Nokea
How many ounces are in 8 1/4 pints?
- A. 132 oz
- B. 140 oz
- C. 148 oz
- D. 156 oz
Correct Answer: A
Rationale: To convert pints to ounces, we use the conversion factor that 1 pint equals 16 ounces. To find the number of ounces in 8 1/4 pints, we multiply 8.25 pints by 16 ounces/pint: 8.25 * 16 = 132 ounces. Therefore, there are 132 ounces in 8 1/4 pints.
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Ratio and Proportion: 125:5::75:X
- A. X=3
- B. X=75
- C. X=125
- D. X=5
Correct Answer: A
Rationale: To find the value of X in the given ratio 125:5::75:X, we need to maintain the same ratio relationship between the numbers. The ratio 125:5 simplifies to 25:1. Similarly, we can simplify 75:X as 15:X. Therefore, X must be such that 15 is to X as 25 is to 1, which means X=3 (15 divided by 5 equals 3). Choice A is correct as X=3 maintains the correct ratio relationship. Choices B, C, and D are incorrect as they do not follow the established ratio pattern.
Convert 2100 to standard time =
- A. 9:00 PM
- B. 2:00 AM
- C. 2:00 PM
- D. 12:00 PM
Correct Answer: A
Rationale: To convert military time to standard time, subtract 12 hours if the time is after 12:00 PM. In this case, 2100 - 1200 = 900, which is equivalent to 9:00 PM in standard time notation. Remember that military time uses a 24-hour clock, where 2100 hours is equivalent to 9:00 PM in standard time format. Therefore, the correct answer is 9:00 PM.
How many pints are in 80 ounces?
- A. 1,280 pints
- B. 16 pints
- C. 15 pints
- D. 5 pints
Correct Answer: D
Rationale: To determine how many pints are in 80 ounces, we use the conversion that 1 pint is equal to 16 ounces. Therefore, 80 ounces divided by 16 ounces per pint equals 5 pints (80/16 = 5). Choice D, 5 pints, is the correct answer. Choice A is incorrect as it miscalculates by multiplying 80 by 16 instead of dividing. Choices B and C are incorrect as they do not use the correct conversion factor of 16 ounces per pint. Thus, the correct answer is D, 5 pints, as it accurately applies the conversion factor to solve the problem.
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.
A farmer has 240 acres under cultivation at $188.99 per acre. If he averages 60 bushels/acre, what is the expected profit if the price per bushel is $5.67?
- A. $30,000
- B. $36,290.40
- C. $40,000
- D. $45,000
Correct Answer: B
Rationale: To calculate the expected profit, first find the total cost: 240 acres * $188.99 = $45,357.60. Then, determine the total revenue: 240 acres * 60 bushels/acre * $5.67/bushel = $81,648. Subtract the total cost from the total revenue to find the profit: $81,648 - $45,357.60 = $36,290.40. Therefore, the expected profit is $36,290.40.