1.) The highlighted cell must be a Ford since it is directly below an open space.

2.) The Audi in the center lane cannot go in the fourth position or it would be tailgating the Ford. If it were in the bottom position, the fourth position could not be open, so the Audi would be tailgating. Therefore the highlighted cell must be the Audi in the center lane.

3. The highlighted cell is the only cell left in the column that could be a non-tailgated Honda. The bottom position cannot be an open space, since it can’t have a Ford below it, so whatever is in the fourth space is sure to be tailgated.

4.) The Honda tells you that every Honda is near at least two Audis. Since only one Audi is in each lane, the Honda must be adjacent to one Audi in the second lane and one in the fourth lane. the Honda itself tells you that the space to its left is not an Audi; therefore the highlighted cell must be an Audi.

5.) The highlighted cell is directly to the right of an Audi, so it can’t be a Honda. It can’t be open because there’s not a Ford directly below it. The Audi in this column is already known; therefore the highlighted cell must be a Ford.

6.) No cell on the bottom can be open because open spaces must have a Ford directly below them. The highlighted cell and the one to its right cannot be Audis either, because they are near an Audi. They cannot be Hondas either, because they can only be near the one Audi (since two Audis can’t be near each other.) So the highlighted space and the one to its right must both be Fords.

7.) Applying similar logic as step 6, the highlighted cell must also be a Ford. The only known Honda must be adjacent to one more Audi and it must be in the bottom two cells of the fourth lane. So the highlighted cell cannot be an Audi, nor can it be adjacent to two Audis in order to be a Honda, nor can it have a Ford directly below it in order to be an open space. Therefore the highlighted cell must be a Ford.

8.) If the far left lane has an open space at the top, it must have a Ford below that. If that were so, that lane could not have an Audi, since no two Audis are near each other. But every lane must have one Audi. So the far right lane must have no car in the first position. And of course, the second position has to be a Ford.

9.) The Audi in the fourth lane must be in one of the bottom two positions because Hondas are near at least two Audis. The Audi in the fifth lane cannot be near that Audi. Therefore the Audi in the fifth lane must be in the highlighted cell and the Audi in the fourth lane must be at the bottom.

10.) The Audi in lane 4 says that two of the five Audis are in the same row. No two Audis can be adjacent, and there is one per lane, so the final Audi must go in the highlighted cell.

11.) All the Audis are now known. This means the far left lane cannot have a Honda because it couldn’t be near two Audis. So according to the middle lane Audi’s clue, the far right lane does have to have a Honda. And it must go in the highlighted cell.

12.) The only lane that can have multiple Hondas is the fourth lane. It works if there are two and they are in position 2 and 4.

13.) The other spaces in the fourth lane must be Fords. All five Audis are already known; there aren’t enough for these spaces to be Hondas. They cannot be open spaces either because they are not directly above Fords.

14.) The second lane must have a Honda according to the top center clue. It must be near two Audis but not directly to the right of an Audi. Therefore it must go in the highlighted cell.

15.) The other cells in lane 2 can’t be open because they are not directly above Fords. They cannot be Audis because lane 2 already has one. They cannot be Hondas because they are not near two Audis. The top space actually is near two Audis but is directly to the right of one of them. So the remaining cells in lane 2 must be Fords.

16.) The Ford in the middle of lane 2 tells you that there are two open spaces in lane 1. An open space must be directly above a Ford, so the final three cells in lane 1 must be open, Ford, open.

TRY HENRY820’S OTHER LOGIC PUZZLES!