Edit: 19/12/2019 GOOD NEWS EVERYONE!
I’ve just upgraded the ships engines before you’re next delivery straight into the sun...
Wait no, that’s not it.
Unbelievably this achievement is now finally obtainable as is the completion.
So as for the solution,
In solo score attack you gain and lose points depending on the speed of your answer, get it right really quickly and score a bunch of points, take your time and get it wrong lose a few.
Since it is unlikely that you will know the answer to all 30 questions given to you, you won’t necessarily be able to deliberately select 30 incorrect answers.
As part of the achievement requirement you must answer every question so the best way of keeping your score at zero is whenever you don’t know the answer wait until the points drop before answering, that way on the off chance you guess correctly, you will only score a few points. Then it is much easier to drop your score back to zero with a wrong answer.
If you know the answer then deliberately hit a wrong answer as fast as possible to maximise your points lost to hopefully maintain zero points for most of the game.
As long as you are on zero points when the last question appears, you will either know the answer and can avoid it and the achievement will be yours, or if you don’t know you have a 75% chance of getting it wrong and voila the achievement will be yours.
To add to the confirmation of doing it correctly you should hear the AI say “I can’t help feeling like I’m being trolled” at the end.
If you’re unfortunate enough to actually guess the final answer correctly then just start again it only takes 5-10 minutes per run.
So unless you’re the unluckiest moron on the planet, constantly guessing correct answers, you should be able to force this out in under an hour.