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NG Navy Exam study materials
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NG Navy Exam practice questions

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Question 1Arithmetic Reasoning

A Navy work center has 6 pallets of supplies. Each pallet holds 24 crates, and each crate contains 15 repair parts. How many repair parts does the work center have in total?

  1. 3,600
  2. 2,520
  3. 2,160 Correct answer.
  4. 1,440

Explanation

Multiply in stages: 6 pallets times 24 crates equals 144 crates, and 144 crates times 15 parts equals 2,160 parts. Chaining the three factors in any order gives the same product, so the answer is 2,160.

Question 2Arithmetic Reasoning

A sailor's paycheck of $2,340 is divided so that $780 goes to rent and the rest is split evenly among 4 savings categories. How much goes to each savings category?

  1. $390 Correct answer.
  2. $430
  3. $585
  4. $470

Explanation

First subtract rent from the paycheck: 2,340 minus 780 equals 1,560. Then divide the remainder by 4: 1,560 divided by 4 equals 390 dollars per category.

Question 3Arithmetic Reasoning

A supply clerk packs 1,248 ration packets into cases that each hold 16 packets. How many full cases does the clerk pack?

  1. 72
  2. 78 Correct answer.
  3. 84
  4. 68

Explanation

Divide the total by the case size: 1,248 divided by 16. Since 16 times 78 equals 1,248 exactly, the clerk packs 78 full cases with none left over.

Question 4Arithmetic Reasoning

A watch stander is on duty from 0745 until 1530. How many hours and minutes is the watch?

  1. 7 hours 15 minutes
  2. 8 hours 15 minutes
  3. 8 hours 45 minutes
  4. 7 hours 45 minutes Correct answer.

Explanation

From 0745 to 1545 would be exactly 8 hours, so ending 15 minutes earlier at 1530 gives 7 hours 45 minutes. Alternatively, convert to minutes: 930 minus 465 equals 465 minutes, which is 7 hours 45 minutes.

Question 5Arithmetic Reasoning

A Navy mess hall serves 3/8 of its prepared meals at lunch and 1/4 of them at breakfast. What fraction of the prepared meals remains for dinner?

  1. 5/8
  2. 3/4
  3. 3/8 Correct answer.
  4. 1/2

Explanation

Convert to eighths: 1/4 equals 2/8, so breakfast and lunch together use 2/8 plus 3/8, or 5/8. The remainder is 8/8 minus 5/8, which equals 3/8 of the meals.

Question 6Arithmetic Reasoning

A fuel tank on a small craft holds 48 gallons when full. If it is currently 5/6 full, how many gallons of fuel are in the tank?

  1. 36
  2. 44
  3. 40 Correct answer.
  4. 42

Explanation

Multiply the capacity by the fraction present: 48 times 5/6. Since 48 divided by 6 equals 8, and 8 times 5 equals 40, the tank holds 40 gallons.

Question 7Arithmetic Reasoning

A sailor runs 2.4 miles on Monday, 3.75 miles on Wednesday, and 4.1 miles on Friday. What is the total distance run during the week?

  1. 9.15 miles
  2. 10.25 miles Correct answer.
  3. 10.15 miles
  4. 10.35 miles

Explanation

Align the decimal points and add: 2.40 plus 3.75 equals 6.15, and 6.15 plus 4.10 equals 10.25 miles. Writing 2.4 as 2.40 keeps the place values lined up correctly.

Question 8Arithmetic Reasoning

A division has 1,200 sailors, and 15 percent of them are assigned to sea duty. How many sailors are on sea duty?

  1. 120
  2. 180 Correct answer.
  3. 200
  4. 150

Explanation

Fifteen percent equals 0.15, so multiply 1,200 by 0.15. Since 1,200 times 15 equals 18,000, shifting the decimal two places gives 180 sailors.

Question 9Arithmetic Reasoning

A storehouse issues 7 crates of batteries on Monday, 12 crates on Tuesday, and 5 crates on Wednesday. If each crate holds 36 batteries, how many batteries were issued over the three days?

  1. 900
  2. 864 Correct answer.
  3. 792
  4. 828

Explanation

Total the crates first: 7 plus 12 plus 5 equals 24 crates. Then multiply by 36 batteries per crate: 24 times 36 equals 864 batteries.

