# 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?