Nursing Elites

1. Divide and simplify: 4⅛ ÷ 1½ =

• A. 4½
• B. 4¼
• C. 2¾
• D. 2¼

Correct answer: C

Rationale: To divide mixed numbers, we first convert them to improper fractions. Converting 4⅛ to an improper fraction gives us 33/8, and converting 1½ gives us 3/2. Dividing 33/8 by 3/2, we multiply the first fraction by the reciprocal of the second. This gives us (33/8) / (3/2) = (33/8) * (2/3) = 66/24 = 11/4, which simplifies to 2¾. Therefore, the correct answer is 2¾. Choices A, B, and D are incorrect as they do not represent the correct result of dividing 4⅛ by 1½.

2. Solve for y if y = 3: 4y + 21/y

• A. 19
• B. 7.7
• C. 23/3
• D. 11

Correct answer: A

Rationale: To solve the expression 4y + 21/y when y = 3, substitute y = 3: 4 * 3 + 21 / 3 = 12 + 7 = 19. Therefore, the correct answer is 19. Choice A, '19,' is the correct result of the expression when y = 3. Choice B, '7.7,' is incorrect as the correct answer is an integer, not a decimal. Choice C, '23/3,' is incorrect as it is not the simplified integer result of the expression. Choice D, '11,' is incorrect as it does not result from the given expression when y = 3.

3. Solve for x: 120:x::40:0.5.

• A. 1.5
• B. 60
• C. 0.167
• D. 16

Correct answer: A

Rationale: To solve the proportion 120:x::40:0.5, cross-multiply to get 120 * 0.5 = 40 * x. This simplifies to 60 = 40x. Dividing both sides by 40 gives x = 1.5. Therefore, the correct answer is A. Choice B (60) is incorrect because x is not equal to 60. Choice C (0.167) is incorrect as it does not result from solving the proportion. Choice D (16) is also incorrect because x is not equal to 16.

4. What is the sum of the digits of the number 72?

• A. 6
• B. 5
• C. 9
• D. 7

Correct answer: C

Rationale: To find the sum of the digits of the number 72, you simply add the individual digits together: 7 + 2 = 9. Therefore, the sum of the digits is 9. Choice A (6), Choice B (5), and Choice D (7) are incorrect as they do not correctly sum up the individual digits of the number 72.

5. The individual is completing their time sheet. They worked 8 ½ hours on Monday, 8 hours on Tuesday, 6 ¾ hours on Wednesday, and 9 hours each on the last two days of the week. If their hourly pay rate is $15.65, how much would their gross pay be for that week?

• A. $645.56
• B. $600.50
• C. $700.25
• D. $650.00

Correct answer: A

Rationale: To calculate the total hours worked, add 8.5 + 8 + 6.75 + 9 + 9, which equals 41.25 hours. To determine the gross pay, multiply the total hours worked (41.25) by the hourly rate ($15.65): 41.25 * $15.65 = $645.56. This precise calculation ensures accurate compensation for the hours worked, emphasizing the importance of financial accuracy in payroll management. Choice B, C, and D are incorrect as they do not result from the accurate calculation of total hours worked multiplied by the hourly rate, providing a good illustration of the consequences of miscalculations in payroll processing.

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