OAR (Officer Aptitude Rating) Test — Questions and Answers

Question 1: Which of the following is equivalent to 5²× 5³?

25⁵
10⁵
5⁶
5⁵ (Correct answer)

Correct answer: 5⁵

When multiplying powers with the same base, add exponents: 5^(2+3) = 5⁵.

Question 2: Read: 'The new sonar array dramatically increased detection range, but its power requirements strained the submarine's electrical system, forcing engineers to choose between stealth and endurance.' What trade-off does the passage describe?

Enhanced detection capability versus electrical system strain (Correct answer)
Surface operations versus diving depth
Crew size versus automation
Speed versus armor plating

Correct answer: Enhanced detection capability versus electrical system strain

The passage presents a direct trade-off: better sonar performance versus the strain it places on the electrical system.

Question 3: According to Ohm's Law, if the voltage in a circuit is doubled while the resistance remains constant, what is the effect on the current?

It remains the same.
It is doubled. (Correct answer)
It is quadrupled.
It is halved.

Correct answer: It is doubled.

Ohm's Law states that Voltage (V) = Current (I) × Resistance (R). This means that current is directly proportional to voltage. If the voltage is doubled and resistance is unchanged, the current must also double to maintain the relationship (2V = 2I × R).

Question 4: Read: 'The Wright Brothers' first flight lasted only 12 seconds and covered 120 feet. Within decades, commercial aviation connected continents and transformed global commerce and culture. Few inventions have reshaped human civilization so profoundly in so short a time.' The main idea is:

The Wright Brothers were the most important inventors in history.
The Wright Brothers did not expect their invention to change the world.
Aviation's rapid evolution from a 12-second flight to a global industry represents one of history's most transformative developments. (Correct answer)
Commercial aviation is primarily important for its economic impact.

Correct answer: Aviation's rapid evolution from a 12-second flight to a global industry represents one of history's most transformative developments.

The passage uses the contrast between the humble first flight and aviation's massive impact to argue it was uniquely transformative.

Question 5: What is the least common multiple (LCM) of 4, 6, and 9?

36 (Correct answer)
72
18
24

Correct answer: 36

The smallest number divisible by 4, 6, and 9 is 36.

Question 6: Simplify: 5x - 2(3 - x)

3x + 6
7x + 6
3x - 6
7x - 6 (Correct answer)

Correct answer: 7x - 6

Distribute the -2: 5x - 6 + 2x = 7x - 6.

Question 7: A $20,000 car loses value every year until only the metal and components are left. Which of the following equations can accurately be used to calculate the car's value at T years after purchase if it takes the car 15 years to lose all value other than the metal and parts, and the metal and parts are worth $755?

-1283T + 755
-15T + 20,000
-15T + 755
-1283 + 20,000 (Correct answer)

Correct answer: -1283 + 20,000

The car depreciates from $20,000 to $755 over 15 years, meaning it loses $19,245 in value. This results in an annual depreciation of $19,245 / 15 = $1283. Therefore, the correct equation to calculate the car's value at T years after purchase should be `Value = 20,000 - 1283T`. The provided correct answer, C) -1283 + 20,000, appears to be missing the variable 'T' for the depreciation term, making it an incomplete representation of the car's value over time.

Question 8: 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?

12 hours (Correct answer)
14 hours
10 hours
11 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 9: Factor out the greatest common factor from 12x³y² - 8x²y³ + 4x²y²

4x²y²(3x - 2y)
4x²y²(3x - 2y + 1) (Correct answer)
4xy(3x²y - 2xy² + xy)
2x²y²(6x - 4y + 2)

Correct answer: 4x²y²(3x - 2y + 1)

The GCF is 4x²y², and factoring it out gives 4x²y²(3x - 2y + 1).

Question 10: If a = 3 and b = -2, what is the value of 2a² - 3b?

6
18
12
24 (Correct answer)

Correct answer: 24

2(9) - 3(-2) = 18 + 6 = 24.

Question 11: Three crew members share a bonus equally. After each pays 20% in taxes, each person takes home $960. What was the total bonus before taxes?

$3,800
$3,200
$3,600 (Correct answer)
$3,400

Correct answer: $3,600

Pre-tax share per person = $960 / 0.80 = $1,200; total bonus = 3 x $1,200 = $3,600.

Question 12: Combine like terms: 7m²n - 3mn² + 2m²n + 5mn²

5m²n + 8mn²
9m²n - 8mn²
5m²n + 2mn²
9m²n + 2mn² (Correct answer)

Correct answer: 9m²n + 2mn²

Combine m²n terms (7+2=9) and mn² terms (-3+5=2) to get 9m²n + 2mn².

Question 13: An object is in static equilibrium. Which statement must be true?

