ASVAB Practice Test 2 1 / 145 Category: General Science Which type of electromagnetic radiation has the highest frequency? Ultraviolet rays X-rays Gamma rays Visible light Explanation: Gamma rays have the highest frequency (and shortest wavelength) of all electromagnetic radiation, followed by X-rays, then ultraviolet, visible light, and so on. 2 / 145 Category: General Science In a series circuit with three resistors of equal resistance, if the total voltage is 12 volts, what is the voltage drop across each resistor? 12 volts 6 volts 4 volts 2 volts Explanation: In a series circuit, voltage is divided among resistors. With three equal resistors, each receives 12 ÷ 3 = 4 volts. 3 / 145 Category: General Science According to the theory of plate tectonics, what type of plate boundary is most likely to produce volcanic mountain ranges on land? Divergent boundary Convergent boundary (oceanic-continental) Transform boundary Convergent boundary (oceanic-oceanic) Explanation: When an oceanic plate subducts beneath a continental plate at a convergent boundary, melting occurs and magma rises to form volcanic mountain ranges like the Andes or Cascades. 4 / 145 Category: General Science What causes the phases of the Moon as seen from Earth? Earth's shadow falling on the Moon The Moon's rotation on its axis The changing angle between the Sun, Moon, and Earth The Moon's elliptical orbit around Earth Explanation: Moon phases result from the changing angle between the Sun, Moon, and Earth, which determines how much of the Moon's illuminated side we can see from Earth. 5 / 145 Category: General Science Which organelle is responsible for breaking down waste materials and cellular debris, often called the "recycling center" of the cell? Golgi apparatus Lysosome Endoplasmic reticulum Vacuole Explanation: Lysosomes contain digestive enzymes that break down waste materials, worn-out organelles, and cellular debris, acting as the cell's waste disposal system. 6 / 145 Category: General Science In the water cycle, which process involves water vapor changing directly into ice crystals without becoming liquid first? Condensation Evaporation Sublimation Deposition Explanation: Deposition is when water vapor changes directly to ice without passing through the liquid phase. This is how frost forms. Sublimation is the reverse process. 7 / 145 Category: General Science What type of energy transformation occurs in a battery-powered flashlight? Electrical energy to light energy only Chemical energy to electrical energy to light energy Light energy to electrical energy Mechanical energy to light energy Explanation: The battery converts stored chemical energy into electrical energy, which then flows through the bulb and is converted into light (and heat) energy. 8 / 145 Category: General Science Which planet in our solar system has the shortest orbital period around the Sun? Venus Earth Mercury Mars Explanation: Mercury is closest to the Sun and completes its orbit in approximately 88 Earth days, the shortest orbital period of any planet in our solar system. 9 / 145 Category: General Science What is the primary difference between a chemical change and a physical change? Chemical changes are reversible; physical changes are not Physical changes alter the molecular structure; chemical changes do not Chemical changes form new substances; physical changes do not Physical changes release energy; chemical changes absorb energy Explanation: Chemical changes create new substances with different properties (like burning wood into ash). Physical changes alter appearance without changing molecular structure (like melting ice). 10 / 145 Category: General Science In genetics, if a heterozygous tall plant (Tt) is crossed with a homozygous short plant (tt), what percentage of offspring will be short? 0% 25% 50% 75% Explanation: Using a Punnett square: Tt × tt produces Tt, Tt, tt, tt. Two out of four (50%) will be short (tt), assuming tall is dominant. 11 / 145 Category: General Science Which layer of Earth's atmosphere contains the ozone layer that protects us from harmful ultraviolet radiation? Troposphere Stratosphere Mesosphere Thermosphere Explanation: The ozone layer is located in the stratosphere, approximately 15-35 kilometers above Earth's surface, where it absorbs most of the sun's harmful UV radiation. 12 / 145 Category: General Science The pH scale measures the concentration of hydrogen ions in a solution. A substance with a pH of 3 is how many times more acidic than a substance with a pH of 5? 2 times 10 times 100 times 1000 times Explanation: The pH scale is logarithmic. Each whole number decrease represents a 10-fold increase in acidity. From pH 5 to pH 3 is a difference of 2, so 10 × 10 = 100 times more acidic. 13 / 145 Category: General Science According to Newton's Third Law of Motion, when you push against a wall with a force of 50 newtons, what force does the wall exert back on you? 25 newtons in the same direction 50 newtons in the opposite direction 100 newtons in the opposite direction No force is exerted back Explanation: Newton's Third Law states that for every action there is an equal and opposite reaction. The wall pushes back with exactly 50 newtons in the opposite direction. 14 / 145 Category: General Science Which type of rock is formed when existing rock is subjected to extreme heat and pressure without melting, causing its mineral structure to change? Igneous Sedimentary Metamorphic Volcanic Explanation: Metamorphic rocks form when existing rocks are transformed by heat and pressure. Examples include marble (from limestone) and slate (from shale). 15 / 145 Category: General Science During photosynthesis, chlorophyll absorbs light energy to convert carbon dioxide and water into glucose and oxygen. In which cellular organelle does this process primarily occur? Mitochondria Chloroplast Nucleus Ribosome Explanation: Photosynthesis occurs in chloroplasts, which contain chlorophyll. Mitochondria are responsible for cellular respiration, not photosynthesis. 16 / 145 Category: Arithmetic Reasoning If a person invests $5,000 at 6% annual simple interest, how much total interest will be earned after 3 years? $750 $900 $1,050 $1,200 Explanation: Simple Interest = Principal × Rate × Time = $5,000 × 0.06 × 3 = $900. 