Nursing Elites

1. What is (12/15) ÷ (3/5) = ?

• A. 1 1/3
• B. 1 2/3
• C. 2 1/3
• D. 1

Correct answer: A

Rationale: To divide fractions, you multiply by the reciprocal of the divisor. (12/15) ÷ (3/5) is the same as (12/15) * (5/3). Cancel out common factors to simplify: 12 ÷ 3 = 4, 15 ÷ 5 = 3. So, the expression simplifies to 4/3, which is 1 1/3 in mixed number form. Choice A, 1 1/3, is the correct answer. Choices B, C, and D are incorrect because they do not represent the simplified form of the division of the given fractions.

2. If x = -2 and m = -3, evaluate: xm - 2m

• A. 12
• B. 6
• C. 8
• D. 10

Correct answer: A

Rationale: Substitute x = -2 and m = -3 into the expression: (-2) * (-3) - 2 * (-3) = 6 + 6 = 12. Therefore, the correct answer is 12. The mistake in the other choices lies in the calculation. Choice B, 6, is the result of adding the two terms instead of subtracting the second term from the first. Choice C, 8, and Choice D, 10, are also incorrect as they do not follow the correct calculation process.

3. Convert 0.25 to a fraction.

• A. 1/4
• B. 1/3
• C. 1/2
• D. 3/4

Correct answer: A

Rationale: To convert a decimal to a fraction, place the decimal value over the place value of the last digit. In this case, 0.25 can be written as 25/100. Simplifying this fraction by dividing both the numerator and denominator by 25 gives 1/4. Therefore, 0.25 expressed as a fraction is 1/4. Choices B, C, and D are incorrect as they represent different fractional values that do not correspond to 0.25.

4. 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.

5. What is the sum of 3/7, 4/7, and 2/7?

• A. 7/7
• B. 9/7
• C. 6/7
• D. 7/7

Correct answer: B

Rationale: To find the sum of fractions with the same denominator, add the numerators. Here, 3/7 + 4/7 + 2/7 = (3 + 4 + 2)/7 = 9/7. Therefore, the correct answer is 9/7. Choice A (7/7) is incorrect as the sum is not 7/7. Choice C (6/7) is incorrect as the sum is not 6/7. Choice D (7/7) is incorrect as the sum is not 7/7.

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