Nursing Elites

1. What is the least common denominator for the fractions below? 1/2, 2/3, 4/5

• A. 30
• B. 25
• C. 7
• D. 19

Correct answer: A

Rationale: To find the least common denominator for fractions 1/2, 2/3, and 4/5, we need to identify the least common multiple of the denominators. The denominators are 2, 3, and 5. The least common multiple of 2, 3, and 5 is 30. Therefore, 30 is the least common denominator for these fractions. Choice B (25), C (7), and D (19) are incorrect because they are not the least common multiple of the denominators of the given fractions.

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. A set of patients is divided into groups: 1/2 in Group Alpha, 1/3 in Group Beta, and 1/6 in Group Gamma. Order the groups from smallest to largest.

• A. Alpha, Beta, Gamma
• B. Alpha, Gamma, Beta
• C. Gamma, Alpha, Beta
• D. Gamma, Beta, Alpha

Correct answer: C

Rationale: To determine the order from smallest to largest groups, we look at the fractions representing the groups. Group Gamma has 1/6, which is the smallest fraction, followed by Group Alpha with 1/2, and Group Beta with 1/3 being the largest fraction. So, the correct order is Gamma, Alpha, Beta. Choice A is incorrect because it lists Alpha, Beta, Gamma, which is the reverse order. Choice B is incorrect as it lists Alpha, Gamma, Beta, which is also incorrect. Choice D is incorrect as it lists Gamma, Beta, Alpha, which is not the correct order based on the fractions provided.

4. University Q has an extremely competitive nursing program. Historically, 3/4 of the students in each incoming class major in nursing, but only 1/3 of those who major in nursing actually complete the program. If this year’s incoming class has 100 students, how many students will complete the nursing program?

• A. 75
• B. 20
• C. 25
• D. 5

Correct answer: C

Rationale: Out of 100 students, 3/4 major in nursing, which is 75 students (100 * 3/4 = 75). Among these 75 students, only 1/3 will complete the program. Therefore, 1/3 of 75 is 25. Hence, 25 students will complete the nursing program. Choice A (75) is incorrect because this represents the number of students majoring in nursing, not completing the program. Choices B (20) and D (5) are incorrect as they do not align with the calculation based on the given fractions and total number of students.

5. What is the probability of consecutively pulling two more orange blocks, without replacement, from a bag containing 3 orange blocks, 5 green blocks, and 4 purple blocks?

• A. 3/12
• B. 3/55
• C. 2/10
• D. 1/3

Correct answer: B

Rationale: To calculate the probability of consecutively pulling two more orange blocks without replacement, we first determine the probability of pulling an orange block on the first draw, which is 3/12 (3 orange blocks out of 12 total blocks). After removing one orange block, there are only 11 blocks left, so the probability of pulling another orange block on the second draw is 2/11. To find the combined probability, we multiply the probabilities together: (3/12) * (2/11) = 6/132 = 3/55. Therefore, the correct answer is B. Choice A (3/12) incorrectly simplifies the probability before calculating the second draw. Choice C (2/10) does not consider the specific number of orange blocks in the bag. Choice D (1/3) does not account for the reduced number of blocks after the first draw.

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