17 / 145 Category: Arithmetic Reasoning A cyclist travels uphill at 8 mph and downhill on the same path at 12 mph. If the total distance is 40 miles (20 miles each way), what is the average speed for the entire trip? 9.0 mph 9.6 mph 10.0 mph 10.4 mph Explanation: Time uphill = 20/8 = 2.5 hours. Time downhill = 20/12 = 5/3 hours ≈ 1.667 hours. Total time = 4.167 hours. Average speed = 40 ÷ 4.167 = 9.6 mph. 18 / 145 Category: Arithmetic Reasoning If 3/8 of a number is 72, what is 5/6 of that number? 144 156 160 180 Explanation: Let x = the number. (3/8)x = 72, so x = 72 × (8/3) = 192. Now find (5/6) × 192 = 960/6 = 160. 19 / 145 Category: Arithmetic Reasoning A store sells apples for $1.20 per pound and oranges for $0.90 per pound. If you buy 5 pounds of apples and 8 pounds of oranges, what is the total cost? $12.00 $12.60 $13.20 $13.80 Explanation: Apples: 5 × $1.20 = $6.00. Oranges: 8 × $0.90 = $7.20. Total = $6.00 + $7.20 = $13.20. 20 / 145 Category: Arithmetic Reasoning If a car uses 12 gallons of gas to travel 324 miles, how many gallons will it need to travel 567 miles at the same rate? 19 gallons 21 gallons 23 gallons 25 gallons Explanation: Miles per gallon = 324 ÷ 12 = 27 mpg. Gallons needed = 567 ÷ 27 = 21 gallons. 21 / 145 Category: Arithmetic Reasoning A rectangular swimming pool is 25 meters long, 12 meters wide, and 2 meters deep. How many cubic meters of water does it hold when completely filled? 300 cubic meters 450 cubic meters 600 cubic meters 750 cubic meters Explanation: Volume = length × width × depth = 25 × 12 × 2 = 600 cubic meters. 22 / 145 Category: Arithmetic Reasoning If the sum of three consecutive even integers is 84, what is the largest of the three integers? 26 28 30 32 26 28 30 32 Explanation: Let x = first even integer. Then x + (x+2) + (x+4) = 84. Simplify: 3x + 6 = 84, so 3x = 78, x = 26. The three integers are 26, 28, 30. Largest = 30. 23 / 145 Category: Arithmetic Reasoning A container holds a mixture that is 25% alcohol and 75% water. If 8 liters of the mixture is removed and replaced with 8 liters of pure alcohol, the mixture becomes 40% alcohol. What was the original volume of the mixture? 20 liters 24 liters 32 liters 40 liters Explanation: Let x = original volume. Alcohol before: 0.25x. After removing 8L: 0.25x - 0.25(8) = 0.25x - 2. After adding 8L pure alcohol: 0.25x - 2 + 8 = 0.25x + 6. Final: (0.25x + 6)/x = 0.40. Solve: 0.25x + 6 = 0.40x, so 6 = 0.15x, x = 40 liters. 24 / 145 Category: Arithmetic Reasoning A train leaves Station A at 2:00 PM traveling at 60 mph. Another train leaves Station B at 3:00 PM traveling toward Station A at 80 mph. If the stations are 320 miles apart, at what time will the trains meet? 5:00 PM 5:30 PM 6:00 PM 6:30 PM Explanation: By 3:00 PM, the first train has traveled 60 miles, leaving 260 miles between trains. Combined approach speed = 140 mph. Time to meet = 260 ÷ 140 ≈ 1.86 hours (about 1 hour 52 minutes). Meeting time ≈ 5:00 PM. 25 / 145 Category: Arithmetic Reasoning If a shirt originally costs $45 and is on sale for 30% off, then an additional 10% is taken off the sale price at checkout, what is the final price? $28.35 $27.00 $30.50 $31.50 Explanation: First discount: $45 × 0.70 = $31.50. Second discount: $31.50 × 0.90 = $28.35. 26 / 145 Category: Arithmetic Reasoning A recipe calls for 2.5 cups of flour to make 15 cookies. How many cups of flour are needed to make 42 cookies? 5.5 cups 6.0 cups 7.0 cups 7.5 cups Explanation: Set up proportion: 2.5/15 = x/42. Cross multiply: 15x = 2.5 × 42 = 105. Solve: x = 105 ÷ 15 = 7 cups. 27 / 145 Category: Arithmetic Reasoning A rectangular garden is 15 feet wide and 24 feet long. If you walk around the entire perimeter of the garden, how many feet will you walk? 39 feet 48 feet 78 feet 156 feet Explanation: Perimeter = 2(length + width) = 2(24 + 15) = 2(39) = 78 feet. 28 / 145 Category: Arithmetic Reasoning If 5 workers can complete a job in 12 days, how many workers are needed to complete the same job in 8 days, assuming all workers work at the same rate? 6 workers 7 workers 8 workers 9 workers Explanation: Total work = 5 workers × 12 days = 60 worker-days. To complete in 8 days: 60 ÷ 8 = 7.5 workers. Since you can't have half a worker, you need 8 workers to complete the job in 8 days. 29 / 145 Category: Arithmetic Reasoning A car travels 240 miles in 4 hours. If it maintains the same average speed, how many miles will it travel in 7 hours and 30 minutes? 420 miles 450 miles 480 miles 510 miles Explanation: Speed = 240 ÷ 4 = 60 mph. Time = 7.5 hours. Distance = 60 × 7.5 = 450 miles. 30 / 145 Category: Arithmetic Reasoning A store marks up all items by 40% above cost. During a sale, all items are discounted by 25% off the marked price. If an item costs the store $80, what is the sale price? $80 $84 $88 $92 Explanation: Marked price = $80 × 1.40 = $112. Sale price = $112 × 0.75 = $84. (25% off means you pay 75% of the marked price) 31 / 145 Category: Arithmetic Reasoning A water tank can be filled by pipe A in 4 hours and by pipe B in 6 hours. If both pipes are opened simultaneously, how long will it take to fill the empty tank? 2.0 hours 2.4 hours 2.8 hours 3.0 hours Explanation: Pipe A fills 1/4 of the tank per hour; pipe B fills 1/6 per hour. Together: 1/4 + 1/6 = 3/12 + 2/12 = 5/12 per hour. Time = 1 ÷ (5/12) = 12/5 = 2.4 hours. 32 / 145 Category: Word Knowledge The negotiations reached an impasse. Impasse means: Agreement Deadlock Beginning Success Explanation: Impasse means a situation in which no progress is possible; a deadlock or stalemate. 33 / 145 Category: Word Knowledge Benevolent most nearly means: Cruel Kind and generous Indifferent Strict Explanation: Benevolent means well-meaning and kindly; showing goodwill and charitable feelings. 34 / 145 Category: Word Knowledge The general's tactics were astute. Astute means: Foolish Shrewdly perceptive Obvious Reckless Explanation: Astute means having or showing an ability to accurately assess situations and turn them to one's advantage; shrewd and perceptive. 35 / 145 Category: Word Knowledge Meticulous most nearly means: Careless Extremely careful Quick Sloppy Explanation: Meticulous means showing great attention to detail; very careful and precise. 36 / 145 Category: Word Knowledge The evidence was corroborated by multiple witnesses. Corroborated means: Denied Confirmed Questioned Ignored Explanation: Corroborated means confirmed or supported with evidence or testimony; to make more certain. 37 / 145 Category: Word Knowledge Pragmatic most nearly means: Impractical Idealistic Practical Theoretical Explanation: Pragmatic means dealing with things in a practical, realistic way based on actual circumstances rather than theory. 