PRO Analytical — Logic (30)

All inspectors are employees. Ben is an inspector. Therefore, Ben is an ____.

If a form is unsigned, then it is invalid. If a form is invalid, it cannot be processed. A certain form was processed. What must be true?

Select the contrapositive: “If a document is classified, then it is not publicly releasable.”

Passing the exam is necessary for promotion. Which statement is logically implied?

Exactly one of A or B attended the meeting. Which can be true?

No contractors are employees. All auditors are employees. What follows?

Which is equivalent to: NOT (P OR Q)?

In logic, P → Q is false only when…

If it rains, the picnic is canceled. The picnic was not canceled. Therefore…

“Everyone on social media says this policy is perfect; therefore it must be perfect.” This is a fallacy of…

“A project is approved only if it meets safety standards.” Which implication holds?

“Electricity is required for the server to run.” What follows if there is no electricity?

Three seats in a row: A, B, C. Rules: (1) A is not next to C. (2) B is not at an end. Which order is possible (left→right)?

Exactly one of X, Y is present. If X is absent, what follows?

P iff Q is true when…

All librarians are meticulous. Some editors are meticulous. Which conclusion is valid?

If a file is encrypted, then it requires a key. Which is a valid inference?

At least one of P, Q is true. Which must be false?

“Some managers approve every travel request.” Which is equivalent?

Exactly five projects were completed this quarter. If none were canceled and two finished late, how many finished on time?

Four tasks W, X, Y, Z. Rules: W before X; Y after X; Z before W. Which order is possible (first→last)?

“Compliance with safety rules is sufficient for clearance.” Which implication holds?

Two staff, A and B. Exactly one always tells the truth. A says, “B is a liar.” What can be concluded?

All proposals that pass technical review go to financial review. This proposal did not go to financial review. Therefore…

Exactly two of the following are true: (1) P, (2) Q, (3) R. If P is false, which must be true?

“We will proceed unless costs are too high.” Which is equivalent?

Some engineers are programmers. All programmers know logic. Which must be true?

Identify the fallacy: “If someone is a nurse, they are licensed. Mira is licensed; therefore, Mira is a nurse.”

Only one of A, B, C can be selected. If A is not selected, which could be true?

Applicants must have a degree or 5 years experience (or both). Which applicant is ineligible?