Nursing Elites

1. What is the sum of two odd numbers, two even numbers, and an odd number and an even number?

• A. Odd + Odd = Even; Even + Even = Even; Odd + Even = Odd
• B. Odd + Odd = Odd; Even + Even = Even; Odd + Even = Even
• C. Odd + Odd = Even; Even + Even = Odd; Odd + Even = Even
• D. Odd + Odd = Odd; Even + Even = Odd; Odd + Even = Even

Correct answer: A

Rationale: The sum of two odd numbers is even because odd numbers have a difference of 1 and adding them results in a multiple of 2. The sum of two even numbers is even because even numbers are multiples of 2. When an odd number and an even number are added, the result is odd because the even number contributes an extra 1 to the sum, making it an odd number. Therefore, the correct answer is A. Choices B, C, and D have incorrect combinations of the sum of odd and even numbers.

2. What is the result of the expression 102 – 7(3 – 4) – 25? Which of the following is correct?

• A. -12
• B. 2
• C. 68
• D. 82

Correct answer: D

Rationale: To simplify the expression, we follow the order of operations (PEMDAS): Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). First, solve inside the parentheses: 3 - 4 = -1. Then, multiply -1 by 7: -1 * 7 = -7. Now, substitute these values back into the expression: 102 - (-7) - 25 = 102 + 7 - 25 = 109 - 25 = 84. Therefore, the correct answer is 84. Choices A, B, and C are incorrect as they do not represent the correct simplification of the given expression.

3. What is the GCF (greatest common factor)?

• A. The largest factor that all the numbers share
• B. The smallest factor that all the numbers share
• C. The largest multiple that all the numbers share
• D. The smallest multiple that all the numbers share

Correct answer: A

Rationale: The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. This factor represents the highest number that can evenly divide each of the numbers in the set without any remainder. Choice B, 'The smallest factor that all the numbers share,' is incorrect because the GCF is the greatest, not the smallest, factor. Choices C and D, 'The largest multiple that all the numbers share' and 'The smallest multiple that all the numbers share,' are also incorrect as the GCF refers to factors, not multiples.

4. Order the groups from largest to smallest, according to the number of doctors in each group.

• A. Group X, Group Y, Group Z
• B. Group Z, Group Y, Group X
• C. Group Z, Group X, Group Y
• D. Group Y, Group X, Group Z

Correct answer: B

Rationale: The correct order from largest to smallest number of doctors in each group is Group Z (20 doctors), Group Y (15 doctors), and Group X (10 doctors). Therefore, the correct order is Group Z, Group Y, and Group X, which matches option B. Option B is correct because it correctly reflects the descending order of the number of doctors in each group. Options A, C, and D are incorrect as they do not follow the correct order of the number of doctors in each group.

5. A study divides patients into 3 groups with fractions: 1/2, 1/3, and 1/6. Which group has the largest number of patients?

• A. Alpha
• B. Beta
• C. Gamma
• D. Delta

Correct answer: A

Rationale: Group Alpha has the largest number of patients because it represents 1/2 of the total population, which is the highest fraction among the groups. Group Beta represents 1/3 of the population, and Group Gamma represents 1/6 of the population, making them smaller fractions in comparison. Group Delta is not mentioned in the question and is therefore unrelated to the comparison of the groups.

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