38 / 145 Category: Word Knowledge The soldier's tenacity impressed his commanding officer. Tenacity means: Weakness Persistent determination Confusion Laziness Explanation: Tenacity means the quality of being determined and persistent; not giving up easily. 39 / 145 Category: Word Knowledge Scrutinize most nearly means: Ignore Examine closely Accept quickly Dismiss Explanation: Scrutinize means to examine or inspect something very carefully and thoroughly. 40 / 145 Category: Word Knowledge The scientist's hypothesis was plausible. Plausible means: Impossible Believable Complex Proven Explanation: Plausible means seeming reasonable or probable; credible or believable. 41 / 145 Category: Word Knowledge Ominous most nearly means: Cheerful Threatening Unclear Peaceful Explanation: Ominous means suggesting that something bad is going to happen; threatening or menacing. 42 / 145 Category: Word Knowledge The general showed clemency to the captured soldiers. Clemency means: Harshness Mercy Indifference Punishment Explanation: Clemency means mercy, leniency, or forgiveness, especially toward someone who could be treated more harshly. 43 / 145 Category: Word Knowledge Brevity most nearly means: Length Shortness Complexity Clarity Explanation: Brevity means shortness of time or duration; conciseness in speech or writing. 44 / 145 Category: Word Knowledge The witness gave a candid response during testimony. Candid means: Rehearsed Dishonest Frank and honest Confusing Explanation: Candid means truthful, straightforward, and honest, especially about difficult or sensitive matters. 45 / 145 Category: Word Knowledge Ambiguous most nearly means: Clear Uncertain Obvious Direct Explanation: Ambiguous means unclear, open to more than one interpretation, or having multiple possible meanings. 46 / 145 Category: Word Knowledge The commander's decision was irrevocable. Irrevocable means: Temporary Cannot be changed Questionable Popular Explanation: Irrevocable means permanent and unable to be changed, reversed, or recovered. 47 / 145 Category: Word Knowledge Alleviate most nearly means: Worsen Reduce Ignore Complicate Explanation: Alleviate means to make something less severe or more bearable, to reduce or relieve. 48 / 145 Category: Paragraph Comprehension The Wright brothers' success at Kitty Hawk in 1903 was not merely about building a flying machine; it represented a systematic approach to problem-solving. Unlike many competitors who relied on intuition, the Wrights conducted methodical experiments with kites and gliders, collected data on wing designs in their wind tunnel, and carefully tested each component. Their empirical methodology, as much as their mechanical skill, enabled them to achieve powered flight. The passage emphasizes that the Wright brothers' success was primarily due to: Luck and timing A systematic, scientific approach Financial resources Government support Explanation: The passage emphasizes their "systematic approach," "methodical experiments," "collected data," and "empirical methodology" as keys to their success. 49 / 145 Category: Paragraph Comprehension Effective time management is crucial for military success. Operations require precise coordination, with units arriving at designated locations at specific times. A delay of even a few minutes can compromise an entire mission, exposing forces to unnecessary risk or allowing adversaries to respond. Therefore, military training emphasizes punctuality and the ability to estimate and allocate time accurately. The tone of this passage is: Humorous Serious and instructive Casual Skeptical Explanation: The passage uses formal language and provides important information about military operations in a straightforward, instructional manner, making it serious and instructive. 50 / 145 Category: Paragraph Comprehension The Panama Canal, completed in 1914, represented one of the greatest engineering achievements of its time. By creating a navigable waterway between the Atlantic and Pacific Oceans, it eliminated the need for ships to travel around South America, reducing voyage times by thousands of miles. The construction faced enormous challenges, including tropical diseases, difficult terrain, and the massive scale of excavation required. What is implied about the construction of the Panama Canal? It was easy and quick It faced significant obstacles and difficulties It was completed without any problems It had no impact on shipping Explanation: The passage states construction "faced enormous challenges" including diseases, terrain, and excavation scale, implying significant obstacles. 51 / 145 Category: Paragraph Comprehension Antibiotics revolutionized medicine by providing effective treatment for bacterial infections that were once deadly. However, the overuse and misuse of antibiotics has led to antibiotic-resistant bacteria, creating "superbugs" that don't respond to standard treatments. This growing resistance threatens to return us to a pre-antibiotic era where common infections could become life-threatening again. Based on the passage, antibiotic resistance is primarily caused by: Natural bacterial evolution only Overuse and misuse of antibiotics Lack of new antibiotic development Bacterial mutations alone Explanation: The passage directly states that "overuse and misuse of antibiotics has led to antibiotic-resistant bacteria." 52 / 145 Category: Paragraph Comprehension The doctrine of mutually assured destruction (MAD) dominated Cold War nuclear strategy. This concept held that if two opposing sides possessed enough nuclear weapons to destroy each other completely, neither would initiate a conflict, as it would result in the annihilation of both. While critics argued this created a precarious balance, proponents maintained it prevented direct military confrontation between superpowers for decades. The passage suggests that MAD: Was universally supported Had both supporters and critics Led to nuclear war Was only a theoretical concept Explanation: The passage explicitly mentions both "critics" who "argued this created a precarious balance" and "proponents" who believed it prevented confrontation. 