Nursing Elites

1. Relatively prime numbers share no common factors other than 1. Which of the following pairs of numbers are relatively prime?

• A. 12 and 16
• B. 15 and 17
• C. 20 and 24
• D. 28 and 36

Correct answer: B

Rationale: Rationale: - Relatively prime numbers are numbers that share no common factors other than 1. - To determine if two numbers are relatively prime, we need to find the greatest common divisor (GCD) of the two numbers. If the GCD is 1, then the numbers are relatively prime. - Let's calculate the GCD for each pair of numbers: A) GCD(12, 16) = 4, not relatively prime B) GCD(15, 17) = 1, relatively prime C) GCD(20, 24) = 4, not relatively prime D) GCD(28, 36) = 4, not relatively prime Therefore, the pair of numbers 15 and 17 are relatively prime because their greatest common divisor is 1, meaning they share no common factors other than 1.

2. Multiply: 6 × 0.06 =

• A. 0.0036
• B. 0.036
• C. 0.36
• D. 3.6

Correct answer: C

Rationale: When multiplying 6 by 0.06, you can treat 0.06 as 6 hundredths. So, 6 × 0.06 is equivalent to 6 × 6 hundredths, which equals 0.36. The correct answer is 0.36. Choice A (0.0036) is incorrect because it represents 6 multiplied by 0.0006, not 0.06. Choice B (0.036) is incorrect as it represents 6 multiplied by 0.06 without considering the position of the decimal point. Choice D (3.6) is incorrect as it represents 6 multiplied by 6, not by 0.06.

3. Out of a total of 50 homes, she sold 11. What percentage of the homes did she sell?

• A. 16%
• B. 18%
• C. 22%
• D. 24%

Correct answer: C

Rationale: To find the percentage of homes she sold, divide the number of homes she sold (11) by the total number of homes (50), then multiply by 100. (11 / 50) * 100 = 22%. Therefore, she sold 22% of the homes. Choice A (16%) is incorrect because it is less than the correct percentage. Choice B (18%) is also less than the correct percentage. Choice D (24%) is greater than the correct percentage of homes she sold.

4. How many meters are in 5 kilometers?

• A. 1000
• B. 5000
• C. 10000
• D. 500

Correct answer: B

Rationale: To convert kilometers to meters, you need to multiply the number of kilometers by 1000 since there are 1000 meters in 1 kilometer. Therefore, 5 kilometers is equal to 5 × 1000 = 5000 meters. Choice A (1000) is incorrect because it represents the number of meters in 1 kilometer, not 5 kilometers. Choice C (10000) is incorrect as it is the result of multiplying 10 (not 5) by 1000. Choice D (500) is incorrect as it represents half the correct conversion value.

5. What is 72 inches converted to feet?

• A. 12 feet
• B. 6 feet
• C. 4 feet
• D. 17 feet

Correct answer: B

Rationale: To convert inches to feet, you divide the number of inches by 12 since there are 12 inches in a foot. Therefore, 72 inches divided by 12 equals 6 feet. The correct answer is 6 feet. Choice A, 12 feet, is incorrect as it is the result if we were converting 144 inches. Choice C, 4 feet, and Choice D, 17 feet, are incorrect conversions and do not correspond to the given measurement of 72 inches.

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