OAR Practice Questions (2026) — Free Sample Questions with Answers

6 free OAR questions from our 25-question bank, grouped by content domain. Each answer explains why the right option is right — and why every wrong option is wrong.

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Math Skills Test (MST)

Question 1

A vehicle travels 150 miles at 50 mph and then returns the same 150 miles at 75 mph. What is its average speed for the whole trip?

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Answer: A

60 mph: Correct. Time = 150/50 + 150/75 = 3 + 2 = 5 hours. Average speed = 300 miles / 5 hours = 60 mph.

62.5 mph: This averages the two speeds. The vehicle spends more time at the slower speed, so the true average is lower.

65 mph: This has no basis in the trip data. It is above the simple average of the two speeds.

58 mph: This is too low. Total distance divided by total time gives exactly 60 mph.

Average speed = total distance / total time. Never simply average the speeds when the time spent at each is different.

Question 2

A division's qualified watchstanders increase from 80 to 100. By what percent did the number increase?

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Answer: B

20%: This divides the change by the new value (20/100). Percent change uses the original value.

25%: Correct. Change / original = 20 / 80 = 0.25 = 25%.

80%: 80% is the original as a fraction of the new value (80/100), not the percent change.

125%: 125% is the new value as a percent of the original. The increase is 25%.

Percent change = (new - original) / original x 100. Always divide by the starting value.

Reading Comprehension Test (RCT)

Question 3

"After a long training exercise, analysts studied the vehicles that returned to base and mapped where they had been damaged. Some proposed adding armor where damage was most common. One analyst objected: the study included only vehicles that made it back. Damage in the areas that appeared untouched may have been exactly what kept other vehicles from returning."

The analyst's objection is based mainly on the idea that

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Answer: A

the study's sample left out the cases most relevant to the decision: Correct. The analyst points out that vehicles destroyed or disabled by damage elsewhere were not in the data, so the sample is biased.

armor should never be added to vehicles that have returned safely: The analyst questions where to add armor. Nothing is said about never adding armor.

the damage maps were drawn inaccurately by the other analysts: The analyst does not question how accurate the maps are, only which vehicles were included.

the vehicles that returned had suffered more damage than the others: The analyst makes no claim about how much damage each group suffered, only that one group is missing.

Survivorship bias: drawing conclusions only from cases that "survived" a filter can hide the very cases that matter most.

Question 4

"Busy leaders read the first lines of a message and often stop there. Writers who place their main point or request at the very beginning, and then supply supporting details, make sure the essential information is received even if the rest is skimmed. Messages that build slowly toward a conclusion risk having their key point missed entirely."

What is the main idea of the passage?

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Answer: A

Messages should state their main point first, followed by supporting details.: Correct. The passage recommends putting the main point first and explains why: readers often stop after the first lines.

Busy leaders should read every message in full before acting.: The passage describes how leaders read. It gives no advice to leaders about reading habits.

Supporting details are unnecessary in professional messages.: The passage says details should follow the main point, not be dropped.

Long messages are always more persuasive than short ones.: The passage does not compare persuasiveness by length, and "always" overstates it.

Main-idea answers capture the recommendation plus its reason. Options that address a different audience or drop part of the advice are distractors.

Mechanical Comprehension Test (MCT)

Question 5

A block-and-tackle has four rope segments supporting a 400-pound load. Ignoring friction, how far must the free end of the rope be pulled to raise the load 3 feet?

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Answer: D

0.75 feet: This divides the lift by the mechanical advantage. The force is reduced, but the rope distance is multiplied.

3 feet: Pulling only 3 feet would give no mechanical advantage. Each supporting segment must shorten by 3 feet.

7 feet: This adds 4 + 3. The rope distance is the lift multiplied by the number of supporting segments.

12 feet: Correct. With 4 supporting segments, MA = 4. Each segment shortens by 3 ft, so the rope is pulled 4 x 3 = 12 ft (with 100 lb of effort).

Machines trade force for distance: effort x effort distance = load x load distance (ideal). Here 100 lb x 12 ft = 400 lb x 3 ft.

Question 6

Three open tanks of different shapes (one narrow, one wide, one cone-shaped) are filled with fresh water to the same depth. How does the water pressure at the bottom of each tank compare?

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Answer: C

Greatest in the wide tank, because it holds the most water: Pressure at a point depends on depth and fluid density, not on the total volume or weight of water in the tank.

Greatest in the narrow tank, because the water is concentrated: A narrower column at the same depth has the same pressure at the bottom, not more.

The same in all three, because pressure depends only on depth and density: Correct. Hydrostatic pressure P = ρgh. With the same liquid and the same depth, the bottom pressure is equal whatever the tank's shape.

Lowest in the cone-shaped tank, because the walls slope inward: Wall shape does not change the pressure at a given depth in a liquid at rest.

Liquid pressure depends on depth and density (P = ρgh), not on the container's shape or the total volume of liquid.

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