Final answer:
The number of students who took the training course but did not pass the test is 32.
Step-by-step explanation:
The table given represents the results of Manny's survey.
The first column represents the test results, with entries for 'Pass Test?', 'Pass', 'Did Not Pass', and 'Total'.
The second column represents whether the students took the optional training course, with entries for 32, 'A', and 47.
The third column represents those who did not take the training course, with entries for 11, 20, and 31.
Lastly, the fourth column represents the total number of students, with entries for 43, 35, and 78.
To find the number of students who took the training course but did not pass the test, we need to look at the 'Pass Test?' column and the training course column.
We can see that the entry for 'Did Not Pass' in the 'Pass Test?' column is 20, and the entry for 'A' in the training course column is 32.
Therefore, the number of students who took the training course but did not pass the test is 32.