Question 10Arithmetic Reasoning

A ship's crew of 320 is made up of 5/8 enlisted and the rest officers. How many more enlisted personnel than officers are there?

  1. 160
  2. 200
  3. 120
  4. 80 Correct answer.

Explanation

Enlisted personnel number 320 times 5/8, which is 200, leaving 120 officers. The difference is 200 minus 120, or 80 more enlisted than officers.

Question 11Arithmetic Reasoning

A Navy vehicle travels 276 miles on 12 gallons of fuel. At the same rate, how many gallons are needed for a 460-mile trip?

  1. 18
  2. 24
  3. 22
  4. 20 Correct answer.

Explanation

Find the rate first: 276 divided by 12 equals 23 miles per gallon. Then divide 460 by 23, which equals 20 gallons for the longer trip.

Question 12Arithmetic Reasoning

A sailor's base pay is $2,800 per month. After a 4 percent raise, what is the new monthly base pay?

  1. $3,080
  2. $2,884
  3. $2,912 Correct answer.
  4. $2,940

Explanation

A 4 percent raise adds 0.04 times 2,800, which is 112 dollars. Adding that to the original pay gives 2,800 plus 112, or $2,912 per month.

Question 13Arithmetic Reasoning

A work center's supply budget drops from $45,000 to $36,000 for the new fiscal year. What is the percent decrease?

  1. 25 percent
  2. 9 percent
  3. 20 percent Correct answer.
  4. 80 percent

Explanation

The decrease is 45,000 minus 36,000, or 9,000 dollars. Divide the decrease by the original amount: 9,000 divided by 45,000 equals 0.20, which is a 20 percent decrease.

Question 14Arithmetic Reasoning

A sailor earns $18.50 per hour and works 42 hours in a week. Overtime hours beyond 40 are paid at 1.5 times the regular rate. What is the gross pay for the week?

  1. $814.00 Correct answer.
  2. $777.00
  3. $832.50
  4. $795.50

Explanation

Regular pay is 40 times 18.50, or 740 dollars. The 2 overtime hours pay 1.5 times 18.50, or 27.75 each, totaling 55.50 dollars. Adding 740 and 55.50 gives $814.00.

Question 15Arithmetic Reasoning

A rectangular storage deck measures 18 feet by 25 feet. How many square feet of decking are needed to cover it?

  1. 86
  2. 450 Correct answer.
  3. 540
  4. 225

Explanation

The area of a rectangle is length times width, so multiply 18 by 25. Since 18 times 25 equals 450, the deck requires 450 square feet of decking.

Question 16Arithmetic Reasoning

A pipe is 12 3/4 feet long. If 2 1/2 feet are cut off, how long is the remaining section?

  1. 9 3/4 feet
  2. 10 1/2 feet
  3. 10 3/4 feet
  4. 10 1/4 feet Correct answer.

Explanation

Convert to quarters: 12 3/4 equals 51/4 and 2 1/2 equals 10/4. Subtracting gives 41/4, which is 10 1/4 feet remaining.

Question 17Arithmetic Reasoning

A sailor's sea bag holds 3 pairs of boots and 5 pairs of shoes. If the sailor packs 2 extra pairs of boots, what is the ratio of boots to shoes in simplest form?

  1. 3 to 5
  2. 1 to 1 Correct answer.
  3. 5 to 6
  4. 1 to 2

Explanation

Adding the 2 extra pairs gives 5 pairs of boots while the shoes stay at 5 pairs. The ratio is 5 to 5, which simplifies to 1 to 1.

Question 18Arithmetic Reasoning

A Navy detail of 12 sailors can complete a painting job in 9 days. At the same rate, how many days would 18 sailors take to complete the same job?

  1. 6 days Correct answer.
  2. 7 days
  3. 4 days
  4. 5 days

Explanation

The job requires 12 times 9, or 108 sailor-days of work. Dividing 108 by 18 sailors gives 6 days, since more sailors shorten the time proportionally.

Question 19Arithmetic Reasoning

A sailor's total travel claim is $1,275. The first payment covers 2/5 of the claim, and the rest is paid in 3 equal installments. How much is each installment?

