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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.

Automotive Information

Which of the following is not a characteristic of disc brakes?

uses brake shoes

Both drum brake and disc brake assemblies use friction to stop a car's wheels from turning but each do it in a slightly different way. A drum brake assembly uses a large iron drum attached to the wheel and brake shoes that press against the drum to slow the rotation of the drum and, consequently, the wheel. A disc brake assembly employs friction in the same way as a drum brake but instead uses a rotor, also attached to the wheel, and two brake pads that squeeze against the surface of the rotor.

Arithmetic Reasoning

23 members of a bridal party need transported to a wedding reception but there are only 4 5-passenger taxis available to take them. How many will need to find other transportation?

There are 4 5-passenger taxis available so that's 4 x 5 = 20 total seats. There are 23 people needing transportation leaving 23 - 20 = 3 who will have to find other transportation.

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

If the green arrow in this diagram represents 420 ft⋅lb of work, how far will the box move if it weighs 140 pounds?

3 ft.

The Law of Work states that the work put into a machine is equal to the work received from the machine under ideal conditions. In equation form, that's:

W_in = W_out
F_effort x d_effort = F_resistance x d_resistance

In this problem, the effort work is 420 ft⋅lb and the resistance force is 140 lbs. and we need to calculate the resistance distance:

W_in = F_resistance x d_resistance
420 ft⋅lb = 140 lbs. x d_resistance
d_resistance = \( \frac{420ft⋅lb}{140 lbs.} \) = 3 ft.

General Science

Earth's history is divided into time periods, which of these is the shortest time period?

age

The Earth is approximately 4.6 billion years old and its history is divided into time periods based on the events that took place and the forms of life that were dominant during those periods. The largest graduation of time is the eon and each eon is subdivided into eras, eras into periods, periods into epochs, and epochs into ages.

Arithmetic Reasoning

Find the average of the following numbers: 17, 13, 17, 13.

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{17 + 13 + 17 + 13}{4} \) = \( \frac{60}{4} \) = 15

Mechanical Comprehension

70 lbs. of effort is used by a machine to lift a 350 lbs. box. What is the mechanical advantage of the machine?

Mechanical advantage is resistance force divided by effort force:

MA = \( \frac{F_r}{F_e} \) = \( \frac{350 lbs.}{70 lbs.} \) = 5

Arithmetic Reasoning

Which of the following is not a prime number?

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.

Math Knowledge

If a = 4, b = 2, c = 9, and d = 4, what is the perimeter of this quadrilateral?

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 4 + 2 + 9 + 4
p = 19