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Sample Practice Test Questions

Arithmetic Reasoning

What is \( \frac{4}{6} \) + \( \frac{4}{14} \)?

\(\frac{20}{21}\)

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 14 are [14, 28, 42, 56, 70, 84, 98]. The first few multiples they share are [42, 84] making 42 the smallest multiple 6 and 14 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{4 x 7}{6 x 7} \) + \( \frac{4 x 3}{14 x 3} \)

\( \frac{28}{42} \) + \( \frac{12}{42} \)

Now, because the fractions share a common denominator, you can add them:

\( \frac{28 + 12}{42} \) = \( \frac{40}{42} \) = \(\frac{20}{21}\)

Mechanical Comprehension

Torque involves a perpendicular force applied to a lever arm that moves around a center of rotation. Increasing the length of the lever arm will do which of the following?

increase torque

Torque measures force applied during rotation: τ = rF.  Torque (τ, the Greek letter tau) = the radius of the lever arm (r) multiplied by the force (F) applied. Radius is measured from the center of rotation or fulcrum to the point at which the perpendicular force is being applied. The resulting unit for torque is newton-meter (N-m) or foot-pound (ft-lb).

Word Knowledge
Eulogy most nearly means:
homage
Speech or writing in praise of deceased.
General Science

Which of the following is not a vector quantity?

mass

Velocity and displacement are vector quantities which means each is fully described by both a magnitude and a direction.  In contrast, scalar quantities are quantities that are fully described by a magnitude only.  A variable indicating a vector quantity will often be shown with an arrow symbol:  \(\vec{v}\)

General Science

Acceleration is the rate of change of velocity per unit of time. Which of these is the formula for acceleration?

\(\vec{a} = { \Delta \vec{v} \over t }\)

Acceleration is the rate of change of velocity per unit of time. In physics, the delta symbol (\(\Delta\)) represents change so the formula for acceleration becomes  \(\vec{a} = { \Delta \vec{v} \over t }\)

General Science

The first step in the water cycle is:

evaporation

The water (hydrologic) cycle describes the movement of water from Earth through the atmosphere and back to Earth. The cycle starts when water evaporates into a gas from bodies of water like rivers, lakes and oceans or transpirates from the leaves of plants.

General Science

The energy posessed by a ball on the window ledge of a tall building is an example of what kind of energy?

potential

Kinetic energy is the energy posessed by a moving object. Potential energy is stored energy in a stationary object based on its location, position, shape, or state.

Electronics Information
diode

This circuit component symbol represents a(n):

diode

A diode allows current to pass easily in one direction and blocks current in the other direction. Diodes are commonly used for rectification which is the conversion of alternating current (AC) into direct current (DC). Because a diode only allows current flow in one direction, it will pass either the upper or lower half of AC waves (half-wave rectification) creating pulsating DC. Multiple diodes can be connected together to utilize both halves of the AC signal in full-wave rectification.

Automotive Information

The primary purpose of the muffler is to:

quiet exhaust

The muffler follows the catalytic converter and absorbs sound to help quiet load exhaust. It is followed by the exhaust pipe which is the final exit point for exhaust gas from the vehicle.

Mechanical Comprehension

Collinear forces:

act along the same line of action

Collinear forces act along the same line of action, concurrent forces pass through a common point and coplanar forces act in a common plane.