Nursing Elites

1. A woman wants to stack two bookcases, one 32.75 inches tall and another 17.25 inches tall. How tall will they be when stacked together?

• A. 49.5 inches
• B. 50 inches
• C. 48 inches
• D. 51 inches

Correct answer: B

Rationale: To find the total height of the stacked bookcases, you need to add the heights of the two bookcases: 32.75 inches + 17.25 inches = 50 inches. Therefore, the correct answer is 50 inches. Choice A (49.5 inches) is incorrect as it does not consider rounding off the total height. Choices C (48 inches) and D (51 inches) are incorrect as they do not accurately calculate the sum of the heights of the two bookcases.

2. Given that three vertices of a parallelogram are (1, 2), (3, 4), and (5, 6), what are the coordinates of the fourth vertex?

• A. (1, 6)
• B. (3, 2)
• C. (5, 2)
• D. (7, 8)

Correct answer: D

Rationale: To find the fourth vertex of a parallelogram, we can use the properties of a parallelogram. Opposite sides of a parallelogram are parallel and equal in length. Therefore, we can determine the fourth vertex by extending the line formed by the first two points. If we extend the line from (1, 2) to (3, 4), we find that it has a slope of 1. This means that extending the line from (3, 4) by the same slope will give us the fourth vertex. By adding 2 units to both x and y coordinates of (5, 6), we get (7, 8) as the coordinates of the fourth vertex. Therefore, the correct answer is (7, 8). Choices A, B, and C are incorrect as they do not satisfy the properties of a parallelogram and the given coordinate points.

3. What is the volume of a cube with a side length of 3 cm?

• A. 9 cm³
• B. 27 cm³
• C. 18 cm³
• D. 12 cm³

Correct answer: B

Rationale: To find the volume of a cube, you cube the length of one side. In this case, the side length is 3 cm, so the volume is calculated as 3 cm * 3 cm * 3 cm = 27 cm³. Therefore, the correct answer is 27 cm³. Choice A (9 cm³), Choice C (18 cm³), and Choice D (12 cm³) are incorrect as they do not correctly calculate the volume of a cube with a side length of 3 cm.

4. Joshua needs more than 92 points to qualify for a scholarship. Each question is worth 4 points, and there are 30 questions. What inequality determines how many questions he must answer correctly?

• A. 4x < 92
• B. 4x > 92
• C. 4x < 120
• D. 4x > 120

Correct answer: B

Rationale: To determine the number of questions Joshua must answer correctly, we divide the total points required (92) by the points per question (4) to get 23. Since he needs more than 92 points, he must answer more than 23 questions correctly, which is represented by the inequality 4x > 92. Choices A, C, and D are incorrect because they do not accurately reflect the requirement for Joshua to answer more than 92 points' worth of questions.

5. If m represents a car’s average mileage in miles per gallon, p represents the price of gas in dollars per gallon, and d represents a distance in miles, which of the following algebraic equations represents the cost, c, of gas per mile?

• A. c = dp/m
• B. c = p/m
• C. c = mp/d
• D. c = m/p

Correct answer: B

Rationale: The cost of gas per mile, c, is calculated by dividing the price of gas, represented by p, by the car's average mileage, represented by m. Therefore, the correct equation is c = p/m. Choice A (dp/m) incorrectly multiplies the price of gas and distance, while choice C (mp/d) incorrectly multiplies the average mileage and price of gas. Choice D (m/p) incorrectly divides the average mileage by the price of gas, which does not represent the cost of gas per mile.

Similar Questions