Nursing Elites

1. Which of the following is NOT a way to write 40 percent of N?

• A. 0.4N
• B. N/40
• C. 2/5 N
• D. 40N/100

Correct answer: B

Rationale: The correct answer is B: N/40. To find 40% of N, you multiply N by 0.4, so 0.4N is the correct representation. Choice B, N/40, is incorrect because dividing N by 40 does not give you 40% of N. Choice C, 2/5 N, is equivalent to 40% of N since 2/5 is the same as 40% when simplified. Choice D, 40N/100, is also correct since 40% can be represented as 40/100, which simplifies to 0.4, making 40N/100 another valid way to write 40% of N.

2. What defines rational and irrational numbers?

• A. Any number that can be expressed as a fraction; any number that cannot be expressed as a fraction
• B. Any number that terminates or repeats; any number that does not terminate or repeat
• C. Any whole number; any decimal
• D. Any terminating decimal; any repeating decimal

Correct answer: A

Rationale: Rational numbers are those that can be written as a simple fraction, including whole numbers and decimals that either terminate or repeat. Irrational numbers, on the other hand, cannot be expressed as fractions. Choice B is incorrect because not all rational numbers necessarily terminate or repeat. Choice C is incorrect as it oversimplifies the concept of rational and irrational numbers by only considering whole numbers and decimals. Choice D is incorrect as it inaccurately defines rational and irrational numbers solely based on decimals terminating or repeating, excluding the broader category of fractions.

3. What is a quotient?

• A. The result of dividing two numbers
• B. The result of multiplying two numbers
• C. The number left after subtraction
• D. The number remaining after a division

Correct answer: A

Rationale: A quotient is the result of dividing one number by another. Choice A is correct because it accurately defines a quotient as the outcome of a division operation. Choice B is incorrect because it describes the result of multiplying two numbers, not dividing them. Choice C is incorrect because it refers to the remainder of a subtraction operation, not a division. Choice D is incorrect because it mentions the number remaining after a division, which is typically referred to as the remainder and not the quotient.

4. Express as an improper fraction: 8 3/7

• A. 11/7
• B. 21/8
• C. 5/3
• D. 59/7

Correct answer: D

Rationale: To convert the mixed number 8 3/7 to an improper fraction, multiply the whole number (8) by the denominator (7) and add the numerator (3) to get the numerator of the improper fraction. This gives us (8*7 + 3) / 7 = 59/7. Therefore, the correct answer is 59/7. Choice A (11/7), choice B (21/8), and choice C (5/3) are incorrect because they do not correctly convert the mixed number to an improper fraction.

5. Simplify the expression. Which of the following is the value of x? (5(4x – 5) = (3/2)(2x – 6))

• A. −(2/7)
• B. −(4/17)
• C. (16/17)
• D. (8/7)

Correct answer: C

Rationale: To solve the given proportion 5(4x – 5) = (3/2)(2x – 6), first distribute to get 20x - 25 = 3x - 9. Then, simplify the linear equation by isolating x: 20x - 3x = 25 - 9, which leads to 17x = 16. Finally, solving for x gives x = 16/17. Choice A is incorrect as it does not match the calculated value of x. Choice B is incorrect as it does not correspond to the correct solution for x. Choice D is incorrect as it does not align with the accurate value of x obtained from solving the equation.

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