PSEE Arithmetic Reasoning 2 — Questions and Answers
Question 1: A government office receives 144 applications per day and processes them in batches of 12. How many batches are processed each day?
- 10
- 12 (Correct answer)
- 14
- 16
Correct answer: 12
144 ÷ 12 = 12 batches per day.
To find the number of batches, divide the total number of applications (144) by the batch size (12): 144 ÷ 12 = 12. This is a straightforward division problem common in PSEE arithmetic sections.
Question 2: A public servant earns $52,800 per year. What is their monthly salary?
- $4,200
- $4,400 (Correct answer)
- $4,600
- $4,800
Correct answer: $4,400
$52,800 ÷ 12 = $4,400 per month.
Annual salary divided by 12 months: $52,800 ÷ 12 = $4,400 per month. Understanding salary calculations is a practical arithmetic skill tested in the PSEE.
Question 3: A department has a budget of $240,000 divided equally among 8 teams. One team spends 75% of its share. How much does that team spend?
- $20,000
- $22,500 (Correct answer)
- $25,000
- $27,500
Correct answer: $22,500
$240,000 ÷ 8 = $30,000 per team. 75% of $30,000 = $22,500.
Step 1: Each team's share = $240,000 ÷ 8 = $30,000. Step 2: 75% of $30,000 = 0.75 × $30,000 = $22,500. Multi-step percentage problems are frequently tested in PSEE arithmetic.
Question 4: If a clerk types 65 words per minute, how many words can she type in 45 minutes?
- 2,700
- 2,825
- 2,925 (Correct answer)
- 3,050
Correct answer: 2,925
65 × 45 = 2,925 words.
Rate × Time = Total: 65 words/minute × 45 minutes = 2,925 words. Rate problems are a staple of PSEE arithmetic reasoning sections.
Question 5: A project requires 3 employees working 8 hours a day for 10 days. If 4 employees are assigned instead at the same daily hours, how many days will it take?
- 6 days
- 7 days
- 7.5 days (Correct answer)
- 8 days
Correct answer: 7.5 days
Total work = 3 × 8 × 10 = 240 hours. With 4 employees: 240 ÷ (4 × 8) = 7.5 days.
Total person-hours = 3 employees × 8 hours/day × 10 days = 240 hours. With 4 employees at 8 hours/day, daily output = 32 hours. 240 ÷ 32 = 7.5 days. This tests inverse proportion, a key PSEE arithmetic skill.
Question 6: A supply order costs $3.75 per unit. A department orders 80 units. What is the total cost?
- $280
- $290
- $300 (Correct answer)
- $310
Correct answer: $300
$3.75 × 80 = $300.
$3.75 × 80 = $300. Calculating procurement costs is a practical skill assessed in the PSEE arithmetic section, reflecting real-world public service responsibilities.
A government office receives 144 applications per day and processes them in batches of 12.
How many batches are processed each day?