PPAER - Public and Police Aptitude and Evaluation Report Logical and Deductive Reasoning Questions and Answers 1 — Questions and Answers
Question 1: Read the following statements: 1. All police cars are equipped with sirens. 2. Any vehicle equipped with a siren is considered an emergency vehicle. 3. Some sedans are police cars. Which of the following is a valid deduction from the statements above?
- All sedans are emergency vehicles.
- Some sedans are emergency vehicles. (Correct answer)
- No sedans are emergency vehicles.
- All emergency vehicles are sedans.
Correct answer: Some sedans are emergency vehicles.
This is a syllogism, a form of deductive reasoning. From statement 3, we know 'Some sedans are police cars'. From statement 1, we know 'All police cars are equipped with sirens'. Therefore, we can deduce that 'Some sedans are equipped with sirens'. Finally, from statement 2, 'Any vehicle equipped with a siren is an emergency vehicle'. Thus, it logically follows that 'Some sedans are emergency vehicles'.
Question 2: An officer is dispatched to a residential street where several car break-ins have been reported overnight. All the targeted cars were unlocked. The officer concludes that the thief was likely an opportunist checking for unlocked doors rather than a professional using tools to force entry. What type of reasoning did the officer use?
- Analogical Reasoning
- Abductive Reasoning
- Inductive Reasoning (Correct answer)
- Deductive Reasoning
Correct answer: Inductive Reasoning
Inductive reasoning involves making a generalization based on specific observations. [5] The officer observed a pattern (all broken-into cars were unlocked) and formed a general conclusion or theory about the perpetrator's methods (opportunistic, not professional). Deductive reasoning, in contrast, starts with a general principle and applies it to a specific case. [5, 11]
Question 3: A police department policy states: 'Any officer who discharges their firearm during a pursuit must file a use-of-force report within 24 hours.' Officer Miller was involved in a pursuit but did not discharge her firearm. Which of the following statements is the most logical conclusion?
- Officer Miller must file a use-of-force report within 24 hours.
- Officer Miller may or may not need to file a use-of-force report for other reasons. (Correct answer)
- Officer Miller is not required to file any report regarding the pursuit.
- Officer Miller must file a use-of-force report, but not within 24 hours.
Correct answer: Officer Miller may or may not need to file a use-of-force report for other reasons.
The policy creates a specific condition for filing a use-of-force report (discharging a firearm). Since Officer Miller did not meet this specific condition, the policy does not require her to file a use-of-force report *based on this rule*. However, the policy does not exclude the possibility that other actions during the pursuit might require a use-of-force report. Therefore, we cannot definitively say she doesn't have to file one, only that this specific rule doesn't mandate it.
Question 4: At a crime scene, an investigator finds muddy footprints leading away from a broken window. The soil in the footprints matches the soil from a nearby construction site. The investigator concludes that the suspect may have come from or fled to the construction site. This conclusion is best described as:
- An assumption
- A logical inference (Correct answer)
- A proven fact
- A syllogism
Correct answer: A logical inference
A logical inference is a conclusion reached on the basis of evidence and reasoning. [24] The investigator used the evidence of the footprints and the matching soil to reason a likely path for the suspect. It is not a proven fact (the suspect could have gotten mud on their shoes elsewhere), nor is it a baseless assumption (it's based on evidence). A syllogism is a more formal three-part deductive argument.
Question 5: Which of the following represents a flaw in logical reasoning known as a 'hasty generalization'?
- An officer interviews three witnesses who all describe the suspect as tall, so the officer concludes the suspect is likely tall.
- An officer pulls over one driver for speeding on a specific road and concludes that everyone who uses that road is a speeder. (Correct answer)
- An officer reviews a suspect's long criminal history of theft and concludes they may be involved in a recent theft.
- An officer determines a suspect is lying because their story contradicts physical evidence found at the scene.
Correct answer: An officer pulls over one driver for speeding on a specific road and concludes that everyone who uses that road is a speeder.
A hasty generalization is a fallacy where a conclusion is drawn from a small or unrepresentative sample. [11] Concluding that all drivers on a road are speeders based on a single instance is a classic example. The other options represent reasonable conclusions based on corroborating evidence, historical data, or logical contradiction, not a generalization from a tiny sample size.
Question 6: Read the following premises: Premise 1: All members of the SWAT team must pass a rigorous physical fitness test. Premise 2: Officer Jones is a member of the SWAT team. What is the logically necessary conclusion?
- All officers who pass the fitness test are on the SWAT team.
- Some officers on the SWAT team are not physically fit.
- Officer Jones has passed the rigorous physical fitness test. (Correct answer)
- Officer Jones is the most physically fit member of the SWAT team.
Correct answer: Officer Jones has passed the rigorous physical fitness test.
This is an example of deductive reasoning. [3] Since the first premise establishes a rule for all members of a group (SWAT team) and the second premise places an individual (Officer Jones) within that group, the conclusion must apply that rule to the individual. Therefore, Officer Jones must have passed the test.
PPAER - Public and Police Aptitude and Evaluation Report Logical and Deductive Reasoning Questions and Answers 1
Read the following statements:
1.
All police cars are equipped with sirens.
2.
Any vehicle equipped with a siren is considered an emergency vehicle.
3.
Some sedans are police cars.
Which of the following is a valid deduction from the statements above?