PowerSchool Aptitude Test PowerSchool Aptitude Test: Logical Reasoning 3 — Questions and Answers
Question 1: If no student with an incomplete profile can register for exams, and Tyler cannot register for exams, what can we conclude?
- Tyler definitely has an incomplete profile
- Tyler may have an incomplete profile (Correct answer)
- Tyler's profile is complete
- Tyler is not a student
Correct answer: Tyler may have an incomplete profile
An incomplete profile is sufficient but not the only possible reason for being unable to register, so Tyler may have an incomplete profile.
Question 2: A school has 400 students. 60% are in middle school and 25% of middle schoolers are in advanced math. How many middle schoolers are in advanced math?
- 40
- 50
- 60 (Correct answer)
- 100
Correct answer: 60
400 × 0.60 = 240 middle schoolers; 240 × 0.25 = 60 in advanced math.
Question 3: Which arrangement correctly orders these from MOST to LEAST specific? (Grade Level → Student → Person → 10th Grader)
- Person → Student → Grade Level → 10th Grader
- 10th Grader → Grade Level → Student → Person (Correct answer)
- Grade Level → 10th Grader → Student → Person
- 10th Grader → Student → Grade Level → Person
Correct answer: 10th Grader → Grade Level → Student → Person
10th Grader is the most specific subset, then Grade Level (a category of students), then Student, then Person.
Question 4: A sequence: 100, 90, 81, 73, 66, ___. What is the next number?
- 60 (Correct answer)
- 59
- 58
- 61
Correct answer: 60
The differences are −10, −9, −8, −7, −6, so the next term is 66 − 6 = 60.
Question 5: Whenever a parent updates contact information, a notification is sent to the school office. The office received a notification. Which is most logical?
- A parent definitely updated contact information
- A parent may have updated contact information (Correct answer)
- The office always receives notifications
- No parent updated information
Correct answer: A parent may have updated contact information
The rule states updating contact info triggers a notification, but notifications could also come from other events.
Question 6: Which of the following is logically equivalent to 'If a record is archived, it is read-only'?
- If a record is read-only, it is archived
- If a record is not read-only, it is not archived (Correct answer)
- If a record is not archived, it is read-only
- All read-only records must be deleted
Correct answer: If a record is not read-only, it is not archived
The contrapositive of 'If P then Q' is 'If not Q then not P,' which is logically equivalent.
Question 7: Three teachers — Ann, Ben, and Cal — each teach one subject: Math, Science, or History. Ann does not teach Math. Ben teaches Science. Who teaches Math?
- Ann
- Ben
- Cal (Correct answer)
- Cannot be determined
Correct answer: Cal
Ben teaches Science, Ann cannot teach Math, so Ann teaches History and Cal must teach Math.
PowerSchool Aptitude Test PowerSchool Aptitude Test: Logical Reasoning 3
If no student with an incomplete profile can register for exams, and Tyler cannot register for exams, what can we conclude?