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Sample Practice Test Questions

Mechanical Comprehension

What defines the mechanical advantage of a first class lever?

position of the fulcrum

A first-class lever is used to increase force or distance while changing the direction of the force. The lever pivots on a fulcrum and, when a force is applied to the lever at one side of the fulcrum, the other end moves in the opposite direction. The position of the fulcrum also defines the mechanical advantage of the lever. If the fulcrum is closer to the force being applied, the load can be moved a greater distance at the expense of requiring a greater input force. If the fulcrum is closer to the load, less force is required but the force must be applied over a longer distance. An example of a first-class lever is a seesaw / teeter-totter.

Arithmetic Reasoning

If a mayor is elected with 86% of the votes cast and 68% of a town's 29,000 voters cast a vote, how many votes did the mayor receive?

16,959

If 68% of the town's 29,000 voters cast ballots the number of votes cast is:

(\( \frac{68}{100} \)) x 29,000 = \( \frac{1,972,000}{100} \) = 19,720

The mayor got 86% of the votes cast which is:

(\( \frac{86}{100} \)) x 19,720 = \( \frac{1,695,920}{100} \) = 16,959 votes.

Automotive Information

The spark plug fires during which engine stoke?

power

During the power stroke, just before the piston reaches top dead center, the spark plug fires and ignites the compressed air-fuel mixture. The resulting expansion due to combustion pushes the piston back down the cylinder toward bottom dead center.

Electronics Information
series circuit

This circuit diagram represents a(n):

series circuit

A series circuit has only one path for current to flow. In a series circuit, current (I) is the same throughout the circuit and is equal to the total voltage (V) applied to the circuit divided by the total resistance (R) of the loads in the circuit. The sum of the voltage drops across each resistor in the circuit will equal the total voltage applied to the circuit.

Mechanical Comprehension
If the handles of a wheelbarrow are 1.5 ft. from the wheel axle, how many pounds of force must you exert to lift the handles if it's carrying a 130 lbs. load concentrated at a point 0.5 ft. from the axle?
43.3
This problem describes a second-class lever and, for a second class lever, the effort force multiplied by the effort distance equals the resistance force multipied by the resistance distance: Fede = Frdr. In this problem we're looking for effort force:
\( F_e = \frac{F_r d_r}{d_e} \)
\( F_e = \frac{130 \times 0.5}{1.5} \)
\( F_e = \frac{65.0}{1.5} \)
\( F_e = 43.3 \)
Mechanical Comprehension

The steering wheel of a car is an example of which type of simple machine?

wheel and axle

A wheel and axle uses two different diameter wheels mounted to a connecting axle. Force is applied to the larger wheel and large movements of this wheel result in small movements in the smaller wheel. Because a larger movement distance is being translated to a smaller distance, force is increased with a mechanical advantage equal to the ratio of the diameters of the wheels. An example of a wheel and axle is the steering wheel of a car.

Automotive Information

Which of the following is the result of combustion being initiated by a source other than the spark plug?

pre-ignition

Normal combustion in an engine is initiated by a spark plug and results in the complete burning of the air-fuel mixture. If combustion is initiated by a source other than the spark plug, by a hot spot in the cylinder or combustion chamber for example, pre-ignition results. Detonation results if the air-fuel mixture explodes instead of burning. Detonation can cause extremes in pressure in the combustion chamber leading to engine damage.

Electronics Information

In a series circuit, which of the following is the same across all branches of the circuit?

current

A series circuit has only one path for current to flow. In a series circuit, current (I) is the same throughout the circuit and is equal to the total voltage (V) applied to the circuit divided by the total resistance (R) of the loads in the circuit. The sum of the voltage drops across each resistor in the circuit will equal the total voltage applied to the circuit.

Automotive Information

Just before the piston reaches top dead center, the spark plug fires and ignites the compressed air-fuel mixture. This describes which engine stroke?

power

During the power stroke, just before the piston reaches top dead center, the spark plug fires and ignites the compressed air-fuel mixture. The resulting expansion due to combustion pushes the piston back down the cylinder toward bottom dead center.

Arithmetic Reasoning

A tiger in a zoo has consumed 143 pounds of food in 11 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 195 pounds?

4

If the tiger has consumed 143 pounds of food in 11 days that's \( \frac{143}{11} \) = 13 pounds of food per day. The tiger needs to consume 195 - 143 = 52 more pounds of food to reach 195 pounds total. At 13 pounds of food per day that's \( \frac{52}{13} \) = 4 more days.