If \(S_1\) is total number of modules defined in the program architecture,…
2016
If \(S_1\) is total number of modules defined in the program architecture, \(S_3\) is the number of modules whose correct function depends on prior processing then the number of modules not dependent on prior processing is :
- A.
\(1 + \frac {s_3} {s_1}\) - B.
\(1 - \frac {s_3} {s_1}\) - C.
\(1 + \frac {s_1} {s_3}\) - D.
\(1 - \frac {s_1} {s_3}\)
Attempted by 201 students.
Show answer & explanation
Correct answer: B
Solution: Interpret the variables and derive the required expression.
Definitions:
S1 is the total number of modules.
S3 is the number of modules whose correct function depends on prior processing.
Derivation:
Absolute number of modules not dependent on prior processing = S1 - S3.
If the question asks for the proportion (fraction) of modules not dependent, divide by the total: (S1 - S3) / S1 = 1 - S3/S1.
Conclusion: The expression 1 - S3/S1 gives the fraction of modules that are not dependent on prior processing. If the absolute count is required instead, use S1 - S3.
Note: The variables must satisfy S1 > 0 and 0 ≤ S3 ≤ S1.
A video solution is available for this question — log in and enroll to watch it.