ASVAB Exam Questions

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41.

A large gear has 18 teeth and a small gear has 12 teeth. If the larger gear makes 10 revolutions, how many will the small gear make?

  • 15

  • 20

  • 25

  • 10

Correct answer: 15

To solve this problem, find the gear ratio. 

Since the large gear has 18 teeth and the small gear has 12 teeth, the ratio is 18:12.

Divide both sides by 6 to get 3:2.

To find the number of revolutions the small gear makes, set up a proportion.

3/2 = x/10

2x = 30

x = 15

42.

What type of charge do electrons have?

  • Negative charge

  • Positive charge

  • Neutral charge

  • No charge

Correct answer: Negative charge

Electrons are very small particles of matter that have a negative charge. They are found orbiting the nucleus of an atom. When electrons move between atoms, they cause electric currents.

As stated above, electrons have a negative charge. Protons have a positive charge, and neutrons have no electric charge.

43.

If you need to tighten a screw that has a hexagonal recessed head, which of the following tools will you most likely use?

  • Allen wrench

  • Phillips screwdriver

  • Standard screwdriver

  • Ratchet wrench

Correct answer: Allen wrench

An Allen wrench is used to tighten a screw with a hexagonal-recessed head. It is simple, small, and light and can be used with a headless screw.

A Phillips screwdriver is used to tighten a screw with a cross-shaped head. A standard screwdriver is used to tighten a screw with a straight-lined head. A ratchet wrench uses a socket to drive a bolt.

44.

The emergency room serviced 60 patients today. Jodi and Amanda were the only two nurses on staff. If Jodi cared for 28 patients, how many patients did Amanda care for?

  • 32

  • 38

  • 55

  • 27

Correct answer: 32

This problem can by solved by subtracting 28 from 83.

1. Set up the long subtraction.

2. Since 0 is less than 8, borrow 1 from the next column to make 10.

3. Calculate 10 - 8, which is 2.

4. Calculate 5 - 2, which is 3.

5. Therefore, 60 - 28 = 32.

45.

If Jeffrey can grade 7 exams every 2 1/4 hours, how many exams can he grade in 9 hours?

  • 28 

  • 21

  • 18

  • 13

Correct answer: 28

Convert the mixed number to an improper fraction by multiplying the denominator by the base number and adding it to the numerator.

2 1/4 = (4 × 2 + 1)/4 = 9/4

Divide 9 hours by 9/4. Remember that when dividing by a fraction, you can multiply it by its reciprocal instead.

9 ÷ 9/4 = 9 × 4/9 = 36/9 = 4 

Since Jeffrey can grade 7 exams in each 2 1/4 hour time period, multiply 4 by 7 to find the total number of exams he can grade in 9 hours.

4 × 7 = 28 exams

46.

What is one disadvantage of using a fuse?

  • It has to be replaced before the circuit will work again

  • It doesn't always work to prevent electricity flow

  • They are more expensive than circuit breakers

  • They respond slowly to increases in current

Correct answer: It has to be replaced before the circuit will work again

A fuse is a thin wire that melts when current exceeds a certain amount, preventing any further electricity flow. One major disadvantage to fuses is that when the fuse has melted, it must be replaced before the circuit will work again.

Fuses are always meant to "blow," or melt, to prevent electricity flow. They are less expensive and respond more quickly than circuit breakers, which have the advantage of being able to be reused multiple times.

47.

If a series circuit were to be used in a string of lights, what would occur if one bulb burned out?

  • The whole string would not light

  • Only the bulb that burned out would not light

  • Only one half of the string would not light

  • The whole string would start blinking

Correct answer: The whole string would not light

A series circuit is a simple circuit in which all of the current passes through every portion of the circuit. If one portion of a series circuit were to quit working (i.e., one light bulb), the entire circuit would stop working as the current could no longer flow through it.

48.

Round 49,876 to the nearest thousand.

