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A practice test for the armed forces qualification test (afqt), featuring a variety of questions covering mathematics, vocabulary, and reading comprehension. Each question includes a detailed explanation of the correct answer, making it a valuable resource for test preparation. The test includes questions on arithmetic reasoning, word knowledge, paragraph comprehension, and mathematical knowledge. It is designed to help students improve their scores on the afqt.
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Question 1. A car travels 150 miles at a constant speed of 50 miles per hour. How many hours does the trip take? A) 2 B) 3 C) 4 D) 5 Answer: B Explanation: Time = Distance ÷ Rate = 150 ÷ 50 = 3 hours. Question 2. If 7 × x = 84, what is the value of x? A) 10 B) 11 C) 12 D) 13 Answer: C Explanation: Divide both sides by 7: x = 84 ÷ 7 = 12. Question 3. A shirt originally costs $40 and is marked down 25%. What is the sale price? A) $ B) $
Answer: C Explanation: Discount = 0.25 × 40 = $10; Sale price = 40 − 10 = $30. Question 4. Which of the following is the synonym of “abundant”? A) scarce B) plentiful C) rare D) minimal Answer: B Explanation: “Abundant” means plentiful. Question 5. In the sentence “The scientist’s hypothesis was untenable, so she revised it,” the word “untenable” most nearly means: A) provable B) impossible to defend C) uncertain D) obvious Answer: B Explanation: “Untenable” means not able to be defended or maintained.
C) malicious D) charitable Answer: C Explanation: “Malicious” means ill‑will or harmful, opposite of benevolent. Question 9. A cube has a volume of 125 cubic centimeters. What is the length of one edge? A) 3 cm B) 4 cm C) 5 cm D) 6 cm Answer: C Explanation: Volume = side³ → side = ³√125 = 5 cm. Question 10. In the passage, the author states, “The policy’s ramifications were felt across the entire industry.” “Ramifications” most nearly means: A) benefits B) consequences C) regulations D) proposals Answer: B
Explanation: “Ramifications” refers to consequences or results. Question 11. Solve for y: 5y − 3 = 2y + 12. A) 3 B) 5 C) 6 D) 7 Answer: D Explanation: 5y − 3 = 2y + 12 → 3y = 15 → y = 5. Question 12. Which of the following prefixes means “again”? A) pre‑ B) re‑ C) sub‑ D) anti‑ Answer: B Explanation: “Re‑” denotes repetition or again. Question 13. A train travels 180 miles in 3 hours. What is its average speed? A) 45 mph B) 50 mph
Explanation: An etymologist specializes in word origins. Question 16. The area of a triangle is 54 sq cm and its base is 12 cm. What is its height? A) 4 cm B) 6 cm C) 8 cm D) 9 cm Answer: D Explanation: Area = ½ × base × height → 54 = ½ × 12 × h → h = 9 cm. Question 17. In a passage, the phrase “the epitome of elegance” most closely means: A) example B) opposite C) excess D) definition Answer: A Explanation: “Epitome” means a perfect example. Question 18. If 15% of a number is 27, what is the number?
Answer: C Explanation: 0.15 × x = 27 → x = 27 ÷ 0.15 = 180. Question 19. Which of the following is a prime number? A) 21 B) 33 C) 37 D) 49 Answer: C Explanation: 37 has no divisors other than 1 and itself. Question 20. The phrase “to bypass the problem” most nearly means: A) confront B) ignore C) solve D) analyze Answer: B
B) truthful C) biased D) vague Answer: B Explanation: “Candid” means honest or straightforward. Question 24. Which of the following fractions is equivalent to 0.75? A) 1/ B) 2/ C) 3/ D) 4/ Answer: C Explanation: 3 ÷ 4 = 0.75. Question 25. A tank holds 500 L of water. If 125 L are drained, what fraction of the original volume remains? A) 1/ B) 1/ C) 3/ D) 5/ Answer: C
Explanation: Remaining = 500 − 125 = 375 L; fraction = 375/500 = 3/4. Question 26. In the sentence “She has a penchant for classical music,” the word “penchant” means: A) dislike B) indifference C) strong liking D) habit Answer: C Explanation: “Penchant” denotes a strong liking or preference. Question 27. If two workers can together finish a job in 8 hours, and one worker alone can finish it in 12 hours, how long will the second worker take alone? A) 16 h B) 18 h C) 20 h D) 24 h Answer: D Explanation: Let rates be 1/12 and 1/x. Combined rate = 1/8 → 1/12 + 1/x = 1/8 → 1/x = 1/8 − 1/12 = (3‑2)/24 = 1/24 → x = 24 h.
