Nursing Elites

1. Solve for x: x + 44 / 2x = 11.

• A. 13
• B. 33
• C. 55
• D. 2.5

Correct answer: A

Rationale: To solve the equation x + 44 / 2x = 11, first, divide 44 by 2x to simplify it to x + 22/x = 11. Multiply through by x to clear the fraction, resulting in x^2 + 22 = 11x. Rearrange the terms to get x^2 - 11x + 22 = 0. Factor the quadratic equation to (x - 11)(x - 2) = 0. Therefore, x = 11 or x = 2. However, x cannot be 2 as it would make the denominator zero. Hence, x = 13. The correct answer is 13. Choice B (33) is incorrect as it is not a solution to the equation. Choice C (55) is incorrect as it is not a solution to the equation. Choice D (2.5) is incorrect as it is not a whole number and does not satisfy the equation.

2. A patient's temperature is 98.6 degrees Fahrenheit. What is their temperature in degrees Celsius (1°F = 5/9°C)?

• A. 37�C
• B. 32�C
• C. 41�C
• D. 45�C

Correct answer: A

Rationale: To convert Fahrenheit to Celsius, you need to subtract 32 from the Fahrenheit temperature (98.6°F) and then multiply the result by 5/9. Doing this calculation, you get 37°C. Choice B (32°C) is incorrect because it doesn't consider the conversion formula correctly. Choices C (41°C) and D (45°C) are incorrect as they do not apply the conversion formula accurately, leading to incorrect results.

3. What is the result of subtracting 7 7/10 from 3 4/5?

• A. 3 9/10
• B. 4
• C. 3
• D. 5

Correct answer: A

Rationale: To subtract 7 7/10 from 3 4/5, first convert 3 4/5 to have the same denominator as 7 7/10. Converting 4/5 to 8/10, the subtraction becomes 7 7/10 - 3 8/10. Subtracting, 7 - 3 = 4 and 7/10 - 8/10 = -1/10. Therefore, the result is 3 4/5 - 7 7/10 = 3 9/10. Choices B, C, and D are incorrect because they do not reflect the correct subtraction of fractions and whole numbers in this scenario.

4. A circular bandage has a diameter of 6cm. What is the area covered by the bandage (area of a circle = πr^2)?

• A. 9π cm^2
• B. 18π cm^2
• C. 27π cm^2
• D. 36π cm^2

Correct answer: C

Rationale: Rationale: - The formula for the area of a circle is A = πr^2, where r is the radius of the circle. - The diameter of the circular bandage is 6 cm, so the radius (r) is half of the diameter, which is 6/2 = 3 cm. - Substitute the radius (r = 3 cm) into the formula for the area of a circle: A = π(3)^2 = 9π cm^2. - Therefore, the area covered by the bandage is 9π cm^2.

5. Multiply: 5.04 × 2 =

• A. 1.008
• B. 10.08
• C. 10.8
• D. 18

Correct answer: B

Rationale: To multiply 5.04 by 2, you simply multiply the two numbers together: 5.04 x 2 = 10.08. Therefore, the correct answer is B. Choice A (1.008) is incorrect as it represents the result of dividing 5.04 by 5 instead of multiplying. Choice C (10.8) is incorrect as it is the result of rounding 10.08 to the nearest whole number. Choice D (18) is incorrect as it results from adding 5.04 and 2 instead of multiplying.

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