Nursing Elites

1. Mathew has to earn more than 96 points on his high school entrance exam in order to be eligible for varsity sports. Each question is worth 3 points, and the test has a total of 40 questions. Let x represent the number of test questions. How many questions can Mathew answer incorrectly and still qualify for varsity sports?

• A. x > 32
• B. x > 8
• C. 0 ≤ x < 8
• D. 0 ≤ x ≤ 8

Correct answer: C

Rationale: To determine the number of correct answers Mathew needs, solve the inequality: 3x > 96. This simplifies to x > 32. Therefore, Mathew must answer more than 32 questions correctly to qualify for varsity sports. Since the test consists of 40 questions, he can afford to answer at most 40 - 32 = 8 questions incorrectly. Therefore, the correct answer is 0 ≤ x < 8. Option A (x > 32) is incorrect as it suggests Mathew needs to answer more than 32 questions correctly, which is not the case. Option B (x > 8) is also incorrect as it does not account for the total number of questions in the test. Option D (0 ≤ x ≤ 8) is incorrect as it includes the possibility of answering all questions incorrectly, which is not allowed for Mathew to qualify for varsity sports.

2. A scientist is trying to determine how much poison will kill a rat the fastest. Which of the following statements is an example of an appropriate hypothesis?

• A. Rats that are given lots of poison seem to die quickly.
• B. Does the amount of poison affect how quickly the rat dies?
• C. The more poison a rat is given, the quicker it will die.
• D. Poison is fatal to rats.

Correct answer: C

Rationale: A valid hypothesis must be a testable statement that predicts a relationship between variables. Option C is the only statement that presents a clear cause-and-effect relationship between the amount of poison given and the time it takes for the rat to die. Option A is descriptive without predicting an outcome, option B is a question rather than a statement, and option D is a general fact about poison and rats, lacking a specific hypothesis for testing.

3. If 9.5% of a town's population of 51,623 people voted for a proposition, approximately how many people voted for the proposition?

• A. 3000
• B. 5000
• C. 7000
• D. 10000

Correct answer: B

Rationale: To find the approximate number of people who voted for the proposition, multiply the town's population by the percentage that voted: 51,623 * 9.5% = 51,623 * 0.095 ≈ 4,904. Therefore, approximately 5,000 people voted for the proposition. Choice A (3000), C (7000), and D (10000) are incorrect because they do not accurately represent 9.5% of the town's population.

4. How do you convert pounds to kg and kg to pounds?

• A. Multiply by 2.2 for pounds; divide by 2.2 for kg
• B. Multiply by 2 for pounds; divide by 2 for kg
• C. Multiply by 1.8 for pounds; divide by 1.8 for kg
• D. Multiply by 1.5 for pounds; divide by 1.5 for kg

Correct answer: A

Rationale: To convert pounds to kg, you need to divide by 2.2, not multiply. Similarly, to convert kg to pounds, you should multiply by 2.2. Therefore, choice A is correct. Choices B, C, and D are incorrect because they provide incorrect conversion factors for pounds and kg, leading to inaccurate results.

5. x ÷ 7 = x − 36. Solve the equation. Which of the following is correct?

• A. x = 6
• B. x = 42
• C. x = 4
• D. x = 252

Correct answer: B

Rationale: To solve the equation x ÷ 7 = x − 36, start by multiplying both sides by 7 to get 7(x ÷ 7) = 7(x − 36), which simplifies to x = 7x − 252. Next, subtract 7x from both sides to get -6x = -252. Finally, divide both sides by -6 to solve for x, which results in x = 42. Therefore, the correct answer is x = 42. Choice A (x = 6), Choice C (x = 4), and Choice D (x = 252) are incorrect as they do not align with the correct solution derived from the equation.

Similar Questions