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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.
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A rectangular bandage measures 5cm by 8cm. What is the area covered by the bandage?
- A. 10cm
- B. 13cm
- C. 40cm^2
- D. 64cm^2
Correct Answer: D
Rationale: Rationale:
To find the area of a rectangle, you multiply the length by the width. In this case, the length of the bandage is 8cm and the width is 5cm.
Area = length x width
Area = 8cm x 5cm
Area = 40cm^2
Therefore, the area covered by the bandage is 40cm^2.
Solve for x: 120:x::40:0.5.
- A. 1.5
- B. 60
- C. 0.167
- D. 16
Correct Answer: A
Rationale: To solve the proportion 120:x::40:0.5, cross-multiply to get 120 * 0.5 = 40 * x. This simplifies to 60 = 40x. Dividing both sides by 40 gives x = 1.5. Therefore, the correct answer is A. Choice B (60) is incorrect because x is not equal to 60. Choice C (0.167) is incorrect as it does not result from solving the proportion. Choice D (16) is also incorrect because x is not equal to 16.
Solve for x: 4x - 8 = 16.
- A. x = 7
- B. x = 7
- C. x = 4
- D. x = 6
Correct Answer: D
Rationale: To solve the equation 4x - 8 = 16, first, add 8 to both sides to isolate 4x: 4x = 24. Then, divide by 4 to solve for x: x = 6. Therefore, the correct answer is D. Choice A, x = 7, is incorrect as the correct solution is x = 6. Choices B and C are duplicates of choice A and are also incorrect.
What is the probability of getting a 1 on a six-sided die?
- A. 1/6
- B. 1/4
- C. 1/3
- D. 1/2
Correct Answer: A
Rationale: The probability of getting a '1' on a six-sided die is 1 out of 6 possible outcomes, making it a 1/6 probability. Therefore, choice A is correct. Choices B, C, and D are incorrect because they do not represent the correct probability of rolling a '1' on a standard six-sided die.
How many ounces are in 2.5 gallons?
- A. 240 ounces
- B. 160 ounces
- C. 320 ounces
- D. 240 ounces
Correct Answer: C
Rationale: To convert gallons to ounces, we need to know that 1 gallon is equal to 128 ounces. Therefore, 2.5 gallons would be 2.5 x 128 = 320 ounces. This makes choice C, '320 ounces,' the correct answer. Choices A, B, and D are incorrect because they do not correctly calculate the conversion from gallons to ounces.