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What is the result of adding 1/4 + 3/8?
- A. 4/12
- B. 1/3
- C. 5/8
- D. 1/2
Correct Answer: C
Rationale: To add fractions, a common denominator is needed. In this case, the common denominator is 8. Converting 1/4 to have the same denominator results in 2/8. Adding 2/8 + 3/8 gives 5/8. Thus, the correct answer is 5/8.
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Ratio and Proportion: 9 : X :: 5 : 300 (Enter numeric value only.)
- A. 450
- B. 540
- C. 600
- D. 480
Correct Answer: B
Rationale: To find the value of X in the proportion 9 : X :: 5 : 300, we can set up the equation (9/X) = (5/300) and cross-multiply. This gives us 9 * 300 = 5 * X. Simplifying further, we get X = (9 * 300) / 5 = 540. Therefore, the correct answer is 540, which is option B.
A man is 6'4' tall and weighs 228 pounds. The ideal weight chart indicates that his maximum desirable weight is 204 pounds. What percentage overweight is this man?
- A. 16.50%
- B. 20%
- C. 10%
- D. 2%
Correct Answer: C
Rationale: To calculate the percentage overweight:
1. Find the excess weight: 228 lbs - 204 lbs = 24 lbs.
2. Calculate the percentage: (24 lbs / 204 lbs) * 100 = 11.76%
3. Choose the closest option, which is C: 10%.
The correct answer is C (10%) because it represents the closest rounded percentage to the calculated 11.76%. Other choices are incorrect as they do not reflect the accurate percentage of excess weight.
A school district has a student population of 6,734 students. If the maximum class size is 25 students, how many teachers must the district hire to supplement their current staff of 217 teachers?
- A. 50
- B. 51
- C. 53
- D. 54
Correct Answer: C
Rationale: To calculate the number of additional teachers needed, first determine the total number of classes by dividing the total student population by the maximum class size: 6734 students · 25 students = 269.36, rounded up to 270 classes. Then subtract the current number of teachers from the total classes to find the additional teachers required: 270 classes - 217 current teachers = 53 additional teachers needed.
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.
How many ounces are in 3 5/8 quarts?
- A. 32
- B. 116
- C. 96
- D. 928/8
Correct Answer: B
Rationale: To convert quarts to ounces, we use the conversion factor that 1 quart is equal to 32 ounces. To find how many ounces are in 3 5/8 quarts, first, we calculate the ounces in 3 quarts by multiplying 3 quarts by 32 ounces/quart, which equals 96 ounces. Then, we find the equivalent of 5/8 quart, which is 5/8 * 32 = 20 ounces. Adding the ounces from 3 quarts and 5/8 quart together, we get a total of 116 ounces. Therefore, the correct answer is 116 ounces.