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Sample Practice Test Questions

Mechanical Comprehension
48.89 lbs. If A = 10 ft., B = 1 ft., C = 9 ft., the green box weighs 50 lbs. and the blue box weighs 60 lbs., what does the orange box have to weigh for this lever to balance?
48.89 lbs.
In order for this lever to balance, the torque acting on each side of the fulrum must be equal. So, the torque produced by A must equal the torque produced by B and C. Torque is weight x distance from the fulcrum which means that the following must be true for the lever to balance:

fAdA = fBdB + fCdC

For this problem, this equation becomes:

50 lbs. x 10 ft. = 60 lbs. x 1 ft. + fC x 9 ft.

500 ft. lbs. = 60 ft. lbs. + fC x 9 ft.

fC = \( \frac{500 ft. lbs. - 60 ft. lbs.}{9 ft.} \) = \( \frac{440 ft. lbs.}{9 ft.} \) = 48.89 lbs.

Arithmetic Reasoning

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General Science

Elements in the Periodic Table of the Elements are ordered by which of the following?

atomic number

The Periodic Table of the Elements categorizes elements primarily by the number of protons in their nucleus (atomic number) and secondarily by the characteristics they exhibit.

Mechanical Comprehension

Tension is a force that does which of the following?

stretches an object

Tension is a force that stretches or elongates something. When a cable or rope is used to pull an object, for example, it stretches internally as it accepts the weight that it's moving. Although tension is often treated as applying equally to all parts of a material, it's greater at the places where the material is under the most stress.

Mechanical Comprehension

Which of the following is not a type of simple machine?

gear

The six types of simple machines are the lever, wheel and axle, pulley, inclined plane, wedge, and screw.

Math Knowledge

Simplify (9a)(8ab) + (7a2)(8b).

128a2b

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(9a)(8ab) + (7a2)(8b)
(9 x 8)(a x a x b) + (7 x 8)(a2 x b)
(72)(a1+1 x b) + (56)(a2b)
72a2b + 56a2b
128a2b

Automotive Information

Which of the following is not an advantage that disc brakes have over drum brakes?

use less brake fluid

Brakes utlize friction to slow vehicle tires. Drum brakes employ a cast iron drum that roates with the vehicle axle. When hydraulic pressure is applied to the brake assemblies at the wheels, internal pistons expand and push brake shoes outward into contact with the brake drum slowing the rotation of the axle. More powerful disc brakes operate by pinching a rotating disc betweeen two brake pads and allow for a larger surface area to contact the disc, provide more force, and are more easily cooled.

Shop Information

Which of the following nuts prevent loosening via nylon in their threads?

lock

Wrenches are used with threaded fasteners like bolts and nuts. A bolt has external threads while a nut has internal threads and this thread pattern combination allows them to lock together and act as fasteners. Nuts come in a variety of configurations including wing nuts which provide appendages that allow tightening and loosening by hand, slotted nuts that use a cotter pin to lock the nut in place and prevent it from loosening, and lock nuts that also prevent loosening via nylon in their threads. Threads are identified by pitch which is the number of threads per inch.

General Science

Which of these parts of digestion takes place in the mouth?

breaking down starches

Digestion begins in the mouth where the teeth and tongue break down food mechanically through chewing and saliva, via the enzyme salivary amylase, starts to break starches down chemically. From the mouth, food travels down the esophagus where contractions push the food into the stomach.

Mechanical Comprehension

The force exerted on an object due to gravity is called:

weight

Mass is an intrinsic property of matter and does not vary. Weight is the force exerted on the mass of an object due to gravity and a specific case of Newton's Second Law of Motion. Replace force with weight and acceleration with acceleration due to gravity on Earth (g) and the result is the formula for weight: W = mg or, substituting for g, weight equals mass multiplied by 9.8 m/s2.