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Sample Practice Test Questions

Arithmetic Reasoning

The __________ is the greatest factor that divides two integers.

greatest common factor

The greatest common factor (GCF) is the greatest factor that divides two integers.

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:
\( F_e = \frac{F_r d_r}{d_e} \)
\( F_e = \frac{130 \times 0.5}{1.5} \)
\( F_e = \frac{65.0}{1.5} \)
\( F_e = 43.3 \)
General Science

Which of the following states of matter exists at the lowest temperature?

solid

Solids exist at a lower temperature than liquids which exist at a lower temperature than gases.

Math Knowledge

A cylinder with a radius (r) and a height (h) has a surface area of:

2(π r2) + 2π rh

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.

Word Knowledge
Futile most nearly means:
hopeless
Without purpose, completely ineffective.
Word Knowledge
"Having cake now will preclude dessert later," said Amber's mother.
prevent
To rule out in advance.
Arithmetic Reasoning

What is c5 x 4c7?

4c12

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

c5 x 4c7
(1 x 4)c(5 + 7)
4c12

Shop Information

You need to loosen a bolt in a hard to reach location. Which of the following wrenches would best suit this task?

box-end

Wrenches are used to provide grip and mechanical advantage by applying torque to turn objects (or to keep them from turning). The longer the wrench, the more torque that can be applied. Wrench ends are available in two primary types, open-end and box-end. A box-end wrench encloses the bolt head and is useful when more torque is needed or to maintain contact in difficult to reach locations. An open-end wrench is designed for speedily loosening easier to reach fasteners. Wrenches that feature one open and one box end are called combination wrenches and adjustable wrenches feature an open end with an adjustable width.

Arithmetic Reasoning

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Monty buys two shirts, each with a regular price of $50, how much money will he save?

$20.00

By buying two shirts, Monty will save $50 x \( \frac{40}{100} \) = \( \frac{$50 x 40}{100} \) = \( \frac{$2000}{100} \) = $20.00 on the second shirt.

Mechanical Comprehension

Which of the following is the formula for torque?

τ = rF

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).