1) What is the most abundant element, by mass, in the Earth’s crust?
2) The atomic number of an atom is determined by
3) The temperature at which a substance’s solid and liquid states exist in equilibrium is its
4) The atmosphere of Mars is composed mostly of
5) Not counting the sun, the closest star to the Earth is
6) In the town of RodPowersville, all the license plates have four characters. The first character is always an R or a P. The second and third characters are digits between 0 and 9. The fourth character is a single letter of the alphabet from A to Z. How many possible license plates are there?
There are two possibilities (R and P) for the first character. There are ten possible choices (0 through 9) for the second and third characters. There are 26 letters in the alphabet, so there are 26 possible choices for the last characters. Applying the multiplication principle, you get 2 × 10 × 10 × 26 = 5,200.
7) John wants to buy a new computer that costs $3,280. He decides to use his own car and hire out as a taxi during the four months of summer. It costs him $693 to insure his car for those four months. He spends $452 per month on gas. Assuming no other expenses, how many fares will he have to get before he earns enough money for the computer, if he charges an average of $7 per fare?
John needs to make the cost of his expenses, plus the cost of the new computer: $3,280 + $693 + ($452 × 4) = $3,280 + $693 + $1,808 = $5,781. Each fare averages $7, so, to find the number of fares: 5781/7 = 825.85. Because a fraction of a fare isn’t practical, round this up to 826 fares.
8) Jeanie has twice as many quarters as nickels. She has a total of $8.25. How many quarters does she have?
Let x = the number of nickels. That means 2x = the number of quarters. All of Jeanie’s coins total $8.25 or 825 cents. Mathematically, this can be expressed as: 5(x)+25(2x)=825, 5x+50x=825, 55x= 825, x=825/55, x=15. Jeanie has 15 nickels.
9) Patty is 45 years old. She is 15 years older than twice her daughter’s age. How old is Patty’s daughter?
You want to find out Patty’s daughter’s age, so let d = daughter’s age. You know that Patty is 45 and her age is 15 years more than twice the daughter’s age. This can be expressed mathematically as 45 = 2d + 15. The rest is simply skull-sweat. 45-15=2d, 30=2d, 30/2 = d, d=15
10) Patrick was going to buy a car for $5,800. The car dealer offered him two options for buying the car: He could pay the full amount in cash, plus 10 percent for tax and license, or he could pay $1,000 down and $230 a month for 24 months, and the dealer would pick up the tax and license costs. Which is the better deal?
First, compute the total cost of the cash plan: $5,800 + 10 percent = $5,800 + $580 =$6,380. The total cost of the payment plan would be $1,000 + ($230 × 24) = $6,520. The cash plan is a better deal.
11) Cognizant most nearly means
Cognizant is an adjective meaning aware.
12) Abbreviate most nearly means
Abbreviate is a verb meaning to shorten or condense by omitting letters or words.
13) Clarity most nearly means
Clarity is a noun meaning clearness in speech, appearance, or thought.
14) Culminate most nearly means
Culminate is a verb meaning to come to the end or completion.
15) Ardent most nearly means
Ardent is an adjective that means characterized by warmth of feeling, typically expressed in eager, zealous support or activity.
16) Which of the following would be the best title for this passage?
A question that asks you to choose a title for the passage is the main idea question. This main idea is expressed in the second sentence, the topic sentence: It is important for firefighters to be able to recognize each of these types of burns so that they can be sure burn victims are given proper treatment. Choice b expresses this idea and is the only title that encompasses all of the ideas expressed in the passage. Choice a is too limited; it deals only with one of the kinds of burns discussed in the passage. Likewise, choices c and d are also too limited. Choice c covers types of burns but not their treatment, and d deals only with preventing infection, which is only a secondary part of the discussion of treatment.
17) Second-degree burns should be treated with
The answer to this fact question is clearly expressed in the sentence, “These burns should be immersed in warm water and then wrapped in a sterile dressing or bandage.” The hard part is keeping track of whether “These burns” refers to the kind of burns in the question, which is second-degree burns. It’s easy to choose the wrong answer here because all of the answer choices are mentioned in the passage. You need to read carefully to be sure you match the right burn to the right treatment.
18) First-degree burns turn the skin
This is another fact or detail question. The passage says that a first-degree burn “causes the skin to turn red.” Again, it’s important to read carefully because all of the answer choices (except b, which can be eliminated immediately) are listed elsewhere in the passage.
19) Which of the following best expresses the main idea of the passage?
Clearly this is the main idea question, and c is the only answer that encompasses the whole passage. Choices b and d are limited to particular burns or treatments, and answer a discusses only burns and not their treatment. In addition, the second sentence tells us that “It is important for firefighters to be able to recognize each of these types of burns so that they can be sure burn victims are given proper medical treatment.”
20) The word “irate” as it is used in the passage most nearly means
This is a vocabulary question. Irate means ill-tempered, angry. It should be clear that b, happy, cheerful, is not the answer; dealing with happy patients is normally not a great challenge. Patients that are irregular, odd, or d, sloppy, lazy, may be a challenge in their own way, but they aren’t likely to rouse a healthcare worker to anger. In addition, the passage explains that irate patients are not “angry at you,” and irate is used as a synonym for irritable, which describes the patients under discussion in the very first sentence.
21) The passage suggests that healthcare workers
This is an inference question, as the phrase “The passage suggests” might have told you. The idea that angry healthcare workers might give inadequate treatment is implied by the passage as a whole, which seems to be an attempt to prevent angry reactions to irate patients. Furthermore, the last sentence, in particular, makes this inference possible: If you react to this behavior with anger . . . you both lose because the patient is less likely to get the proper care. Choice c is not correct, because while it maybe true that some irate patients have sued the hospital in the past, there is no mention of suits anywhere in this passage. Likewise, choice b is incorrect; the passage does suggest ignoring patients’ insults, but nowhere does it recommend not talking to patients—it simply recommends not talking angrily. And while it may be true that some healthcare workers may lose control of their emotions, the passage does not provide any facts or details to support answer a, that they “easily lose control.” Watch out for keywords like easily that may distort the intent of the passage.
22) An “imprecation” is most likely
If you didn’t know what an imprecation is, the context should reveal that it’s something you can ignore, so neither choice a, an object, nor choice d, a medication, is a likely answer. Furthermore, choice c is not likely either, since an irate patient is not likely to be making jokes.
23) Which of the following best expresses the writer’s views about irate patients?
The writer seems to believe that some irate patients just want attention, as is suggested by, “Often these patients will purposely try to anger you just to get some reaction out of you. If you react to this behavior with anger, they win by getting your attention.” It should be clear that choice b cannot be the answer because it includes an absolute: “Irate patients are always miserable.” Perhaps some of the patients are often miserable, but an absolute like always is almost always wrong. Besides, this passage refers to patients who maybe irate in the hospital, but we have no indication of what these patients are like at other times, and miserable and irate are not exactly the same thing, either. Choice c is also incorrect because the purpose of the passage is to ensure that patients receive proper treatment and that irate patients are not discriminated against because of their behavior. Thus, irate patients should be made to wait for treatment is not a logical answer. Finally, d cannot be correct because though it may be true, there is no discussion of career advancement in the passage.
24) What’s the equation of a line that passes through points (0, -1) and (2, 3)?
4(y + 3) + 7 = 3, 4y + 12 + 7 = 3, 4y + 19 = 3, 4y = –16, y = –4
25) Which of the following is a prime number?
A prime number is a number that can be divided evenly by itself or by one, but not by any other number. Choices (A), (C), and (D) can all be divided evenly by other numbers.
26) What’s the mode of the following series of numbers? 4 4 8 8 8 10 10 12 12
2 feet + 4 feet = 6 feet, and 4 inches plus 8 inches = 12 inches (the equivalent to 1 foot).
27) An aquarium measures 16-inches long x8-inches deep x 18-inches high. What’s its volume?
Volume equals length times width times height (V = lwh). 12 × 8 × 10 = 960 cubic inches.
28) Triangle ABC (shown below) is a(n):
In an equilateral triangle, all sides are equal, and all angles are equal.
29) The sum of the measures of the angles of a trapezoid is:
All quadrilaterals have angles that total of 360 degrees.
30) In the Angle AB (shown below), Angles 1 and 2 are:
If the sum of two angles equals 90 degrees, they’re called complementary angles.
31) The cube of 5 is:
The cube of 5 = 5 × 5 × 5 = 125
32) Flexible most nearly means
Flexible is an adjective that means bendable or pliant. Think “able to be flexed or bent.”
33) Versatile most nearly means
Versatile is an adjective that means able to do many different things.
34) Humble most nearly means
Humble is an adjective that means meek.
35) A synonym for timid is
Timid is an adjective that means fearful.
36) A synonym for frugal is
Frugal is an adjective that means careful with money or thrifty.
37) A stoplight is not working. A test light is touched to the first accessible connector. The test light lights. The next connector towards the light is probed. The test light does not light. This indicates
The first connector showed the potential for current flow up to that point. Between that point and the next one, the path for current flow is lost (open) because of the test light that took the place of the stoplight did not light.
38) An engine is using too much oil. Which one of the following is the most likely cause?
Worn valve guides allow the oil to seep into the combustion chamber, where it becomes part of the combustion process and winds up emitted from the tailpipe.
39) The component that releases the hot air to the outside in an A/C system of a vehicle is
The condenser sits in front of the radiator exposed to the incoming rush of air.
40) A Forstner bit would be used if you were
A forstner bit is used to drill holes that extend nearly all the way through a piece of wood. It is often used to insert cabinet hinges. The bits range from 1/4 inch to 1 inch or larger.
41) If you’re pouring concrete for a walk, you should dig down at least
You should dig down at least 6 inches, cover and level the bottom with 2 inches of sand and/or gravel, and pour the concrete to a depth of 4 inches.
42) The reason for a long shaft on a screwdriver is to
With a long shaft, your hands are a long way from the screw, protecting you from injury if something slips.
43) An electric drill used to drive wood screws should be
A variable-speed, reversible electric drill is best for driving and removing wood screws.
44) The purpose of a lock washer is to
Lock washers spring out against the nut, to prevent unwanted loosening.
45) If a bolt has a left-hand thread,
A left-hand thread works opposite to the usual thread, so a counterclockwise turn will tighten, not loosen, the nut. Why are the other answers incorrect? A, bolts with left-hand threads require left-hand nuts. B, a clockwise turn will loosen the nut. C, it depends on the ratchet wrench.
46) In a Vernier caliper, the Vernier scale is used to
The Vernier scale provides the most accurate digit in the measurement.
47) The signal s(t) shown in the figure below has an amplitude of
The shown signal has an amplitude of 5 volts. Its frequency is 1 HZ, and its DC shift is 5 volts.
48) The total resistance for the circuit shown in the figure below is
The total resistance in the circuit can be calculated as follows: 1 / (1/10 + 1/10) + 10 = 15 Ω
49) Which of the following components has an identification number only?
Diodes have identification numbers to identify them. Capacitance is measured in farads. The inductance of a coil is measured in henrys. Resistance is measured in ohms.
50) Changing the amplitude of a high-frequency signal in correspondence with the amplitude of a low-frequency signal is called
Changing the amplitude of a high-frequency signal in correspondence with the amplitude of a low-frequency signal is called amplitude modulation.
51) In a semiconductor device, the current is conducted by
The current is conducted by electrons and holes in a semiconductor device.
52) Cap screws are ordered by
Cap screws are identified by diameter, pitch (threads per inch), material, hardness, and length. Two common types of thread are National Coarse (NC) and National Fine (NF).
53) Water in an automobile engine may cause damage in cold weather because
Water expands as it freezes. Water is not compressible.
54) Which of the following statements concerning the poles of a magnet is correct?
Unlike poles attract, like poles repel.
55) The wheel barrel is an example of a
On a second class lever, the fulcrum is at one end, the effort is at the other end, and the load is between.
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