Nursing Elites

1. Which of the following is the y-intercept of the line whose equation is 7y − 42x + 7 = 0?

• A. (1/6, 0)
• B. (6, 0)
• C. (0, −1)
• D. (−1, 0)

Correct answer: C

Rationale: To find the y-intercept, set x = 0 in the equation 7y − 42x + 7 = 0. This simplifies to 7y - 42(0) + 7 = 0, which gives 7y = -7. Solving for y, we get y = -1. Therefore, the y-intercept is where x = 0, so the correct answer is (0, -1). Choice A (1/6, 0) is incorrect as it does not satisfy the given equation when x = 0. Choice B (6, 0) is incorrect as it represents the x-intercept. Choice D (-1, 0) is incorrect as it does not correspond to the y-intercept of the given equation.

2. Which is larger, feet or meters? What is the correct conversion factor between feet and meters?

• A. Feet are larger; 1 foot is 0.3048 meters
• B. Meters are larger; 1 meter is 3.28 feet
• C. Feet are smaller; 1 foot is 0.5 meters
• D. Meters are smaller; 1 meter is 2 feet

Correct answer: A

Rationale: The correct answer is A. Feet are larger than meters. The conversion factor between feet and meters is 1 foot = 0.3048 meters. Choice B is incorrect as it states that meters are larger than feet, which is the opposite of the truth. Choice C is incorrect as it provides an incorrect conversion factor of 1 foot = 0.5 meters, which is inaccurate. Choice D is also incorrect as it suggests that meters are smaller than feet, which is not true.

3. A person drives 300 miles at 60 mph, then another 200 miles at 80 mph, with a 30-minute break. How long does the trip take?

• A. 5.5 hours
• B. 7 hours
• C. 6 hours
• D. 4.5 hours

Correct answer: C

Rationale: To find the total time, we calculate the time taken for each segment: 300 miles at 60 mph = 300 miles ÷ 60 mph = 5 hours; 200 miles at 80 mph = 200 miles ÷ 80 mph = 2.5 hours. Adding these gives 5 hours + 2.5 hours = 7.5 hours. Converting the 30-minute break to hours (30 minutes ÷ 60 = 0.5 hours), the total time taken is 7.5 hours + 0.5 hours = 8 hours. Therefore, the correct answer is not among the given choices. The rationale provided in the original question is incorrect as it does not account for the break time and has a calculation error in adding the individual times.

4. If 35% of a paycheck is deducted for taxes and 4% for insurance, what is the total percent taken out of the paycheck?

• A. 20%
• B. 31%
• C. 39%
• D. 42%

Correct answer: C

Rationale: When 35% is deducted for taxes and 4% for insurance, the total percentage taken out of the paycheck is 35% + 4% = 39%. Therefore, the correct answer is 39%, which corresponds to option C. Option A (20%) is incorrect because it does not account for the total deductions. Option B (31%) is incorrect as it does not sum up the percentages correctly. Option D (42%) is incorrect as it overestimates the total deductions.

5. How do you find the factors of a number?

• A. Divide the number by all possible numbers
• B. Find all pairs of numbers that multiply to give the number
• C. List all the multiples of the number
• D. Add the digits of the number together

Correct answer: B

Rationale: The correct way to find the factors of a number is to identify all pairs of numbers that, when multiplied together, result in the given number. This method allows you to determine all the factors of the number. Choice A is incorrect because dividing the number by all possible numbers is not an efficient way to find its factors. Choice C is incorrect as listing all the multiples of the number does not give the factors. Choice D is unrelated to finding factors as adding the digits of a number together does not provide information about its factors.

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