which of these dates is represented by the roman numeral mdxvi
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HESI A2

HESI A2 Math 2024

1. Which of these dates is represented by the Roman numeral MDXVI?

Correct answer: D

Rationale: The Roman numeral MDXVI translates to 1516 in Arabic numerals. The Roman numeral 'M' represents 1000, 'D' represents 500, 'X' represents 10, and 'VI' represents 6, which adds up to 1516. Therefore, the correct answer is 1516. Choices A, B, and C are incorrect as they do not match the Roman numeral MDXVI.

2. A solution is 60% alcohol. If 200ml of the solution is used, how much pure alcohol is present?

Correct answer: B

Rationale: If the solution is 60% alcohol, it means that 60% of the solution is alcohol. Therefore, in 200ml of the solution, the amount of alcohol present is: 200ml * 60% = 200ml * 0.60 = 120ml. So, when 200ml of the solution is used, there are 120ml of pure alcohol present. Choice A, 100ml, is incorrect because it does not account for the correct percentage of alcohol in the solution. Choice C, 140ml, and Choice D, 160ml, are incorrect as they overestimate the amount of pure alcohol present in the solution.

3. 5\7 + 3\14 = ?

Correct answer: A

Rationale: To add fractions with different denominators, first find a common denominator. The least common denominator between 7 and 14 is 14. Convert 5/7 to 10/14: 5 / 7 = 10 / 14 5/7=10/14 Now add the two fractions: 10 / 14 + 3 / 14 = 13 / 14 10/14+3/14=13/14

4. A patient weighs 180 pounds. What is their weight in kilograms (1kg = 2.2lbs)?

Correct answer: C

Rationale: To convert pounds to kilograms, you need to divide the weight in pounds by the conversion factor of 2.2 (1kg = 2.2lbs). 180 pounds / 2.2 = 81.82 kg Rounded to the nearest whole number, the weight of 180 pounds is approximately 82kg. Therefore, the correct answer is 82kg, which is option C. Option B (75kg) is not correct as it is significantly lower than the calculated value. Options A (68kg) and D (90kg) are also incorrect as they do not match the converted weight of 180 pounds.

5. What is the volume of a birthday party hat with a cone-shaped top having a radius of 5cm and a height of 12cm?

Correct answer: C

Rationale: To find the volume of a cone, we use the formula: (1/3) * π * (radius)^2 * height. Substituting the given values: (1/3) * π * (5cm)^2 * 12cm = 150 cu cm. Therefore, the correct answer is C. Choice A, B, and D are incorrect as they do not correspond to the correct calculation using the formula for the volume of a cone.

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