At TechCorp, any department that implements Cloud System X must undergo a mandatory quarterly security audit. Every department undergoing a quarterly security audit is prohibited from using Legacy Software Y. Last year, the Financial Analytics division at TechCorp was authorized to use Legacy Software Y throughout all four quarters. If the statements above are true, which of the following must also be true regarding TechCorp last year?
- The Financial Analytics division did not implement Cloud System X during any quarter last year.Answer
- BThe Financial Analytics division was the only department at TechCorp authorized to use Legacy Software Y last year.
- CAny department at TechCorp that did not implement Cloud System X last year was authorized to use Legacy Software Y.
- DThe Financial Analytics division suffered no cybersecurity breaches while using Legacy Software Y last year.
- EIf a department did not undergo a quarterly security audit last year, it was required to use Legacy Software Y.
Answer
The Financial Analytics division did not implement Cloud System X during any quarter last year.
The correct option stating that the Financial Analytics division did not implement Cloud System X during any quarter last year is logically necessary. From the premises, implementing Cloud System X requires a quarterly security audit, which in turn forbids using Legacy Software Y. By contrapositive logic, any department using Legacy Software Y cannot undergo a quarterly security audit and therefore cannot implement Cloud System X.
Step-by-Step Solution
Key Concept
Conditional Logic Chains and Contrapositives