Nursing Elites

1. What is (12/15) ÷ (3/5) = ?

• A. 1 1/3
• B. 1 2/3
• C. 2 1/3
• D. 1

Correct answer: A

Rationale: To divide fractions, you multiply by the reciprocal of the divisor. (12/15) ÷ (3/5) is the same as (12/15) * (5/3). Cancel out common factors to simplify: 12 ÷ 3 = 4, 15 ÷ 5 = 3. So, the expression simplifies to 4/3, which is 1 1/3 in mixed number form. Choice A, 1 1/3, is the correct answer. Choices B, C, and D are incorrect because they do not represent the simplified form of the division of the given fractions.

2. 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.

3. In a local baseball team, 4 players, which represent 5% of the team, have long hair, and the rest have short hair. How many short-haired players are there on the team?

• A. 72
• B. 74
• C. 76
• D. 78

Correct answer: C

Rationale: Given that 4 players represent 5% of the team, let's denote the total number of players as x. The equation to represent this situation is 0.05x = 4. Solving for x, we get x = 80, which is the total number of players on the team. Since 4 players have long hair, the remaining players have short hair, which is 80 - 4 = 76. Therefore, there are 76 short-haired players on the team. Choices A, B, and D are incorrect as they do not consider the total number of players correctly, leading to inaccurate calculations.

4. What is 35% of 70?

• A. 17.5
• B. 24.5
• C. 35
• D. 50

Correct answer: B

Rationale: To find 35% of a number, you multiply the number by 0.35. In this case, 35% of 70 is calculated as 70 x 0.35 = 24.5. Choice A (17.5) is incorrect because it represents 25% of 70. Choice C (35) is incorrect as it is the percentage itself, not the result of the calculation. Choice D (50) is incorrect as it does not represent the result of finding 35% of 70.

5. A medication order is written as 3/4 of a tablet. If each tablet is 500mg, what is the equivalent dosage in milligrams?

• A. 375mg
• B. 425mg
• C. 450mg
• D. 475mg

Correct answer: B

Rationale: Rationale: - Each tablet is 500mg. - The medication order is for 3/4 of a tablet. - To find the equivalent dosage in milligrams, we need to calculate 3/4 of 500mg. - 3/4 of 500mg = (3/4) * 500mg = 0.75 * 500mg = 375mg. - Therefore, the equivalent dosage in milligrams is 375mg.

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