  1. $510
  2. $425
  3. $340
  4. $255 Correct answer.

Explanation

The first payment is 2/5 of 1,275, which equals 510 dollars. The remaining 765 dollars divided by 3 installments gives 255 dollars each.

Question 20Arithmetic Reasoning

A ship's fuel consumption is 240 gallons per day. If the ship has 3,840 gallons of fuel and must keep a reserve of 480 gallons, how many full days of operation does the fuel allow?

  1. 14 Correct answer.
  2. 16
  3. 12
  4. 18

Explanation

Subtract the reserve first: 3,840 minus 480 equals 3,360 usable gallons. Dividing 3,360 by 240 gallons per day gives 14 full days.

Question 21Arithmetic Reasoning

A Navy postal clerk sorts 3 packages every 4 minutes. At this rate, how many packages are sorted in 2 hours?

  1. 120
  2. 180
  3. 150
  4. 90 Correct answer.

Explanation

Two hours is 120 minutes, which contains 30 four-minute intervals. Multiplying 30 intervals by 3 packages gives 90 packages.

Question 22Arithmetic Reasoning

A rectangular cargo hold is 30 feet long and 20 feet wide, and it is filled with cargo to a uniform depth of 6 feet. What is the volume of cargo in cubic feet?

  1. 1,800
  2. 3,600 Correct answer.
  3. 3,000
  4. 4,200

Explanation

Volume of a rectangular solid is length times width times height. Multiplying 30 by 20 by 6 gives 3,600 cubic feet.

Question 23Arithmetic Reasoning

A sailor invests $2,500 at 4 percent simple annual interest. After 3 years, how much total interest has been earned?

  1. $400
  2. $300 Correct answer.
  3. $100
  4. $750

Explanation

Simple interest is principal times rate times time: 2,500 times 0.04 times 3. This equals 100 per year over 3 years, or $300 total interest.

Question 24Arithmetic Reasoning

A Navy team of 5 sailors can load 60 pallets in 4 hours. How many pallets can a team of 8 sailors load in 6 hours at the same per-sailor rate?

  1. 180
  2. 144 Correct answer.
  3. 120
  4. 160

Explanation

Find the per-sailor hourly rate: 60 pallets divided by 5 sailors divided by 4 hours equals 3 pallets per sailor-hour. Then 8 sailors times 6 hours times 3 equals 144 pallets.

Question 25Arithmetic Reasoning

A sailor's gross pay is $3,200 per month. Federal withholding is 18 percent, state withholding is 5 percent, and other deductions total $240. What is the net pay?

  1. $2,464
  2. $2,704
  3. $2,224 Correct answer.
  4. $2,944

Explanation

Combined withholding is 23 percent of 3,200, or 736 dollars. Adding the 240 dollars in other deductions gives 976 dollars total, and 3,200 minus 976 equals $2,224 net pay.

Question 26Arithmetic Reasoning

A Navy work center orders 144 feet of chain in 8-foot sections for a mooring detail. How many 8-foot sections will the work center receive?

  1. 18 Correct answer.
  2. 16
  3. 20
  4. 24

Explanation

Divide the total length by the length of one section: 144 ÷ 8 = 18. Checking the result, 18 sections of 8 feet each give 144 feet, so the division is consistent with the order.

Question 27Arithmetic Reasoning

A sailor has completed 3/8 of a 96-question advancement study packet. How many questions remain to be completed?

  1. 36
  2. 60 Correct answer.
  3. 64
  4. 58

Explanation

The completed portion is 3/8 × 96 = 36 questions. Subtract that from the total: 96 − 36 = 60 questions remaining. Equivalently, 5/8 of 96 is 60.

Question 28Arithmetic Reasoning

A ship leaves port at 0800 and steams at 15 knots. A second ship leaves the same port at 1000 on the same course at 25 knots. At what time will the second ship overtake the first?

  1. 1500 Correct answer.
  2. 1600
  3. 1300
  4. 1400

Explanation

By 1000 the first ship has a 30-nautical-mile lead (15 knots × 2 hours). The second ship closes the gap at 25 − 15 = 10 knots, so it needs 30 ÷ 10 = 3 hours after 1000, which is 1500. At 1500 both ships have covered 105 nautical miles.

