California State Jobs Exam Logical Reasoning 2 — Questions and Answers
Question 1: All state employees must complete ethics training. Maria is a state employee. Which conclusion logically follows?
- Maria has already completed ethics training
- Maria must complete ethics training (Correct answer)
- Maria wants to complete ethics training
- Maria is exempt from ethics training
Correct answer: Maria must complete ethics training
Valid syllogism: All A must do B; Maria is A; therefore Maria must do B.
Major premise: All state employees must complete ethics training. Minor premise: Maria is a state employee. Conclusion: Maria must complete ethics training. Note we cannot conclude she has completed it, only that she must.
Question 2: If a CalHR applicant scores below 70, they are disqualified. Jones was not disqualified. What can you conclude?
- Jones scored exactly 70
- Jones scored 70 or above (Correct answer)
- Jones did not take the exam
- Jones received a waiver
Correct answer: Jones scored 70 or above
By contrapositive: if not disqualified, then did not score below 70, meaning scored 70 or above.
Original: If score < 70, then disqualified. Contrapositive: If not disqualified, then score >= 70. Since Jones was not disqualified, Jones scored 70 or above.
Question 3: Alex sits left of Beth. Chris sits right of Beth. Dana sits left of Alex. What is the order from left to right?
- Dana, Alex, Beth, Chris (Correct answer)
- Alex, Dana, Beth, Chris
- Dana, Beth, Alex, Chris
- Chris, Beth, Alex, Dana
Correct answer: Dana, Alex, Beth, Chris
From clues: Dana, Alex, Beth, Chris.
Alex left of Beth: ...Alex...Beth. Chris right of Beth: ...Alex...Beth...Chris. Dana left of Alex: Dana...Alex...Beth...Chris.
Question 4: Team 1 has more members than Team 2. Team 3 has fewer than Team 2. Which team is largest?
- Team 1 (Correct answer)
- Team 2
- Team 3
- Cannot be determined
Correct answer: Team 1
Team 1 > Team 2 > Team 3, so Team 1 is largest.
Team 1 > Team 2 and Team 3 < Team 2. Combining: Team 1 > Team 2 > Team 3. Team 1 is definitively the largest.
Question 5: Number series: 3, 6, 12, 24, 48, ___. What comes next?
- 72
- 84
- 96 (Correct answer)
- 60
Correct answer: 96
Each number is multiplied by 2. 48 x 2 = 96.
Geometric sequence with common ratio 2: 3x2=6, 6x2=12, 12x2=24, 24x2=48, 48x2=96.
Question 6: If it rains, the ceremony is canceled. If canceled, refunds are issued. It rained. What can you conclude?
- Refunds may or may not be issued
- The ceremony proceeded indoors
- Refunds are issued (Correct answer)
- The ceremony was not canceled
Correct answer: Refunds are issued
Chain: Rain -> canceled -> refunds issued.
Hypothetical syllogism: Rain -> Ceremony canceled -> Refunds issued. Since it rained, both consequences follow. Refunds are issued.
California State Jobs Exam Logical Reasoning 2
All state employees must complete ethics training.
Maria is a state employee.
Which conclusion logically follows?