Question 1026238
This is a linear Diophantine equation given by 6x + 13y = 200, where x = # of true or false questions, and y = # multiple choice questions. 

A particular solution is {{{x[0] = 16}}} and {{{y[0] = 8}}}.

All solutions are given by {{{x = x[0]+13n=16+13n}}} and {{{y=y[0]-6n = 8-6n}}}, where n is any integer.

==> There are three possible solutions:

x = 3, y = 14;
x = 16, y = 18;
x = 29, y = 2.

Note:  The solution was made possible by the fact that gcd(6,13) = 1 divides 200.