TheoryASVAB
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ASVAB
Of all the options given, the simple machine that offers a mechanical advantage of exactly 1 is the:
Correct — D. A single fixed pulley is a simple machine that offers a mechanical advantage of exactly 1. This means that the input force and the output force are the same. The pulley does not multiply or change the force applied to it. It only changes the direction of the force. -
ASVAB
Which organisms incorporate nonliving atoms and molecules into sugars and other organic molecules?
Correct — D. Only green plants carry out photosynthesis, the process that uses energy and nonliving materials to create nutrients. Decomposers (choice A) release nonliving atoms and molecules into the environment. Carnivores (choice B) use plant-made organic molecules to live. Herbivores (choice D) are types of animals that eat plants to obtain their organic molecules. -
ASVAB
We know that vitamin C is a vitamin that dissolves in water. Hence, which of the following statements is correct?
Correct — A. Vitamin C is a water-soluble vitamin, which means it dissolves in water and is not stored in your body for long periods of time. Instead, your body flushes out any excess vitamin C through urine. This is why it is important to consume vitamin C regularly, as your body does not have the ability to store it like it does with fat-soluble vitamins. -
ASVAB
If the force acting on an object is doubled while keeping the distance constant, what would be the amount of work performed on the object?
Correct — C. As per the formula, if you double the force while keeping the distance constant, the amount of work is also doubled. -
ASVAB
A painter has skillfully adorned a piece of canvas that measures 10 x 14 inches with intricate strokes of color. To allow for a framing masterpiece, the painter has thoughtfully decided to create a 1-inch margin devoid of paint, encompassing the entire perimeter of the canvas.<br/><br/>What proportion of the canvas has been adorned with the painter's artistic creation?
Correct — C. To determine the proportion of the canvas that has been adorned with the painter's artistic creation, we need to calculate the area of the painted portion relative to the total area of the canvas.<br/><br/>The canvas measures 10 x 14 inches, which means the total area is 10 * 14 = 140 square inches.<br/><br/>The painter has decided to create a 1-inch margin devoid of paint around the entire perimeter of the canvas. This means the painted portion will be 10 - 2 * 1 = 8 inches wide and 14 - 2 * 1 = 12 inches tall.<br/><br/>The area of the painted portion is therefore 8 * 12 = 96 square inches.<br/><br/>To find the proportion, we divide the area of the painted portion by the total area of the canvas:<br/><br/>Proportion = (96 / 140) * 100 = 68.57%<br/><br/>Rounded to the nearest tenth, the proportion of the canvas adorned with the painter's artistic creation is 68.5%. -
ASVAB
The supervisor of a small company is planning a new open office layout and believes that employees will require 4 chairs for every 2 desks.<br/><br/>For an office building with 40 desks, how many office chairs will be required based on the ratio of 4 chairs for every 2 desks?
Correct — D. To calculate how many chairs are required for 40 desks, we can use the given ratio of 4 chairs for every 2 desks. <br/><br/>For every 2 desks, we need 4 chairs. So, for 40 desks, we can calculate the required number of chairs as follows:<br/><br/>40 desks * (4 chairs / 2 desks) = 80 chairs<br/><br/>Therefore, the correct answer is 80 chairs. -
ASVAB
A right triangle, which has an area of 24 square feet, consists of one leg that is three times longer than the other leg. To determine the length of the longest side, we need to solve for this value.
Correct — D. For a right triangle, the area can be calculated using the formula:<br/><br/>Area = (1/2) * base * height<br/><br/>Let's assume that the shorter leg of the triangle is x feet. According to the given information, the longer leg is three times longer than the shorter leg, so the longer leg would be 3x feet.<br/><br/>Using the formula for the area of a triangle, we can set up the equation:<br/><br/>24 = (1/2) * x * 3x<br/><br/>48 = 3x^2<br/><br/>16 = x^2<br/><br/>x = 4<br/><br/>So, the shorter leg of the triangle is 4 feet.<br/><br/>To find the length of the longest side, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. In this case, the longest side is the hypotenuse.<br/><br/>Let's denote the length of the longest side (hypotenuse) as c.<br/><br/>Using the Pythagorean theorem, we can set up the equation:<br/><br/>c^2 = (4^2) + (3(4))^2<br/><br/>c^2 = 16 + 144<br/><br/>c^2 = 160<br/><br/>c = √160<br/><br/>c ≈ 12.6<br/><br/>So, the length of the longest side (hypotenuse) is approximately 12.6 feet.<br/><br/>Therefore, the correct answer is B) 12.6. -
ASVAB
If 60% of individuals possess a pet, with two-thirds of these pets being cats, what fraction of the population owns a cat?
