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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.
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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.
What is the result of dividing 1/9 by 2/3?
- A. 1/6
- B. 3/18
- C. 1/3
- D. 2/3
Correct Answer: A
Rationale: When dividing fractions, you multiply the first fraction by the reciprocal of the second fraction. In this case, 1/9 · 2/3 can be rewritten as 1/9 x 3/2 = 3/18 = 1/6. Therefore, the correct answer is A, 1/6. Remember, 'invert and multiply' is the rule to follow when dividing fractions.
How many cakes are needed to provide 24 servings for a class of 70 and a staff of 3?
- A. 4
- B. 2
- C. 3
- D. 5
Correct Answer: A
Rationale: To determine the number of cakes needed, calculate the total number of servings required. The class of 70 and staff of 3 total 73 people. Since each cake offers 24 servings, divide the total servings required by the servings per cake: 73 / 24 ≈ 3.04. Rounding up to the nearest whole number ensures enough servings, indicating that 4 cakes are needed to meet the demand for the class and staff.
What temperature in Celsius is 98.6 degrees Fahrenheit?
- A. 30 Celsius
- B. 37 Celsius
- C. 47 Celsius
- D. 21 Celsius
Correct Answer: B
Rationale: To convert Fahrenheit to Celsius, you can use the formula: C = (F - 32) x 5/9. Substituting 98.6 for F: (98.6 - 32) x 5/9 = 37°C. Therefore, 98.6 degrees Fahrenheit is equivalent to 37 degrees Celsius.
Ratio and proportion: 0.1:10::x:400
- A. 5
- B. 4
- C. 25
- D. 50
Correct Answer: B
Rationale: In a ratio, the two parts are related by a proportion. To find the missing value, x, in the given ratio, you need to set up a proportion. Given: 0.1:10::x:400. Cross multiply to solve for x: 0.1 * 400 = 10 * x, which simplifies to x = (0.1 * 400) / 10 = 4. Therefore, the correct answer is 4.