Thinking about Possibilities!

Logic Level 3

At the Brilliant's annual Math Competition, five members Andrew, Brian, Calvin, Daniel and Eugene, each take part in five events, namely Algebra Challenge, Number Theory Challenge, Geometry Challenge, Calculus Challenge and Logic Challenge.

In each challenge, scores of 5,4,3,2 and 1 are awarded for 1st, 2nd, 3rd, 4th and 5th, respectively. There are no ties. Andrew scores a total of \(24\) points, Calvin scores the same in each of four challenges, Daniel scores \(4\) in Algebra Challenge, and Eugene scores \(5\) in Number Theory Challenge and \(3\) in Geometry Challenge.

Surprisingly, their overall positions are in the alphabetical order of their names. There are no ties in the final standings.


Choose the correct option among the following:

  • \(\large A) \) This information is not enough to find the scores of the members in each of the challenges.

  • \(\large B) \) This information is enough to find the scores of the members in each of the challenges, and there is only one such solution.

  • \(\large C) \) This information is enough to find the scores of the members in each of the challenges, and there is more than one solution.

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