Nursing Elites

1. If m represents a car’s average mileage in miles per gallon, p represents the price of gas in dollars per gallon, and d represents a distance in miles, which of the following algebraic equations represents the cost, c, of gas per mile?

• A. c = dp/m
• B. c = p/m
• C. c = mp/d
• D. c = m/p

Correct answer: B

Rationale: The cost of gas per mile, c, is calculated by dividing the price of gas, represented by p, by the car's average mileage, represented by m. Therefore, the correct equation is c = p/m. Choice A (dp/m) incorrectly multiplies the price of gas and distance, while choice C (mp/d) incorrectly multiplies the average mileage and price of gas. Choice D (m/p) incorrectly divides the average mileage by the price of gas, which does not represent the cost of gas per mile.

2. What number is 20 equal to 40% of?

• A. 50
• B. 8
• C. 200
• D. 5000

Correct answer: A

Rationale: To find the number that 20 is equal to 40% of, you can set up the equation: 20 = 0.4 * x, where x is the unknown number. To solve for x, divide both sides of the equation by 0.4. This gives x = 20 / 0.4 = 50. Therefore, 20 is 40% of 50. Choice B, 8, is incorrect because 20 is not equal to 40% of 8. Choice C, 200, is incorrect because 20 is not equal to 40% of 200. Choice D, 5000, is incorrect because 20 is not equal to 40% of 5000. The correct answer is 50.

3. What is the solution to 4 x 7 + (25 – 21)²?

• A. 512
• B. 36
• C. 44
• D. 22

Correct answer: C

Rationale: To find the solution, first solve the expression inside the parentheses: 25 - 21 = 4. Then, square the result from the parentheses: 4² = 16. Next, perform the multiplication: 4 x 7 = 28. Finally, add the results: 28 + 16 = 44. Therefore, the correct answer is 44. Choice A (512), Choice B (36), and Choice D (22) are incorrect as they do not follow the correct order of operations for solving the given mathematical expression.

4. Which of the following weights is equivalent to 3.193 kilograms?

• A. 3,193,000 grams
• B. 3,193 grams
• C. 319.3 grams
• D. 0.003193 grams

Correct answer: B

Rationale: To convert kilograms to grams, you need to remember that 1 kilogram is equal to 1,000 grams. Therefore, 3.193 kilograms is equivalent to 3,193 grams (3.193 kg * 1,000 g/kg = 3,193 g). Choice A (3,193,000 grams) incorrectly converts kilograms to milligrams, Choice C (319.3 grams) incorrectly moves the decimal point one place to the right, and Choice D (0.003193 grams) incorrectly converts kilograms to milligrams and then further to grams.

5. A gumball machine contains red, orange, yellow, green, and blue gumballs. Twenty percent of the gumballs are red, 30% are orange, 5% are yellow, 10% are green, and the rest are blue. If there are a total of 120 gumballs, how many more blue gumballs are there than yellow gumballs?

• A. 48
• B. 30
• C. 42
• D. 36

Correct answer: D

Rationale: The percentage of blue gumballs is 35% (100% - 20% - 30% - 5% - 10% = 35%). If there are 120 gumballs, 35% of that is 42 blue gumballs. Since 5% are yellow gumballs, which is 6 gumballs, the difference between 42 blue gumballs and 6 yellow gumballs is 36 more blue gumballs. Therefore, the correct answer is 36. Choice A (48) is incorrect as it miscalculates the difference. Choice B (30) is incorrect as it does not consider the correct percentage of blue gumballs. Choice C (42) is incorrect as it miscalculates the difference between blue and yellow gumballs.

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