53 / 145 Category: Paragraph Comprehension Benjamin Franklin's contributions to science were as significant as his political achievements. His experiments with electricity, including the famous kite experiment, helped establish fundamental principles of electrical theory. He invented the lightning rod, bifocals, and the Franklin stove. His systematic approach to scientific inquiry and his practical inventions demonstrated that science could improve everyday life. What would the author most likely agree with? Franklin was only a politician Science and practical application should be separated Franklin showed that science can have practical benefits for daily life Franklin's political work was unimportant Explanation: The passage emphasizes that Franklin's "practical inventions demonstrated that science could improve everyday life," indicating the author values the practical application of science. 54 / 145 Category: Paragraph Comprehension The concept of camouflage in military operations extends beyond visual concealment. Modern military forces must also consider thermal signatures, radar cross-sections, and acoustic signatures. While traditional camouflage patterns help soldiers blend into their environment visually, advanced detection technologies require additional countermeasures. This multi-spectral approach to concealment represents a significant evolution in military tactics. In this passage, "multi-spectral" most nearly means: Single-focused Covering multiple types of detection Only visual Simple Explanation: The passage discusses concealment across visual, thermal, radar, and acoustic detection, indicating "multi-spectral" means covering multiple types of detection methods. 55 / 145 Category: Paragraph Comprehension Proper hydration is essential for military personnel, especially during physical training and field operations. Dehydration can impair cognitive function, reduce physical performance, and in severe cases, lead to heat exhaustion or heat stroke. Soldiers should drink water regularly throughout the day, not just when thirsty, as thirst is often a late indicator of dehydration. In hot climates or during intense activity, fluid intake should be increased significantly. The author's primary purpose is to: Describe symptoms of dehydration Explain the importance of proper hydration for military personnel Compare different types of beverages Discuss climate differences Explanation: The passage focuses on why hydration is essential for military personnel and provides guidance on proper hydration practices. 56 / 145 Category: Paragraph Comprehension The Industrial Revolution, which began in Britain in the late 18th century, fundamentally transformed society. Factories replaced cottage industries, cities grew rapidly as workers migrated from rural areas, and mass production became possible. While this period brought economic growth and technological advancement, it also created harsh working conditions, child labor, and environmental pollution that would take decades to address. Based on the passage, you can conclude that the Industrial Revolution: Only had positive effects on society Had both beneficial and harmful effects Began in America Primarily affected rural areas Explanation: The passage describes both positive effects (economic growth, technological advancement) and negative effects (harsh conditions, pollution), indicating both beneficial and harmful impacts. 57 / 145 Category: Paragraph Comprehension Sonar technology uses sound waves to detect objects underwater. The system sends out sound pulses that travel through water and bounce off objects, returning as echoes. By measuring the time it takes for echoes to return and analyzing their characteristics, sonar can determine the distance, size, and shape of underwater objects. This technology is crucial for submarine navigation, fish detection, and ocean floor mapping. According to the passage, how does sonar determine distance to objects? By measuring water temperature By measuring the time it takes for sound echoes to return By analyzing water pressure By detecting light reflection Explanation: The passage explicitly states that sonar determines distance "by measuring the time it takes for echoes to return." 58 / 145 Category: Paragraph Comprehension Military leadership requires more than just authority; it demands the ability to inspire trust and confidence in subordinates. Effective leaders must communicate clearly, make decisive decisions under pressure, and demonstrate unwavering commitment to their mission and their people. The best leaders lead by example, showing the same dedication and discipline they expect from their troops. What is the main idea of this passage? Military leaders must have authority Effective military leadership requires multiple qualities beyond just authority Communication is the only important skill for leaders Leaders should focus primarily on their mission Explanation: The passage emphasizes that leadership requires "more than just authority" and lists multiple essential qualities, making B the main idea. 59 / 145 Category: Mathematics Knowledge What is the greatest common factor (GCF) of 48 and 72? 12 16 24 36 Explanation: Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72. The greatest common factor is 24. 60 / 145 Category: Mathematics Knowledge If the perimeter of a square is 68 inches, what is the length of one side? 13 inches 15 inches 17 inches 19 inches Explanation: Perimeter of square = 4 × side. So side = 68 ÷ 4 = 17 inches. 61 / 145 Category: Mathematics Knowledge Simplify: 3² + 2³ - 4¹ 9 12 13 17 Explanation: 3² = 9, 2³ = 8, 4¹ = 4. So 9 + 8 - 4 = 12. 62 / 145 Category: Mathematics Knowledge In a triangle, two angles measure 45° and 67°. What is the measure of the third angle? 58° 62° 68° 72° Explanation: The sum of angles in a triangle is 180°. Third angle = 180° - 45° - 67° = 68°. 63 / 145 Category: Mathematics Knowledge What is the least common multiple (LCM) of 12 and 18? 36 54 72 108 Explanation: Multiples of 12: 12, 24, 36, 48... Multiples of 18: 18, 36, 54... The smallest common multiple is 36. 64 / 145 Category: Mathematics Knowledge Solve for y: 4y/5 = 16 12 16 20 24 Explanation: Multiply both sides by 5: 4y = 80. Divide both sides by 4: y = 20. 65 / 145 Category: Mathematics Knowledge What is the volume of a rectangular prism with length 8 cm, width 5 cm, and height 6 cm? 180 cubic cm 200 cubic cm 240 cubic cm 280 cubic cm Explanation: Volume = length × width × height = 8 × 5 × 6 = 240 cubic cm. 66 / 145 Category: Mathematics Knowledge If 5x + 3 > 23, what is the smallest integer value of x? 3 4 5 6 Explanation: Solve the inequality: 5x + 3 > 23, so 5x > 20, which gives x > 4. The smallest integer greater than 4 is 5. 