Nokea
Based on their prescribing habits, a set of doctors was divided into three groups: 1/4 of the doctors were placed in Group X because they always prescribed medication. 1/3 of the doctors were placed in Group Y because they never prescribed medication. 1/6 of the doctors were placed in Group Z because they sometimes prescribed medication. 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: D
Rationale: Compare and order the groups based on the fractions provided.
You may also like to solve these questions
What is an exponent?
- A. A number that tells how many times to multiply
- B. A number that is multiplied
- C. A number that divides evenly into another number
- D. A number that represents the square of a number
Correct Answer: A
Rationale: An exponent is a number that indicates how many times a base number is multiplied by itself. The correct answer (A) accurately defines an exponent as a multiplier that shows how many times a number should be multiplied by itself. Choice B is incorrect as it describes a factor rather than an exponent. Choice C is incorrect as it defines a divisor, not an exponent. Choice D is incorrect as it specifically refers to the square of a number, which is not a general definition of an exponent.
A consumer recently purchased a new car and paid $48,000. This amount is $2,000 less than twice what the consumer's friend paid for their car. Which of the following is the amount that the friend paid for their car?
- A. $23,000
- B. $46,000
- C. $25,000
- D. $50,000
Correct Answer: C
Rationale: To find the amount the friend paid, you can set up the equation 2x - 2000 = 48000, where x represents the amount the friend paid. Solving this equation gives x = $25,000. Therefore, the friend paid $25,000. Choice A ($23,000) is incorrect because it does not account for the $2,000 difference mentioned in the question. Choice B ($46,000) is incorrect because it is double the amount needed. Choice D ($50,000) is incorrect as it does not consider the $2,000 less mentioned in the question.
One gallon of cleaning solution requires 6 oz of ammonia. If the maintenance department needs 230 gallons of solution to clean all of the floors, how much ammonia is needed?
- A. 1380 gallons
- B. 6900 gallons
- C. 1380 oz
- D. 1400 oz
Correct Answer: C
Rationale: To find out how much ammonia is needed for 230 gallons of cleaning solution, you multiply the amount of ammonia needed per gallon by the total gallons of solution required. Therefore, 230 gallons * 6 oz/gallon = 1380 oz of ammonia. Option A ('1380 gallons') and Option B ('6900 gallons') are incorrect as the question asks for the amount of ammonia needed, not the total volume of cleaning solution. Option D ('1400 oz') is incorrect as it does not correctly calculate the amount of ammonia required based on the given information.
There are 800 students enrolled in four allied health programs at a local community college. The percentage of students in each program is displayed in the pie chart. What is the number of students enrolled in the respiratory care program?
- A. 336
- B. 152
- C. 144
- D. 168
Correct Answer: B
Rationale: To find the number of students enrolled in the respiratory care program, you need to calculate 19% of 800. 19% of 800 is (19/100) * 800 = 152 students. Therefore, the correct answer is B. Choice A (336), Choice C (144), and Choice D (168) are incorrect as they do not represent the correct percentage of students enrolled in the respiratory care program as indicated by the pie chart.
What is the least common denominator for the fractions below? 1/2, 2/3, 4/5
- A. 30
- B. 25
- C. 7
- D. 19
Correct Answer: A
Rationale: To find the least common denominator for fractions 1/2, 2/3, and 4/5, we need to identify the least common multiple of the denominators. The denominators are 2, 3, and 5. The least common multiple of 2, 3, and 5 is 30. Therefore, 30 is the least common denominator for these fractions. Choice B (25), C (7), and D (19) are incorrect because they are not the least common multiple of the denominators of the given fractions.