Nursing Elites

1. Which of the following algebraic equations correctly represents the sentence 'Four more than a number, x, is 2 less than 1/3 of another number, y'?

• A. x + 4 = (1/3)y - 2
• B. 4x = 2 - (1/3)y
• C. 4 - x = 2 + (1/3)y
• D. x + 4 = 2 - (1/3)y

Correct answer: A

Rationale: To represent 'Four more than a number, x', we write x + 4. This is equal to '2 less than 1/3 of another number, y', which translates to 1/3y - 2. Therefore, the correct equation is x + 4 = (1/3)y - 2. Choice B is incorrect as it incorrectly combines the values of x and y. Choice C is incorrect as it doesn't properly relate x and y with the given conditions. Choice D is incorrect as it doesn't correctly represent the relationship between x and y according to the given statement.

2. 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.

3. 4 − 1/(22) + 24 ÷ (8 + 12). Simplify the expression. Which of the following is correct?

• A. 1.39
• B. 2.74
• C. 4.95
• D. 15.28

Correct answer: C

Rationale: First, complete the operations in parentheses: 4 − (1/22) + 24 ÷ 20. Next, simplify the exponents: 4 − (1/22) + 24 ÷ 20 = 4 − (1/4) + 24 ÷ 20. Then, complete multiplication and division operations: 4 − (1/4) + 24 ÷ 20 = 4 − 0.25 + 1.2. Finally, complete addition and subtraction operations: 4 − 0.25 + 1.2 = 4.95. Choice A, 1.39, is incorrect as it does not match the correct calculation. Choice B, 2.74, is incorrect as it is not the result of the given expression. Choice D, 15.28, is incorrect as it is not the correct simplification of the initial expression.

4. Chan receives a bonus from his job. He pays 30% in taxes, donates 30% to charity, and uses another 25% to pay off an old debt. He has $600 remaining. What was the total amount of Chan's bonus?

• A. $3,000
• B. $3,200
• C. $3,600
• D. $4,000

Correct answer: D

Rationale: Chan has used 30% + 30% + 25% = 85% of his bonus, which leaves 15% remaining. Since 15% of his bonus is $600, you can find the total bonus amount by dividing $600 by 15% (or multiplying by 100/15), which equals $4,000. Therefore, the correct answer is $4,000. The other choices are incorrect because they do not accurately represent the total remaining amount after the specified deductions.

5. Four people split a bill. The first person pays 1/5, the second person pays 1/3, and the third person pays 1/12. What fraction of the bill does the fourth person pay?

• A. 1/4
• B. 13/60
• C. 47/60
• D. 1/4

Correct answer: C

Rationale: To find the fourth person's share, subtract the fractions paid by the first three people from the total bill (1). The first person pays 1/5, the second person pays 1/3, and the third person pays 1/12. Adding these fractions gives 7/15. Subtracting this from 1 gives the fourth person's share as 8/15, which simplifies to 4/5. Therefore, the fourth person pays 4/5 of the bill. Option A (1/4) is incorrect because it does not consider the fractions paid by the first three people. Option B (13/60) is incorrect as it is not the remainder after subtracting the first three fractions from 1. Option D (1/4) is a duplicate of Option A and is also incorrect.

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