.

Directions: In the question 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 the 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 trees are flowers. No flower is fruit. All branches are fruits.

Conclusions:

I. Some branches are trees.

II. No fruit is tree.

III. No tree is branch.

Directions: In the question 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 the 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 tigers are lions. No cow is lion. Some camels are cows.

Conclusions:

I. Some lions are camels.

II. No camel is tiger.

III. Some tigers are cows.