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A female ran a 24-mile course. Her first 6 miles took 1 hour, the second set of 6 miles took 1.2 hours, the third set of 6 miles took 1.5 hours, and the fourth set of 6 miles took 1.6 hours. How long did it take her to complete the course?
- A. 5.3 hours
- B. 4.5 hours
- C. 6 hours
- D. 7 hours
Correct Answer: A
Rationale: To find the total time taken, add the time for each segment: 1 hour + 1.2 hours + 1.5 hours + 1.6 hours = 5.3 hours. Therefore, it took her 5.3 hours to complete the course. The other choices are incorrect because they do not accurately reflect the cumulative time calculated based on the given information.
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If a man reads 2 chapters a day and there are 6 pages per chapter in a 798-page book, how long will it take him to finish the book?
- A. 133 days
- B. 399 days
- C. 75 days
- D. 66.5 days
Correct Answer: D
Rationale: To find the total number of chapters, divide the total number of pages by the number of pages per chapter: 798 · 6 = 133 chapters. If he reads 2 chapters a day, it will take him 133 · 2 = 66.5 days to finish the book. Therefore, the correct answer is 66.5 days. Choice A is incorrect because it miscalculates the number of days required. Choices B and C are incorrect as they do not consider the correct calculation based on the given information.
A newborn weighs 3,459 grams. There are 453.59 grams per pound. What is the infant's weight in pounds and ounces?
- A. 7 lbs 10 oz
- B. 10 lbs 7 oz
- C. 13 lbs 3 oz
- D. 3 lbs 13 oz
Correct Answer: A
Rationale: To find the weight in pounds, divide the weight in grams by the conversion factor (453.59 grams per pound). 3,459 grams · 453.59 = approximately 7 lbs 10 oz. Therefore, choice A (7 lbs 10 oz) is the correct answer. Choice B (10 lbs 7 oz) and Choice C (13 lbs 3 oz) are incorrect as they do not correspond to the correct conversion. Choice D (3 lbs 13 oz) is incorrect as it does not account for the additional pounds derived from dividing 3,459 grams by the conversion factor.
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: 5x + 10 = 20.
- A. 4
- B. 2
- C. 5
- D. 7
Correct Answer: A
Rationale: To solve the equation 5x + 10 = 20, first subtract 10 from both sides to isolate the term with x: 5x = 10. Then, divide by 5 on both sides to find the value of x: x = 2. Therefore, the correct answer is A. Choice B is incorrect because x is not equal to 2 but 4. Choice C is incorrect as x is not equal to 5. Choice D is incorrect as x is not equal to 7.
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.