Nursing Elites

1. Divide: 5,117 ÷ 31 =

• A. 109 r3
• B. 115 r14
• C. 133 r5
• D. 165 r2

Correct answer: D

Rationale: When dividing 5,117 by 31, the quotient is 165 with a remainder of 2. The correct answer is 165 r2. Choices A, B, and C are incorrect as they do not reflect the correct division result. Choice A is close but has the wrong remainder. Choices B and C have incorrect quotients and remainders, making them inaccurate. Therefore, the correct answer is D, 165 r2.

2. 81:X::9:27. Find X.

• A. 3
• B. 27
• C. 21
• D. 9

Correct answer: B

Rationale: To find X in the given proportion 81:X::9:27, you can set up the equation 81/X = 9/27. Cross-multiplying gives 81 * 27 = 9 * X, which simplifies to 2187 = 9X. Dividing both sides by 9 results in X = 27. Therefore, the correct answer is B. Choice A (3) is incorrect as it does not satisfy the proportion. Choice C (21) is incorrect as it is not the correct value to make the proportion valid. Choice D (9) is incorrect as it does not align with the proportion provided.

3. Which of the following fractions is the largest? 3/8, 3/9, 3/6, 3/7

• A. 3/7
• B. 3/6
• C. 3/9
• D. 3/8

Correct answer: A

Rationale: To determine the largest fraction, it's helpful to convert them to decimals for easier comparison. Converting the fractions to decimals gives: 3/8 = 0.375, 3/9 = 0.333, 3/6 = 0.5, and 3/7 ≈ 0.429. Therefore, 3/7 is the largest fraction among the given options. Choice B, 3/6, is actually equivalent to 3/6 = 0.5 which is greater than 3/7. Choices C and D are smaller fractions compared to 3/7, making them incorrect.

4. What is the result of adding 1/2 + 4/5?

• A. 1 3/10
• B. 1/2/2024
• C. 1 2/5
• D. 1 1/5

Correct answer: A

Rationale: To add fractions, you need a common denominator. In this case, the common denominator is 10. So, 1/2 + 4/5 = 5/10 + 8/10 = 13/10 = 1 3/10. Therefore, the correct answer is A: 1 3/10. Choice B, 1/2/2024, is incorrect as it does not represent the sum of the fractions given. Choice C, 1 2/5, is incorrect as it does not match the sum calculated. Choice D, 1 1/5, is incorrect as it does not reflect the correct sum of the fractions provided.

5. A female ran a 24-mile course. Her first 6 miles took 1 hour, the second set of 6 miles took 1.2 hours, the third set of 6 miles took 1.5 hours, and the fourth set of 6 miles took 1.6 hours. How long did it take her to complete the course?

• A. 5.3 hours
• B. 4.5 hours
• C. 6 hours
• D. 7 hours

Correct answer: A

Rationale: To find the total time taken, add the time for each segment: 1 hour + 1.2 hours + 1.5 hours + 1.6 hours = 5.3 hours. Therefore, it took her 5.3 hours to complete the course. The other choices are incorrect because they do not accurately reflect the cumulative time calculated based on the given information.

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