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If a reader reads 5 pages a day in a book that has 1,025 pages, how many days will it take the reader to finish the book? (Enter a numeric value only.)
- A. 205
- B. 210
- C. 200
- D. 215
Correct Answer: A
Rationale: To determine the number of days needed to finish the book, divide the total number of pages in the book (1,025) by the number of pages read per day (5): 1,025 · 5 = 205. It will take 205 days for the reader to finish the book by reading 5 pages per day. Therefore, the correct answer is A) 205.
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Convert the decimal to a percent: 0.64 =
- A. 0.64%
- B. 64%
- C. 6.40%
- D. 0.06%
Correct Answer: B
Rationale: To convert a decimal to a percent, you multiply by 100. In this case, 0.64 * 100 = 64%. Therefore, the correct answer is 64%. Remember that when converting a decimal to a percent, the decimal point moves two places to the right, and you add the percentage symbol (%) at the end. It's important to understand this concept as it is frequently used in various mathematical calculations and real-world applications.
What is the result of adding 23.5 and 7.025?
- A. 30.525
- B. 30.5
- C. 30.025
- D. 16.475
Correct Answer: A
Rationale: To find the sum of 23.5 and 7.025, you simply add the two numbers together: 23.5 + 7.025 = 30.525. Therefore, the correct answer is A, 30.525, which is the result of adding 23.5 and 7.025.
How many grams are in 2 kilograms?
- A. 20 grams
- B. 200 grams
- C. 2 grams
- D. 2,000 grams
Correct Answer: D
Rationale: Correct Answer: D (2,000 grams)
Rationale:
1. 1 kilogram = 1,000 grams.
2. To convert 2 kilograms to grams, multiply 2 by 1,000.
3. 2 x 1,000 = 2,000 grams.
Summary:
A: Incorrect; 2 kilograms is not equal to 20 grams.
B: Incorrect; 2 kilograms is not equal to 200 grams.
C: Incorrect; 2 kilograms is not equal to 2 grams.
Ratio and proportion: 0.8:10 :: x:100
- A. x = 0.8
- B. x = 80
- C. x = 800
- D. x = 8
Correct Answer: D
Rationale: To solve this proportion problem, start by setting up the given ratio 0.8:10 as a fraction, which is 0.8/10. Then, set this fraction equal to the unknown ratio x:100, represented as x/100. Cross multiplying gives us 0.8 * 100 = 10x. Simplifying the equation, we get 80 = 10x. Solving for x, x = 80/10 = 8. Therefore, the correct answer is D, as x equals 8, not 0.8, 80, or 800.
Seven girls each have seven cats. How many legs are there in the group?
- A. 210
- B. 63
- C. 186
- D. 49
Correct Answer: A
Rationale: To find the total number of legs, we multiply the number of girls by the number of legs each girl and cat has. 7 girls x (2 legs per girl + 4 legs per cat) x 7 cats = 7 x (2+4) x 7 = 7 x 6 x 7 = 210 legs.
Choice A is correct because it correctly calculates the total number of legs.
Choice B is incorrect as it only considers the girls' legs.
Choice C is incorrect as it does not account for the cats' legs.
Choice D is incorrect as it only considers the number of cats.