a solution is 60 alcohol if 200ml of the solution are used how much pure alcohol is present
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HESI A2

HESI A2 Math 2024

1. 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.

2. Chun Mei earns a 5% commission on each appliance she sells. If she sells a washer for $749 and a dryer for $689, what will her commission be?

Correct answer: B

Rationale: To calculate Chun Mei's commission, we first find the total sales amount by adding the prices of the washer and dryer: $749 + $689 = $1438. Next, we calculate her 5% commission on this total sales amount: 0.05 * $1438 = $71.90. Therefore, Chun Mei's commission for selling both appliances will be $71.90. Choice B, $71.90, is the correct answer. Choices A, C, and D are incorrect as they do not reflect the accurate calculation of Chun Mei's commission based on the given scenario.

3. A healthcare professional works in a military hospital from 1300 to 2000. What time of day does this healthcare professional work?

Correct answer: C

Rationale: The shift from 1300 (1:00 PM) to 2000 (8:00 PM) corresponds to early afternoon to bedtime. Therefore, the correct answer is C, as this healthcare professional works during the early afternoon to bedtime hours. Choices A, B, and D are incorrect because the work hours fall within the early afternoon to evening time frame, not early morning, lunchtime, or midnight to sunrise.

4. A woman received a bottle of perfume as a present. The bottle contains ½ oz of perfume. How many milliliters is this?

Correct answer: B

Rationale: To convert ounces to milliliters, we know that 1 ounce is approximately 30 mL. Therefore, 0.5 ounces would be half of that, which is 15 mL. So, 0.5 oz of perfume is equal to 15 mL. Choice A (10 mL), Choice C (20 mL), and Choice D (25 mL) are incorrect as they do not reflect the accurate conversion from ounces to milliliters.

5. What time is 6:30 A.M. in military time?

Correct answer: A

Rationale: Military time uses a 24-hour clock format where the hours range from 00 to 23. In this format, 6:30 A.M. is expressed as 0630. Choice B (6030) and Choice C (1503) are incorrect as they do not follow the 24-hour clock format. Choice D (1530) represents 3:30 P.M., not 6:30 A.M.

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