List of top Atmospheric Science Questions on Set Theory

Consider the following statements about matrix:
A. If A is an orthogonal matrix, then $|A|=1$
B. The inverse of an orthogonal matrix is non-orthogonal.
C. The transpose of an orthogonal matrix is orthogonal.
D. If A and B are two orthogonal matrix, then AB is non-orthogonal. Choose the correct answer from the options given below:
In a sports event of football and basketball, 132 students registered to play football and 93 students registered in basketball. If the total number of students registered in the event is 200, then the number of students registered in both the games is: