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Sample Practice Test Questions

Arithmetic Reasoning

In a class of 24 students, 14 are taking German and 6 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?

7

The number of students taking German or Spanish is 14 + 6 = 20. Of that group of 20, 3 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 20 - 3 = 17 who are taking at least one language. 24 - 17 = 7 students who are not taking either language.

Word Knowledge
Demean most nearly means:
humble
To lower status.
General Science

Which part of the respiratory system helps protect against infection?

pharynx

After air enters through the nose, it passes through the nasal cavity which filters, moistens, and warms it. Further filtering takes place in the pharynx, which also helps protect against infection, and then in the trachea which is just past the epiglottis, responsible for preventing food from entering the airway.

Arithmetic Reasoning

What is \( \frac{3}{3} \) - \( \frac{5}{5} \)?

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50]. The first few multiples they share are [15, 30, 45, 60, 75] making 15 the smallest multiple 3 and 5 share.

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

\( \frac{3 x 5}{3 x 5} \) - \( \frac{5 x 3}{5 x 3} \)

\( \frac{15}{15} \) - \( \frac{15}{15} \)

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

\( \frac{15 - 15}{15} \) = \( \frac{0}{15} \) =

Word Knowledge
Retroactive most nearly means:
retrograde
effective as of a prior time or condition.
Arithmetic Reasoning

The total water usage for a city is 50,000 gallons each day. Of that total, 32% is for personal use and 59% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?

13,500

59% of the water consumption is industrial use and 32% is personal use so (59% - 32%) = 27% more water is used for industrial purposes. 50,000 gallons are consumed daily so industry consumes \( \frac{27}{100} \) x 50,000 gallons = 13,500 gallons.

Word Knowledge
Pretentious most nearly means:
pompous
Making unjustified claims.
Automotive Information

How are the cylinders numbered in V-type engines?

cylinder numbering varies by manufacturer

In V-type engines the numbering sequence varies by manufacturer.

Arithmetic Reasoning

1


1

General Science

Poor balance could indicate an issue with which part of the nervous system?

cerebellum

The cerebellum is a large cluster of nerves at the base of the brain that's responsible for balance, movement, and muscle coordination.