donald earns 8 of the selling price of each house he sells if he sells a house for 152000 how much does he earn
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HESI A2

HESI A2 Math 2024

1. Donald earns 8% of the selling price of each house he sells. If he sells a house for $152,000, how much does he earn?

Correct answer: B

Rationale: To calculate how much Donald earns from selling a house for $152,000 at an 8% commission rate, we multiply the selling price by the commission rate: $152,000 x 0.08 = $12,160. Therefore, he earns $12,160. Choice A, $12,160, is the correct answer as calculated. Choices C and D are incorrect amounts as they do not result from the given information. Choice C, $19,000, is significantly higher than the correct calculation, and choice D, $21,600, is the result of incorrectly adding the commission to the selling price instead of calculating the commission earned.

2. 7:5=91:x. Find x.

Correct answer: A

Rationale: To solve the proportion 7:5=91:x, cross multiply to get 7x = 5 * 91. Then, solve for x by dividing both sides by 7, which gives x = 65. Therefore, the correct answer is x=65. Choice B, x=55, is incorrect because it does not satisfy the proportion equation. Choices C and D, x=75 and x=85, are also incorrect as they do not match the calculated value of x when the proportion is solved.

3. The price of an item increased from $9.00 to $10.00. What percentage did the price increase by?

Correct answer: B

Rationale: To calculate the percentage increase, subtract the original price from the new price, then divide the result by the original price and multiply by 100. In this case, the increase is $10.00 - $9.00 = $1.00. $1.00 divided by $9.00 is approximately 0.1111, which equals 11.11%, making choice B the correct answer. Choice A, 5%, is too low as the increase is more than 5%. Choice C, 20%, and choice D, 25%, are too high, exaggerating the actual increase of $1.00.

4. 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.

5. Add: 34 + 74 + 37 = ?

Correct answer: A

Rationale: To find the sum of the numbers 34 + 74 + 37, add them together: 34 + 74 + 37 = 145. Therefore, the correct answer is A. Choice B (155) is incorrect as it results from adding 34 + 74 + 37 incorrectly. Choice C (154) is incorrect as it is the result of adding the first two numbers correctly, but missing the addition of the third number. Choice D (135) is incorrect as it is the result of a calculation error, possibly adding the numbers in a different order.

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