Question 29Arithmetic Reasoning

A Navy galley serves 450 sailors. On a given day, 60 percent choose the chicken entree and the remaining sailors choose the pasta entree. If the pasta entree costs $2.40 per serving and the chicken entree costs $3.10 per serving, what is the total food cost for both entrees that day?

  1. $1,395.00
  2. $1,269.00 Correct answer.
  3. $1,188.00
  4. $1,269.60

Explanation

Chicken servings are 0.60 × 450 = 270 at $3.10, which is $837.00. Pasta servings are 450 − 270 = 180 at $2.40, which is $432.00. Adding the two gives $837.00 + $432.00 = $1,269.00.

Question 30Arithmetic Reasoning

A rectangular fuel tank aboard a small craft measures 6 feet long, 4 feet wide, and 3 feet deep. If 1 cubic foot holds 7.48 gallons, approximately how many gallons does the full tank hold?

  1. 538 Correct answer.
  2. 269
  3. 179
  4. 720

Explanation

The tank volume is 6 × 4 × 3 = 72 cubic feet. Multiplying by 7.48 gallons per cubic foot gives 72 × 7.48 = 538.56, which rounds to about 538 gallons.

Question 31Mathematics Knowledge

A Navy work detail needs to move 480 pallets. Each truck carries 24 pallets. How many truckloads are required to move all the pallets?

  1. 20 Correct answer.
  2. 22
  3. 24
  4. 18

Explanation

Divide the total number of pallets by the capacity of one truck: 480 ÷ 24 = 20. Twenty truckloads are needed to move every pallet with none left over.

Question 32Mathematics Knowledge

A supply crate has a rectangular base measuring 4 feet by 3 feet and a height of 2 feet. What is the volume of the crate in cubic feet?

  1. 14
  2. 24 Correct answer.
  3. 12
  4. 9

Explanation

The volume of a rectangular solid is length times width times height. Multiplying 4 × 3 × 2 gives 24 cubic feet.

Question 33Mathematics Knowledge

A sailor's watch runs for 2 hours and 45 minutes, then a second watch runs for 1 hour and 30 minutes. What is the total time for both watches combined?

  1. 3 hours 15 minutes
  2. 4 hours 5 minutes
  3. 4 hours 15 minutes Correct answer.
  4. 3 hours 75 minutes

Explanation

Add hours separately from minutes: 2 + 1 = 3 hours and 45 + 30 = 75 minutes. Since 75 minutes equals 1 hour 15 minutes, the total is 4 hours 15 minutes.

Question 34Mathematics Knowledge

Convert the fraction 3/8 to a decimal.

  1. 0.625
  2. 0.38
  3. 0.375 Correct answer.
  4. 0.267

Explanation

Divide the numerator by the denominator: 3 ÷ 8 = 0.375. This is an exact decimal because 8 divides a power of ten.

Question 35Mathematics Knowledge

A Navy fuel tank holds 1,200 gallons when full. If it is currently 35% full, how many gallons of fuel are in the tank?

  1. 780
  2. 350
  3. 420 Correct answer.
  4. 435

Explanation

To find 35% of 1,200, convert the percent to a decimal and multiply: 0.35 × 1,200 = 420 gallons.

Question 36Mathematics Knowledge

Simplify the expression 5 + 3 × 4 − 6 ÷ 2 using the order of operations.

  1. 16
  2. 22
  3. 14 Correct answer.
  4. 11

Explanation

Multiplication and division are performed before addition and subtraction. So 3 × 4 = 12 and 6 ÷ 2 = 3, giving 5 + 12 − 3 = 14.

Question 37Mathematics Knowledge

A rectangular deck on a ship measures 15 meters long and 8 meters wide. What is its perimeter?

  1. 23 meters
  2. 120 meters
  3. 46 meters Correct answer.
  4. 60 meters

Explanation

The perimeter of a rectangle is 2(length + width). Here 2(15 + 8) = 2(23) = 46 meters.

Question 38Mathematics Knowledge

What is the value of 7 squared minus 4 squared?

  1. 33 Correct answer.
  2. 45
  3. 9
  4. 11

Explanation

Seven squared is 49 and four squared is 16. Subtracting gives 49 − 16 = 33.

