Which one of the following is an acceptable assignment of toy–truck models to lines, on order from line 1 through lin...

Victoria on June 21, 2021

Hi @Ajax0815,

Happy to help!

We learn that there are seven toy-truck models: F, G, H, J, K, M, and S.

These models are assembled on seven assembly lines which are numbered consecutively 1 through 7.

This tells us that this is a linear game!

_ _ _ _ _ _ _
1 2 3 4 5 6 7

Now let's go through our conditions.

Rule 1 - F is assembled on a lower-numbered line than J

F > J

Rule 2 - M is assembled on the line numbered one lower than the line on which G is assembled

|MG|

Rule 3 - H is assembled on Line 1 or else Line 7

Rule 4 - S is assembled on Line 4

_ _ _ S _ _ _
1 2 3 4 5 6 7

H = 1 or 7

There are too many possibilities for us to efficiently map out, but we can address the question stem using the information we have outlined above!

Our two most restrictive conditions are Rules 3 and 4 which tell us that H must be assembled on Line 1 or Line 7 and that S must be assembled on Line 4.

We can eliminate answer choice (A) because H is assembled on Line 5 and we can eliminate answer choice (D) because S is assembled on Line 3.

Our next most restrictive condition is that M is assembled on the line numbered one lower than G's line, giving us an |MG| block.

We can eliminate answer choice (C) because M and G are separate by two lines.

Finally, we can eliminate answer choice (E) because F is assembled on a higher-numbered line than J, violating Rule 1.

This means that our correct answer should be answer choice (B), but let's double check and see if it meets all our conditions.

F K J S M G H
1 2 3 4 5 6 7

1) F is assembled on Line 1 which is lower than the line on which J is assembled (3).

2) M is assembled on Line 5 which is one lower than the line on which G is assembled (6).

3) H is assembled on Line 7.

4) S is assembled on Line 4.

Hope this helps! Please let us know if you have any further questions.