EDPT Arithmetic Reasoning Word Problems 4 — Questions and Answers
Question 1: A storage array holds 8 terabytes. It is currently 62.5% full. How many gigabytes of free space remain?
- 3,000 (Correct answer)
- 5,000
- 2,800
- 3,200
Correct answer: 3,000
8 TB = 8,000 GB; used = 8,000 × 0.625 = 5,000 GB; free = 8,000 − 5,000 = 3,000 GB.
Question 2: A tech company ships 240 orders per day with 6 workers. If they hire 2 more workers, how many orders can they ship in a 5-day week?
- 1,600 (Correct answer)
- 1,200
- 1,400
- 1,800
Correct answer: 1,600
Rate per worker = 240 ÷ 6 = 40 orders/day; 8 workers × 40 = 320/day; weekly = 320 × 5 = 1,600.
Question 3: A cybersecurity firm billed 3 clients: $12,400, $8,750, and $15,300. If the firm keeps 70% and splits the rest equally among 4 partners, how much does each partner receive?
- $2,733.75 (Correct answer)
- $3,112.50
- $2,556.00
- $3,450.00
Correct answer: $2,733.75
Total = $36,450; firm keeps 70% = $25,515; remaining 30% = $10,935; per partner = $10,935 ÷ 4 = $2,733.75.
Question 4: A computer depreciates at a rate of 25% per year. If it originally cost $2,400, what is its value after 2 years?
- $1,350 (Correct answer)
- $1,200
- $1,440
- $1,800
Correct answer: $1,350
After year 1: $2,400 × 0.75 = $1,800; after year 2: $1,800 × 0.75 = $1,350.
Question 5: Two technicians are installing network cables. One installs 120 feet per hour and the other installs 90 feet per hour. How many feet of cable can they install together in 3.5 hours?
- 735 (Correct answer)
- 630
- 840
- 525
Correct answer: 735
Combined rate = 120 + 90 = 210 feet/hr; total = 210 × 3.5 = 735 feet.
Question 6: A report contains 84 pages. An editor reviews 12 pages per hour. If she has already reviewed 36 pages, how many more hours does she need to finish the report?
- 4 (Correct answer)
- 3
- 5
- 6
Correct answer: 4
Remaining pages = 84 − 36 = 48; time needed = 48 ÷ 12 = 4 hours.
Question 7: A satellite office orders supplies every 3 months. Their last order was 180 reams of paper at $4.50 per ream. If paper costs rise 8%, what will the next order cost?
- $874.80 (Correct answer)
- $810.00
- $900.00
- $840.00
Correct answer: $874.80
Original cost = 180 × $4.50 = $810; new cost = $810 × 1.08 = $874.80.
A storage array holds 8 terabytes.
It is currently 62.5% full.
How many gigabytes of free space remain?