A set is a mathematical model for a collection of items. The maximum score that you could have received for the test is 21.
A set is a mathematical model for a collection of items; it comprises elements or members, which may be any mathematical object: numbers, symbols, points in space, lines, other geometrical structures, variables, or even other sets.
For the given question, the number of correct answers must be the same and the marks obtained should be the same. Therefore, we make sets of numbers whose sum is equal and the number is not repeated.
There exist two such sets of numbers whose sum is 21, and the numbers are not repeated in either of the set.
Hence, the maximum score that you could have received for the test is 21.
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