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A healthcare professional works in a military hospital from 1300 to 2000 hours. How many hours does this healthcare professional work?
- A. 8 hours
- B. 11 hours
- C. 7 hours
- D. 12 hours
Correct Answer: C
Rationale: To calculate the number of hours worked, subtract the starting time from the ending time. In military time, 2000 is equivalent to 8:00 PM, and 1300 is equivalent to 1:00 PM. Subtracting 1:00 PM from 8:00 PM gives us 7 hours of work. Therefore, the correct answer is 7 hours, as the healthcare professional worked from 1:00 PM to 8:00 PM.
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Solve for the value of x if x=11. x + 44 / 2x =
- A. 33
- B. 2.5
- C. 13
- D. 55/22
Correct Answer: C
Rationale: To solve the equation, substitute x=11 into the expression: 11 + 44 / (2*11) = 11 + 44 / 22 = 11 + 2 = 13. Therefore, the correct answer is C, which is 13.
How many kilograms are in 0.12 grams?
- A. 120.0 kilograms
- B. 0.0012 kilograms
- C. 0.00012 kilograms
- D. 12.0 kilograms
Correct Answer: C
Rationale: To convert grams to kilograms, we need to divide by 1000 because there are 1000 grams in a kilogram. So, to convert 0.12 grams to kilograms, we divide 0.12 by 1000, which equals 0.00012 kilograms. Therefore, choice C (0.00012 kilograms) is the correct answer.
Choice A (120.0 kilograms) is incorrect as it incorrectly multiplies instead of dividing by 1000. Choice B (0.0012 kilograms) is incorrect as it divides 0.12 by 100 instead of 1000. Choice D (12.0 kilograms) is incorrect as it wrongly drops the zero in the decimal point conversion.
Express 0.025 as a ratio.
- A. 1:40
- B. 4:1
- C. 400:1
- D. 26:40:00
Correct Answer: A
Rationale: To convert 0.025 to a ratio, you first convert the decimal to a fraction by writing it as 25/1000, which simplifies to 1/40. Therefore, the correct ratio for 0.025 is 1:40. When expressing decimals as ratios, it's important to remember to simplify the fraction to its simplest form. In this case, 1:40 is the simplest form of the ratio for 0.025, making it the correct answer choice.
What is the result of adding 2/3 + 1/6 + 2/5?
- A. 1/3
- B. 2/5
- C. 1 & 7/30
- D. 1 & 1/15
Correct Answer: C
Rationale: To add fractions with different denominators, you first need to find a common denominator. In this case, the least common multiple of 3, 6, and 5 is 30. Next, convert each fraction to have a denominator of 30: 2/3 = 20/30, 1/6 = 5/30, and 2/5 = 12/30. Now, add the fractions: 20/30 + 5/30 + 12/30 = 37/30. This is equivalent to 1 & 7/30 when expressed as a mixed number. Therefore, the correct answer is 1 & 7/30.
Evaluate ab^2 - ac if a=c, b=-4, and c=-5
- A. 56
- B. 63
- C. -23
- D. -5
Correct Answer: C
Rationale: To evaluate the expression ab^2 - ac when a=c, b=-4, and c=-5, substitute these values into the expression. We get (-4)(-5)^2 - (-5) = (-4)(25) + 5 = -100 + 5 = -95. Therefore, the correct answer is -95, not 63 as previously stated. Hence, the correct answer is option C, which is -95.