Free ASVAB Practice Tests | ASVAB Test Bank

Word Knowledge

Prudent most nearly means:

judicious

Marked by wisdom, shrewd.

Mechanical Comprehension

What is the power output of a 9 hp engine that's 85% efficient?

4207.5 $ \frac{ft⋅lb}{s} $

$ Efficiency = \frac{Power_{out}}{Power_{in}} \times 100 $
Solving for power out: $ P_{o} = \frac{E \times P_{i}}{100} $
Knowing that 1 hp = 550 $ \frac{ft⋅lb}{s} $, P_i becomes 9 hp x 550 $ \frac{ft⋅lb}{s} $ = 4950 $ \frac{ft⋅lb}{s} $
$ P_{o} = \frac{E \times P_{i}}{100} = \frac{85 \times 4950 \frac{ft⋅lb}{s}}{100} $ $ = \frac{420750 \frac{ft⋅lb}{s}}{100} $ = 4207.5 $ \frac{ft⋅lb}{s} $

Shop Information

A __________ is driven by a motor and used to shape and form edge contours.

router

A router is a tool that a worker uses to rout (hollow out), shape, or contour an area in relatively hard material like wood or plastic.

Word Knowledge

Futile most nearly means:

hopeless

Without purpose, completely ineffective.

Math Knowledge

Solve for y:
-6y + 9 = -7 + 7y

1$\frac{3}{13}$

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

-6y + 9 = -7 + 7y
-6y = -7 + 7y - 9
-6y - 7y = -7 - 9
-13y = -16
y = $ \frac{-16}{-13} $
y = 1$\frac{3}{13}$

Math Knowledge

$2$\frac{1}{2}$$

The endpoints of this line segment are at (-2, -7) and (2, 3). What is the slope of this line?

2$\frac{1}{2}$

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -7) and (2, 3) so the slope becomes:

m = $ \frac{\Delta y}{\Delta x} $ = $ \frac{(3.0) - (-7.0)}{(2) - (-2)} $ = $ \frac{10}{4} $
m = 2$\frac{1}{2}$

Mechanical Comprehension

If the green box weighs 20 lbs. and is 1 ft. from the fulcrum, how much weight would need to be placed at the blue arrow to balance the lever if the arrow's distance from the fulcrum is 8 ft.?

2.5 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_b, our missing value, and plugging in our variables yields:

R_b = $ \frac{R_ad_a}{d_b} $ = $ \frac{20 lbs. \times 1 ft.}{8 ft.} $ = $ \frac{20 ft⋅lb}{8 ft.} $ = 2.5 lbs.

General Science

Elements in the same group in the Periodic Table of the Elements have the same:

number of electrons in their outer electron shell

The columns of the Periodic Table are called groups and all elements in a group have the same number of electrons in their outer electron shell. The group that an element occupies generally determines its chemical properties as the number of outer shell electrons establishes the way it reacts with other elements to form molecules. So, because each element has the same number of electrons in its outer shell, each has similar reactivity.

General Science

The connective tissue that connects bones to other bones at joints is called:

ligaments

Tough fibrous cords of connective tissue called tendons connect muscles to the skeleton while another type of connective tissue called ligaments connect bones to other bones at joints (elbow, knee, fingers, spinal column).

Arithmetic Reasoning

What is (z⁵)⁴?

z²⁰

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

(z⁵)⁴
z^{(5 * 4)}
z²⁰