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Which of the following numbers is the largest?
- A. 0.6
- B. 0.0688
- C. 0.667
- D. 0.68
Correct Answer: D
Rationale: To determine the largest number, compare the decimal parts individually. Among the given options, 0.6 is smaller than 0.68, 0.0688 is smaller than both 0.6 and 0.68, and 0.667 is smaller than 0.68. Therefore, 0.68 is the largest number among the options provided.
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Ratio and Proportion: 125:5::75:X
- A. X=3
- B. X=75
- C. X=125
- D. X=5
Correct Answer: A
Rationale: To find the value of X in the given ratio 125:5::75:X, we need to maintain the same ratio relationship between the numbers. The ratio 125:5 simplifies to 25:1. Similarly, we can simplify 75:X as 15:X. Therefore, X must be such that 15 is to X as 25 is to 1, which means X=3 (15 divided by 5 equals 3). Choice A is correct as X=3 maintains the correct ratio relationship. Choices B, C, and D are incorrect as they do not follow the established ratio pattern.
Round your answer to the hundredths place: 28 divided by 0.6 =
- A. 46.67
- B. 0.021
- C. 17.5
- D. 16.8
Correct Answer: A
Rationale: To divide 28 by 0.6, you get 46.666... Rounding the answer to the hundredths place means keeping two decimal places. Since the digit after the hundredths place is 6, we round up the last decimal place to get 46.67 as the correct rounded answer.
Convert the following military time to standard time: 1700 hours
- A. 6:00 PM
- B. 7:00 PM
- C. 4:00 PM
- D. 5:00 PM
Correct Answer: D
Rationale: Military time is based on a 24-hour clock system, where 0000 (12:00 AM) to 2359 (11:59 PM) represents the full day. To convert military time to standard time, subtract 1200 from the given military time if it is greater than 1200. In this case, 1700 hours - 1200 = 5:00 PM. Therefore, the correct answer is D) 5:00 PM.
What is the result of subtracting 12.02 from 9.99?
- A. 7.97
- B. 2.03
- C. -2.03
- D. 3.17
Correct Answer: C
Rationale: To find the result of subtracting 12.02 from 9.99, you need to perform the operation 9.99 - 12.02, which equals -2.03. The correct answer is C, -2.03, because when subtracting a larger number from a smaller one, the result will be negative. Therefore, the correct calculation is 9.99 - 12.02 = -2.03. It's important to remember that when subtracting numbers, the order matters, and subtracting the larger number from the smaller one will result in a negative difference.
Subtract 7 7/10 - 3 4/5 =
- A. 4 & 1/10
- B. 11 & 1/2
- C. 4 & 3/5
- D. 3 & 9/10
Correct Answer: D
Rationale: To subtract mixed numbers, convert them to improper fractions. 7 7/10 = 77/10 and 3 4/5 = 19/5. When subtracting 77/10 - 19/5, we get 31/10, which simplifies to 3 & 1/10. Therefore, the correct answer is 3 & 9/10. The mistake in the original question was in option A, which incorrectly stated 4 & 1/10 instead of the correct answer 3 & 9/10.