All individual forces acting on it are zero
The net force and net torque on it are both zero (Correct answer)
The object has no mass
The object is moving at constant velocity

Correct answer: The net force and net torque on it are both zero

Static equilibrium requires both the sum of all forces and the sum of all torques to equal zero.

Question 14: A simple circuit consists of a battery and three light bulbs connected in series. If the middle bulb's filament breaks, what will happen to the other two bulbs?

They will both get brighter.
The first bulb will stay lit, but the last one will go out.
They will both get dimmer, but stay lit.
They will both go out. (Correct answer)

Correct answer: They will both go out.

In a series circuit, there is only one path for the current to flow. A burned-out bulb creates an open break in this path, stopping the flow of current to the entire circuit, so all bulbs will go out.

Question 15: A block-and-tackle pulley system has 4 supporting ropes. Ignoring friction, what effort is needed to lift a 240-lb load?

240 lb
60 lb (Correct answer)
120 lb
80 lb

Correct answer: 60 lb

The mechanical advantage equals the number of supporting ropes, so effort = 240/4 = 60 lb.

Question 16: A reader summarizes a passage as: 'This passage is about World War II.' This summary describes the passage's:

Conclusion
Topic (Correct answer)
Main idea
Thesis statement

Correct answer: Topic

Naming the subject without making a claim describes the topic, not the main idea.

Question 17: Simplify: (4x - 3) - (2x + 5)

2x - 8 (Correct answer)
2x + 2
6x + 2
6x - 8

Correct answer: 2x - 8

Distribute the negative: 4x - 3 - 2x - 5 = 2x - 8.

Question 18: In a parallel circuit, if one branch is open (broken), what happens to the other branches?

Voltage drops to zero
The other branches continue operating normally (Correct answer)
All branches stop working
Current doubles in remaining branches

Correct answer: The other branches continue operating normally

In a parallel circuit, each branch is independently connected to the voltage source, so other branches are unaffected by an open branch.

Question 19: In a compound pulley system with 4 supporting ropes, how much effort is ideally needed to lift a 240-lb load?

48 lb
80 lb
60 lb (Correct answer)
120 lb

Correct answer: 60 lb

In an ideal compound pulley, the effort equals the load divided by the number of supporting ropes: 240/4 = 60 lb.

Question 20: Which condition must be true for Bernoulli's equation to apply without correction?

The fluid must be compressible
The flow must be steady and the fluid ideal (inviscid, incompressible) (Correct answer)
The fluid must be viscous
The pipe must be vertical

Correct answer: The flow must be steady and the fluid ideal (inviscid, incompressible)

Bernoulli's equation in its basic form assumes steady, incompressible, inviscid (frictionless) flow along a streamline.

Question 21: A wedge is used to split a log. If you double the length of the wedge while keeping the same width, what happens to its mechanical advantage?

It halves
It doubles (Correct answer)
It stays the same
It quadruples

Correct answer: It doubles

Mechanical advantage of a wedge = length / width, so doubling the length doubles the mechanical advantage.

Question 22: What is the absolute value of −18?

−18
0
1/18
18 (Correct answer)

Correct answer: 18

The absolute value represents the distance from zero, so |−18| = 18.

Question 23: Read the sentence: 'After the failed attempt, the team convened to analyze what had gone wrong.' What does 'convened' most nearly mean?

Reported separately
Disbanded
Argued
Gathered together (Correct answer)

Correct answer: Gathered together

'Convened' means came together formally for a meeting or discussion, which fits the context of analyzing the failure.

Question 24: What is the slope of the line passing through points (2, 3) and (6, 11)?

4
1
2 (Correct answer)
3

Correct answer: 2

Slope = (11 − 3) / (6 − 2) = 8 / 4 = 2.

Question 25: Read the passage: 'Contrary to popular belief, medieval Europeans did not commonly believe the Earth was flat. Ancient Greek calculations of Earth's circumference were well known to educated medieval scholars, and navigational practices of the era relied on the assumption of a spherical Earth.' The author's tone in this passage is best described as:

Nostalgic for the medieval period
Indifferent to historical accuracy
Highly critical of modern education
Corrective, addressing a common misconception (Correct answer)

Correct answer: Corrective, addressing a common misconception

The author directly counters a popular misconception by presenting historical evidence that medieval scholars understood Earth was round.

Question 26: Which of the following simple machines is fundamentally an inclined plane wrapped around a cylinder?

Pulley
Wedge
Screw (Correct answer)
Lever

Correct answer: Screw

A screw is defined as an inclined plane wrapped helically around a central axis or cylinder. The threads of the screw act as the inclined plane, converting rotational force (torque) into a linear force along the screw's axis.

Question 27: A spring with a spring constant of 50 N/m is compressed 0.4 m from its natural length. How much potential energy is stored in the spring?

4 J (Correct answer)
10 J
20 J
40 J

Correct answer: 4 J

Elastic potential energy = ½kx² = ½ × 50 × 0.16 = 4 J.

