Nursing Elites

1. Which of the following is the greatest value?

• A. 43 ÷ 55
• B. 7 ÷ 5
• C. 0.729
• D. 73%

Correct answer: B

Rationale: To determine the greatest value among the choices, you need to convert all options to a common format. In this case, converting fractions to decimals will help compare them. When 7 ÷ 5 is calculated, it equals 1.4, which is greater than 0.729 (choice C) and 0.78 (choice A when rounded). The percentage 73% (choice D) is equivalent to 0.73, making 7 ÷ 5 the largest value. Therefore, the correct answer is B. Choice A is smaller than B, as 43 ÷ 55 equals approximately 0.78. Choice C is smaller than B, as 0.729 is less than 1.4. Choice D is smaller than B, as 73% is equal to 0.73, which is less than 1.4.

2. Which of the following is not a negative value?

• A. (−3)(−1)(2)(−1)
• B. 14 – 7 + (−7)
• C. 7 – 10 + (−8)
• D. −5(−2)(−3)

Correct answer: B

Rationale: To identify the negative value, simplify each expression. A) simplifies to 6 which is positive. B) simplifies to 0 which is neither positive nor negative. C) simplifies to -11 which is negative. D) simplifies to -30 which is negative. Therefore, only choice B results in a non-negative value, making it the correct answer.

3. At the beginning of the day, Xavier has 20 apples. At lunch, he meets his sister Emma and gives her half of his apples. After lunch, he stops by his neighbor Jim's house and gives him 6 of his apples. He then uses 3/4 of his remaining apples to make an apple pie for dessert at dinner. At the end of the day, how many apples does Xavier have left?

• A. 4
• B. 6
• C. 2
• D. 1

Correct answer: D

Rationale: Xavier gives away half of his 20 apples (10), then gives 6 more apples, leaving him with 4 apples. He uses 3/4 of the remaining 4 apples (3) for the pie, leaving him with 1 apple at the end of the day. Therefore, the correct answer is 1. Choices A, B, and C are incorrect because they do not accurately reflect the calculations of apples given away and used for the pie, resulting in the remaining amount of 1 apple.

4. How many feet are in a mile?

• A. 1,000 ft
• B. 5,280 ft
• C. 2,000 ft
• D. 10,000 ft

Correct answer: B

Rationale: The correct answer is B: 5,280 feet in a mile. This is a standard conversion used in the Imperial system of measurement. Choice A, 1,000 ft, is incorrect as it is a common misconception and not the accurate conversion. Choice C, 2,000 ft, is also incorrect. Choice D, 10,000 ft, is significantly higher than the actual conversion and is incorrect. Remember, when converting miles to feet, the accurate value is 5,280 feet in a mile.

5. What is the simplified form of the expression (x^2 + 2x)/(x)?

• A. x + 2
• B. x^2 + 2
• C. x(x + 2)
• D. 1 + 2/x

Correct answer: A

Rationale: To simplify the expression (x^2 + 2x)/(x), we factor out x from the numerator to get x(x + 2) and then cancel the x in the denominator. This simplifies to x + 2, making choice A the correct answer. Choice B (x^2 + 2) is incorrect as it does not account for the division by x. Choice C (x(x + 2)) is also incorrect as it represents the factored form before cancellation. Choice D (1 + 2/x) is incorrect as it does not simplify the expression correctly.

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