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Convert 0.007 kilograms to grams.
- A. 7 grams
- B. 70 grams
- C. 0.07 grams
- D. 0.70 grams
Correct Answer: A
Rationale: To convert kilograms to grams, you need to multiply by 1000 since there are 1000 grams in a kilogram. Therefore, 0.007 kilograms is equal to 0.007 x 1000 = 7 grams. Choice A is correct. Choice B is incorrect as it incorrectly multiplies by 10 instead of 1000. Choice C is incorrect as it incorrectly moves the decimal point one place to the right. Choice D is incorrect as it incorrectly moves the decimal point two places to the right.
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A worker's schedule is written in military time, and shows their shift is from 1500 to 0100. When will they get off work?
- A. A little bit after midnight
- B. 1:00 AM
- C. 3:00 AM
- D. 12:30 AM
Correct Answer: B
Rationale: When converting military time, 0100 actually corresponds to 1:00 AM the next day. Choice A is incorrect as 'a little bit after midnight' is vague and not a specific time. Choice C is incorrect as it is after the worker's shift ends. Choice D is incorrect as it is before the worker's shift ends.
How many feet are in 2 miles?
- A. 5280 feet
- B. 15840 feet
- C. 10560 feet
- D. 10200 feet
Correct Answer: C
Rationale: To convert miles to feet, multiply the number of miles by the conversion factor of feet per mile. Since there are 5280 feet in 1 mile, to find the number of feet in 2 miles, you multiply 2 by 5280, resulting in 10560 feet. Choice A, 5280 feet, is the conversion factor for 1 mile, not for 2 miles. Choices B and D are incorrect calculations that do not follow the conversion factor correctly.
A healthcare professional works in a military hospital from 1300 to 2000. What time of day does this healthcare professional work?
- A. Early morning to early afternoon
- B. Lunchtime to midnight
- C. Early afternoon to bedtime
- D. Midnight to sunrise
Correct Answer: C
Rationale: The correct answer is C: Early afternoon to bedtime. The healthcare professional's work hours from 1300 to 2000 correspond to 1 PM to 8 PM, indicating work during the afternoon and early evening. Choice A (Early morning to early afternoon) is incorrect because the professional works in the afternoon and early evening, not the morning. Choice B (Lunchtime to midnight) is incorrect as the professional finishes work before midnight, not until midnight. Choice D (Midnight to sunrise) is incorrect as the professional's work hours are during the daytime and evening, not overnight.
If his distribution cost is $10, what will be his profit?
- A. $10.40
- B. $19.60
- C. $14.90
- D. $23.40
Correct Answer: B
Rationale: To calculate profit, we subtract the total distribution cost from the revenue. Given that the revenue is $30, the calculation is as follows: Profit = Revenue - Distribution Cost. Therefore, Profit = $30 - $10 = $20. Hence, the profit will be $19.60. Choice A is incorrect as it incorrectly adds the distribution cost to the revenue. Choice C is incorrect as it does not consider the distribution cost. Choice D is incorrect as it overestimates the profit by adding the distribution cost again to the correct profit amount.
The order of operations (PEMDAS) dictates the sequence for evaluating mathematical expressions. If a = 2 and b = -3, what is the value of 3a^2 - 2ab + b^2?
- A. -3
- C. 33
- D. 15
Correct Answer: C
Rationale: Given expression: 3a^2 - 2ab + b^2. Substitute the values of a and b: 3(2)^2 - 2(2)(-3) + (-3)^2 = 3(4) + 12 + 9 = 12 + 12 + 9 = 24 + 9 = 33. Therefore, the value of the expression is 33, which corresponds to option C. Options A, B, and D are incorrect as they do not accurately evaluate the expression with the given values of a and b.