Quantitative Reasoning Final Exam, Exams of Nursing

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Quantitative Reasoning Final Exam

1. What is 25% of 240? A. 50 B. 60 C. 70 D. 80 Answer: B Rationale: 25% = 0.25. Therefore, 0.25 × 240 = 60. 2. Solve: 3x + 5 = 20 A. 3 B. 4 C. 5 D. 6 Answer: C Rationale: 3x = 15, so x = 5. 3. What is the ratio of 15 to 25 in simplest form? A. 3: B. 5: C. 15: D. 25: Answer: A Rationale: Divide both numbers by 5 to get 3:5. 4. Find the mean of 4, 6, 8, and 12. A. 7 B. 7. C. 8 D. 9 Answer: B Rationale: (4 + 6 + 8 + 12) ÷ 4 = 30 ÷ 4 = 7.5. 5. Simplify: 7² A. 14 B. 28

C. 49

D. 56

Answer: C Rationale: 7 × 7 = 49.

6. Which fraction is equivalent to 0.75? A. 1/ B. 3/ C. 2/ D. 4/ Answer: B Rationale: 3 ÷ 4 = 0.75. 7. What is 18% of 150? A. 24 B. 27 C. 30 D. 36 Answer: B Rationale: 0.18 × 150 = 27. 8. Solve: 9 − (3 + 2) A. 4 B. 5 C. 6 D. 7 Answer: A Rationale: 3 + 2 = 5, then 9 − 5 = 4. 9. If a shirt costs $40 and is discounted by 20%, what is the sale price? A. $ B. $ C. $ D. $ Answer: C Rationale: Discount = 0.20 × 40 = 8; 40 − 8 = 32.

Answer: C Rationale: Speed = Distance ÷ Time = 180 ÷ 3.

15. What is 30% expressed as a decimal? A. 0. B. 0. C. 3. D. 30. Answer: B Rationale: Divide 30 by 100. 16. Solve: 15 + 6 ÷ 2 A. 10. B. 12 C. 18 D. 21 Answer: C Rationale: Division first: 6 ÷ 2 = 3; then 15 + 3 = 18. 17. What is the perimeter of a rectangle with length 8 and width 5? A. 26 B. 30 C. 40 D. 13 Answer: A Rationale: P = 2(l + w) = 2(8 + 5) = 26. 18. Which number is prime? A. 21 B. 27 C. 29 D. 35 Answer: C Rationale: 29 has only two factors: 1 and 29. 19. Convert 3/5 to a percentage.

A. 50%

B. 55%

C. 60%

D. 65%

Answer: C Rationale: 3 ÷ 5 = 0.60 = 60%.

20. What is 12 × 11? A. 121 B. 132 C. 144 D. 156 Answer: B Rationale: Multiplication gives 132. 21. Solve: x − 9 = 13 A. 20 B. 22 C. 24 D. 26 Answer: B Rationale: Add 9 to both sides. 22. What is the area of a rectangle measuring 9 by 4? A. 13 B. 26 C. 36 D. 40 Answer: C Rationale: Area = length × width. 23. 2.5 + 1.75 = A. 3. B. 4. C. 4. D. 4. Answer: C Rationale: Add the decimals carefully.

Answer: B Rationale: Division first gives 7; then add 3.

29. A class has 12 boys and 18 girls. What fraction are boys? A. 2/ B. 3/ C. 1/ D. 1/ Answer: A Rationale: 12 out of 30 students = 12/30 = 2/5. 30. What is 45 ÷ 5? A. 7 B. 8 C. 9 D. 10 Answer: C Rationale: 45 divided by 5 equals 9. 31. 0.4 × 50 = A. 2 B. 20 C. 25 D. 40 Answer: B Rationale: Multiply 50 by four-tenths. 32. Which is the largest? A. 0. B. 0. C. 0. D. 0. Answer: C Rationale: Compare decimal place values. 33. What is the value of 100 − 37?

A. 53

B. 63

C. 73

D. 83

Answer: B Rationale: Subtraction yields 63.

34. Solve: 2x + 8 = 18 A. 3 B. 4 C. 5 D. 6 Answer: C Rationale: 2x = 10; x = 5. 35. Convert 1.2 to a fraction. A. 12/ B. 12/ C. 6/ D. Both B and C Answer: D Rationale: 1.2 = 12/10, which simplifies to 6/5. 36. What is 9 × 9? A. 72 B. 81 C. 90 D. 99 Answer: B Rationale: 9 squared equals 81. 37. Find 20% of 80. A. 12 B. 14 C. 16 D. 18 Answer: C Rationale: 0.20 × 80 = 16.

