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2.5:150 :: 20:x = ?
- A. X = 3000
- B. X = 1000
- C. X = 1500
- D. X = 1200
Correct Answer: D
Rationale: The analogy in the question presents the relationship between 2.5 and 150 as 2.5 multiplied by 60 equals 150. To find the value of x, we should determine what number, when multiplied by 20, equals x. Following the same pattern as the initial analogy, 20 multiplied by 60 equals 1200. Hence, x = 1200, making choice D the correct answer.
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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.
Convert 8:44 P.M. to military time. (Enter the numerical value only.)
- A. 2044
- B. 2204
- C. 1844
- D. 2040
Correct Answer: D
Rationale: Correct Answer: D (2040)
Rationale:
1. Military time follows a 24-hour clock.
2. To convert 8:44 P.M. to military time, add 12 hours to the given time.
3. 8 + 12 = 20, so the hour becomes 20.
4. The minute remains the same, so it is 44.
5. Therefore, 8:44 P.M. in military time is 2044.
Summary:
A: 2044 - Incorrect, same as the correct answer but not in the 24-hour clock format.
B: 2204 - Incorrect, it would be the military time for 10:04 P.M.
C: 1844 - Incorrect, it is the original time in the 12-hour clock format, not converted to military time.
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.
How many ounces are in 2 quarts?
- A. 8 ounces
- B. 16 ounces
- C. 32 ounces
- D. 64 ounces
Correct Answer: D
Rationale: To convert quarts to ounces, remember that 1 quart is equal to 32 ounces. When dealing with 2 quarts, you need to multiply 2 by 32 to find the total number of ounces, which equals 64 ounces. Therefore, the correct answer is 64 ounces. Understanding the conversion factor of 32 ounces in 1 quart enables you to accurately calculate the total ounces for any given quantity of quarts.
Which fraction represents the largest value?
- A. 3/7
- B. 3/6
- C. 3/9
- D. 3/8
Correct Answer: B
Rationale: To determine the largest fraction when the numerators are the same, compare the denominators. A smaller denominator indicates a larger fraction as it represents more significant parts of a whole. In this case, the fractions all have a common numerator of 3. Comparing the denominators, 6 is the smallest, making 3/6 the largest fraction. Therefore, 3/6 represents the largest value among the options. Remember, when fractions have the same numerator, the fraction with the smaller denominator is larger as it represents a larger portion of the whole.