Correct — A. To determine the fraction of the population that owns a cat, we need to multiply the percentage of individuals that possess a pet (60%) by the fraction of these pets that are cats (2/3).<br/><br/>60% × 2/3 = (60/100) × 2/3 = 120/300 = 2/5<br/><br/>Therefore, the fraction of the population that owns a cat is 2/5. -
ASVAB
A waitress typically receives an average tip equivalent to 12% of the total cost of the food she serves. If she serves food amounting to $375 in one evening, how much would she earn in tips on average?
Correct — C. Explanation:<br/>To calculate the amount of tips, multiply the total spent on drinks, which is 375, by the tip percentage of 12%. $375 × 0.12 = $45. -
ASVAB
With what number must 3.475817 be multiplied in order to obtain the number 34,758.17?
Correct — D. The decimal must be moved four places to the right. To do this, we must multiply by a number with four zeroes. -
ASVAB
Verna's Canned Vegetables, Inc. aims to color each can of vegetables blue, including both the top and bottom. With a lid diameter (l) of 5 cm and a can height (h) of 9 cm, what is the estimated total surface area that requires blue coloring for each can?
Correct — D. The formula to calculate the total surface area of a cylinder is 2πr² + 2πrh. By summing the surface area of each end to the surface area of the side, the approximate total surface area for each can amounts to 180.6 cm². -
ASVAB
Jerry finds himself perspiring as he faces the challenge of speaking in front of an audience for the first time. Despite his nerves, he recognizes this as an opportunity to prove himself. Though Jerry attempts to appear composed by hiding his trembling hands, he raises his head and offers a smile to the individuals seated before him. However, as he begins to speak, his words become jumbled, and he stumbles over numerous "ums" and "uhs." The increased shaking intensifies his doubts, leading him to question the ease of the task he initially anticipated.<br/><br/>In the passage, Jerry
Correct — C. This answer accurately reflects the main idea of the passage. Jerry initially believed that speaking in front of a large audience would be easier than it actually was. However, he quickly realized that he was mistaken as he stumbled over his words and felt consumed by anxiety. -
ASVAB
Based on Passage 4, which animal is most likely adapted to survive in a grassy environment?
Correct — C. Passage 4 is all about how the coloring of animals helps them to survive by camouflaging them in their given environments. Since grasshoppers are green like grass, choice A is the best answer. The other answer choices do not describe green animals. -
ASVAB
This author implies that
Correct — B. The third sentence and the final sentence imply a routine of sitting on the porch every night after supper. -
ASVAB
In 1962, the Cuban Missile Crisis placed the world on the verge of a nuclear war. Although not a single missile was launched, the crisis is considered by many to be the closest man has come to a nuclear war.<br/><br/>After the failed attempt in 1961 by Cuban exiles to invade Cuba, Fidel Castro, Cuba’s leader, was certain of another attack by the United States. To help defend his country, Castro, an ally of the Soviet Union, asked Premier Nikita Khrushchev for military aid. The USSR sent missiles and supplies to build launch pads in Cuba. These missiles could easily reach American soil.<br/><br/>In October of 1962, the United States discovered the Cuban missile bases. U.S. President John F. Kennedy met with government officials and for seven days debated the situation. He decided to impose a blockade around Cuba to prevent further shipment from the Soviet Union to Cuba. The situation was made public and the American people waited tensely. Kennedy secretly brokered an agreement with Khrushchev. The Soviet Union agreed to remove the weapons from Cuba. Kennedy agreed not to invade Cuba and to also remove US missiles from Turkey.<br/><br/>What caused Castro to think the U.S. would attack Cuba?
Correct — B. This is the reason or cause for Castro's belief that the U.S. might launch an attack. -
ASVAB
What is grounding in the context of electricity?
Correct — C. Grounding is an important aspect of electrical engineering, and indeed anything to do with electricity. It is the process of ensuring that excess electricity from a system goes to the ground instead of being conducted in dangerous ways and harming humans, animals, or structures. It is a requirement for safe electrical engineering. -
ASVAB
The wire of the coil in an ignition system <code>________</code>.
Correct — A. The coil wire in an ignition system is responsible for transmitting the high voltage produced by the coil winding to the distributor cap. From the distributor cap, the voltage is further distributed to the spark plugs for ignition. Without the coil wire, the ignition system cannot function properly as there would be no transmission of voltage to create the spark necessary for combustion in the engine cylinders. -
ASVAB
Which system is required to start an automobile?
