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Subtract 32 divided by 8\9.
- A. 36
- B. 32
- C. 40
- D. 44
Correct Answer: A
Rationale: 32 · (8\9) is the same as 32 (9\8) = 36.
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What factor is used to convert pounds to kilograms?
- A. 1.8
- B. 2.2
- C. 2.5
- D. 2
Correct Answer: B
Rationale: The correct factor to convert pounds to kilograms is 2.2. To perform the conversion, you need to divide the number of pounds by 2.2. Choice A (1.8) is incorrect as it's not the standard conversion factor. Choice C (2.5) and Choice D (2) are also incorrect factors for converting pounds to kilograms.
Subtract 12 1/8 - 9 1/2.
- A. 2 5/8
- B. 3 1/8
- C. 4 1/2
- D. 4 2/3
Correct Answer: A
Rationale: To subtract mixed numbers, first subtract the fractions: 1/8 - 1/2 = -3/8. Then, subtract the whole numbers: 12 - 9 = 3. Combine the whole number and fraction: 3 - 3/8 = 2 5/8. Therefore, the correct answer is A. Choice B is incorrect because it does not reflect the correct subtraction of the fractions. Choices C and D are incorrect as they do not result from the correct subtraction process outlined above.
What is 70% of 200?
- A. 100
- B. 100
- C. 200
- D. 140
Correct Answer: D
Rationale: To find 70% of a number, you multiply the number by 0.70. Therefore, 70% of 200 is calculated as 0.7 200 = 140. Choices A, B, and C are incorrect as they do not represent the correct calculation for finding 70% of 200.
Convert 9/10 to a decimal.
- A. 0.7
- B. 0.8
- C. 0.9
- D. 1
Correct Answer: C
Rationale: To convert 9/10 to a decimal, divide 9 by 10: 9 · 10 = 0.9. The correct answer is 0.9. Choice A (0.7) is incorrect as 7/10 is equal to 0.7. Choice B (0.8) is incorrect as 8/10 is equal to 0.8. Choice D (1) is incorrect as 10/10 would be equal to 1.
A train takes 1.5 hours at a constant speed of 65 mph to arrive at the destination. How many miles did the train travel?
- A. 97.5 miles
- B. 100 miles
- C. 98 miles
- D. 95 miles
Correct Answer: A
Rationale: To calculate the distance traveled, multiply the speed by the time taken: 65 mph 1.5 hours = 97.5 miles. Therefore, the correct answer is A. Choice B (100 miles) is incorrect as it results from rounding up, which is not necessary. Choice C (98 miles) and Choice D (95 miles) are incorrect as they do not reflect the correct calculation based on the given speed and time.