Nursing Elites

1. What is the product of two irrational numbers?

• A. Irrational
• B. Rational
• C. Irrational or rational
• D. Complex and imaginary

Correct answer: C

Rationale: The correct answer is C: 'Irrational or rational.' When you multiply two irrational numbers, the result can be either irrational or rational. For example, multiplying the square root of 2 (√2) by itself results in the rational number 2. This shows that the product of two irrational numbers can lead to a rational result. Choices A, B, and D are incorrect because the product of two irrational numbers is not limited to being irrational; it can also be rational.

2. What is the best estimate in meters for the average width of a doorway?

• A. 0.5
• B. 1
• C. 10
• D. 3

Correct answer: B

Rationale: The correct answer is B: 1. The average width of a doorway typically ranges from 0.8 to 1.2 meters, making 1 meter a reasonable estimate. Choice A (0.5) is too narrow for a standard doorway. Choice C (10) is too wide for a typical doorway. Choice D (3) is also wider than the standard width of a doorway.

3. The value of 6 x 12 is the same as:

• A. 2 x 4 x 4 x 2
• B. 7 x 4 x 3
• C. 6 x 6 x 3
• D. 3 x 3 x 4 x 2

Correct answer: A

Rationale: To find the value of 6 x 12, we multiply 6 by 12, which equals 72. A: 2 x 4 x 4 x 2 = 32 B: 7 x 4 x 3 = 84 C: 6 x 6 x 3 = 108 D: 3 x 3 x 4 x 2 = 72 Therefore, the correct answer is A, as the product of 2 x 4 x 4 x 2 equals 32, which is the same as 6 x 12.

4. Simplify the expression: 2x + 3x - 5.

• A. 5x - 5
• B. 5x
• C. x - 5
• D. 2x - 5

Correct answer: A

Rationale: To simplify the expression 2𝑥 + 3𝑥 - 5, follow these steps: Identify and combine like terms. The terms 2𝑥 and 3𝑥 are both 'like terms' because they both contain the variable 𝑥. Add the coefficients of the like terms: 2𝑥 + 3𝑥 = 5𝑥. Simplify the expression. After combining the like terms, the expression becomes 5𝑥 - 5, which includes the simplified term 5𝑥 and the constant -5. Thus, the fully simplified expression is 5𝑥 - 5, making Option A the correct answer. This method ensures all terms are correctly simplified by combining similar elements and retaining constants.

5. A leather recliner is on sale for 30% less than its original price. A consumer has a coupon that saves an additional 25% off of the sale price. If the consumer pays $237 for the recliner, what is the original price of the recliner to the nearest dollar?

• A. $316
• B. $431
• C. $451
• D. $527

Correct answer: D

Rationale: To find the original price of the recliner, you need to reverse calculate. Let x be the original price. The sale price is 70% of the original price, and after the additional 25% coupon discount, the consumer pays $237. Setting up the equation: x × 0.70 × 0.75 = 237. Solving this equation, x ≈ $527. Therefore, the original price of the recliner was approximately $527. Choices A, B, and C are incorrect as they do not align with the correct calculation based on the given discounts.

Similar Questions