Nursing Elites

1. Eighty percent of the class passed with a 75 or higher. If that percentage equals 24 students, how many students were in the whole class?

• A. 18
• B. 30
• C. 36
• D. 60

Correct answer: C

Rationale: If 80% of the class passed with a 75 or higher, and that equals 24 students, you can set up a proportion to find the total number of students in the class. Since 80% is equal to 24 students, 100% (the whole class) would be equal to (24/80) x 100 = 30 students. Therefore, the total number of students in the whole class is 30 / 80 x 100 = 36. Choice A (18) is incorrect as it does not match the calculation based on the information given. Choice B (30) is incorrect because it represents the intermediate calculation but not the total number of students in the class. Choice D (60) is incorrect as it is double the correct answer and does not align with the given information.

2. Out of a total of 50 homes, she sold 11. What percentage of the homes did she sell?

• A. 16%
• B. 18%
• C. 22%
• D. 24%

Correct answer: C

Rationale: To find the percentage of homes she sold, divide the number of homes she sold (11) by the total number of homes (50), then multiply by 100. (11 / 50) * 100 = 22%. Therefore, she sold 22% of the homes. Choice A (16%) is incorrect because it is less than the correct percentage. Choice B (18%) is also less than the correct percentage. Choice D (24%) is greater than the correct percentage of homes she sold.

3. There are 6,657 marbles in a jar. Approximately 34% are white, and the rest are black. How many black marbles are there?

• A. 4,394
• B. 4,000
• C. 3,000
• D. 5,000

Correct answer: A

Rationale: To find the number of black marbles, we need to calculate the percentage that represents the black marbles, which is 100% - 34% = 66%. Then, we find 66% of 6,657 to determine the number of black marbles. 66% of 6,657 is approximately 4,394, so there are 4,394 black marbles in the jar. Choice A is correct. Choices B, C, and D are incorrect as they do not reflect the correct calculation for the number of black marbles in the jar.

4. Convert the decimal to a percent: 0.000026

• A. 0.0026%
• B. 0.026%
• C. 2.6%
• D. 26%

Correct answer: A

Rationale: To convert a decimal to a percent, you multiply by 100. In this case, 0.000026 * 100 = 0.0026%. Therefore, the correct answer is A: 0.0026%. Choices B, C, and D are incorrect because they incorrectly place the decimal point, resulting in percentages that are too large.

5. 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.

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