67 / 145 Category: Mathematics Knowledge What is 35% of 240? 70 77 84 91 Explanation: 35% = 0.35. Multiply: 0.35 × 240 = 84. 68 / 145 Category: Mathematics Knowledge Factor completely: x² - 9 (x - 3)(x - 3) (x + 3)(x + 3) (x - 3)(x + 3) Cannot be factored Explanation: This is the difference of squares: x² - 9 = x² - 3² = (x - 3)(x + 3). 69 / 145 Category: Mathematics Knowledge What is the value of √(144/16)? 3 4 6 9 Explanation: √(144/16) = √144 / √16 = 12/4 = 3. 70 / 145 Category: Mathematics Knowledge If a right triangle has legs of 9 cm and 12 cm, what is the length of the hypotenuse? 15 cm 18 cm 21 cm 25 cm Explanation: Use Pythagorean theorem: a² + b² = c². So 9² + 12² = c², which gives 81 + 144 = 225, so c = √225 = 15 cm. 71 / 145 Category: Mathematics Knowledge Simplify: (2x + 5)(3x - 4) 6x² + 7x - 20 6x² - 20 6x² + 23x - 20 6x² + 7x + 20 Explanation: Use FOIL: (2x)(3x) + (2x)(-4) + (5)(3x) + (5)(-4) = 6x² - 8x + 15x - 20 = 6x² + 7x - 20. 72 / 145 Category: Mathematics Knowledge What is the area of a circle with a diameter of 14 inches? (Use π = 3.14) 43.96 square inches 153.86 square inches 175.84 square inches 615.44 square inches Explanation: Radius = 14 ÷ 2 = 7 inches. Area = πr² = 3.14 × 7² = 3.14 × 49 = 153.86 square inches. 73 / 145 Category: Mathematics Knowledge If 3x - 7 = 2x + 11, what is the value of x? 6 12 18 24 Explanation: Subtract 2x from both sides: x - 7 = 11. Add 7 to both sides: x = 18. 74 / 145 Category: Electronics Information What is the unit of electrical power? Volt Ampere Watt Ohm Explanation: The watt (W) is the unit of electrical power. Volts measure voltage, amperes measure current, and ohms measure resistance. 75 / 145 Category: Electronics Information In a circuit diagram, what does a zigzag line symbol represent? Battery Resistor Switch Capacitor Explanation: A zigzag line is the standard symbol for a resistor in circuit diagrams. 76 / 145 Category: Electronics Information What happens to resistance when the length of a wire is doubled while keeping other factors constant? Resistance is halved Resistance stays the same Resistance is doubled Resistance is quadrupled Explanation: Resistance is directly proportional to length. Doubling the length doubles the resistance, as electrons must travel through more material. 77 / 145 Category: Electronics Information A semiconductor is a material that: Always conducts electricity Never conducts electricity Conducts electricity better than insulators but worse than conductors Only conducts at high temperatures Explanation: Semiconductors have electrical conductivity between conductors (like copper) and insulators (like rubber), making them essential for electronic devices. 78 / 145 Category: Electronics Information What is the primary function of an alternator in a vehicle? To start the engine To charge the battery while the engine runs To regulate fuel flow To control emissions Explanation: An alternator converts mechanical energy from the engine into electrical energy to charge the battery and power electrical systems while the engine is running. 79 / 145 Category: Electronics Information In a circuit with three resistors in series (4Ω, 6Ω, and 10Ω), what is the total resistance? 20 ohms 16 ohms 12 ohms 8 ohms Explanation: In a series circuit, total resistance is the sum of all resistances: 4 + 6 + 10 = 20 ohms. 80 / 145 Category: Electronics Information What instrument is used to measure electrical resistance? Voltmeter Ammeter Ohmmeter Wattmeter Explanation: An ohmmeter measures electrical resistance in ohms. A voltmeter measures voltage, and an ammeter measures current. 81 / 145 Category: Electronics Information A transistor can function as: A resistor only An amplifier or switch A power source A capacitor only Explanation: Transistors are semiconductor devices that can amplify electrical signals or act as electronic switches, fundamental components in modern electronics. 82 / 145 Category: Electronics Information What is the main difference between AC and DC current? AC is safer than DC DC changes direction periodically, AC does not AC changes direction periodically, DC flows in one direction DC is only used in batteries Explanation: Alternating Current (AC) periodically reverses direction, while Direct Current (DC) flows continuously in one constant direction. 83 / 145 Category: Electronics Information What does a resistor color code of Brown-Black-Red represent in ohms? 102 ohms 120 ohms 1,000 ohms 10,000 ohms Explanation: Brown = 1, Black = 0, Red = ×100. So 10 × 100 = 1,000 ohms (1 kΩ). 84 / 145 Category: Electronics Information In a series circuit, if one component fails and creates an open circuit, what happens to the rest of the circuit? Only that component stops working The entire circuit stops working Other components work at higher power The circuit continues normally Explanation: In a series circuit, all components are connected in a single path. If one component fails (open circuit), current cannot flow and the entire circuit stops working. 85 / 145 Category: Electronics Information What is the purpose of a fuse in an electrical circuit? To increase voltage To store energy To protect against overcurrent To amplify signals Explanation: A fuse is a safety device that melts and breaks the circuit when current exceeds a safe level, protecting against overcurrent and potential fires. 86 / 145 Category: Electronics Information If a circuit has a power of 120 watts and a voltage of 24 volts, what is the current? 3 amperes 5 amperes 8 amperes 10 amperes Explanation: Using P = V × I, solve for current: I = P/V = 120/24 = 5 amperes. 87 / 145 Category: Electronics Information A diode primarily allows current to flow in: Both directions equally One direction only No direction Alternating directions Explanation: A diode is a semiconductor device that allows current to flow in only one direction, blocking current in the reverse direction. 88 / 145 Category: Electronics Information What type of current does a standard household battery produce? Alternating Current (AC) Direct Current (DC) Pulsating Current Variable Current Explanation: Batteries produce Direct Current (DC), which flows in one constant direction, unlike AC which alternates direction. 89 / 145 Category: Electronics Information In a parallel circuit with three identical resistors of 12 ohms each, what is the total resistance? 