Nursing Elites

1. Positive integers are numbers greater than zero. Which of the following expressions results in the largest positive number?

• A. (2 + 3)^2
• B. 5 x 7 + 2
• C. 10^2 - 4^2
• D. (8 - 1) x 3

Correct answer: C

Rationale: To find the largest positive number among the expressions, we evaluate each one: A) (2 + 3)^2 = 5^2 = 25 B) 5 x 7 + 2 = 35 + 2 = 37 C) 10^2 - 4^2 = 100 - 16 = 84 D) (8 - 1) x 3 = 7 x 3 = 21 Therefore, the expression that results in the largest positive number is 10^2 - 4^2, which equals 84. Choices A, B, and D result in smaller numbers.

2. If Mr. Johnson gives half of his pay to his family, $250 to his landlord, and has exactly 3/7 of his pay left over, how much pay does he receive?

• A. $3,600
• B. $3,500
• C. $2,800
• D. $1,750

Correct answer: B

Rationale: Let Mr. Johnson's pay be represented as x. After giving half of his pay to his family, he has x/2 left. Subtracting $250 paid to his landlord, he has x/2 - $250 remaining. Given that this remaining amount is 3/7 of his original pay, the equation becomes x/2 - $250 = 3x/7. Solving this equation shows that x = $3,500. Therefore, Mr. Johnson receives $3,500. Choices A, C, and D are incorrect as they do not align with the correct calculation based on the given conditions in the question.

3. A train travels at 70 mph for 6 hours. How far did it travel?

• A. 490 miles
• B. 490 miles
• C. 540 miles
• D. 420 miles

Correct answer: D

Rationale: To find the distance traveled, multiply the speed of 70 mph by the time of 6 hours: 70 mph × 6 hours = 420 miles. Therefore, the correct answer is 420 miles. Choices A, B, and C are incorrect as they do not result from the correct calculation.

4. A baker can bake 4 cakes with 10 cups of sugar. If he has a 30-cup bag that is half full, how many cakes can he bake?

• A. 6 cakes
• B. 5 cakes
• C. 7 cakes
• D. 8 cakes

Correct answer: A

Rationale: If the 30-cup bag is half full, it contains 15 cups of sugar. Since 10 cups are needed to bake 4 cakes, the baker can bake 4 * (15 / 10) = 6 cakes. Therefore, the correct answer is 6 cakes. Choice B, 5 cakes, is incorrect as it does not consider the correct sugar-to-cake ratio. Choices C and D are incorrect as they do not accurately calculate the number of cakes based on the available sugar.

5. The physician orders 60 mg of Augmentin; 80 mg/mL is on hand. How many milliliters will you give?

• A. 1 ml
• B. 0.5 ml
• C. 0.75 ml
• D. 1.25 ml

Correct answer: C

Rationale: To find the volume required, divide the prescribed dose (60 mg) by the concentration available (80 mg/mL): 60 mg ÷ 80 mg/mL = 0.75 mL. Therefore, 0.75 mL is the correct amount to administer. Choice A (1 ml) is incorrect as it does not consider the concentration of the solution. Choice B (0.5 ml) is incorrect as it is half the correct amount. Choice D (1.25 ml) is incorrect as it is more than the calculated correct amount.

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