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Word Knowledge

Liability most nearly means:

handicap

A person or thing whose presence or behavior is likely to cause embarrassment or put one at a disadvantage.

Arithmetic Reasoning

Alex loaned Charlie $300 at an annual interest rate of 6%. If no payments are made, what is the interest owed on this loan at the end of the first year?

$18

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = ($ \frac{6}{100} $) x $300
i = 0.06 x $300
i = $18

Word Knowledge

The soldiers made a massive charge to repel the invaders.

repulse

To resist, reject.

Mechanical Comprehension

If a 25 lbs. weight is placed 3 ft. from the fulcrum at the blue arrow and the green box is 6 ft. from the fulcrum, how much would the green box have to weigh to balance the lever?

12.5 lbs.

To balance this lever the torques on each side of the fulcrum must be equal. Torque is weight x distance from the fulcrum so the equation for equilibrium is:

R_ad_a = R_bd_b

where a represents the left side of the fulcrum and b the right, R is resistance (weight) and d is the distance from the fulcrum.

Solving for R_a, our missing value, and plugging in our variables yields:

R_a = $ \frac{R_bd_b}{d_a} $ = $ \frac{25 lbs. \times 3 ft.}{6 ft.} $ = $ \frac{75 ft⋅lb}{6 ft.} $ = 12.5 lbs.

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.

General Science

Which of the following is not true of light waves?

are mechanical waves

Unlike mechanical sound waves that require a physical medium for propagation, light waves are electromagnetic and can travel through empty space. Light waves are also much faster, travelling at 186,000 m/s vs. 343 m/s for sound waves.

Electronics Information

Capacitors are charged by what type of current?

direct

Capacitors store voltage and are used in circuits as temporary batteries. Capacitors are charged by DC current (AC current passes through a capacitor) and that stored charge can later be dissipated into the circuit as needed. Capacitors are often used to maintain power within a system when it is disconnected from its primary power source or to smooth out or filter voltage within a circuit.

Word Knowledge

The longer Jorge waited in line at the ticket counter, the more his exasperation grew.

irritation

The state of being irritated.

General Science

Which of the following is not a terrestrial planet?

Jupiter

The four planets closest to the Sun (Mercury, Venus, Earth, and Mars) are called terrestrial (Earth-like) planets because, like the Earth, they're solid with inner metal cores covered by rocky surfaces.

General Science

An element in the physical state of __________ maintains a constant volume but their shape depends upon the shape of their container.

liquid

In the liquid state, molecules flow freely around each other and exist at a higher temperature range than the same substance in a solid state. Liquids maintain a constant volume but their shape depends upon the shape of their container.