C) assertive D) humorous Answer: C Explanation: Such language conveys confidence and assertiveness. Question 31. If the decimal 0.0064 is expressed as a fraction in simplest form, what is the denominator? A) 125 B) 250 C) 625 D) 1000 Answer: C Explanation: 0.0064 = 64/10,000 = 8/1,250 = 4/625; denominator = 625. Question 32. Which of the following words is a synonym for “mitigate”? A) aggravate B) lessen C) ignore D) expand Answer: B Explanation: “Mitigate” means to make less severe.
Question 33. A store sells notebooks at $2.50 each. If a customer buys 7 notebooks and receives a 10% discount on the total, how much does the customer pay? A) $15. B) $16. C) $16. D) $17. Answer: A Explanation: Total before discount = 7 × 2.50 = $17.50. Discount = 0.10 × 17.50 = $1.75. Payment = 17.50 − 1.75 = $15.75. Question 34. In a paragraph, the sentence “The quintessential example of modern architecture” uses “quintessential” to indicate: A) an average case B) a typical example C) an extreme case D) a rare case Answer: B Explanation: “Quintessential” means the most perfect or typical example. Question 35. What is the value of the expression 4² + 3³ − 5?
Answer: C Explanation: 1 foot = 12 inches → 3 × 12 = 36 in. Question 37. The word “lucid” most nearly means: A) confused B) clear C) bright D) hidden Answer: B Explanation: “Lucid” means expressed clearly; easy to understand. Question 38. If a sequence follows the pattern 5, 9, 13, 17, …, what is the 10th term? A) 41 B) 45 C) 49 D) 53 Answer: C Explanation: This is an arithmetic sequence with common difference 4. nth term = 5 + 4(n‑1). For n=10: 5 + 4 ·9 = 5 + 36 = 41. Wait the answer options mismatch. Actually 41 is correct. Choose correct option. Answer: A (41)
Explanation: Computed as above. Question 39. In a paragraph, the author uses the phrase “in a nutshell” to indicate: A) a detailed explanation B) a brief summary C) a contradictory statement D) an exaggeration Answer: B Explanation: “In a nutshell” signals a concise summary. Question 40. Which of the following numbers is a perfect square? A) 18 B) 24 C) 36 D) 45 Answer: C Explanation: 6² = 36. Question 41. If the price of a product rises from $80 to $92, what is the percent increase?
C) 75.36 cm² D) 100.48 cm² Answer: B Explanation: Area = πr² = 3.14 × 4² = 3.14 × 16 = 50.24 cm². Question 44. In a passage, the sentence “The treaty was ratified after months of debate” uses “ratified” to mean: A) rejected B) postponed C) approved formally D) ignored Answer: C Explanation: “Ratified” means formally approved. Question 45. If 9 % of a number is 27, what is the number? A) 210 B) 225 C) 240 D) 300 Answer: D Explanation: 0.09 × x = 27 → x = 27 ÷ 0.09 = 300.
Question 46. Which word is a synonym for “cumbersome”? A) light B) agile C) unwieldy D) swift Answer: C Explanation: “Cumbersome” means heavy and awkward. Question 47. A rectangular prism has length 5 cm, width 3 cm, height 2 cm. What is its volume? A) 10 cm³ B) 20 cm³ C) 30 cm³ D) 40 cm³ Answer: C Explanation: Volume = l × w × h = 5 × 3 × 2 = 30 cm³. Question 48. The phrase “to spearhead a project” most nearly means: A) to finish it B) to lead it