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How many liters are in 2,000 milliliters?
- A. 4 liters
- B. 1 liter
- C. 2 liters
- D. 4 liters
Correct Answer: C
Rationale: The correct answer is 2 liters. There are 1,000 milliliters in a liter. Therefore, 2,000 milliliters is equal to 2 liters. Choice A is incorrect because it incorrectly doubles the conversion. Choice B is incorrect as it represents the amount in milliliters, not liters. Choice D is a duplicate of choice A, which is incorrect.
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What is 80% of 55?
- A. 40
- B. 44
- C. 39
- D. 45
Correct Answer: B
Rationale: To find 80% of a number, you multiply the number by 0.8. Therefore, 80% of 55 is calculated as 0.8 55 = 44. Choice A (40), choice C (39), and choice D (45) are incorrect as they do not represent the correct calculation for 80% of 55.
Solve for x: 120:x::40:0.5.
- A. 1.5
- B. 60
- C. 0.167
- D. 16
Correct Answer: A
Rationale: To solve the proportion 120:x::40:0.5, cross-multiply to get 120 * 0.5 = 40 * x. This simplifies to 60 = 40x. Dividing both sides by 40 gives x = 1.5. Therefore, the correct answer is A. Choice B (60) is incorrect because x is not equal to 60. Choice C (0.167) is incorrect as it does not result from solving the proportion. Choice D (16) is also incorrect because x is not equal to 16.
A man is reading a book with 798 pages. If he reads 2 chapters a day and each chapter has 6 pages, how many days will it take him to finish the book?
- A. 133 days
- B. 399 days
- C. 66.5 days
- D. 75 days
Correct Answer: C
Rationale: To find the total number of chapters, divide the total number of pages by the number of pages per chapter: 798 · 6 = 133 chapters. Reading 2 chapters per day means it will take 133 · 2 = 66.5 days. Choice A, 133 days, is incorrect because it miscalculates the days needed to finish the book. Choice B, 399 days, is incorrect as it doesn't consider the number of chapters read per day. Choice D, 75 days, is incorrect as it doesn't account for the total number of chapters in the book.
Subtract 17 2\3 - 8 5\9.
- A. 8 4\9
- B. 9 1\9
- C. 8 3\9
- D. 8 4\9
Correct Answer: B
Rationale: Find a common denominator to subtract: 17 2\3 - 8 5\9 = 9 1\9.
What is the volume of a birthday party hat with a cone-shaped top having a radius of 5cm and a height of 12cm?
- A. 60 cu cm
- B. 120 cu cm
- C. 150 cu cm
- D. 180 cu cm
Correct Answer: C
Rationale: To find the volume of a cone, we use the formula: (1/3) * π * (radius)^2 * height. Substituting the given values: (1/3) * π * (5cm)^2 * 12cm = 150 cu cm. Therefore, the correct answer is C. Choice A, B, and D are incorrect as they do not correspond to the correct calculation using the formula for the volume of a cone.