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On a math contest, the short answer part composed of 8 problems has this scoring system:...

On a math contest, the short answer part composed of 8 problems has this scoring system: 4 marks for each correct answer and no mark for an incorrect answer. There are 6 problems in the problem solving part, with this scoring scheme: 7 marks for each correct answer and no mark for an incorrect answer. If there are 400 students, participating in the contest, at least how many students receive the same mark?
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