In a class of 100 student, 45 students read Physics, 52 student read Chemistry and 15 students read both the subjects. Find the number of students who study neither Physics nor Chemistry.
Let's first find the number of students who study either Physics or Chemistry or both.
Total number of students = 100
Number of students who read Physics = 45
Number of students who read Chemistry = 52
Number of students who read both Physics and Chemistry = 15
Number of students who study Physics or Chemistry or both = Number of students who study Physics + Number of students who study Chemistry - Number of students who study both
= 45 + 52 - 15
= 82
Therefore, the number of students who study neither Physics nor Chemistry = Total number of students - Number of students who study Physics or Chemistry or both
= 100 - 82
= 18
So, 18 students study neither Physics nor Chemistry.