Nokea
Solve for x: 2x - 7 = 9.
- A. x = 10
- B. x = 7
- C. x = 8
- D. x = 5
Correct Answer: C
Rationale: To solve the equation 2x - 7 = 9, first, add 7 to both sides to isolate the variable: 2x = 16. Then, divide by 2 to solve for x: x = 8. Choice A (x = 10) is incorrect because the solution is x = 8, not 10. Choice B (x = 7) is incorrect as it does not correctly solve the equation. Choice D (x = 5) is incorrect as it does not yield the correct solution for x.
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A farmer has 240 acres under cultivation at the cost of $188.99 per acre. If he averages a yield of 60 bushels per acre, what profit is expected if the price per bushel is $5.67?
- A. $36,290.40
- B. $45,357.60
- C. $81,648
- D. $44,000
Correct Answer: A
Rationale: To calculate the profit, first find the total revenue: 240 acres 60 bushels/acre $5.67/bushel = $81,648. Then, calculate the total cost: 240 acres $188.99/acre = $45,357.60. Finally, subtract the cost from the revenue to find the profit: $81,648 - $45,357.60 = $36,290.40. Therefore, the expected profit is $36,290.40. Choice B, $45,357.60, is the total cost, not the profit. Choice C, $81,648, is the total revenue, not the profit. Choice D, $44,000, is an arbitrary figure and not related to the calculations provided. Thus, the correct answer is $36,290.40.
How many pounds are in 160 ounces?
- A. 10 pounds
- B. 8 pounds
- C. 5 pounds
- D. 12 pounds
Correct Answer: A
Rationale: The correct answer is A: 10 pounds. There are 16 ounces in a pound. To convert 160 ounces to pounds, you need to divide 160 by 16, which equals 10 pounds. Choice B, 8 pounds, is incorrect because it does not account for the correct conversion factor. Choice C, 5 pounds, is incorrect as it is not the result of dividing 160 by 16. Choice D, 12 pounds, is incorrect as it overestimates the conversion.
You need to buy cardboard to cover a rectangular box with dimensions 40cm by 30cm by 25cm. Considering only the exterior surfaces (not flaps or openings), how much cardboard do you need (assume one sheet covers 0.5 sq m)?
- A. 0.3 sq m
- B. 0.6 sq m
- C. 1.2 sq m
- D. 1.8 sq m
Correct Answer: C
Rationale: To find the total surface area of the rectangular box, calculate the area of each side and sum them up. The areas of the sides are: 2(40x30) + 2(40x25) + 2(30x25) = 2400 + 2000 + 1500 = 5900 sq cm. Convert this to square meters by dividing by 10,000: 5900/10,000 = 0.59 sq m. Since one sheet covers 0.5 sq m, you would need 2 sheets to cover the box fully, which equals 1 sq m. Therefore, the correct answer is 1.2 sq m. Choice A (0.3 sq m) is too small for the dimensions provided. Choice B (0.6 sq m) is incorrect as it doesn't match the calculated surface area. Choice D (1.8 sq m) is too high for the surface area of the box.
A man can type 45 words per minute. How many words can he type in 20 minutes?
- A. 875 words
- B. 800 words
- C. 900 words
- D. 875 words
Correct Answer: C
Rationale: To calculate the total number of words typed in 20 minutes, multiply the typing speed per minute (45 words) by the duration in minutes (20 minutes): 45 words/min 20 min = 900 words. Therefore, the correct answer is 900 words. Choices A, B, and D are incorrect because they do not reflect the accurate calculation based on the given information.
An IV drip delivers 40 drops per minute, each containing 1mg of medication. How many milligrams are administered in 3 hours (180 minutes)?
- A. 360mg
- B. 720mg
- C. 7,200mg
- D. 14,400mg
Correct Answer: C
Rationale: In this scenario, to find the total amount of medication administered in 3 hours, we first calculate the total drops administered by multiplying the drops per minute by the total minutes. This gives us 40 drops/minute * 180 minutes = 7200 drops. Then, we convert the drops to milligrams by multiplying the total drops by the amount of medication in each drop, which is 1mg. Therefore, 7200 drops * 1mg/drop = 7200mg. The correct answer is 7,200mg. Choice A is incorrect as it miscalculates the total amount. Choice B is incorrect as it doubles the correct answer. Choice D is incorrect as it quadruples the correct answer.