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If the outside temperature on a sunny day is 82 degrees on the Fahrenheit scale, what is the approximate temperature on the Celsius scale?
- A. 18°C
- B. 24°C
- C. 28°C
- D. 50°C
Correct Answer: C
Rationale: To convert Fahrenheit to Celsius, you can use the formula:
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Multiply 12 by 15 and express the result as a decimal:
- A. 0.0018
- B. 0.018
- C. 0.18
- D. 1.8
Correct Answer: D
Rationale: To find the product of 12 and 15, you simply multiply them together. 12 multiplied by 15 equals 180. To express 180 as a decimal, you divide by 100. Therefore, the correct answer is 1.8. Choices A, B, and C are incorrect as they represent values that are not the correct result of multiplying 12 by 15 and converting it to a decimal.
A plan for a house is drawn on a 1:40 scale. If the length of the living room on the plan measures 5 inches, what is the actual length of the built living room?
- A. 45 feet
- B. 25 feet
- C. 15 feet
- D. 12 feet
Correct Answer: C
Rationale: Since the scale of the plan is 1:40, this means that 1 inch on the plan represents 40 inches in reality. Therefore, the actual length of the living room can be calculated as 5 inches on the plan multiplied by the scale factor of 40, which equals 200 inches. Converting 200 inches to feet gives us 15 feet as the actual length of the built living room. Choice A (45 feet) is incorrect because it miscalculates the conversion from inches to feet. Choice B (25 feet) is incorrect as it does not consider the scale factor provided. Choice D (12 feet) is incorrect as it does not apply the correct scale factor to convert the plan's measurements to reality.
At the book sale, Geoff paid 35 cents apiece for 5 paperbacks and $50 apiece for 3 hardcover books. He gave the clerk a $10 bill. How much change did he receive?
- A. $0.50
- B. $0.75
- C. $1.25
- D. $1.75
Correct Answer: B
Rationale: Geoff paid a total of 5 paperbacks x $0.35/paperback + 3 hardcover books x $50/hardcover book = $1.75 + $150 = $8.75. Since he gave the clerk a $10 bill, he received $10 - $8.75 = $1.25 change. However, since the options are in increments of $0.25, the closest amount is $0.75, so Geoff received $0.75 change. Option A is incorrect because it's not the closest amount to the actual change. Option C is incorrect as it represents the total change Geoff received, not the closest increment. Option D is incorrect as it overestimates the change Geoff received.
Write the date 2007 in Roman numerals.
- A. MMVII
- B. MDVII
- C. MMDII
- D. MMXD
Correct Answer: A
Rationale: In Roman numerals, the date 2007 is correctly represented as MMVII. The Roman numeral M stands for 1000, and when repeated twice (MM), it represents 2000. The Roman numeral V represents 5, and when followed by II (two ones), it correctly represents 2007. Choice B (MDVII) is incorrect because D represents 500, and 2007 is greater than that. Choice C (MMDII) is incorrect because D represents 500, and there are two of them, making it 1000, not 2000. Choice D (MMXD) is incorrect as XD is an invalid Roman numeral combination.
Multiply: 52 04 =
- A. 0.00208
- B. 0.0208
- C. 0.208
- D. 2.08
Correct Answer: B
Rationale: To multiply 52 by 04, you first multiply the two numbers together: 52 x 4 = 208. Since there are two decimal places in the expression, you need to divide the result by 100, which gives you 0.0208. Therefore, the correct answer is B. Choice A (0.00208) is incorrect because it represents a much smaller value obtained by considering the decimal incorrectly. Choice C (0.208) is incorrect because it does not account for the decimal placement. Choice D (2.08) is incorrect as it does not consider the requirement to convert the result into decimal form.