Nursing Elites

1. 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.

2. What is the greatest common factor (GCF) of 12 and 18?

• A. 2
• B. 3
• C. 6
• D. 9

Correct answer: C

Rationale: The greatest common factor (GCF) of two numbers is the largest number that divides both numbers without leaving a remainder. To find the GCF of 12 and 18, we factorize each number: 12 = 2 x 2 x 3 and 18 = 2 x 3 x 3. The common factors are 2 and 3. The GCF is the product of these common factors, which is 6. Therefore, 6 is the greatest common factor of 12 and 18. Choice A (2) and Choice B (3) are factors of both numbers but not the greatest common factor. Choice D (9) is not a factor of both 12 and 18, making it incorrect.

3. What is the probability of rolling a 5 on a six-sided die?

• A. 1/6
• B. 1/4
• C. 1/2
• D. 1/3

Correct answer: A

Rationale: The probability of rolling a specific number on a fair six-sided die is calculated by dividing the number of favorable outcomes (1 in this case, as there is one '5' on the die) by the total number of possible outcomes (6 for a six-sided die), resulting in a probability of 1/6. Therefore, the correct answer is A. Choices B, C, and D are incorrect because they do not accurately represent the probability of rolling a 5 on a six-sided die. Option B (1/4) is incorrect because it represents the probability of rolling a specific number on a four-sided die. Option C (1/2) and Option D (1/3) are incorrect as they do not match the probability calculation for rolling a 5 on a six-sided die.

4. Which number is the highest among 0.077, 0.777, 0.08, and 0.87?

• A. 0.077
• B. 0.777
• C. 0.08
• D. 0.87

Correct answer: D

Rationale: To determine the highest number among 0.077, 0.777, 0.08, and 0.87, we compare the numbers. 0.87 is greater than 0.777, 0.08, and 0.077, making it the highest number. Choice A (0.077), Choice B (0.777), and Choice C (0.08) are lower numbers compared to 0.87, so they are incorrect.

5. What is the result of the expression 4/5 + 6/7?

• A. 1 23/35
• B. 2 5/7
• C. 1 1/7
• D. 1 3/4

Correct answer: A

Rationale: To add fractions with different denominators, you first need to find a common denominator. In this case, the common denominator for 5 and 7 is 35. Then, convert each fraction to have a denominator of 35. 4/5 becomes 28/35, and 6/7 becomes 30/35. Adding these fractions together gives 58/35, which simplifies to 1 23/35. Therefore, the correct answer is A, 1 23/35. Choice B, 2 5/7, is incorrect because it does not match the correct result. Choice C, 1 1/7, is incorrect as it is not the simplified form of the sum of the fractions. Choice D, 1 3/4, is incorrect as it is a different result and not the sum of 4/5 and 6/7.

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