4 ohms 12 ohms 36 ohms 48 ohms Explanation: In a parallel circuit with identical resistors, total resistance = R/n = 12/3 = 4 ohms. 90 / 145 Category: Electronics Information What is the primary function of a capacitor in an electronic circuit? To resist the flow of current To store electrical energy To convert AC to DC To measure voltage Explanation: A capacitor stores electrical energy in an electric field between two conductive plates separated by an insulating material. 91 / 145 Category: Electronics Information In a circuit with a voltage of 24 volts and a resistance of 8 ohms, what is the current flow according to Ohm's Law? 2 amperes 3 amperes 4 amperes 6 amperes Explanation: Using Ohm's Law (V = I × R), solve for current: I = V/R = 24/8 = 3 amperes. 92 / 145 Category: Auto Information What is the purpose of the catalytic converter in a vehicle's exhaust system? To reduce engine noise To increase horsepower To reduce harmful emissions To improve fuel economy Explanation: The catalytic converter uses chemical reactions to convert harmful pollutants (carbon monoxide, hydrocarbons, nitrogen oxides) into less harmful substances before they exit the exhaust. 93 / 145 Category: Auto Information Which type of engine typically produces more torque and is commonly used in heavy-duty trucks? Gasoline engine Diesel engine Electric motor Rotary engine Explanation: Diesel engines produce more torque than gasoline engines due to higher compression ratios and different combustion characteristics, making them ideal for heavy-duty applications. 94 / 145 Category: Auto Information What does ABS stand for in automotive braking systems? Automatic Brake System Anti-lock Braking System Advanced Brake Safety Assisted Braking System Explanation: ABS stands for Anti-lock Braking System, which prevents wheels from locking up during hard braking, maintaining steering control and reducing stopping distance. 95 / 145 Category: Auto Information What automotive component converts the low voltage from the battery into the high voltage needed to create a spark at the spark plugs? Alternator Starter motor Ignition coil Fuel injector Explanation: The ignition coil transforms the battery's 12-volt current into thousands of volts needed to create a spark strong enough to ignite the fuel-air mixture. 96 / 145 Category: Auto Information In a manual transmission vehicle, what component must be engaged to change gears? Accelerator Brake Clutch Parking brake Explanation: The clutch disconnects the engine from the transmission, allowing gears to be changed without damaging the transmission or stalling the engine. 97 / 145 Category: Auto Information What is the primary function of motor oil in an engine? To cool the engine only To clean the engine only To lubricate moving parts and reduce friction To increase fuel efficiency only Explanation: Motor oil's primary function is to lubricate moving parts, reducing friction and wear. It also helps cool, clean, and protect engine components, but lubrication is its main purpose. 98 / 145 Category: Auto Information In a disc brake system, what component actually contacts the rotor to create friction and slow the vehicle? Brake drum Brake shoe Brake pad Brake caliper Explanation: Brake pads are pressed against the brake rotor (disc) by the caliper to create friction that slows the vehicle. Brake shoes are used in drum brake systems. 99 / 145 Category: Auto Information What is the primary purpose of the differential in a vehicle's drivetrain? To increase engine power To allow wheels to rotate at different speeds during turns To shift gears automatically To store transmission fluid Explanation: The differential allows the drive wheels to rotate at different speeds, which is necessary when turning corners (the outer wheel travels farther and must rotate faster). 100 / 145 Category: Auto Information Which system converts the rotating motion of the engine into the up-and-down motion needed to open and close the valves? Crankshaft Camshaft Piston Connecting rod Explanation: The camshaft has lobes that push on valve lifters, converting its rotational motion into the linear motion that opens and closes the engine's intake and exhaust valves. 101 / 145 Category: Auto Information What component prevents an engine from overheating by regulating coolant flow? Water pump Radiator Thermostat Cooling fan Explanation: The thermostat regulates coolant flow based on engine temperature, opening when the engine gets hot and closing when cool to maintain optimal operating temperature. 102 / 145 Category: Auto Information In a four-stroke internal combustion engine, what is the correct order of the strokes? Intake, Power, Compression, Exhaust Intake, Compression, Power, Exhaust Compression, Intake, Power, Exhaust Power, Compression, Intake, Exhaust Explanation: The four-stroke cycle operates in this order: Intake (fuel-air mixture enters), Compression (mixture is compressed), Power (spark ignites mixture), Exhaust (burnt gases expelled). 103 / 145 Category: Shop Information Which power tool is primarily used for smoothing and finishing wood surfaces? Circular saw Router Sander Jigsaw Explanation: Sanders use abrasive material to smooth and finish wood surfaces. Types include belt sanders, orbital sanders, and random orbital sanders. 104 / 145 Category: Shop Information What type of screwdriver has a star-shaped tip? Flathead Phillips Torx Robertson Explanation: Torx (also called star) screwdrivers have a 6-point star-shaped tip that provides better torque transfer and reduces cam-out compared to Phillips or flathead. 105 / 145 Category: Shop Information Which sandpaper grit number indicates the coarsest abrasive? 40 grit 100 grit 220 grit 400 grit Explanation: Lower grit numbers indicate coarser sandpaper with larger abrasive particles. 40 grit is very coarse for heavy material removal, while 400 is very fine for finishing. 106 / 145 Category: Shop Information What is the purpose of a countersink bit? To make holes larger To create a cone-shaped recess for screw heads to sit flush To remove stripped screws To drill pilot holes Explanation: A countersink bit creates a cone-shaped depression that allows flathead screw heads to sit flush with or below the material surface for a clean appearance. 107 / 145 Category: Shop Information Which type of pliers is designed to grip and turn objects and has an adjustable pivot point for different jaw sizes? Needle-nose pliers Slip-joint pliers Locking pliers Cutting pliers Explanation: Slip-joint pliers have an adjustable pivot that allows the jaw opening to be changed to accommodate different sized objects. 