Arithmetic Reasoning Word Problems Flashcards

A software team completes a project in 60 days with 5 developers. If 2 developers leave, how many additional days will it take to finish (assuming equal workloads)?

Answer: 40

Total work = 60 × 5 = 300 developer-days; 3 developers need 300 ÷ 3 = 100 days; additional days = 100 − 60 = 40.

A tech store sells 120 units of a product in January, 15% more in February, and 10% less than February in March. How many units were sold in March?

Answer: 124

February = 120 × 1.15 = 138; March = 138 × 0.90 = 124.2, rounded to 124.

A cable is 3.6 meters long. A technician cuts off 40 cm, then cuts the remainder into 4 equal pieces. How long is each piece in centimeters?

Answer: 80

3.6 m = 360 cm; 360 − 40 = 320 cm; 320 ÷ 4 = 80 cm per piece.

An analyst processes 45 reports per day. Her assistant processes 30 reports per day. Working together, how many days will they need to process 375 reports?

Answer: 5

Combined rate = 45 + 30 = 75 reports/day; 375 ÷ 75 = 5 days.

A data entry clerk makes $18.50 per hour and works 37.5 hours per week. After a 5% raise, what is her new weekly pay?

Answer: $729.56

Current weekly pay = $18.50 × 37.5 = $693.75; 5% raise = $693.75 × 1.05 = $728.4375 ≈ $729.56.

A company's server costs $2,400 per month. They reduce costs by 20% in Q2 and then increase the Q2 cost by 10% in Q3. What is the monthly cost in Q3?

Answer: $2,112

Q2 cost = $2,400 × 0.80 = $1,920; Q3 cost = $1,920 × 1.10 = $2,112.

If 3 printers can print 900 pages per hour, how many pages can 7 printers print in 2.5 hours?

Answer: 5,250

Rate per printer = 900 ÷ 3 = 300 pages/hr; 7 printers × 300 × 2.5 hours = 5,250 pages.