  • 50,000

  • 49,000

  • 49,900

  • 49,880

Correct answer: 50,000

The thousands place is the fourth place to the left of the decimal (which is not seen here because it comes after the last digit, 6). Therefore, the 9 is in the thousands place.

To round 49,876 to the nearest thousand, look at the digit in the hundreds place (8). If a digit is greater than 5, round up. Since 8 is greater than 5, you need to round the digit in the thousands place from a 9 to a 10, which means that the ten-thousands place increases from 4 to 5.

Therefore, 49,876 rounded to the nearest thousand is 50,000.

49.

Which of the following words most nearly means ambidextrous?

  • Two-handed

  • Clumsy

  • Graceful

  • Handicapped

Correct answer: Two-handed

The prefix ambi- means both. To be ambidextrous is to be equally skillful with both hands, so two-handed is the best answer choice.

The remaining answer choices are incorrect. Clumsy, which means awkward; graceful, which means having elegance; and handicapped, which means having a condition that restricts someone's ability to function, do not fit the definition of ambidextrous.

50.

Carla received a $750 simple interest loan with an annual interest rate of 1.5% and a 3-year payback. How much interest will Carla pay during the 3-year term?

  • $33.75

  • $11.25

  • $56.25

  • $3.75

Correct answer: $33.75

In order to solve this problem, use the formula I = prt (Interest = principal × rate × time) to calculate the simple interest.

Change the rate to a decimal from a percentage by dividing by 100.

1.5%/100 = 0.015

Principal = $750; Rate = 0.015; Time = 3 years

I = ($750)(0.015)(3 years)

I = $33.75

51.

Silfy's weight is 4 pounds more than twice Rooney's weight. If the sum of their weights is 310 pounds, determine Silfy's weight.

  • 208 pounds

  • 210 pounds

  • 213 pounds

  • 102 pounds

Correct answer: 208 pounds

Let Rooney's weight be x, so Silfy's weight is 2x + 4. 

The sum of both weights is 310, so x + 2x + 4 = 310.

 x + 2x + 4 = 310

3x + 4 = 310

3x = 306

x = 102

Rooney's weight is 102 pounds, so use the equation 2x + 4 to find Silfy's weight.

2x + 4 = 2(102) + 4 = 204 + 4 = 208

Silfy weighs 208 pounds.

52.

June had a pizza. She gave a fifth to her friend Sara and a quarter of the remainder to her friend Lillian. If she later gave them a third of the remainder to share equally, what fraction of the pizza did Lillian get?

  • 3/10

  • 3/5

  • 1/5

  • 2/5

Correct answer: 3/10

First, subtract each friend's portion from June's pizza.

To Sara, June gave 1/5 of the pizza.

1 - 1/5 = 4/5

To Lillian, June gave 1/4 of the remainder.

4/5 × 1/4 = 4/20 = 1/5 

So, 4/5 - 1/5 = 3/5 of the pizza is left.

June then gave Sara and Lillian 1/3 of the remainder to share equally.

1/3 × 3/5 = 1/5 

Sara and Lillian got 1/5 × 1/2 = 1/10 of the pizza each.

Add this portion to Lillian's first portion of 1/5 of the pizza.

1/10 + 1/5 = 1/10 + 2/10 = 3/10 of the pizza

53.

The product of two numbers is 14, while the sum of their squares is 100. Find the product of the square of the sum of the numbers and 4.

  • 512

  • 448

  • 456

  • 256

Correct answer: 512

Let the numbers be x and y.

xy = 14

The sum of their squares is: x² + y² = 100

The sum of the numbers is x + y.

The square of their sum is (x+y)² = (x+y)(x+y) = x² + 2xy + y² = x² + y² + 2xy

Since x² + y² = 100 and xy =14, we can substitute these values in the equation.

x² + y² + 2xy = 100 + 2(14) = 128

Then, we must multiply this value by 4.

4 x 128 = 512

54.

