Nursing Elites

1. Solve the proportion (find the value of x): 9:14 = x:56.

• A. x = 14
• B. x = 25
• C. x = 36
• D. x = 42

Correct answer: C

Rationale: To solve the proportion 9:14 = x:56, you can cross multiply to get 9 * 56 = 14 * x. This simplifies to 504 = 14x. Dividing by 14 on both sides gives x = 36. Therefore, the value of x in the proportion is 36. Choice A, x = 14, is incorrect as it does not satisfy the proportion equation. Choice B, x = 25, is incorrect as it is not the value that makes the proportion true. Choice D, x = 42, is incorrect as it does not correctly satisfy the proportion equation.

2. The price dropped from $200 to $150. By what percentage did the price decrease?

• A. 5%
• B. 10%
• C. 20%
• D. 25%

Correct answer: D

Rationale: The difference between the original price ($200) and the new price ($150) is $50. To find the percentage decrease, divide the difference by the original price and multiply by 100: ($50 / $200) × 100 = 25%. Therefore, the correct answer is D, meaning the price decreased by 25%. Choices A, B, and C are incorrect as they do not accurately represent the percentage decrease in price.

3. Round to the nearest whole number. Change the fraction to a percent: 17/80 =

• A. 20%
• B. 21%
• C. 22%
• D. 23%

Correct answer: B

Rationale: To convert 17/80 to a percent, we divide 17 by 80 to get 0.2125. Multiplying by 100, we get 21.25%. Rounding to the nearest whole number, 21.25% becomes 21%. Choice A (20%) is incorrect because rounding 21.25% down to the nearest whole number gives 21%. Choice C (22%) is incorrect as it is the next whole number after 21. Choice D (23%) is incorrect as it is more than 21.25% and thus rounds up to 22%.

4. Gerald can bake 3 dozen cookies in 30 minutes. How long will it take him to bake 12 dozen cookies?

• A. 90 minutes
• B. 1 hour 40 minutes
• C. 2 hours
• D. 4 hours

Correct answer: B

Rationale: If Gerald can bake 3 dozen cookies in 30 minutes, then he can bake 1 dozen cookies in 10 minutes (30 minutes / 3 = 10 minutes). To bake 12 dozen cookies, it would take him 120 minutes (12 dozen x 10 minutes = 120 minutes), which is equivalent to 1 hour and 40 minutes. Choice A (90 minutes) is incorrect because it does not account for the correct proportion of cookies baked. Choice C (2 hours) and Choice D (4 hours) are incorrect as they overestimate the time required based on the given information.

5. In a class of 25 students, 44% are boys. How many boys are there?

• A. 10 boys
• B. 11 boys
• C. 9 boys
• D. 13 boys

Correct answer: B

Rationale: To find the number of boys in the class, calculate 44% of 25 students. 44% of 25 is calculated as follows: 0.44 x 25 = 11 boys. Therefore, there are 11 boys in the class. Choice A, 10 boys, is incorrect as it miscalculates the percentage. Choice C, 9 boys, is incorrect as it is less than 11. Choice D, 13 boys, is incorrect as it is greater than the correct calculation.

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