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Sample Practice Test Questions

Arithmetic Reasoning

Jennifer scored 73% on her final exam. If each question was worth 4 points and there were 120 possible points on the exam, how many questions did Jennifer answer correctly?

22

Jennifer scored 73% on the test meaning she earned 73% of the possible points on the test. There were 120 possible points on the test so she earned 120 x 0.73 = 88 points. Each question is worth 4 points so she got \( \frac{88}{4} \) = 22 questions right.

Mechanical Comprehension
If you have a gear train with three gears, the first with 24 teeth, the second with 16 teeth, and the third with 4 teeth, what is its mechanical advantage?
6

The mechanical advantage of a gear train is its gear ratio. The gear ratio (Vr) is the product of the gear ratios between the pairs of meshed gears. Let N represent the number of teeth for each gear:

Vr = \( \frac{N_1}{N_2} \) \( \frac{N_2}{N_3} \) \( \frac{N_3}{N_4} \) ... \( \frac{N_n}{N_{n+1}} \)

In this problem, we have three gears so the equation becomes:

Vr = \( \frac{N_1}{N_2} \) \( \frac{N_2}{N_3} \) = \( \frac{24}{16} \) \( \frac{16}{4} \) = \( \frac{24}{4} \) = 6

Mechanical Comprehension

Concurrent forces:

pass through a common point

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

General Science

Gametes have how many pairs of chromosomes?

23

Reproductive (haploid) cells known as gametes have half as many (23) pairs of chromosomes as normal (diploid) cells. When the male gamete (sperm) combines with the female gamete (ovum) through meiosis to form a zygote, each gamete supplies half the chromosomes needed to form the normal diploid cells.

Word Knowledge
The genial host warmly greeted his many guests.
pleasant
Sympathetic, friendly.
Word Knowledge
The best–selling writer was disappointed; his new novel was only a moderate success.
medium
Tending toward the average.
Math Knowledge

Solve 3c + 2c = 9c - 9y + 8 for c in terms of y.

1\(\frac{5}{6}\)y - 1\(\frac{1}{3}\)

To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.

3c + 2y = 9c - 9y + 8
3c = 9c - 9y + 8 - 2y
3c - 9c = -9y + 8 - 2y
-6c = -11y + 8
c = \( \frac{-11y + 8}{-6} \)
c = \( \frac{-11y}{-6} \) + \( \frac{8}{-6} \)
c = 1\(\frac{5}{6}\)y - 1\(\frac{1}{3}\)

General Science

What part of the nervous system is responsible for controlling involuntary actions like breathing, swallowing, and heartbeat?

medulla

Part of the brainstem, the medulla is the connection between the brain and the spinal cord. It controls involuntary actions like breathing, swallowing, and heartbeat.

Word Knowledge
The jewel thief entered the mansion under the pretense of fixing a leaky faucet.
cover
False intention or purpose.
Word Knowledge
Claudia's implausible excuse failed to convince her teacher.
improbable
Unbelievable.