PowerSchool Aptitude Test PowerSchool Aptitude Test: Logical Reasoning 5 — Questions and Answers
Question 1: A sequence: 1, 4, 9, 16, 25, ___. What is the next number?
- 30
- 36 (Correct answer)
- 32
- 49
Correct answer: 36
The sequence is perfect squares (1², 2², 3², …); the next is 6² = 36.
Question 2: Every student who completes the orientation receives login credentials. Sam has login credentials. Which is the strongest valid conclusion?
- Sam completed the orientation
- Sam may or may not have completed the orientation (Correct answer)
- Sam was given credentials by a teacher
- Sam is a new student
Correct answer: Sam may or may not have completed the orientation
Credentials could have been assigned by other means; completing orientation is sufficient but not the only path.
Question 3: In a Venn diagram of 'Students in Drama' and 'Students in Band,' the overlap represents:
- Students in neither activity
- Students in Drama only
- Students in both Drama and Band (Correct answer)
- Students in Band only
Correct answer: Students in both Drama and Band
The overlapping region of a Venn diagram represents elements belonging to both sets simultaneously.
Question 4: A principal sends reminders only when homework completion falls below 70%. No reminder was sent this week. What follows?
- Homework completion is above 70% (Correct answer)
- No students submitted homework
- The principal forgot to send reminders
- Homework completion is exactly 70%
Correct answer: Homework completion is above 70%
By contrapositive, if no reminder was sent, completion did not fall below 70%, meaning it is at or above 70%.
Question 5: Which analogy best completes: Student is to Transcript as Employee is to ___?
- Paycheck
- Performance Review (Correct answer)
- Contract
- Badge
Correct answer: Performance Review
A transcript records a student's academic performance history just as a performance review records an employee's work performance history.
Question 6: If exactly two of the following statements are true, which pair is consistent? (P: All records are backed up. Q: Some records are not backed up. R: No records are backed up.)
- P and Q
- P and R
- Q and R (Correct answer)
- All three
Correct answer: Q and R
P and Q are contradictory; P and R are contradictory; but Q (some not backed up) and R (none backed up) can both be true if no records are backed up (R implies Q).
Question 7: A school processes 120 transfer requests per month. Processing time improved so that 15% more requests are handled each month. How many requests are now processed monthly?
- 132
- 135
- 138 (Correct answer)
- 140
Correct answer: 138
120 × 1.15 = 138 requests per month.
PowerSchool Aptitude Test PowerSchool Aptitude Test: Logical Reasoning 5
A sequence: 1, 4, 9, 16, 25, ___.
What is the next number?