Civil Service Exam Logical and Analytical Reasoning 2 — Questions and Answers
Question 1: All supervisors must complete ethics training. Maria is a supervisor. Which conclusion can be logically drawn?
- Maria has already completed ethics training.
- Maria must complete ethics training. (Correct answer)
- Maria is exempt from ethics training.
- Maria will be promoted after completing ethics training.
Correct answer: Maria must complete ethics training.
This is a valid syllogism: All supervisors must complete training, Maria is a supervisor, therefore Maria must complete training.
This is a deductive reasoning problem using a categorical syllogism. The major premise states a universal rule. The minor premise establishes Maria's membership in that category. The valid conclusion is that the rule applies to her. We cannot conclude she has already completed it (adds an assumption), that she is exempt (contradicts the premise), or that promotion follows (not stated).
Question 2: In a series of numbers: 3, 7, 15, 31, 63, ___. What number comes next?
- 95
- 127 (Correct answer)
- 126
- 93
Correct answer: 127
Each number is doubled and then 1 is added: 3x2+1=7, 7x2+1=15, 15x2+1=31, 31x2+1=63, 63x2+1=127.
The differences are: 4, 8, 16, 32 — each difference doubles. Testing: 3x2+1=7, 7x2+1=15, 15x2+1=31, 31x2+1=63, 63x2+1=127. Alternatively, these are 2^2-1, 2^3-1, 2^4-1, 2^5-1, 2^6-1, 2^7-1=127.
Question 3: Five employees — Alex, Beth, Carlos, Diana, and Erik — sit in a row. Beth sits next to Alex but not next to Erik. Carlos sits at one end. Diana sits next to Erik. Which seating arrangement is possible?
- Carlos, Alex, Beth, Diana, Erik
- Carlos, Beth, Alex, Erik, Diana
- Carlos, Diana, Erik, Alex, Beth (Correct answer)
- Carlos, Erik, Diana, Beth, Alex
Correct answer: Carlos, Diana, Erik, Alex, Beth
In option C: Carlos is at the end, Diana is next to Erik (positions 2-3), Beth is next to Alex (positions 4-5), and Beth is not next to Erik. All conditions are satisfied.
Checking option C (Carlos, Diana, Erik, Alex, Beth): Carlos at the end — yes. Diana next to Erik (positions 2-3) — yes. Beth next to Alex (positions 4-5) — yes. Beth next to Erik — no, Beth is in position 5 and Erik in position 3 — satisfied. All conditions met.
Question 4: A government office processes applications in priority order: (1) Veterans, (2) Current employees, (3) Disabled individuals, (4) General public. An applicant is both a veteran and disabled. How should their application be classified?
- As a disabled individual, since disability takes priority
- As a veteran, since it is the highest priority category (Correct answer)
- In both categories simultaneously
- The applicant must choose one category
Correct answer: As a veteran, since it is the highest priority category
When an applicant qualifies for multiple priority categories, they are classified under the highest priority category. Veterans have the highest priority (1).
Priority classification systems resolve conflicts by assigning the highest applicable priority. Since the applicant qualifies as both a veteran (Priority 1) and a disabled individual (Priority 3), they receive the highest classification. There is no need to choose or dual-classify because the priority system is hierarchical.
Question 5: If the statement 'All filed complaints must be investigated within 30 days' is true, which of the following must also be true?
- Complaints not filed do not need to be investigated.
- If a complaint is investigated, it was filed.
- If a complaint was filed, it must be investigated within 30 days. (Correct answer)
- All investigations are completed within 30 days.
Correct answer: If a complaint was filed, it must be investigated within 30 days.
The original statement directly means: if a complaint was filed, then it must be investigated within 30 days. Option C restates this conditional.
The statement can be written as: IF filed, THEN investigated within 30 days. Option C directly restates this. Option A says nothing about unfiled complaints (the original doesn't address them). Option B commits the fallacy of affirming the consequent. Option D overgeneralizes to all investigations.
Question 6: A clerk notices that every time the copier jams, the paper tray was loaded by a temporary worker. The clerk concludes that temporary workers are causing the jams. What is the logical flaw?
- The sample size is too large.
- Correlation does not necessarily indicate causation. (Correct answer)
- The clerk should have surveyed temporary workers first.
- The conclusion is correct based on the evidence.
Correct answer: Correlation does not necessarily indicate causation.
The clerk observed a correlation and assumed causation. Other factors could explain the pattern — the paper type, time of day, or copier maintenance schedule.
This is the classic correlation-causation fallacy. While the clerk observed that jams and temporary worker paper loading coincide, there could be confounding variables: temporary workers might load paper during high-use periods, use different paper stock, or the copier might be due for maintenance during their shifts.
Civil Service Exam Logical and Analytical Reasoning 2
All supervisors must complete ethics training.
Maria is a supervisor.
Which conclusion can be logically drawn?