Velocity is described by both a magnitude and direction. This is called a:

  • Vector quantity

  • Time

  • Displacement

  • Speed

Correct answer: Vector quantity

In physics, velocity is called a vector quantity, meaning that it is described by both a magnitude and direction. For example, a person running north who covers 2 meters in one second is described as having a velocity of 2 m/s (meters per second) north. 

Time is not a vector. Displacement is a vector, but is not described by magnitude and direction. Speed only describes how quickly someone or something is traveling, not the direction.

55.

Seth rides his bicycle to the gym every day, going 15 miles per hour there and 12 miles per hour back. Each day, he bikes a total of 1 hour. What is the distance from Seth’s house to his gym, rounded to the nearest mile?

  • 6.67 miles

  • 3.15 miles

  • 9.07 miles

  • 4.65 miles

Correct answer: 6.67 miles

Let x be the distance traveled to Seth's gym. The time it takes to bike to the gym looks like this:

Distance/speed = x/15

The time it takes to return looks like this:

Distance/speed = x/12

The total time to travel and return is 1 hour. Therefore,

x/15 + x/12 = 1

Next, find the common denominator in order to add the fractions and solve for x.

(x/15)(4/4) + (x/12)(5/5) = 1

4x/60 + 5x/60 = 1

9x/60 = 1

9x = 60

= 60/9

x = 6.67 miles

56.

If your vehicle is emitting blue smoke, which of the following most likely needs to be replaced?

  • Cylinders

  • Oil filter

  • Radiator

  • Spark plugs

Correct answer: Cylinders

The blue smoke is a result of your vehicle burning oil. If your vehicle is emitting blue smoke, it may be a sign that your vehicle’s cylinders and/or rings are worn and need to be replaced. 

Your oil filter may need to be replaced if your engine starts making unusual noises and if you have driven longer than the recommended mileage since the last time your filter was replaced. Your radiator may need to be replaced if you notice excessive leaking of the coolant. Your spark plugs may need to be replaced if you have trouble starting your car or if your engine misfires.

57.

Solve: 

2 + 4(3 – 1) =

  • 10

  • 14

  • 13

  • 12

Correct answer: 10

According to the order of operations, the calculation in parentheses should be done before anything else, followed by multiplication and finally addition.

Simplify 3 - 1 to 2.

2 + 4 × 2

Simplify 4 × 2 to 8.

2 + 8 = 10

58.

Which of the following words most nearly means culpable?

  • Guilty

  • Acquitted

  • Compliant

  • Reluctant

Correct answer: Guilty

The root word culp means blame, and the suffix -able means capable of or worthy of. Therefore, to be culpable means to be worthy of blame. Guilty means blameworthy or accountable, so it is the best synonym.

None of the remaining answer options are correct. Acquitted is to free someone from a criminal charge; compliant means inclined to agree with or obey others; and reluctant means hesitant and unwilling.

59.

What temperature is the interior of the earth?

  • Between 3,000 and 4,000 degrees Celsius

  • Between 1,000 and 2,000 degrees Celsius

  • Between 2,000 and 3,000 degrees Celsius

  • Between 6,000 and 7,000 degrees Celsius

Correct answer: Between 3,000 and 4,000 degrees Celsius

The interior of the earth is very hot, somewhere between 3,000 and 4,000 degrees Celsius. Solid rock in the mantle and crust usually keeps the heat from escaping.

60.

If a tank’s base measures 5 feet by 7 feet and contains 525 pounds of water, what is the water pressure at the base of the tank?

  • 15 lb/ft²

  • 105 lb/ft²

  • 75 lb/ft²

  • 55 lb/ft²

Correct answer: 15 lb/ft²

In order to find the water pressure at the base of the tank, find the area of the base.

Area = length × width

A = 5 ft × 7 ft = 35 ft²

Divide the total weight of the water by the area of the base.

525 lb ÷ 35 ft² = 15 lb/ft²