Nursing Elites

1. Which of the following statements demonstrates a negative correlation between two variables?

• A. People who play baseball more tend to have more hits
• B. Shorter people tend to weigh less than taller people
• C. Tennis balls that are older tend to have less bounce
• D. Cars that are older tend to have higher mileage

Correct answer: C

Rationale: The correct answer is C. This statement demonstrates a negative correlation between two variables as it indicates that as tennis balls age, their bounce tends to decrease. In a negative correlation, as one variable increases, the other tends to decrease. Choices A, B, and D do not illustrate a negative correlation. Choice A describes a positive correlation, as playing baseball more is associated with having more hits. Choice B does not show a correlation but a general observation. Choice D also does not demonstrate a correlation; it simply states that older cars tend to have higher mileage, without implying a relationship between age and mileage.

2. The graph below represents the amount of rainfall in a particular state by month. What is the total rainfall for the months May, June, and July?

• A. 9.0 inches
• B. 8.4 inches
• C. 7.5 inches
• D. 10.5 inches

Correct answer: A

Rationale: To calculate the total rainfall for May, June, and July, we add the rainfall amounts for each month: 3.2 inches (May) + 2.5 inches (June) + 3.3 inches (July) = 9.0 inches. Therefore, the correct answer is A. Choice B (8.4 inches) is incorrect as it does not account for the correct sum of rainfall for the specified months. Choice C (7.5 inches) is incorrect as it does not include the accurate total rainfall for May, June, and July. Choice D (10.5 inches) is incorrect as it provides a total that exceeds the actual combined rainfall for the given months.

3. Which statement about multiplication and division is true?

• A. The product of the quotient and the dividend is the divisor.
• B. The product of the dividend and the divisor is the quotient.
• C. The product of the quotient and the divisor is the dividend.
• D. None of the above.

Correct answer: C

Rationale: In division, the dividend is the number being divided, the divisor is the number you are dividing by, and the quotient is the result. Multiplying the quotient by the divisor gives the original dividend. This is the reverse of the division operation. Therefore, the correct statement is that the product of the quotient and the divisor equals the dividend, making option C correct. Choices A and B provide incorrect relationships between the terms dividend, divisor, quotient, and product, making them inaccurate. Option D is a general statement that does not provide the correct relationship between multiplication and division terms.

4. In a class of 30 students, with 60% boys and 40% girls, how many girls are in the class?

• A. 18 girls
• B. 12 girls
• C. 15 girls
• D. 10 girls

Correct answer: B

Rationale: To find the number of girls in the class, we need to calculate 40% of the total number of students, which is 30. 40% of 30 is 0.40 * 30 = 12 girls. Therefore, there are 12 girls in the class. Choice A, 18 girls, is incorrect as it miscalculates the percentage. Choice C, 15 girls, is incorrect as it misrepresents the correct calculation. Choice D, 10 girls, is incorrect as it underestimates the number of girls in the class.

5. Which of the following algebraic equations correctly represents the sentence 'Four more than a number, x, is 2 less than 1/3 of another number, y'?

• A. x + 4 = (1/3)y - 2
• B. 4x = 2 - (1/3)y
• C. 4 - x = 2 + (1/3)y
• D. x + 4 = 2 - (1/3)y

Correct answer: A

Rationale: To represent 'Four more than a number, x', we write x + 4. This is equal to '2 less than 1/3 of another number, y', which translates to 1/3y - 2. Therefore, the correct equation is x + 4 = (1/3)y - 2. Choice B is incorrect as it incorrectly combines the values of x and y. Choice C is incorrect as it doesn't properly relate x and y with the given conditions. Choice D is incorrect as it doesn't correctly represent the relationship between x and y according to the given statement.

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