Nursing Elites

1. Which proportion yields a different number for the unknown compared to the others?

• A. 2/3 = x/6
• B. 4/5 = x/10
• C. 3/4 = x/8
• D. 5/6 = x/12

Correct answer: D

Rationale: To find the value of x in each proportion, cross multiply. For proportion A, x = 4; for B, x = 8; for C, x = 6; and for D, x = 10. Hence, proportion D yields a different value for x compared to the others. Choices A, B, and C all result in unique values for x, but these values are distinct from the value obtained in proportion D.

2. Prizes are to be awarded to the best pupils in each class of an elementary school. The number of students in each grade is shown in the table, and the school principal wants the number of prizes awarded in each grade to be proportional to the number of students. If there are twenty prizes, how many should go to fifth-grade students? Grade 1 2 3 4 5 Students 35 38 38 33 36

• A. 5
• B. 4
• C. 7
• D. 3

Correct answer: C

Rationale: To determine how many prizes should be awarded to 5th-grade students, we need to set up the proportion of the number of 5th-grade students to the total number of students in the school. The total number of students is 35 + 38 + 38 + 33 + 36 = 180 students. To find the proportion of 5th-grade students, it would be 36/180 = 0.2. Since there are 20 prizes to be awarded, multiplying 0.2 by 20 gives us 4, which means 4 prizes should go to the 5th-grade students. Therefore, the correct answer is 4. Choice A (5) is incorrect as it does not align with the proportional distribution. Choice B (4) is the correct answer, as calculated. Choice C (7) is incorrect as it exceeds the total number of prizes available. Choice D (3) is incorrect as it does not match the proportional distribution based on the number of students.

3. 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.

4. What is the least common multiple? What is the least common factor?

• A. The smallest number that both numbers multiply into; the smallest number that divides evenly into both
• B. The largest number that both numbers multiply into; the smallest number that divides evenly into both
• C. The smallest number that both numbers divide into evenly; the smallest number that multiplies into both
• D. The smallest number that both numbers divide into evenly; the smallest number that both multiply into

Correct answer: A

Rationale: The least common multiple is the smallest number that both numbers multiply into, which means it is the smallest number that both numbers can be evenly divided by without leaving a remainder. The least common factor, on the other hand, is the smallest number that divides both numbers without leaving a remainder. Therefore, choice A is correct as it accurately defines the least common multiple and factor. Choices B, C, and D are incorrect because they provide inaccurate definitions or mix up the concepts of multiplication and division in relation to finding the least common multiple and factor.

5. How will the number 89632 be written if rounded to the nearest hundred?

• A. 847.9
• B. 900
• C. 847.89
• D. 847.896

Correct answer: B

Rationale: Rounding the number 89632 to the nearest hundred means keeping only two digits before the decimal point. The digit in the hundredth place is the digit in the thousands place of the original number, which is 6. Since 6 is equal to or greater than 5, the digit in the hundredth place, which is 3, gets rounded up. Thus, the number 89632 rounded to the nearest hundred is 900. Choice A, 847.9, rounds the number to the nearest tenth, not hundredth. Choice C, 847.89, adds an extra decimal place which is not correct for rounding to the nearest hundred. Choice D, 847.896, adds more decimal places than necessary for rounding to the nearest hundred.

Similar Questions