OACP Deductive and Inductive Reasoning 5

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?

Accepted Answer

No, because this would be affirming the consequent

Answer

Yes, because the rule applies to Lee

Answer

Yes, by modus ponens

Answer

No, because inductive rules have exceptions

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:

Accepted Answer

An inductive statistical generalization

Answer

A deductive certainty

Answer

A formal logical axiom

Answer

A hypothetical syllogism

Question 3

Which of the following is a SOUND deductive argument?

Accepted Answer

All detectives write reports; Alex is a detective; Alex writes reports

Answer

All officers carry radios; Sam carries a radio; Sam is an officer

Answer

Some suspects flee; Mark fled; Mark is a suspect

Answer

Officers sometimes lie; Kim is an officer; Kim is lying

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?'

Accepted Answer

Officer Park is not on duty

Answer

Officer Park is not performing well

Answer

Response times will improve soon

Answer

Officer Park needs additional training

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:

Accepted Answer

Inductive reasoning based on historical pattern

Answer

Deductive reasoning based on law

Answer

A logical certainty

Answer

Hypothetical syllogism

Question 6

Which statement about inductive reasoning is TRUE in the context of police work?

Accepted Answer

Inductive conclusions remain open to revision as new evidence emerges

Answer

Inductive conclusions are guaranteed if enough evidence is gathered

Answer

Inductive reasoning is less useful than deductive in investigations

Answer

Inductive reasoning only applies to statistical analysis

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?

Accepted Answer

A window is broken

Answer

The window might be broken

Answer

We should check the window

Answer

The break-in was recent