OAR OAR Math Skills: Word Problems 4 — Questions and Answers
Question 1: An officer's gross pay is $5,600 per month. Deductions total 28% of gross pay. What is the officer's net monthly pay?
- $3,872
- $3,952
- $4,032 (Correct answer)
- $4,112
Correct answer: $4,032
Deductions = 0.28 x $5,600 = $1,568; net pay = $5,600 - $1,568 = $4,032.
Question 2: A supply depot receives 3 shipments per week, each containing 120 units. The depot issues 48 units per day, 6 days a week. What is the net change in inventory per week?
- -108 units
- -72 units
- +12 units
- +72 units (Correct answer)
Correct answer: +72 units
Received = 3 x 120 = 360 units; issued = 48 x 6 = 288 units; net = 360 - 288 = +72 units.
Question 3: A Navy vessel travels north at 20 knots for 3 hours, then east at 15 knots for 4 hours. What is the straight-line distance from the starting point?
- 75 nautical miles
- 85 nautical miles (Correct answer)
- 95 nautical miles
- 100 nautical miles
Correct answer: 85 nautical miles
North = 60 nm, East = 60 nm; straight-line = sqrt(60^2 + 60^2) = sqrt(7,200) = approximately 84.9 nm.
Question 4: A contractor bids $18,000 to paint a facility. Materials cost $4,800 and labor is $280 per day for 10 days. What is the contractor's profit?
- $7,600
- $8,000
- $9,200 (Correct answer)
- $10,400
Correct answer: $9,200
Labor = 10 x $280 = $2,800; total cost = $4,800 + $2,800 = $7,600; profit = $18,000 - $7,600 = $10,400.
Question 5: A base gym has 240 members. 35% use it in the morning, 45% in the afternoon, and the rest in the evening. How many members work out in the evening?
- 36
- 42
- 48 (Correct answer)
- 54
Correct answer: 48
Evening percentage = 100% - 35% - 45% = 20%; evening members = 0.20 x 240 = 48.
Question 6: A military vehicle travels 360 miles on 24 gallons of fuel. At the same efficiency, how many gallons are needed for a 525-mile trip?
- 30 gallons
- 32 gallons
- 35 gallons (Correct answer)
- 38 gallons
Correct answer: 35 gallons
Fuel efficiency = 360 / 24 = 15 mpg; gallons needed = 525 / 15 = 35 gallons.
Question 7: A technician earns $28 per hour for regular hours and 1.5x that rate for overtime. In a week with 40 regular hours and 8 overtime hours, what are his total earnings?
- $1,288
- $1,344
- $1,456 (Correct answer)
- $1,568
Correct answer: $1,456
Regular pay = 40 x $28 = $1,120; overtime rate = $42/hr; overtime pay = 8 x $42 = $336; total = $1,456.
OAR OAR Math Skills: Word Problems 4
An officer's gross pay is $5,600 per month.
Deductions total 28% of gross pay.
What is the officer's net monthly pay?