Correct — D. A car’s electrical system controls lighting, starting, charging, and accessories. -
ASVAB
If width of a rectangle is increased by 10% and the length is decreased by 20%, by what percent does the area decrease?
Correct — B. Original area = a x b Revised area = 1.1a x 0.8b = 0.88ab<br/><br/>Decrease in area = 0.12 = 12%<br/><br/><b>Key takeaway: </b>The word problems based on basic geometry are easy to tackle if you remember simple formulae ( perimeter, area ) of rectangle, square, circle etc. and their applications. -
ASVAB
If a car is traveling at a speed of 200 km per hour, how many minutes will it take to cover a distance of 60 km?
Correct — D. To find out how many minutes it will take to cover a distance of 60 km at a speed of 200 km per hour, we can use the formula:<br/><br/>time = distance / speed<br/><br/>Plugging in the values, we have:<br/><br/>time = 60 km / 200 km per hour<br/><br/>Simplifying this equation, we can divide both the numerator and denominator by 20 to get:<br/><br/>time = 3 km / 10 km per hour<br/><br/>This can be further simplified to:<br/><br/>time = 3/10 of an hour<br/><br/>To convert this to minutes, we know that there are 60 minutes in an hour. So, multiplying the fraction by 60, we get:<br/><br/>time = (3/10) * 60 minutes<br/>time = 18 minutes<br/><br/>Therefore, it will take 18 minutes to cover a distance of 60 km at a speed of 200 km per hour. -
ASVAB
What is the value of (0.2)5 ?
Correct — A. Tackle the problem in two stages. First find the value of exponent ignoring the decimal. Second, find the position of the decimal.<br/><br/>2<sup>5</sup> = 2 x2 x 2 x2 x 2 x 2 = 32<br/><br/>(0.2)<sup>5 </sup>= 0.2 x 0.2 x 0.2 x 0.2 x 0.2 x 0.2 = 0.00032<br/><br/><b>Key takeaway:</b> In decimal based exponents’ problems, be careful in placing decimal at correct position. -
ASVAB
What are the roots of the equation b<sup>2</sup> + 15 = −8b?
Correct — D. Solution: First rewrite the quadratic equation in standard form. This means getting all the terms on one side and zero on the other side:<br/><br/><table><tbody><tr><td>b<sup>2</sup> + 15</td><td>=</td><td>−8b</td></tr><tr><td>b<sup>2</sup> + 15 + 8b</td><td>=</td><td>−8b + 8b</td></tr><tr><td>b<sup>2</sup> + 8b + 15</td><td>=</td><td>0</td></tr></tbody></table><br/><br/> Now factor the left side of the equation. Set up two pairs of parentheses, and fill in the factors of b<sup>2</sup> as the first terms:<br/><br/>(b )(b )<br/><br/>Now find two factors of 15 that add up to 8. Since 15 is positive, these two factors must have the same sign. And since two negative numbers can't possibly add up to 8, both of these factors must be positive.<br/><br/>The numbers that work are 3 and 5, because 3 × 5 = 15 and 3 + 5 = 8. Put these into the parentheses as the last terms:<br/><br/>(b + 3)(b + 5) = 0<br/><br/>Finally, to find the roots of the equation, set each factor equal to zero and solve for b:<br/><br/><table><tbody><tr><td>b + 3</td><td>=</td><td>0</td><td></td><td style="text-align: right;">b + 5</td><td>=</td><td style="text-align: left;">0</td></tr><tr><td>b + 3 − 3</td><td>=</td><td>0 − 3</td><td></td><td style="text-align: right;">b + 5 − 5</td><td>=</td><td style="text-align: left;">0 − 5</td></tr><tr><td>b</td><td>=</td><td>−3</td><td></td><td style="text-align: right;">b</td><td>=</td><td style="text-align: left;">−5</td></tr></tbody></table> -
ASVAB
In an examination consisting of 4 subjects, John achieved scores of 100, 60, and 55 in three of the subjects. To maintain an average mark of 75 across all four subjects, what score must John have received in the fourth subject?
Correct — A. To find the score John must have received in the fourth subject, we need to consider the average mark across all four subjects. Since John achieved scores of 100, 60, and 55 in three of the subjects, we can calculate the sum of these scores (100 + 60 + 55) which equals 215.<br/><br/>Now, to maintain an average mark of 75 across all four subjects, we need to find the total score John should have received in all four subjects. We can start by multiplying the average mark of 75 by 4 to get the desired total score, which is 300.<br/><br/>To find the score John must have received in the fourth subject, we subtract the sum of the scores achieved in the three subjects from the desired total score. In this case, 300 - 215 equals 85.<br/><br/>Therefore, John must have received a score of 85 in the fourth subject to maintain an average mark of 75 across all four subjects. -
ASVAB
Which figure <b>BEST</b> shows how the objects in the left box will appear if they are fit together?
