Arithmetic Reasoning Word Problems Flashcards

A data center processes 4,500 transactions per hour. If the system runs for 8 hours, but experiences 45 minutes of downtime, how many transactions are processed?

Answer: 33,375

Uptime is 8 hours minus 0.75 hours = 7.25 hours; 7.25 × 4,500 = 33,375 transactions.

A programmer earns $85 per hour. She works 40 hours per week and receives a 15% bonus on her monthly salary. What is her total monthly earnings (4 weeks)?

Answer: $15,640

Monthly base = 40 × $85 × 4 = $13,600; bonus = $13,600 × 0.15 = $2,040; total = $15,640.

A server farm uses 3,200 kilowatt-hours of electricity per day. If electricity costs $0.12 per kilowatt-hour, how much does it cost to run the server farm for 30 days?

Answer: $11,520

Daily cost = 3,200 × $0.12 = $384; monthly cost = $384 × 30 = $11,520.

An IT department has a budget of $48,000. They spend 35% on hardware, 25% on software, and the rest on training. How much is allocated to training?

Answer: $19,200

Hardware + software = 60% of $48,000 = $28,800; training = $48,000 − $28,800 = $19,200.

A network transmits data at 250 megabytes per second. How long (in seconds) will it take to transfer a 7.5 gigabyte file?

Answer: 30

7.5 GB = 7,500 MB; 7,500 ÷ 250 = 30 seconds.

A company orders 15 laptops at $1,240 each and receives a 12% group discount. What is the total cost after the discount?

Answer: $16,368

Full price = 15 × $1,240 = $18,600; discount = $18,600 × 0.12 = $2,232; total = $16,368.

A database backup takes 18 minutes to complete. If the system runs backups every 4 hours, how many total minutes are spent on backups in a 24-hour day?

Answer: 108

Backups per day = 24 ÷ 4 = 6; total time = 6 × 18 = 108 minutes.