Nursing Elites

1. A circular swimming pool has a circumference of 49 feet. What is the diameter of the pool?

• A. 15.6 feet
• B. 17.8 feet
• C. 49 feet
• D. 153.9 feet

Correct answer: A

Rationale: The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter. Given C = 49 feet, we can rearrange the formula to solve for d: 49 feet = πd. To find the diameter, we divide both sides by π, giving us d = 49 feet / π ≈ 15.6 feet. Therefore, the diameter of the swimming pool is approximately 15.6 feet. Choices B, C, and D are incorrect because they do not align with the calculation based on the formula for the circumference of a circle.

2. A sandwich shop earns $4 for every sandwich (s) it sells, $2 for every drink (d), and $1 for every cookie (c). If this is all the shop sells, which of the following equations represents what the shop’s revenue (r) is over three days?

• A. r = 4s + 2d + 1c
• B. r = 8s + 4d + 2c
• C. r = 12s + 6d + 3c
• D. r = 16s + 8d + 4c

Correct answer: A

Rationale: Let s be the number of sandwiches sold. Each sandwich earns $4, so selling s sandwiches at $4 each results in revenue of $4s. Similarly, d drinks at $2 each give $2d of income, and cookies bring in $1c. Summing these values gives total revenue = 4s + 2d + 1c. Therefore, option A, r = 4s + 2d + 1c, correctly represents the shop's revenue. Choices B, C, and D are incorrect because they incorrectly multiply the prices of each item by more than one day's sales, which would overstate the total revenue for a three-day period.

3. A patient requires a 30% increase in the dosage of their medication. Their current dosage is 270 mg. What will their dosage be after the increase?

• A. 81 mg
• B. 270 mg
• C. 300 mg
• D. 351 mg

Correct answer: D

Rationale: To calculate a 30% increase from the current dosage of 270 mg, first find 30% of 270, which is 81 mg. Add this 81 mg increase to the original dosage of 270 mg to get the new dosage, which is 351 mg (270 mg + 81 mg = 351 mg). Therefore, the correct answer is 351 mg. Choice A (81 mg) is incorrect because this value represents only the calculated 30% increase, not the total dosage after the increase. Choice B (270 mg) is the original dosage and does not account for the 30% increase. Choice C (300 mg) is close to the correct answer but does not consider the precise 30% increase calculation, leading to an incorrect total dosage.

4. Sarah buys one red can of paint every month. If she continues this for four months, how many red cans did she buy?

• A. 2
• B. 3
• C. 4
• D. 5

Correct answer: C

Rationale: The correct answer is C. Sarah buys one red can of paint every month for four months. Therefore, if she continues this pattern for four months, she would have bought a total of 4 red cans. Choices A, B, and D are incorrect because they do not reflect the total number of red cans accumulated over the specified period of four months.

5. If a product's original price is $80 and it is discounted by 20%, what is the final price?

• A. 64
• B. 60
• C. 70
• D. 66

Correct answer: A

Rationale: To find the discounted price, you first calculate 20% of the original price: 20% of $80 is $16. Subtracting this discount amount from the original price gives the final price: $80 - $16 = $64. Therefore, the final price after a 20% discount on a product originally priced at $80 is $64. Choice B, $60, is incorrect because it does not account for the correct discount amount. Choice C, $70, is incorrect as it does not reflect the reduction due to the 20% discount. Choice D, $66, is incorrect as it miscalculates the discounted price.

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