Correct — D. Only in figure D shapes of pieces are the same. -
ASVAB
The accusation was hurtful
Correct — A. An accusation is a statement, or claim, of wrongdoing. -
ASVAB
Use your knowledge of word roots to determine which word is most similar in meaning to equity.
Correct — D. Solution: The word root equ means equal. -
ASVAB
The letter emphasized two important ideas.
Correct — A. To emphasize is to stress. -
ASVAB
<img src="asset:assets/questions/d03fdd72499d5b0a.png"> <br/><br/>In the figure above, the flat sheet metal pattern that can be bent along the dotted lines to form the completely closed triangular box is
Correct — C. As brace C has the greatest area of support, it is the most secure. -
ASVAB
What is the friction due to air called?
Correct — D. The friction due to air has a special name: air resistance. -
ASVAB
What are the differences between a wedge and an inclined plane?
Correct — B. A wedge is a simple machine that is used for splitting, cutting, or holding objects in place. It has a triangular shape and is typically made of metal or wood. When a wedge is used, it is either driven into an object or used to separate two objects by applying force in a focused and concentrated manner. This motion makes a wedge different from an inclined plane.
ASVAB sample questions
Tap any question below to reveal the answer and a plain-English explanation.
Arithmetic Reasoning A painter has skillfully adorned a piece of canvas that measures 10 x 14 inches with intricate strokes of color. To allow for a framing masterpiece, the painter has thoughtfully decided to create a 1-inch margin devoid of paint, encompassing the entire perimeter of the canvas. What proportion of the canvas has been adorned with the painter's artistic creation?
A. 75%
B. 66%
C. 68,5% ✓
D. 25%
Correct — C. To determine the proportion of the canvas that has been adorned with the painter's artistic creation, we need to calculate the area of the painted portion relative to the total area of the canvas. The canvas measures 10 x 14 inches, which means the total area is 10 * 14 = 140 square inches. The painter has decided to create a 1-inch margin devoid of paint around the entire perimeter of the canvas. This means the painted portion will be 10 - 2 * 1 = 8 inches wide and 14 - 2 * 1 = 12 inches tall. The area of the painted portion is therefore 8 * 12 = 96 square inches. To find the proportion, we divide the area of the painted portion by the total area of the canvas: Proportion = (96 / 140) * 100 = 68.57% Rounded to the nearest tenth, the proportion of the canvas adorned with the painter's artistic creation is 68.5%.
Paragraph Comprehension Jerry finds himself perspiring as he faces the challenge of speaking in front of an audience for the first time. Despite his nerves, he recognizes this as an opportunity to prove himself. Though Jerry attempts to appear composed by hiding his trembling hands, he raises his head and offers a smile to the individuals seated before him. However, as he begins to speak, his words become jumbled, and he stumbles over numerous "ums" and "uhs." The increased shaking intensifies his doubts, leading him to question the ease of the task he initially anticipated. In the passage, Jerry
A. Has to deliver a speech to thousands of people.
B. Tries to do something he hasn’t done in a long time.
C. Thought speaking would be easy, but it was actually hard. ✓
D. Thought speaking would be hard, but it was actually easy.
Correct — C. This answer accurately reflects the main idea of the passage. Jerry initially believed that speaking in front of a large audience would be easier than it actually was. However, he quickly realized that he was mistaken as he stumbled over his words and felt consumed by anxiety.
Auto Shop Information The wire of the coil in an ignition system ________.
A. Transmits voltage from the coil winding to the distributor cap ✓
B. Times the spark
C. Generates the signal that operates the ignition module
D. Transmits voltage from the distributor cap to the spark plug
Correct — A. The coil wire in an ignition system is responsible for transmitting the high voltage produced by the coil winding to the distributor cap. From the distributor cap, the voltage is further distributed to the spark plugs for ignition. Without the coil wire, the ignition system cannot function properly as there would be no transmission of voltage to create the spark necessary for combustion in the engine cylinders.
Assembling Objects Which figure BEST shows how the objects in the left box will appear if they are fit together?
A. B
B. C
C. A
D. D ✓
Correct — D. Only in figure D shapes of pieces are the same.
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