Statements Some boxes are cars. Some cars are roads. Conclusions I) Some roads…

Given: Some boxes are cars. Some cars are roads.

• From 'Some boxes are cars' we can directly infer 'Some cars are boxes' because the existence of an overlap is preserved when the terms are swapped in a particular affirmative statement.

• From 'Some cars are roads' we can directly infer 'Some roads are cars' for the same reason: the particular overlap between Cars and Roads guarantees a corresponding particular overlap when terms are reversed.

• The statement 'Some roads are boxes' is not a definite conclusion from the premises because the particular cars that overlap with boxes may be different from the particular cars that overlap with roads; hence overlap between Roads and Boxes is possible but not guaranteed.

• The statement 'No box is a road' is also not a definite conclusion for the same reason: it could be true if there is no overlap between Boxes and Roads, but it could be false if there is an overlap. Therefore the premises do not determine which of these two (the particular affirmative 'Some roads are boxes' or the universal negative 'No box is a road') holds.

Note: The two statements 'Some roads are boxes' and 'No box is a road' are logical contradictories here — exactly one must be true, but the premises do not tell us which one.

Conclusion: 'Some cars are boxes' and 'Some roads are cars' definitely follow. Either 'Some roads are boxes' or 'No box is a road' must hold, but which one cannot be determined from the given premises. Therefore the correct choice is the one that states that 'Some cars are boxes' and 'Some roads are cars' follow, and that either 'Some roads are boxes' or 'No box is a road' holds.