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APMOPS 2011 Question 12

APMOPS · APMOPS 2011

Question 12

A test with a maximum mark of 10 was administered to a class. Some results are shown below. The average mark of those scoring more than 3 is 7, while the average mark of those getting below 8 is 5. Given that none scored zero, find the number of pupils in the class.

Scores 1, 2, 3, ..., 8, 9, 10 have respectively 1, 3, 6, ..., 4, 6, 3 pupils.

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