Question 28: Which direction will demand more pulling power?

with the rope at an angle to the table (Correct answer)
both orientation are equal
with the rope parallel to the table

Correct answer: with the rope at an angle to the table

When pulling an object with the rope at an angle to the table, only the horizontal component of your pulling force contributes to moving the object forward. The vertical component of the force is directed upwards, reducing the effective horizontal force. To achieve the same effective horizontal pulling force as pulling parallel to the table, you must apply a greater total force along the angled rope, thus demanding more pulling power from the person.

Question 29: An object weighing 80 N sits on a ramp inclined at 30° above the horizontal. What is the component of the gravitational force acting parallel to the ramp surface?

69.3 N
40 N (Correct answer)
80 N
56.6 N

Correct answer: 40 N

The parallel component equals W × sin(30°) = 80 × 0.5 = 40 N.

Question 30: Which type of wrench provides the greatest mechanical advantage when loosening a very tight bolt?

A long breaker bar (Correct answer)
A socket wrench with a short handle
A short open-end wrench
A box wrench

Correct answer: A long breaker bar

A longer handle increases the torque (force × distance) applied to the bolt.

Question 31: A pipe joint is leaking because the threads are stripped. The BEST immediate repair approach is to:

Tighten the joint further with more torque
Replace the entire pipe section
Wrap Teflon tape over the threads and retighten (Correct answer)
Apply epoxy putty to seal the leak from outside

Correct answer: Wrap Teflon tape over the threads and retighten

Teflon tape fills thread gaps and creates a pressure-resistant seal on threaded pipe fittings.

Question 32: A 100W light bulb operates on a 120V circuit. What current does it draw?

1.2A
12A
0.83A (Correct answer)
0.48A

Correct answer: 0.83A

Using P = IV, I = P/V = 100/120 ≈ 0.83A.

Question 33: If the diagonal of a square is 10 units, what is the area of the square?

25 sq units
100 sq units
50 sq units (Correct answer)
75 sq units

Correct answer: 50 sq units

Area of a square given its diagonal d is d^2/2 = 100/2 = 50 sq units.

Question 34: What does it mean when an author uses the phrase 'on the other hand' in a passage?

The author is summarizing information already presented
The author is introducing a contrasting or opposing viewpoint (Correct answer)
The author is concluding the passage
The author is providing an example of the main point

Correct answer: The author is introducing a contrasting or opposing viewpoint

The transition phrase 'on the other hand' signals a shift to a contrasting perspective or opposing idea.

Question 35: A circuit has a 9V battery and a single 3Ω resistor. What power is dissipated?

27W (Correct answer)
6W
3W
81W

Correct answer: 27W

Using P = V²/R = 81/3 = 27W.

Question 36: A lever is 10 feet long with the fulcrum 2 feet from the load end. If a 400 lb load is placed on the short end, how much force is needed on the long end to balance it?

100 lb (Correct answer)
300 lb
150 lb
200 lb

Correct answer: 100 lb

Using the lever principle: 400 × 2 = F × 8, so F = 100 lb.

Question 37: What is the value of x if 16x + 4 = 100?

five
seven
eight
six (Correct answer)

Correct answer: six

To solve for x, first subtract 4 from both sides of the equation: 16x = 100 - 4, which simplifies to 16x = 96. Next, divide both sides by 16: x = 96 / 16. Performing the division yields x = 6.

Question 38: An inclined plane has a mechanical advantage of 5. If the load weighs 300 N, how much effort force is required (ignoring friction)?

60 N (Correct answer)
150 N
1500 N
30 N

Correct answer: 60 N

Effort = load / MA = 300 / 5 = 60 N.

Question 39: Which question is MOST useful for identifying the main idea of a passage?

What vocabulary words does the author use?
What specific details are included in the second paragraph?
How long is the passage?
What is the author primarily trying to communicate to the reader? (Correct answer)

Correct answer: What is the author primarily trying to communicate to the reader?

The main idea reflects what the author most wants the reader to understand, making that question the best guide.

Question 40: Two planes depart from the same airport at the same time, traveling in opposite directions. Plane A travels at 450 mph and Plane B travels at 525 mph. How many hours will it take for them to be 3,900 miles apart?

5 hours
4.5 hours
3.5 hours
4 hours (Correct answer)

Correct answer: 4 hours

Since the planes are traveling in opposite directions, their speeds are combined to find the rate at which the distance between them is increasing. Combined speed = 450 mph + 525 mph = 975 mph. To find the time it takes to be 3,900 miles apart, divide the distance by the combined speed: Time = Distance / Speed = 3900 miles / 975 mph = 4 hours.

OAR (Officer Aptitude Rating) Test

The OAR (Officer Aptitude Rating) Test exam validates essential knowledge and skills required for certification or licensure in this field.

Questions

60 min

Time Limit

60%

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