OAR OAR Math Skills: Word Problems 5 — Questions and Answers
Question 1: A Navy recruiter must sign 18 enlistments in a 30-day month. By day 20 she has signed 13. How many enlistments per day must she average for the remaining 10 days?
- 0.5 per day (Correct answer)
- 1.0 per day
- 1.5 per day
- 2.0 per day
Correct answer: 0.5 per day
Remaining enlistments = 18 - 13 = 5; remaining days = 10; rate = 5 / 10 = 0.5 per day.
Question 2: A ship's mess serves 480 meals daily: 60% breakfast, 25% lunch, and the rest dinner. How many dinner meals are served each day?
- 48
- 60
- 72 (Correct answer)
- 84
Correct answer: 72
Dinner percentage = 100% - 60% - 25% = 15%; dinner meals = 0.15 x 480 = 72.
Question 3: Two ships leave the same port simultaneously, one heading north at 22 knots and one heading south at 18 knots. How far apart are they after 5 hours?
- 110 nautical miles
- 150 nautical miles
- 175 nautical miles
- 200 nautical miles (Correct answer)
Correct answer: 200 nautical miles
Northbound ship = 22 x 5 = 110 nm; southbound ship = 18 x 5 = 90 nm; total separation = 200 nm.
Question 4: A project requires 6 officers working 8 hours per day for 10 days. If 2 officers are reassigned, how many hours per day must the remaining 4 work to finish on time?
- 10 hours
- 11 hours
- 12 hours (Correct answer)
- 14 hours
Correct answer: 12 hours
Total work = 6 x 8 x 10 = 480 officer-hours; hours per day = 480 / (4 x 10) = 12 hours.
Question 5: A base hospital has 120 beds; 78 are occupied. If 12 more patients are admitted and 5 are discharged, what percentage of beds are then occupied?
- 68.3%
- 70.0%
- 70.8% (Correct answer)
- 73.3%
Correct answer: 70.8%
New occupied = 78 + 12 - 5 = 85; percentage = (85 / 120) x 100 = 70.8%.
Question 6: A convoy of 8 trucks must deliver 3,200 supply boxes. Each truck can carry 48 boxes per trip. How many complete trips will the entire convoy need to make to deliver all boxes?
- 8 trips
- 9 trips (Correct answer)
- 10 trips
- 11 trips
Correct answer: 9 trips
Boxes per trip (whole convoy) = 8 x 48 = 384 boxes; trips = 3,200 / 384 = 8.33, so 9 complete trips are needed.
Question 7: An officer invests $8,000 at a 5% annual simple interest rate. How much interest will the investment earn in 3 years?
- $400
- $800
- $1,200 (Correct answer)
- $1,600
Correct answer: $1,200
Simple interest = Principal x Rate x Time = $8,000 x 0.05 x 3 = $1,200.
OAR OAR Math Skills: Word Problems 5
A Navy recruiter must sign 18 enlistments in a 30-day month.
By day 20 she has signed 13.
How many enlistments per day must she average for the remaining 10 days?