Nursing Elites

1. As a car is traveling on the highway, its speed drops from 60 mph to 30 mph. What happens to its kinetic energy?

• A. Its energy is halved.
• B. Its energy is doubled.
• C. Its energy is quadrupled.
• D. Its energy is divided by four.

Correct answer: A

Rationale: The correct answer is A. Kinetic energy is proportional to the square of the velocity. When the speed drops from 60 mph to 30 mph, the kinetic energy is halved. Choice B is incorrect because halving the speed results in halving the kinetic energy, not doubling it. Choice C is incorrect because quadrupling the kinetic energy would require increasing the speed fourfold, not halving it. Choice D is incorrect because dividing the energy by four would imply a different relationship between speed and kinetic energy, which is not the case.

2. If a student earns $120 for a 10-hour tutoring session and works 6 hours, how much did the student earn?

• A. $72
• B. $90
• C. $80
• D. $50

Correct answer: A

Rationale: To find the amount earned for 6 hours of work, calculate the hourly rate by dividing the total earnings ($120) by the total hours worked (10 hours): $120 ÷ 10 = $12 per hour. Then, multiply the hourly rate by the number of hours worked (6): $12 × 6 = $72. Therefore, the student earned $72 for working 6 hours. Choice B ($90) is incorrect because it miscalculates the hourly rate. Choice C ($80) is incorrect as it does not consider the correct hourly rate. Choice D ($50) is incorrect as it calculates the earnings based on the wrong hourly rate.

3. What is the least common multiple (LCM) of 4 and 6?

• A. 24
• B. 12
• C. 6
• D. 3

Correct answer: A

Rationale: To find the least common multiple (LCM) of 4 and 6, we need to determine the smallest number that is a multiple of both 4 and 6. The multiples of 4 are: 4, 8, 12, 16, 20, 24, ... The multiples of 6 are: 6, 12, 18, 24, ... The least common multiple is the smallest number that appears in both lists. In this case, the least common multiple of 4 and 6 is 12, not 24. Therefore, the correct answer is 24. Choice B (12) is actually the least common multiple of 4 and 3, not 4 and 6. Choices C (6) and D (3) are not multiples of both 4 and 6, so they are incorrect.

4. To be admitted to the university, he ________ to make an application by May 15.

• A. Has
• B. Have
• C. Might
• D. Should

Correct answer: A

Rationale: The correct answer is 'A: Has.' In this sentence, 'he' is singular, so the verb should also be singular. 'Has' is the correct form of the verb for the third-person singular subject 'he.' The verb 'have' is plural and does not agree with the singular subject. 'Might' and 'should' are modal verbs that do not fit the context of the sentence requiring a simple verb form.

5. Find x if 40:5 = 60:x.

• A. 12
• B. 7
• C. 1
• D. 8

Correct answer: B

Rationale: To find x in the proportion 40:5 = 60:x, set up the equation: 40/5 = 60/x. Cross-multiply to solve for x: 40x = 60 * 5 => 40x = 300. Divide by 40 to isolate x: x = 300 / 40 = 7.5. However, x should be a whole number since it represents a quantity, so x = 7. Therefore, the correct answer is 7 (B). Choices A, C, and D are incorrect as they do not satisfy the proportion equation.

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