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Sample Practice Test Questions

General Science

Which of the following states of matter exists at the lowest temperature?

solid

Solids exist at a lower temperature than liquids which exist at a lower temperature than gases.

General Science

Which part of the respiratory system helps protect against infection?

pharynx

After air enters through the nose, it passes through the nasal cavity which filters, moistens, and warms it. Further filtering takes place in the pharynx, which also helps protect against infection, and then in the trachea which is just past the epiglottis, responsible for preventing food from entering the airway.

Mechanical Comprehension

Connected gears of different numbers of teeth are used together to change which of the following charasteristics of the input force?

torque

Connected gears of different numbers of teeth are used together to change the rotational speed and torque of the input force. If the smaller gear drives the larger gear, the speed of rotation will be reduced and the torque will increase. If the larger gear drives the smaller gear, the speed of rotation will increase and the torque will be reduced.

Arithmetic Reasoning

The total water usage for a city is 50,000 gallons each day. Of that total, 32% is for personal use and 59% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?

13,500

59% of the water consumption is industrial use and 32% is personal use so (59% - 32%) = 27% more water is used for industrial purposes. 50,000 gallons are consumed daily so industry consumes \( \frac{27}{100} \) x 50,000 gallons = 13,500 gallons.

Mechanical Comprehension
3.13 ft. A = 5 ft., the green box weighs 50 lbs., and the blue box weighs 80 lbs. What does distance B need to be for this lever to balance?
3.13 ft.
In order for this lever to balance, the torque acting on side A must equal the torque acting on side B. Torque is weight x distance from the fulcrum which means that the following must be true for the lever to balance:

fAdA = fBdB

For this problem, the equation becomes:

50 lbs. x 5 ft. = 80 lbs. x dB

dB = \( \frac{50 \times 5 ft⋅lb}{80 lbs.} \) = \( \frac{250 ft⋅lb}{80 lbs.} \) = 3.13 ft.

Arithmetic Reasoning

Which of these numbers is a factor of 72?

4

The factors of a number are all positive integers that divide evenly into the number. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.

Mechanical Comprehension
A 290 lb. barrel is rolled up a 14 ft. ramp to a platform that's 2 ft. tall. What effort is required to move the barrel?
41.4 lbs.

This problem describes an inclined plane and, for an inclined plane, the effort force multiplied by the effort distance equals the resistance force multipied by the resistance distance:

Fede = Frdr

Plugging in the variables from this problem yields:

Fe x 14 ft. = 290 lbs. x 2 ft.
Fe = \( \frac{580 ft⋅lb}{14 ft.} \) = 41.4 lbs.

Shop Information

You need to secure a piece of wood while you're drilling a hole. Which of the following would be the most appropriate tool to use?

vise

A vise is a clamp that is anchored to a work station and designed to hold material in place while it is being operated upon.

General Science

The crust and lithosphere of the Earth is made up of which of the following?

plates

The crust and the rigid lithosphere (upper mantle) is made up approximately thirty separate plates. These plates more very slowly on the slightly more liquid mantle (asthenosphere) beneath them. This movement has resulted in continental drift which is the gradual movement of land masses across Earth's surface. Continental drift is a very slow process, occurring over hundreds of millions of years.

General Science

In the heart, blood flows from the right __________ to the lungs then back to the heart via the left __________.

ventricle, atrium

The two largest veins in the body, the venae cavae, pass blood to the right ventricle which pumps the blood to the lungs through the pulmonary artery. Blood picks up oxygen in the lungs and returns it to the left atrium via the pulmonary vein.