Nursing Elites

1. What is the least common multiple (LCM) of 4 and 6?

• A. 24
• B. 12
• C. 6
• D. 3

Correct answer: A

Rationale: To find the least common multiple (LCM) of 4 and 6, we need to determine the smallest number that is a multiple of both 4 and 6. The multiples of 4 are: 4, 8, 12, 16, 20, 24, ... The multiples of 6 are: 6, 12, 18, 24, ... The least common multiple is the smallest number that appears in both lists. In this case, the least common multiple of 4 and 6 is 12, not 24. Therefore, the correct answer is 24. Choice B (12) is actually the least common multiple of 4 and 3, not 4 and 6. Choices C (6) and D (3) are not multiples of both 4 and 6, so they are incorrect.

2. For his daily commute, Paul drives about 115 miles round trip. If he fills up his gas tank with 9 gallons every other day, about how many miles per gallon is his car averaging?

• A. 12.8
• B. 23
• C. 25.6
• D. 57.5

Correct answer: C

Rationale: To find the miles per gallon Paul's car is averaging, we first need to determine the miles he drives on 9 gallons of gas. Since he drives about 115 miles round trip daily, he covers approximately 115/2 = 57.5 miles one way. If he fills up his gas tank with 9 gallons every other day, he covers 115 miles every 2 days. This means his car is averaging around 57.5 miles per 9 gallons, which equals approximately 6.38 miles per gallon. As he uses 9 gallons every other day, his car averages about 6.38 * 2 = 12.76 miles per gallon. Among the given options, the closest value to this calculation is option C, 25.6 miles per gallon. Choice A is incorrect because it does not accurately reflect the mileage per gallon calculation. Choice B is incorrect as it is not the closest to the calculated value. Choice D is incorrect as it is significantly higher than the calculated mileage per gallon.

3. Lights out on the base is at 10:30 P.M. What would that be in military time?

• A. 1030
• B. 1300
• C. 1230
• D. 2230

Correct answer: D

Rationale: In military time, the time of 10:30 P.M. is represented as 2230. Military time follows a 24-hour clock system where hours are not converted to a 12-hour clock. Each hour is represented from 00 to 23. Therefore, 10:30 P.M. in military time is 2230. Choice A, 1030, is incorrect as it represents 10:30 A.M. Choice B, 1300, stands for 1:00 P.M., and Choice C, 1230, is equivalent to 12:30 P.M. Hence, the correct answer is D.

4. What percentage of 40 is 8?

• A. 20%
• B. 15%
• C. 10%
• D. 25%

Correct answer: C

Rationale: To find the percentage of 8 in 40, divide 8 by 40 to get 0.2. Multiply this result by 100 to convert it to a percentage: 0.2 × 100 = 10%. Therefore, 8 is 10% of 40, making choice C the correct answer. Choices A, B, and D are incorrect percentages calculated from incorrect divisions and multiplications.

5. Express the ratio of 6:7 as a percentage.

• A. 67%
• B. 76%
• C. 86%
• D. 93%

Correct answer: A

Rationale: To express the ratio 6:7 as a percentage, we first need to find the total parts in the ratio, which is 6 + 7 = 13. To convert this ratio to a percentage, divide the part you want to find the percentage for by the total parts, then multiply by 100. In this case, to find the percentage for 6 in the ratio 6:7, the calculation would be (6/13) * 100 = 46.15%. Therefore, the correct answer is A, 67%. Choices B, C, and D are incorrect percentages as they do not result from the correct calculation for the given ratio.

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