Nursing Elites

1. On a highway map, the scale indicates that 1 inch represents 45 miles. If the distance on the map is 3.2 inches, how far is the actual distance in miles?

• A. 144 miles
• B. 160 miles
• C. 180 miles
• D. 200 miles

Correct answer: A

Rationale: To find the actual distance in miles, you need to set up a proportion using the scale provided (1 inch = 45 miles). Since the distance on the map is 3.2 inches, you can set up the proportion: 1 inch / 45 miles = 3.2 inches / x miles. Cross-multiply to solve for x: 1 * x = 45 * 3.2, x = 144. Therefore, the actual distance in miles is 144. Choices B, C, and D are incorrect because they do not accurately calculate the actual distance using the scale provided.

2. Joshua is taking a test with 30 questions. To qualify for an academic scholarship, he needs to answer at least 80% of the questions correctly. What is the minimum number of questions Joshua must answer correctly to qualify for the scholarship?

• A. 23
• B. 24
• C. 26
• D. 27

Correct answer: B

Rationale: To qualify for an academic scholarship, Joshua needs to answer at least 80% of the 30 test questions correctly. 80% of 30 is 24, so Joshua must answer at least 24 questions correctly to qualify for the scholarship. Choice A (23) is incorrect as it is below the minimum required percentage. Choices C (26) and D (27) are also incorrect as they exceed the minimum number of questions Joshua needs to answer correctly for the scholarship.

3. In the problem 6 + 3 × 2, which operation should be completed first?

• A. Multiplication
• B. Addition
• C. Division
• D. Subtraction

Correct answer: A

Rationale: The correct answer is 'Multiplication.' According to the order of operations (PEMDAS), which stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), multiplication should be completed first. In the given expression, 3 × 2 should be solved before adding 6 to the result. This means that the multiplication operation should be prioritized over addition. Choices B, C, and D are incorrect because, in the order of operations, multiplication takes precedence over addition, division, and subtraction, respectively.

4. Solve |x| = 10.

• A. -10, 10
• B. -11, 11
• C. -12, 12
• D. -13, 13

Correct answer: A

Rationale: The absolute value of x is equal to 10 when x is either -10 or 10. Therefore, the correct answer is A. Choices B, C, and D are incorrect because they do not satisfy the equation |x| = 10. For choice B, -11 and 11 do not satisfy the condition. Choices C and D also do not provide solutions that meet the equation's requirement.

5. Which of the following lists is in order from least to greatest? (1/7), 0.125, (6/9), 0.60

• A. (1/7), 0.125, (6/9), 0.60
• B. (1/7), 0.125, 0.60, (6/9)
• C. 0.125, (1/7), 0.60, 6/9
• D. 0.125, (1/7), (6/9), 0.60

Correct answer: C

Rationale: To determine the order from least to greatest, convert all fractions to decimals and compare them. Converting the fractions: (1/7) ≈ 0.14, (6/9) ≈ 0.67. The decimals in order from least to greatest are: 0.125 < 0.14 < 0.60 < 0.67. Therefore, the correct order is 0.125, (1/7), 0.60, 6/9, making choice C the correct answer. Choice A is incorrect as it lists (1/7) before 0.125. Choice B is incorrect as it places 0.60 before (6/9). Choice D is incorrect as it lists (6/9) before 0.60.

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