Nursing Elites

1. What is the square root of 1296?

• A. 24
• B. 36
• C. 31
• D. 12

Correct answer: B

Rationale: The square root of 1296 is 36 because 36 multiplied by 36 equals 1296. Therefore, the correct answer is 36. Choices A, C, and D are incorrect. A (24) is not the square root of 1296 because 24 multiplied by 24 is 576, not 1296. C (31) is also incorrect as 31 multiplied by 31 is 961, not 1296. D (12) is not the square root of 1296 as 12 multiplied by 12 equals 144, not 1296.

2. Solve for x: 3(x - 1) = 2(3x - 9)

• A. x = 2
• B. x = 8/3
• C. x = -5
• D. x = 5

Correct answer: D

Rationale: To solve the equation 3(x - 1) = 2(3x - 9), first distribute and simplify both sides to get 3x - 3 = 6x - 18. Next, subtract 3x from both sides to get -3 = 3x - 18. Then, add 18 to both sides to obtain 15 = 3x. Finally, divide by 3 to find x = 5. Therefore, the correct answer is x = 5. Choices A, B, and C are incorrect because they do not represent the correct solution to the given equation after proper algebraic manipulation.

3. How do you find the least common multiple?

• A. List all multiples of the numbers, then find the smallest common one
• B. List all factors of the numbers, then find the largest common one
• C. Divide the largest number by the smallest
• D. Multiply the two numbers together

Correct answer: A

Rationale: The correct way to find the least common multiple is to list all the multiples of each number and then identify the smallest common multiple. Choice A is correct because it describes the correct process. Listing factors, as suggested in choice B, helps in finding the greatest common factor, not the least common multiple. Dividing the largest number by the smallest, as mentioned in choice C, does not help find the least common multiple. Multiplying the two numbers together, as stated in choice D, results in their least common multiple when the numbers have no common factors.

4. A mathematics test has a 4:2 ratio of data analysis problems to algebra problems. If the test has 18 algebra problems, how many data analysis problems are on the test?

• A. 24
• B. 28
• C. 36
• D. 38

Correct answer: C

Rationale: The ratio of 4:2 simplifies to 2:1. This means that for every 2 algebra problems, there is 1 data analysis problem. If there are 18 algebra problems, we can set up a proportion: 2 algebra problems correspond to 1 data analysis problem. Therefore, 18 algebra problems correspond to x data analysis problems. Solving the proportion, x = 18 * 1 / 2 = 9. Hence, there are 9 data analysis problems on the test. Therefore, the total number of data analysis problems on the test is 18 (algebra problems) + 9 (data analysis problems) = 27.

5. What is the overall median of Dwayne's current scores: 78, 92, 83, 97?

• A. 19
• B. 85
• C. 83
• D. 87.5

Correct answer: B

Rationale: To find the median of a set of numbers, first arrange the scores in ascending order: 78, 83, 92, 97. Since there is an even number of scores, we find the median by taking the average of the two middle values. In this case, the middle values are 83 and 92. Calculating (83 + 92) / 2 = 85, we determine that the overall median of Dwayne's scores is 85. Choice A (19) is incorrect as it does not correspond to any value in the given set of scores. Choice C (83) is the median of the original set but not the overall median once arranged. Choice D (87.5) is the average of all scores but not the median.

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