108 / 145 Category: Shop Information What is the main difference between a crosscut saw and a ripsaw? Crosscut saws cut across the grain; ripsaws cut with the grain Crosscut saws are for metal; ripsaws are for wood Crosscut saws are power tools; ripsaws are hand tools There is no difference Explanation: Crosscut saws have teeth designed to cut across wood grain, while ripsaws have teeth shaped to cut along (parallel to) the grain efficiently. 109 / 145 Category: Shop Information Which tool would be most appropriate for making a hole in metal? Wood drill bit Spade bit Twist drill bit Forstner bit Explanation: Twist drill bits are designed for drilling through metal, plastic, and wood. They have a pointed tip and spiral flutes that remove material as they cut. 110 / 145 Category: Shop Information What type of joint is created when two pieces of wood are joined at a 45-degree angle, commonly used in picture frames? Butt joint Dovetail joint Miter joint Mortise and tenon joint Explanation: A miter joint connects two pieces cut at matching angles (typically 45 degrees) to form a corner, commonly seen in picture frames and molding. 111 / 145 Category: Shop Information Which measuring tool is used to check if a surface is perfectly horizontal? Protractor Caliper Level Square Explanation: A level contains a liquid-filled vial with an air bubble that centers when the surface is perfectly horizontal (or vertical, depending on orientation). 112 / 145 Category: Shop Information What is the primary purpose of a ball-peen hammer? Driving nails into wood Shaping metal and setting rivets Breaking concrete Removing nails Explanation: A ball-peen hammer has a flat face and a rounded (ball) end, designed for shaping metal, setting rivets, and metalworking tasks rather than carpentry. 113 / 145 Category: Shop Information Which type of saw is specifically designed for cutting curves and intricate shapes in wood? Hacksaw Crosscut saw Coping saw Ripsaw Explanation: A coping saw has a thin, flexible blade held in a C-shaped frame, making it ideal for cutting curves, circles, and intricate patterns in wood. 114 / 145 Category: Mechanical Comprehension According to Pascal's principle, pressure applied to a confined fluid: Decreases with depth Is transmitted equally throughout the fluid Only affects the top surface Converts to heat energy Explanation: Pascal's principle states that pressure applied to a confined fluid is transmitted undiminished throughout the fluid in all directions. 115 / 145 Category: Mechanical Comprehension Which has more kinetic energy: a 2 kg object moving at 6 m/s or a 3 kg object moving at 4 m/s? The 2 kg object The 3 kg object They have equal kinetic energy Cannot be determined Explanation: KE₁ = ½(2)(6²) = ½(2)(36) = 36 J. KE₂ = ½(3)(4²) = ½(3)(16) = 24 J. The 2 kg object has more kinetic energy. 116 / 145 Category: Mechanical Comprehension An object is placed on a balance beam 8 feet from the fulcrum and weighs 50 pounds. How far from the fulcrum must a 100-pound object be placed on the opposite side to balance? 2 feet 4 feet 8 feet 16 feet Explanation: For balance, moments must be equal: 50 × 8 = 100 × x, so 400 = 100x, giving x = 4 feet. 117 / 145 Category: Mechanical Comprehension A 20-tooth gear drives a 60-tooth gear. If the small gear makes 90 rotations, how many rotations does the large gear make? 30 rotations 45 rotations 60 rotations 90 rotations Explanation: Gear ratio = 20:60 = 1:3. The large gear rotates one-third as fast. 90 / 3 = 30 rotations. 118 / 145 Category: Mechanical Comprehension What happens to the pressure in a fluid when you decrease the area through which it flows while keeping the flow rate constant? Pressure decreases Pressure increases Pressure stays the same Pressure becomes zero Explanation: According to Bernoulli's principle and continuity, when flow area decreases, velocity increases and pressure increases to maintain flow rate. 119 / 145 Category: Mechanical Comprehension Two objects of equal size are dropped from the same height. One weighs 10 pounds and the other weighs 20 pounds. Ignoring air resistance, which hits the ground first? The 10-pound object The 20-pound object They hit at the same time The heavier object hits twice as fast Explanation: In the absence of air resistance, all objects fall at the same rate regardless of mass, as demonstrated by Galileo. 120 / 145 Category: Mechanical Comprehension If 600 foot-pounds of work is performed in 30 seconds, what is the power output? 10 foot-pounds per second 20 foot-pounds per second 30 foot-pounds per second 180 foot-pounds per second Explanation: Power = Work / Time = 600 / 30 = 20 foot-pounds per second. 121 / 145 Category: Mechanical Comprehension An object with a mass of 5 kg is moving at 4 meters per second. What is its kinetic energy? (KE = ½mv²) 10 joules 20 joules 40 joules 80 joules Explanation: KE = ½ × 5 × 4² = ½ × 5 × 16 = ½ × 80 = 40 joules. 122 / 145 Category: Mechanical Comprehension In a pulley system with 4 supporting ropes, how much force is needed to lift a 400-pound load (ignoring friction)? 100 pounds 200 pounds 300 pounds 400 pounds Explanation: In an ideal pulley system, force needed = load / number of supporting ropes = 400/4 = 100 pounds. 123 / 145 Category: Mechanical Comprehension A block weighing 150 pounds is lifted 10 feet. How much work is performed? 15 foot-pounds 150 foot-pounds 1,500 foot-pounds 15,000 foot-pounds Explanation: Work = Force × Distance = 150 pounds × 10 feet = 1,500 foot-pounds. 124 / 145 Category: Mechanical Comprehension If Gear X rotates clockwise, and it meshes with Gear Y, which meshes with Gear Z, in what direction does Gear Z rotate? Clockwise Counterclockwise Same speed as Gear X No rotation Explanation: Each meshed gear rotates opposite to the one driving it. Gear X (clockwise) → Gear Y (counterclockwise) → Gear Z (clockwise). 125 / 145 Category: Mechanical Comprehension A wheel and axle has a wheel radius of 15 inches and an axle radius of 3 inches. What is the mechanical advantage? 3 5 12 18 Explanation: Mechanical advantage = wheel radius / axle radius = 15/3 = 5. 126 / 145 Category: Mechanical Comprehension If a 200-pound crate is pushed up a 20-foot ramp to a platform 5 feet high, what is the mechanical advantage of the inclined plane? 