Question 39Mathematics Knowledge

A sailor travels 12 miles north and then 16 miles east. What is the straight-line distance from the starting point to the final position?

  1. 4 miles
  2. 20 miles Correct answer.
  3. 28 miles
  4. 14 miles

Explanation

The path forms a right triangle with legs 12 and 16. By the Pythagorean theorem, the hypotenuse is the square root of 144 + 256 = 400, which is 20 miles.

Question 40Mathematics Knowledge

A crew of 6 sailors can complete a repair in 12 hours. How long would the same repair take a crew of 8 sailors working at the same rate?

  1. 10 hours
  2. 9 hours Correct answer.
  3. 16 hours
  4. 8 hours

Explanation

The total work is 6 × 12 = 72 sailor-hours. Dividing by 8 sailors gives 72 ÷ 8 = 9 hours.

Question 41Mathematics Knowledge

Solve for x: 4x − 7 = 2x + 9.

  1. x = 8 Correct answer.
  2. x = 1
  3. x = 4
  4. x = 16

Explanation

Subtract 2x from both sides to get 2x − 7 = 9, then add 7 to get 2x = 16. Dividing by 2 gives x = 8.

Question 42Mathematics Knowledge

A supply container holds 5 gallons of liquid. Given that 1 gallon equals 4 quarts, how many quarts does the container hold?

  1. 40 quarts
  2. 9 quarts
  3. 1.25 quarts
  4. 20 quarts Correct answer.

Explanation

Multiply the number of gallons by the number of quarts per gallon: 5 × 4 = 20 quarts.

Question 43Mathematics Knowledge

What is the average of the numbers 14, 22, 18, 30, and 16?

  1. 22
  2. 20 Correct answer.
  3. 25
  4. 18

Explanation

The sum is 14 + 22 + 18 + 30 + 16 = 100. Dividing by the five values gives 100 ÷ 5 = 20.

Question 44Mathematics Knowledge

A right triangle has one leg of length 9 and a hypotenuse of length 15. What is the length of the other leg?

  1. 10
  2. 24
  3. 6
  4. 12 Correct answer.

Explanation

Using a² + b² = c², the unknown leg squared is 15² − 9² = 225 − 81 = 144. The square root of 144 is 12.

Question 45Mathematics Knowledge

A ship's store sells a uniform jacket for $80. During a sale the price is reduced by 15%. What is the sale price?

  1. $68 Correct answer.
  2. $12
  3. $65
  4. $72

Explanation

Fifteen percent of $80 is 0.15 × 80 = $12. Subtracting the discount from the original price gives $80 − $12 = $68.

Question 46Mathematics Knowledge

Simplify the expression (2³)² × 2.

  1. 256
  2. 32
  3. 128 Correct answer.
  4. 64

Explanation

Raise a power to a power by multiplying exponents: (2³)² = 2⁶ = 64. Multiplying by 2 gives 64 × 2 = 128.

Question 47Mathematics Knowledge

A rope 36 meters long is cut into pieces each 1.5 meters long. How many pieces are produced?

  1. 18
  2. 54
  3. 27
  4. 24 Correct answer.

Explanation

Divide the total length by the length of each piece: 36 ÷ 1.5 = 24 pieces.

Question 48Mathematics Knowledge

Solve the proportion 3/5 = x/40.

  1. x = 24 Correct answer.
  2. x = 30
  3. x = 8
  4. x = 15

Explanation

Cross-multiply to get 3 × 40 = 5x, so 120 = 5x. Dividing both sides by 5 gives x = 24.

Question 49Mathematics Knowledge

A rectangular storage room has an area of 96 square feet and a length of 12 feet. What is its width?

  1. 12 feet
  2. 10 feet
  3. 84 feet
  4. 8 feet Correct answer.

Explanation

Area equals length times width, so width equals area divided by length: 96 ÷ 12 = 8 feet.

Question 50Mathematics Knowledge

A sailor has completed 18 of the 45 required training modules. What percent of the modules has the sailor completed?

  1. 60%
  2. 40% Correct answer.
  3. 45%
  4. 25%

Explanation

Divide the completed modules by the total and multiply by 100: (18 ÷ 45) × 100 = 0.4 × 100 = 40%.