Nursing Elites

1. What is the difference between two equal numbers?

• A. Negative
• B. Positive
• C. Zero
• D. Not enough information

Correct answer: C

Rationale: The difference between two numbers is found by subtracting one from the other. When two numbers are equal, subtracting them results in 0, because any number minus itself is always 0. Therefore, the difference between two equal numbers is always zero, making option C the correct answer. Option A ('Negative') and option B ('Positive') are incorrect as they do not represent the result of subtracting two equal numbers, which always yields zero. Option D ('Not enough information') is also incorrect as the difference between two equal numbers is definitively known to be zero.

2. How can you distinguish between these three types of graphs - scatterplots: Quadratic, Exponential, Linear?

• A. Linear: straight line; Quadratic: U-shape; Exponential: rises or falls quickly in one direction
• B. Linear: curved line; Quadratic: straight line; Exponential: horizontal line
• C. Linear: zigzag line; Quadratic: U-shape; Exponential: flat line
• D. Linear: straight line; Quadratic: W-shape; Exponential: vertical line

Correct answer: A

Rationale: To differentiate between the three types of graphs - scatterplots, a linear graph will display a straight line, a quadratic graph will have a U-shape, and an exponential graph will show a rapid rise or fall in one direction. Choice B is incorrect because linear graphs are represented by straight lines, not curved lines. Choice C is incorrect as linear graphs do not exhibit zigzag patterns, and exponential graphs do not typically result in flat lines. Choice D is incorrect because quadratic graphs form a U-shape, not a W-shape, and exponential graphs do not represent vertical lines.

3. Solve for x: 3(x - 5) = 2(x + 3)

• A. x = 3
• B. x = 6
• C. x = 9
• D. x = 12

Correct answer: A

Rationale: To solve the equation 3(x - 5) = 2(x + 3) for x, start by distributing the terms inside the parentheses. This gives you 3x - 15 = 2x + 6. Next, combine like terms by moving all terms with x to one side and the constants to the other side. Subtracting 2x from both sides gives x - 15 = 6. Finally, adding 15 to both sides results in x = 21. Therefore, the correct answer is A: x = 3. Choices B, C, and D are incorrect as they do not result from the correct calculations of the equation.

4. At the beginning of the day, Xavier has 20 apples. At lunch, he meets his sister Emma and gives her half of his apples. After lunch, he stops by his neighbor Jim's house and gives him 6 of his apples. He then uses ¾ of his remaining apples to make an apple pie for dessert at dinner. At the end of the day, how many apples does Xavier have left?

• A. 4
• B. 6
• C. 2
• D. 1

Correct answer: D

Rationale: Xavier starts with 20 apples. He gives half to Emma, leaving him with 10 apples. After giving 6 more to Jim, he has 4 apples left. Using ¾ of the remaining 4 apples for the pie leaves him with 1 apple at the end of the day. Choice A is incorrect because it doesn't account for the apple pie Xavier made. Choices B and C are incorrect as they don't reflect the correct calculations of apples remaining after each step.

5. A can has a radius of 1.5 inches and a height of 3 inches. Which of the following best represents the volume of the can?

• A. 17.2 in³
• B. 19.4 in³
• C. 21.2 in³
• D. 23.4 in³

Correct answer: C

Rationale: The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius and h is the height. Substituting the given values (r = 1.5 inches, h = 3 inches) into the formula yields V ≈ 21.2 in³. Therefore, the correct answer is C. Choice A, 17.2 in³, is incorrect as it does not correspond to the correct calculation. Choice B, 19.4 in³, is also incorrect and does not match the calculated volume. Choice D, 23.4 in³, is not the correct volume obtained when using the provided dimensions in the formula for the volume of a cylinder.

Similar Questions