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In the annual cultural festival of a university, a quiz competition was conducted, wherein all participants were given three rounds with two questions in each round. In the first round, the participants get 40 points for each correct answer and a penalty of 20 points for each incorrect answer. If the participant answers both questions correctly, a bonus of 20 points is given. In the second round, the participant gets the same points as in the first round. Additionally, if both questions are incorrect, an additional penalty of 20 points is imposed. In the last round, the participant gets 80 points for each correct answer and a penalty of 40 points for each incorrect answer.
If only two answers are incorrect in the ,whole quiz, the minimum possible score is:
From the given information, we get the following table,
In the third round, the negative mark for the incorrect answer is high.
Hence to get the minimum possible score, the two incorrect answers must be from round 3.
For all other cases, the minimum score will be greater than 120.
examples,
1)
2)
Therefore the minimum possible score is 120.
Option (A) is correct.
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