How many questions can I answer incorrectly?

Algebra Level 2

I am given a list with 5 questions. If I answer 1 question in the list incorrectly, 5 more questions would be added to my list. If I want to complete no more than 100 questions, how many questions (maximum) can I answer incorrectly?

100 20 19 18

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1 solution

Shreyas Jha
May 21, 2021

If I want to do no more than 100 questions wrong, let questions I can answer incorrectly be x x . then, number of questions done: 100 = 5 ( x + 1 ) 100 = 5(x+1) . Solving for x x results in 19. Thus, maximum of 19 questions can be answered incorrectly.

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