You are a new Math 102 professor in a university class of 88 students and would like to learn their grades from previous semester to know your students better and put a note of it to get an idea how good they are because the electronic system is broken right now.
But you need the precise grades from the last semester class Math 101, which could be integers between 0 to 100. You want to ask the least number of questions not to bother your students somehow or to show off, who knows... But you can ask only one kind of question:
"How many people got x,y,z... points from the last semester math class, raise your hand please?"
and take notes of the students accordingly whoever lift his/her hands. x,y,z,... could be any number of points/grades. such as;
"How many people got 0,15,30,32,38 points from the last semester math class, raise your hand please?"
What is the least number of questions you can ask to guarantee to know every single student grades in the class?