The first question for Game 2 is a Global Could Be True question, which suggests that the best way to attack the answers is to eliminate the four wrong answers that Cannot Be True (i.e. that are impossible occurrences). So let's run through them and see if we can find four violations, leaving us with our single, correct answer.
(Note: try to do this as quickly and determinedly as possible, meaning if you encounter an answer choice that you can't eliminate straight away keep it and move on...it may well be the correct, possible answer)
Answer choice (A) can be ruled out because we know that M is always either third (if P is 1) or fifth (if P is 7).
Answer choice (B) is impossible because N is after L, so N can never got first.
Answer choice (C) is probably the trickiest wrong answer, so if you don't remove it right away you'd still be okay. Likely you'd get it down to two options, C and D, and then you could attempt to create a quick hypothetical with one to test it: if it works it's correct; if it causes a problem the other answer is correct.
(C) can be eliminated though because if O is in 5 we have just two options for L: L in 7 (which can't occur because of the L ahead of N rule), or L in 3. L in 3 forces the MTP group into spots 5-7 (since M must be either 3 or 5, connected to P), and that conflicts with the O in 5 that we already have in this situation. In other words, O in 5 with L in 3 leaves nowhere for M to go, as those are M's only two options. So O can never go fifth, and (C) is out.
Answer choice (E) can be eliminated because T must come after M, and the earliest M can go is in 3 (M is always either 3 or 5, connected to P in 1 or 7).
That leaves answer choice (D), which is the correct answer and which would allow a few possible orders:
P L M O N T S
P L M O T N S
P O M L N T S
P O M L T N S
#7 - Global
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