Nursing Elites

1. A sweater that normally sells for $78 is marked 15% off. Which of the following estimates the sale price of the sweater?

• A. $12
• B. $66
• C. $22
• D. $69

Correct answer: B

Rationale: To find the sale price after a 15% discount, you calculate 15% of $78, which is $11.70. Subtracting $11.70 from the original price gives $66.30. Since the price is typically rounded, the estimated sale price is $66. Choice A, $12, is too low and does not reflect a 15% discount off $78. Choice C, $22, and choice D, $69, are also incorrect as they do not accurately estimate the sale price after a 15% discount.

2. A sign stating 'Do Not Enter' is in the shape of a square with side lengths of 75 centimeters. What is the area in square centimeters?

• A. 150
• B. 300
• C. 5,325
• D. 5,625

Correct answer: D

Rationale: The formula for the area of a square is given by the square of its side length: Area = side × side. For this problem, the side length of the square is 75 centimeters. To find the area, you multiply 75 by itself: 75 × 75 = 5,625 square centimeters. Thus, the area of the square is 5,625 cm². This shows that option D is correct. Choices A, B, and C are incorrect as they do not correspond to the correct calculation of the area of a square with a side length of 75 centimeters.

3. Gordon purchased a television that was 30% off its original price of $472. What was the sale price?

• A. 141.60
• B. 225.70
• C. 305.30
• D. 330.40

Correct answer: D

Rationale: To find the sale price after a 30% discount, you first calculate the discount amount which is 30% of $472. 30% of $472 is $141.60. To find the sale price, you subtract the discount amount from the original price: $472 - $141.60 = $330.40. Therefore, the sale price of the television after a 30% discount would be $330.40. Choices A, B, and C are incorrect as they do not accurately reflect the calculated sale price after the discount.

4. Solve the equation 8x − 6 = 3x + 24. Which of the following is the correct solution?

• A. x = 2.5
• B. x = 3.6
• C. x = 5
• D. x = 6

Correct answer: D

Rationale: To solve the equation 8x − 6 = 3x + 24, start by adding 6 to both sides: 8x − 6 + 6 = 3x + 24 + 6, which simplifies to 8x = 3x + 30. Next, subtract 3x from both sides to get 5x = 30. Finally, divide both sides by 5 to solve for x: x = 6. Therefore, the correct solution is x = 6. Choices A, B, and C are incorrect because they do not result from the correct algebraic manipulation of the equation.

5. A container holds 10 liters of water. If 25% of the water is used, how many liters are left?

• A. 7.5 liters
• B. 8 liters
• C. 6.5 liters
• D. 8.5 liters

Correct answer: A

Rationale: To find the amount of water left after 25% is used, you need to calculate 75% of the total water. 75% of 10 liters is 7.5 liters, which means that 7.5 liters of water are left. Therefore, the correct answer is A. Choice B (8 liters) is incorrect because this would be the total water remaining if 20% was used, not 25%. Choice C (6.5 liters) is incorrect as it does not account for the correct percentage of water left. Choice D (8.5 liters) is incorrect as it miscalculates the amount of water remaining after 25% is used.

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