Nursing Elites

1. Simplify (x^2 - y^2) / (x - y)

• A. x + y
• B. x - y
• C. 1
• D. (x + y)/(x - y)

Correct answer: A

Rationale: The expression 𝑥^2 - 𝑦^2 is a difference of squares, which follows the identity: 𝑥^2 - 𝑦^2 = (𝑥 + 𝑦)(𝑥 - 𝑦). Therefore, the given expression becomes: (𝑥^2 - 𝑦^2) / (𝑥 - 𝑦) = (𝑥 + 𝑦)(𝑥 - 𝑦) / (𝑥 - 𝑦). Since (𝑥 - 𝑦) appears in both the numerator and the denominator, they cancel each other out, leaving 𝑥 + 𝑦. Thus, the simplified form of (𝑥^2 - 𝑦^2) / (𝑥 - 𝑦) is 𝑥 + 𝑦. Therefore, the correct answer is A (x + y). Option B (x - y) is incorrect as it does not result from simplifying the given expression. Option C (1) is incorrect as it does not account for the variables x and y present in the expression. Option D ((x + y)/(x - y)) is incorrect as it presents the simplified form in a different format than the correct answer.

2. Which of the following transitional words or phrases can be used to indicate contrast? (Select all that apply.)

• A. Regardless
• B. Furthermore
• C. On the other hand
• D. Moreover

Correct answer: A, C

Rationale: The correct transitional words or phrases that indicate contrast are 'Regardless' and 'On the other hand.' 'Regardless' introduces a contrasting idea, while 'On the other hand' explicitly signals a shift in perspective or introduces an opposing viewpoint. 'Furthermore' and 'Moreover' are not used to indicate contrast; instead, they are used to add more information or support to a related point.

3. The total perimeter of a rectangle is 36 cm. If the length of each side is 12 cm, what is the width?

• A. 3 cm
• B. 12 cm
• C. 6 cm
• D. 8 cm

Correct answer: C

Rationale: The formula for the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width. Given that the total perimeter is 36 cm and each side's length is 12 cm, we substitute the values into the formula: 36 = 2(12 + w). Solving for w gives us w = 6. Therefore, the width of the rectangle is 6 cm. Choice A (3 cm) is incorrect because the width is not half of the length. Choice B (12 cm) is the length, not the width. Choice D (8 cm) is incorrect as it does not match the calculated width of 6 cm.

4. How many chromosomes must a normal human sperm cell contain?

• A. An X chromosome.
• B. A Y chromosome.
• C. 23 chromosomes.
• D. Both an X and Y chromosome.

Correct answer: C

Rationale: A normal human sperm cell contains a total of 23 chromosomes, half the number found in a typical human cell which has 46 chromosomes. This includes 22 autosomes and one sex chromosome, which can be either an X or a Y chromosome. Therefore, the correct answer is that a normal human sperm cell must contain 23 chromosomes. Choices A and B are incorrect because a single sex chromosome alone does not represent the total number of chromosomes in a sperm cell. Choice D is incorrect because a sperm cell carries only one sex chromosome, either X or Y, not both.

5. What is the name of the condition characterized by inflammation of the small intestine?

• A. Appendicitis
• B. Celiac disease
• C. Gastritis
• D. Crohn's disease

Correct answer: D

Rationale: A) Appendicitis is inflammation of the appendix, not the small intestine. B) Celiac disease is an autoimmune disorder triggered by gluten consumption that damages the small intestine, but it is not characterized by inflammation alone. C) Gastritis is inflammation of the stomach lining, not the small intestine. D) Crohn's disease is a chronic inflammatory condition that can affect any part of the gastrointestinal tract, but it commonly involves the small intestine. Symptoms of Crohn's disease include abdominal pain, diarrhea, weight loss, and fatigue.

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