Nursing Elites

1. University X requires some of its nursing students to take an exam before being admitted into the nursing program. In this year's class, the nursing students were required to take the exam, and all of those who took the exam passed. If this year's class has 200 students, how many students passed the exam?

• A. 120
• B. 100
• C. 60
• D. 50

Correct answer: B

Rationale: Since all nursing students who took the exam passed, it means 100% of the students who took the exam passed. As the total number of students in this year's class is 200, the number of students who passed the exam would be 100% of 200, equaling 200 * 100% = 200. Therefore, 200 students passed the exam.

2. 3(x-2)=12. Solve the equation above for x. Which of the following is the correct answer?

• A. 6
• B. -2
• C. -4
• D. 2

Correct answer: A

Rationale: To solve the equation 3(x-2)=12, first distribute the 3: 3x - 6 = 12. Next, isolate x by adding 6 to both sides: 3x = 18. Finally, divide by 3 to find x: x = 6. Therefore, the correct answer is A (6). Choice B (-2) is incorrect as it does not satisfy the equation. Choice C (-4) is also incorrect as it does not satisfy the equation. Choice D (2) is incorrect as it does not satisfy the equation either.

3. Simplify the following expression:

• A. 1 9/16
• B. 1 1/4
• C. 2 1/8
• D. 2

Correct answer: A

Rationale: To simplify the given expression, start by performing the division first: (2/3) ÷ (4/15) = (2/3) × (15/4) = 30/12 = 5/2. Next, multiply this result by 5/8: 5/2 × 5/8 = 25/16 = 1 9/16. Therefore, the correct answer is A. Choice B (1 1/4) is incorrect as it does not match the simplified result. Choice C (2 1/8) is incorrect as it does not represent the simplified expression. Choice D (2) is incorrect as it does not account for the fractions in the original expression.

4. Simplify the following expression: 5 x 3 ÷ 9 x 4

• A. 5/12
• B. 8/13
• C. 20/27
• D. 47/36

Correct answer: A

Rationale: To simplify the expression 5 x 3 ÷ 9 x 4, first perform the multiplications and divisions from left to right: 5 x 3 = 15 and 9 x 4 = 36. So, the expression becomes 15 ÷ 36. When dividing fractions, multiply the first fraction by the reciprocal of the second fraction. Hence, 15 ÷ 36 = 15/36. To simplify the fraction further, find the greatest common divisor, which is 3. Divide both the numerator and denominator by 3 to get the final result: 15/36 = 5/12. Therefore, the correct answer is A. Choices B, C, and D are incorrect because they do not represent the correct simplification of the given expression.

5. What percentage of the total rainfall in this timeframe occurs during October?

• A. 0.135
• B. 0.151
• C. 0.169
• D. 0.177

Correct answer: B

Rationale: To calculate the percentage of rainfall that occurs during October, divide October's rainfall (4.5 inches) by the total rainfall (29.38 inches) and multiply by 100. So, (4.5 / 29.38) * 100 = 15.31%. Among the choices given, option B, 0.151, is the closest to this calculated percentage. Options A, C, and D are not correct as they do not match the accurate calculation based on the provided data.

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