Answer: B Rationale: Among unit fractions, the smaller denominator gives the larger value.

43. Solve: x/4 = 7 A. 21 B. 24 C. 28 D. 32 Answer: C Rationale: Multiply both sides by 4. 44. What is the area of a square with side 7? A. 14 B. 28 C. 42 D. 49 Answer: D Rationale: Area = side². 45. What is 15% of 300? A. 35 B. 40 C. 45 D. 50 Answer: C Rationale: 0.15 × 300 = 45. 46. 8² = A. 16 B. 32 C. 64 D. 128 Answer: C Rationale: 8 × 8 = 64. 47. Which is an even number?

A. 17

B. 19

C. 21

D. 24

Answer: D Rationale: Even numbers are divisible by 2.

48. Find the average of 10 and 20. A. 12 B. 15 C. 18 D. 20 Answer: B Rationale: (10 + 20) ÷ 2 = 15. 49. Convert 0.2 to a percentage. A. 2% B. 20% C. 200% D. 0.2% Answer: B Rationale: Multiply by 100. 50. What is 100 ÷ 25? A. 2 B. 3 C. 4 D. 5 Answer: C Rationale: 25 goes into 100 four times. 51. Solve: 7 + 8 × 2 A. 22 B. 30 C. 23 D. 15 Answer: C Rationale: Multiply first (16), then add 7.

Answer: B Rationale: Hundredths are smaller than tenths.

57. What is 4/10 as a decimal? A. 0. B. 0. C. 4. D. 40 Answer: B Rationale: Divide 4 by 10. 58. 13 × 3 = A. 36 B. 39 C. 42 D. 45 Answer: B Rationale: Product equals 39. 59. What is 50% of 90? A. 40 B. 45 C. 50 D. 55 Answer: B Rationale: Half of 90 is 45. 60. Solve: 81 ÷ 9 A. 7 B. 8 C. 9 D. 10 Answer: C Rationale: 9 × 9 = 81. 61. What is the perimeter of a square with side 6?

A. 12

B. 18

C. 24

D. 36

Answer: C Rationale: 4 × 6 = 24.

62. Which number is divisible by 3? A. 22 B. 25 C. 27 D. 29 Answer: C Rationale: 2 + 7 = 9, which is divisible by 3. 63. Solve: x + 15 = 40 A. 20 B. 25 C. 30 D. 35 Answer: B Rationale: Subtract 15 from both sides. 64. What is 2/3 of 90? A. 50 B. 55 C. 60 D. 65 Answer: C Rationale: 90 × 2/3 = 60. 65. Convert 75% to a fraction. A. 1/ B. 2/ C. 3/ D. 4/ Answer: C Rationale: 75/100 simplifies to 3/4.

Answer: C Rationale: 6 × 6 × 6 = 216.

71. Solve: 100 − 25% A. 25 B. 50 C. 75 D. 80 Answer: C Rationale: 25% of 100 is 25; 100 − 25 = 75. 72. What is 5/10 simplified? A. 1/ B. 1/ C. 2/ D. 5/ Answer: B Rationale: Divide numerator and denominator by 5. 73. A train travels 300 km in 5 hours. Speed? A. 50 km/h B. 55 km/h C. 60 km/h D. 65 km/h Answer: C Rationale: 300 ÷ 5 = 60. 74. What is 11²? A. 111 B. 121 C. 131 D. 141 Answer: B Rationale: 11 × 11 = 121. 75. Solve: 48 ÷ 6

A. 6

B. 7

C. 8

D. 9

Answer: C Rationale: 48 divided by 6 equals 8.

76. Which is greater? A. 2/ B. 3/ C. 1/ D. 4/ Answer: B Rationale: 3/5 = 0.6, the largest value listed. 77. What is 125% of 80? A. 90 B. 95 C. 100 D. 105 Answer: C Rationale: 1.25 × 80 = 100. 78. What is 9 + 14? A. 21 B. 22 C. 23 D. 24 Answer: C Rationale: Sum equals 23. 79. Solve: 3(x − 2) = 12 A. 4 B. 5 C. 6 D. 7 Answer: C Rationale: Divide by 3 to get x − 2 = 4, then add 2.