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How many ounces are in 2.5 quarts?
- A. 64 ounces
- B. 40 ounces
- C. 32 ounces
- D. 80 ounces
Correct Answer: D
Rationale: To convert quarts to ounces, you need to know that 1 quart is equal to 32 ounces. Therefore, to find out how many ounces are in 2.5 quarts, you multiply 2.5 by 32, which equals 80 ounces. So, the correct answer is 80 ounces. Choice A (64 ounces) is incorrect as it miscalculates the conversion. Choice B (40 ounces) is incorrect as it does not consider the correct conversion factor. Choice C (32 ounces) is incorrect as it provides the conversion for 1 quart only, not for 2.5 quarts.
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A circular bandage has a diameter of 6cm. What is the area covered by the bandage (area of a circle = πr^2)?
- A. 9π cm^2
- B. 18π cm^2
- C. 27π cm^2
- D. 36π cm^2
Correct Answer: C
Rationale: Rationale:
- The formula for the area of a circle is A = πr^2, where r is the radius of the circle.
- The diameter of the circular bandage is 6 cm, so the radius (r) is half of the diameter, which is 6/2 = 3 cm.
- Substitute the radius (r = 3 cm) into the formula for the area of a circle: A = π(3)^2 = 9π cm^2.
- Therefore, the area covered by the bandage is 9π cm^2.
A train travels at 65 mph for 1.5 hours. How far did it travel?
- A. 97.5 miles
- B. 95 miles
- C. 100 miles
- D. 100.5 miles
Correct Answer: A
Rationale: To find the distance traveled, multiply the speed of the train (65 mph) by the time it traveled (1.5 hours): 65 mph 1.5 hours = 97.5 miles. Therefore, the train traveled 97.5 miles. Choice B, 95 miles, is incorrect as it does not account for the correct calculation. Choice C, 100 miles, is incorrect as it is a rounded-up value. Choice D, 100.5 miles, is incorrect as it is a miscalculation.
Multiply: 4/9 1 4/5 2/5.
- A. 8/25
- B. 1 & 10/19
- C. 7/16
- D. 32/45
Correct Answer: A
Rationale: To multiply the fractions, convert the mixed numbers to improper fractions: 1 4/5 = 9/5. Then, multiply the fractions: (4/9) (9/5) (2/5) = 8/25. The correct answer is A. Choice B is incorrect as it does not match the result of the multiplication. Choice C is incorrect as it is not the result of multiplying the fractions. Choice D is incorrect as it is not the result of the given multiplication.
Subtract 2 5\8 - 7\8 and reduce.
- A. 1 & 5\8
- B. 1 & 1\4
- C. 1 & 6\8
- D. 1 & 3\4
Correct Answer: A
Rationale: Subtract the fractions first: 2 5\8 - 7\8 = 1 & 5\8.
A die is rolled. What is the probability of getting 5?
- A. 16.67%
- B. 20%
- C. 50%
- D. 83.33%
Correct Answer: A
Rationale: The correct answer is A: 16.67%. When rolling a standard 6-sided die, each face has an equal probability of 1/6. Therefore, the probability of rolling a 5 specifically is 1/6, which is approximately 16.67% when converted to a percentage. Choices B, C, and D are incorrect because they do not reflect the correct probability of rolling a 5 on a standard die.