Nursing Elites

1. Train A leaves the station at 1:45 traveling at a constant speed of 65 mph. If it arrives at its destination at 3:15, how many miles did it travel?

• A. 97.5 miles
• B. 75 miles
• C. 100 miles
• D. 130 miles

Correct answer: A

Rationale: Train A traveled for 1.5 hours at a speed of 65 mph. To find the distance traveled, we use the formula Distance = Speed x Time. Distance = 65 mph x 1.5 hours = 97.5 miles. Therefore, the correct answer is 97.5 miles. Choice B (75 miles) is incorrect because it does not account for the full 1.5 hours of travel time. Choice C (100 miles) and Choice D (130 miles) are incorrect as they are not calculated based on the given speed and time.

2. Solve for x: 3x + 2 = 14

• A. x = 4
• B. x = 2
• C. x = 6
• D. x = 3

Correct answer: A

Rationale: To solve the equation 3x + 2 = 14, first, subtract 2 from both sides to isolate 3x: 3x = 12. Then, divide by 3 to solve for x: x = 4. Therefore, the correct answer is A, x = 4. Choice B, x = 2, is incorrect because it does not satisfy the equation. Choice C, x = 6, is incorrect as well since it does not satisfy the equation. Choice D, x = 3, is also incorrect as it does not satisfy the given equation.

3. In the time required to serve 43 customers, a server breaks 2 glasses and slips 5 times. The next day, the same server breaks 10 glasses. How many customers did she serve?

• A. 25
• B. 43
• C. 86
• D. 215

Correct answer: C

Rationale: In the first scenario, for 43 customers served, the server broke 2 glasses and slipped 5 times. This means for each customer served, the server broke 2/43 glasses and slipped 5/43 times. The information about breaking 10 glasses the next day is irrelevant to the number of customers served. Therefore, to find out the total number of customers served, we calculate 43 customers * (2 glasses/customer + 5 slips/customer) = 86. Choice A, 25, is incorrect as it does not consider the total number of glasses broken or slips. Choice B, 43, is incorrect because it only considers the initial number of customers. Choice D, 215, is incorrect as it miscalculates the relationship between customers, glasses broken, and slips.

4. 5 1\3 + 3 1\2.

• A. 8 5/6
• B. 9
• C. 7
• D. 8

Correct answer: A

Rationale: 5 1\3 + 3 1\2 equals 8 5\6.

5. What is the probability of rolling a 4 on a six-sided die?

• A. 1/2
• B. 1/6
• C. 1/3
• D. 1/2

Correct answer: B

Rationale: The correct answer is B: 1/6. When rolling a six-sided die, there is only one outcome that results in a '4' out of a total of six possible outcomes (1, 2, 3, 4, 5, 6). Therefore, the probability of rolling a 4 is 1/6. Choice A (1/2) is incorrect as it represents the probability of rolling an even number on a six-sided die, not specifically a '4.' Choice C (1/3) and Choice D (1/2) do not accurately reflect the probability of rolling a '4' on a six-sided die.

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