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What is the result of adding 5 1/3 + 3 1/2?
- A. 8 1/6
- B. 8 2/3
- C. 8 5/6
- D. 9 1/6
Correct Answer: C
Rationale: To add mixed numbers, convert them to improper fractions. 5 1/3 = 16/3 and 3 1/2 = 7/2. Find a common denominator, in this case, 6: 16/3 = 32/6 and 7/2 = 21/6. Add the fractions: 32/6 + 21/6 = 53/6, which simplifies to 8 5/6. Therefore, the sum of 5 1/3 + 3 1/2 is 8 5/6.
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Solve for X: X/4 = 9/X
- A. 6
- B. 8
- C. 12
- D. 18
Correct Answer: A
Rationale: To solve the equation X/4 = 9/X, cross multiply to obtain X * X = 9 * 4, which simplifies to X² = 36. Taking the square root of both sides results in X = ±6. However, in this context, X represents a positive value since negative values are not applicable in the division given. Therefore, the positive root, X = 6, is the correct solution.
How many milliliters are contained in 3 liters of fluid? (Enter numeric value only.)
- A. 300
- B. 3000
- C. 30,000
- D. 300,000
Correct Answer: B
Rationale: Correct Answer: B (3000)
Rationale:
1 liter = 1000 milliliters.
Therefore, 3 liters = 3 x 1000 = 3000 milliliters.
Choice B (3000) is correct because it correctly converts liters to milliliters.
Choice A (300) is incorrect as it is the equivalent of 0.3 liters.
Choice C (30,000) and D (300,000) are incorrect as they are the result of multiplying by 10 or 100 extra.
What time is 5:00 am in military time (24-hour clock)? (Enter numeric value only.)
- A. 5000
- B. 500
- C. 1500
- D. 1700
Correct Answer: B
Rationale: The correct answer is B: 500. In military time, 5:00 am is represented as 0500. This is because the 24-hour clock system uses four digits, with the first two indicating the hour and the last two indicating the minutes. Choice A (5000) is incorrect as it has an extra digit. Choice C (1500) represents 3:00 pm, while choice D (1700) represents 5:00 pm. Therefore, the correct representation of 5:00 am in military time is 0500.
What is the sum of 6 + 12.55 + 5.022?
- A. 18.55
- B. 23.572
- C. 30.572
- D. 16.575
Correct Answer: B
Rationale: To find the sum of 6, 12.55, and 5.022, add them together. 6 + 12.55 equals 18.55. Adding 5.022 to 18.55 gives a total of 23.572. Therefore, the correct answer is 23.572. The sum of these numbers is calculated by adding the individual values together while maintaining the decimal points in their respective places to get the correct total. It's essential to be precise with decimal numbers to ensure the accuracy of the final sum.
A newborn's birth weight is recorded as 6,067 grams, and there are 453.59 grams in a pound. What is this infant's weight in pounds and ounces?
- A. 6 pounds, 13 ounces
- B. 13 pounds, 6 ounces
- C. 10 pounds, 13 ounces
- D. 6 pounds, 6 ounces
Correct Answer: B
Rationale: To convert 6,067 grams to pounds, divide by 453.59, giving 13.36 pounds. To find ounces, subtract the whole pounds (13) and multiply the decimal portion (0.36) by 16 (ounces in a pound), resulting in 5.76 ounces. Therefore, the infant's weight is 13 pounds and 5.76 ounces, which rounds to 13 pounds, 6 ounces (option B). Option A is incorrect as it doesn't account for the decimal portion of the pound. Option C is incorrect as it overestimates the weight. Option D is incorrect as it underestimates the weight by not considering the decimal portion.