# Crazy minds at their utmost

Algebra Level 4

In your class test, there were $$\xi$$ questions. During the test, for each $$p$$ satisfying $$1 \leq p \leq \xi$$, $$2^{\xi -1}$$ students give unexpected answers to at least $$p$$ questions. If the total number of unexpected answers given is equal to $$2047,$$ then what was the total number of questions in the test?

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