Crossover Aptitude Test Crossover Aptitude Critical Thinking: Deductive Reasoning 1 — Questions and Answers
Question 1: All managers have completed leadership training. Sarah has completed leadership training. Which conclusion is valid?
- Sarah is a manager.
- Sarah may or may not be a manager. (Correct answer)
- Sarah is not a manager.
- All managers are like Sarah.
Correct answer: Sarah may or may not be a manager.
Completing leadership training is a condition of managers but others may also complete it, so Sarah's status as a manager cannot be confirmed.
Question 2: No software engineers work in the marketing department. James works in the marketing department. What can be deduced?
- James is a software engineer.
- James is not a software engineer. (Correct answer)
- James may be a software engineer.
- James works part-time.
Correct answer: James is not a software engineer.
The universal negative rule eliminates James from the software engineer category since he is in marketing.
Question 3: If a candidate scores above 80% on the aptitude test, they advance to the interview. Alex did not advance to the interview. What must be true?
- Alex scored exactly 80%.
- Alex scored above 80%.
- Alex scored 80% or below. (Correct answer)
- Alex did not take the test.
Correct answer: Alex scored 80% or below.
By modus tollens, if failing to advance implies not scoring above 80%, Alex scored 80% or below.
Question 4: All remote workers must use a VPN. Maria uses a VPN. Does this mean Maria is a remote worker?
- Yes, definitively.
- No, not necessarily. (Correct answer)
- Only if she works from home.
- Yes, if she is an employee.
Correct answer: No, not necessarily.
Using a VPN is required for remote workers but is not exclusive to them, so Maria's remote status is not confirmed.
Question 5: Some engineers are certified in Python. All Python-certified professionals qualify for the senior track. Can we conclude that some engineers qualify for the senior track?
- No
- Yes (Correct answer)
- Only if they have 5+ years experience
- Cannot be determined
Correct answer: Yes
Since some engineers are Python-certified and all Python-certified people qualify for senior track, those engineers qualify.
Question 6: If it is raining, the outdoor meeting is cancelled. The outdoor meeting was not cancelled. What conclusion follows?
- It was raining.
- It was not raining. (Correct answer)
- The meeting was held indoors.
- Rain is unlikely tomorrow.
Correct answer: It was not raining.
Modus tollens: the meeting not being cancelled means the sufficient condition (rain) did not occur.
Crossover Aptitude Test Crossover Aptitude Critical Thinking: Deductive Reasoning 1
All managers have completed leadership training.
Sarah has completed leadership training.
Which conclusion is valid?