OACP Deductive and Inductive Reasoning 5 — Questions and Answers
Question 1: A recruiter reviews OACP test scores and finds that candidates who performed well on logic sections always passed the interview. Candidate Lee passed the interview. Can we conclude Lee performed well on logic?
- Yes, because the rule applies to Lee
- No, because this would be affirming the consequent (Correct answer)
- Yes, by modus ponens
- No, because inductive rules have exceptions
Correct answer: No, because this would be affirming the consequent
Inferring the cause from the effect commits the fallacy of affirming the consequent — other reasons could explain passing.
Question 2: A police board reviews data from 30 cities and concludes that body cameras reduce complaints by an average of 40%. This conclusion is best classified as:
- A deductive certainty
- An inductive statistical generalization (Correct answer)
- A formal logical axiom
- A hypothetical syllogism
Correct answer: An inductive statistical generalization
Aggregating data across multiple observations to form a general claim is a statistical inductive generalization.
Question 3: Which of the following is a SOUND deductive argument?
- All officers carry radios; Sam carries a radio; Sam is an officer
- All detectives write reports; Alex is a detective; Alex writes reports (Correct answer)
- Some suspects flee; Mark fled; Mark is a suspect
- Officers sometimes lie; Kim is an officer; Kim is lying
Correct answer: All detectives write reports; Alex is a detective; Alex writes reports
A sound argument is both valid (correct form) and has true premises — only option B satisfies both conditions.
Question 4: During an OACP verbal reasoning section, you read: 'Whenever Officer Park is on duty, response times improve. Response times have not improved. What can you conclude?'
- Officer Park is not performing well
- Officer Park is not on duty (Correct answer)
- Response times will improve soon
- Officer Park needs additional training
Correct answer: Officer Park is not on duty
This is modus tollens: if P then Q; not Q; therefore not P — Officer Park being on duty would have caused improvement.
Question 5: An analyst examining crime trends states: 'We've seen increases in retail theft every December for 12 consecutive years, so it will likely increase again this December.' This is:
- Deductive reasoning based on law
- Inductive reasoning based on historical pattern (Correct answer)
- A logical certainty
- Hypothetical syllogism
Correct answer: Inductive reasoning based on historical pattern
Projecting a future event based on a recurring historical pattern is classic inductive reasoning.
Question 6: Which statement about inductive reasoning is TRUE in the context of police work?
- Inductive conclusions are guaranteed if enough evidence is gathered
- Inductive conclusions remain open to revision as new evidence emerges (Correct answer)
- Inductive reasoning is less useful than deductive in investigations
- Inductive reasoning only applies to statistical analysis
Correct answer: Inductive conclusions remain open to revision as new evidence emerges
Inductive conclusions are probabilistic and should always be revisited when new evidence contradicts the pattern.
Question 7: An officer writes: 'If the alarm was triggered, a window must be broken. The alarm was triggered.' What is the logically necessary next step in this deductive argument?
- The window might be broken
- We should check the window
- A window is broken (Correct answer)
- The break-in was recent
Correct answer: A window is broken
Modus ponens: if P then Q; P is true; therefore Q must be true — the window is broken.
OACP Deductive and Inductive Reasoning 5
A recruiter reviews OACP test scores and finds that candidates who performed well on logic sections always passed the interview.
Candidate Lee passed the interview.
Can we conclude Lee performed well on logic?