I was struggling with this for a while but I think it finally clicked so I am leaving this here.

take the contrapositive if you are unsure. for example

-> The students who mastered logic saw improvements in their PrepTest scores.

my initial thought the first time was Improvements -> mastering test scores and I obviously got it wrong, so I looked up some examples on YouTube that helped

think of a red object if I were to write in lawgic:

color -> red, which would read as color is sufficient for red, now if I take the contrapositive /red->/color this idea can't be right, because if there's no red there is no color doesn't makes sense. it could be blue, orange, yellow, etc. now we do the opposite: red -> color, red is sufficient for color, take the contra positive: /color -> /red, if no color then it can't be red, now this makes more sense, right, because it's either there is color or not, there can be no substitutes.

now applying this to the example:

I took improvements -> mastering test scores took the contrapositive /mastering logic -> /improve, but this can't be true, because mastering logic can be substituted what if their test scores improved because of a tutor, maybe the teacher handed out extra credit, maybe covid 2027 came out and they could use chatgpt to answer everything idk all I know is that its not plausible to say just because this one thing did not happen does that mean that you did not improve.

now for the right answer:

mastering logic -> improvements

/improvements -> /mastering logic applying that same logic that I did for the wrong answer with the substitution could improvements have a substitute either than if they did or not? no of course not stagnant? not improved. decreased? not improve its either or, which means that improvements are required on mastering logic, but mastering logic isnt the ONLY thing to improve test score.

being a color is REQUIRED for a red object, but being a red object isnt the ONLY color for the object to be. I hope this helps someone!

I can't believe I got this right :0

I've never done this before so I was excited to test it out; I got it wrong, but I want to come back at the end of the module to see if I can apply what I learned to get right next time!

I came back and it was indeed much easier to figure out!

got all three again! but man I need to get my time down. perhaps later we can learn some strategies on how to eliminate questions quicker with accuracy!

woohoo it took longer than most, but I answered it correctly