2 4 5 10 Explanation: Mechanical advantage = length of ramp / height = 20/5 = 4. The ramp allows you to use one-fourth the force needed to lift straight up. 127 / 145 Category: Mechanical Comprehension A first-class lever has the fulcrum positioned between the effort and the load. If the effort arm is 6 feet and the load arm is 2 feet, what is the mechanical advantage? 1/3 2 3 4 Explanation: Mechanical advantage = effort arm length / load arm length = 6/2 = 3. You can lift 3 times the weight you apply. 128 / 145 Category: Mechanical Comprehension In a hydraulic system, a force of 10 pounds is applied to a piston with an area of 2 square inches. If the output piston has an area of 8 square inches, what force is produced? 20 pounds 30 pounds 40 pounds 80 pounds Explanation: In hydraulics, pressure is constant. Force multiplier = area ratio = 8/2 = 4. Output force = 10 × 4 = 40 pounds. 129 / 145 Category: Mechanical Comprehension Two gears are meshed together. Gear A has 30 teeth and rotates at 60 RPM. If Gear B has 45 teeth, at what speed does Gear B rotate? 30 RPM 40 RPM 90 RPM 120 RPM Explanation: Gear ratio = 30:45 = 2:3. Since Gear A rotates faster, Gear B rotates slower: 60 × (30/45) = 60 × (2/3) = 40 RPM. 130 / 145 Category: Assembling Objects A star shape with 5 points has connection point N. A circle has connection point O. When N-O are joined, the star appears: Inside the circle Touching the circle at point N/O Separate from the circle Surrounding the circle Explanation: The connection point brings N and O to the same location, so the star and circle touch at that specific point. 131 / 145 Category: Assembling Objects Two identical right triangles are provided. When the hypotenuses are placed together, they form: A square A larger triangle A rectangle A parallelogram Explanation: Two identical right triangles joined along their hypotenuses form a rectangle. 132 / 145 Category: Assembling Objects Three identical squares are arranged in an L-formation. How many total edges are on the perimeter of the combined shape? 8 edges 10 edges 12 edges 14 edges Explanation: Three squares in an L-shape create a perimeter with 10 exterior edges (some internal edges are not part of the perimeter). 133 / 145 Category: Assembling Objects An isosceles triangle with point L and a rectangle with point M are shown. The connection L-M would most likely create: A pentagon A trapezoid-like shape A star A hexagon Explanation: Connecting a triangle to a rectangle typically creates an irregular shape resembling a trapezoid or house-like figure. 134 / 145 Category: Assembling Objects Four quarter-circle pieces are provided. When assembled correctly, they form: A complete circle A square A diamond A flower pattern Explanation: Four quarter-circles (each 90 degrees) combine to form one complete circle (360 degrees). 135 / 145 Category: Assembling Objects A triangle with point J at its apex and a square with point K at its base are shown. When J and K are connected, the resulting shape resembles: A house A diamond A pentagon An arrow Explanation: A triangle on top of a square (connected at apex to base) creates a classic house shape. 136 / 145 Category: Assembling Objects Two semicircles of equal size are given. When properly positioned, they form: An oval A complete circle A figure-eight A crescent Explanation: Two identical semicircles placed together form a complete circle. 137 / 145 Category: Assembling Objects Six identical equilateral triangles are provided. When assembled, they can form: A rectangle A hexagon A pentagon An octagon Explanation: Six equilateral triangles can be arranged to form a regular hexagon, with each triangle forming one-sixth of the shape. 138 / 145 Category: Assembling Objects A small circle with point G and a large square with point H are provided. After connecting G-H, the circle is: Inside the square Outside the square Positioned at a corner or edge of the square Overlapping the square Explanation: The connection point determines position; typically the circle would be positioned at the location of point H on the square's corner or edge. 139 / 145 Category: Assembling Objects Two L-shaped pieces are shown. When rotated and fitted together, they form: A square A rectangle A T-shape A cross Explanation: Two L-shaped pieces can be rotated and interlocked to form a complete square. 140 / 145 Category: Assembling Objects Three identical rectangular pieces are given. What 3D shape can they form when properly assembled? Cube Triangular prism Rectangular prism Cylinder Explanation: Three identical rectangles can be arranged to form the three rectangular faces of a triangular prism (the two triangular ends would be open or separate pieces). 141 / 145 Category: Assembling Objects A hexagon with point E and a pentagon with point F are shown. When connected at E-F, how many total sides do the combined shapes have? 9 sides 10 sides 11 sides 12 sides Explanation: Hexagon has 6 sides, pentagon has 5 sides. Total = 6 + 5 = 11 sides when connected at one point. 142 / 145 Category: Assembling Objects Five identical trapezoidal pieces are arranged in a circle. What shape is formed at the center? Triangle Square Pentagon Circle Explanation: Five identical trapezoids arranged in a circular pattern create a pentagon in the center, as each piece contributes one side. 143 / 145 Category: Assembling Objects A square has point C on its right edge and a rectangle has point D on its left edge. When C and D are connected, the shapes will: Overlap completely Share an edge where C and D meet Be far apart Form a circle Explanation: Connecting C and D brings these points together, so the right edge of the square meets the left edge of the rectangle. 144 / 145 Category: Assembling Objects Four triangular pieces of equal size are provided. Which shape can be formed when all pieces are assembled correctly? Circle Square Pentagon Hexagon Explanation: Four equal triangular pieces (specifically right triangles) can be arranged to form a square. 145 / 145 Category: Assembling Objects Given a circle with point A and a triangle with point B, when correctly connected at points A-B, the triangle would be: Completely inside the circle Touching the circle at one point Overlapping the circle Separate from the circle Explanation: When connection points A and B are joined, they share the same location, so the triangle touches the circle at exactly that connection point. Your score isThe average score is 0% 0% Restart quiz