Nursing Elites

1. What is the surface area of the cylinder shown below?

• A. 602.9 cm²
• B. 904.3 cm²
• C. 1,408.7 cm²
• D. 1,507.2 cm²

Correct answer: D

Rationale: The surface area of a cylinder can be calculated using the formula: S = 2πr² + 2πrh, where r is the radius and h is the height. Substituting the values for radius (12) and height (8) into the formula: S = 2π(12)² + 2π(12)(8). S = 2π(144) + 2π(96). S = 288π + 192π. S = 480π ≈ 1507.964. Therefore, the surface area of the cylinder is approximately 1507.2 square centimeters. Choice A, 602.9 cm², is incorrect as it is significantly lower than the correct value. Choice B, 904.3 cm², is also incorrect as it does not match the calculated surface area. Choice C, 1,408.7 cm², is incorrect as it does not align with the calculated value of the surface area.

2. What is the value of the sum of 0.75 and 0.625?

• A. 0.875
• B. 1.375
• C. 1.625
• D. 0.125

Correct answer: B

Rationale: Adding 0.75 and 0.625 gives: 0.75+0.625=1.375.

3. As part of a study, a set of patients will be divided into three groups: 1/2 of the patients will be in Group Alpha, 1/3 of the patients will be in Group Beta, and 1/6 of the patients will be in Group Gamma. Order the groups from smallest to largest, according to the number of patients in each group.

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

Correct answer: C

Rationale: The correct order from smallest to largest number of patients in each group is Group Gamma (1/6), Group Alpha (1/2), and Group Beta (1/3). Group Gamma has the smallest fraction of patients, followed by Group Alpha and then Group Beta. Therefore, choice C, 'Group Gamma, Group Alpha, Group Beta,' is the correct answer. Choices A, B, and D are incorrect because they do not follow the correct order based on the fractions of patients assigned to each group.

4. After taxes, a worker earned $15,036 in 7 months. What is the amount the worker earned in 2 months?

• A. $2,148
• B. $4,296
• C. $6,444
• D. $8,592

Correct answer: B

Rationale: To find the amount earned in 2 months, set up a proportion using two ratios relating amount earned to months: (15,036/7) = (x /2). Cross-multiply and solve for x: 7x = 30,072, x = 4,296. Therefore, the worker earned $4,296 in 2 months. Choice A, $2,148, is incorrect as it is half of the correct answer. Choices C and D, $6,444 and $8,592, are incorrect as they do not correspond to the calculated proportion.

5. A recipe calls for 0.375 cups of sugar, but you only want to make 0.625 of the recipe. How much sugar should you use?

• A. 1.125 cups
• B. 1.111 cups
• C. 0.6 cups
• D. 2.4 cups

Correct answer: C

Rationale: To find out how much sugar should be used when making 0.625 of the recipe, you need to multiply 0.375 (amount required for the full recipe) by 0.625 (proportion of the recipe you want to make). 0.375 * 0.625 = 0.234375. Therefore, you should use 0.234375 cups of sugar, which is equivalent to 0.6 cups. This is the correct answer. Choices A, B, and D are incorrect because they do not correctly calculate the adjusted amount of sugar needed based on the proportion of the recipe being made.

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