Nursing Elites

1. What is the sum of 1/3, 1/4, and 1/6?

• A. 5/12
• B. 1/2
• C. 1/3
• D. 1/4

Correct answer: B

Rationale: To find the sum of 1/3, 1/4, and 1/6, we need to first find a common denominator. The least common multiple of 3, 4, and 6 is 12. So, we rewrite the fractions with the common denominator: 1/3 = 4/12, 1/4 = 3/12, and 1/6 = 2/12. Adding these fractions together gives us 4/12 + 3/12 + 2/12 = 9/12, which simplifies to 3/4 or 1/2. Therefore, the correct answer is 1/2. Choice A (5/12) is incorrect because it does not represent the sum of the fractions given. Choices C (1/3) and D (1/4) are also incorrect as they are individual fractions and do not represent the sum of the fractions provided.

2. If 7 is to 9 as x is to 63, find the value of x.

• A. x = 49
• B. x = 39
• C. x = 50
• D. x = 59

Correct answer: A

Rationale: To find the value of x, set up the proportion 7/9 = x/63. Cross multiply to get 7*63 = 9*x. This simplifies to 441 = 9x. Divide both sides by 9 to solve for x, giving x = 49. Therefore, the correct answer is A. Choice B (x = 39), Choice C (x = 50), and Choice D (x = 59) are incorrect as they do not match the correct calculation based on the proportion set up.

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

• A. 97.5 miles
• B. 100 miles
• C. 95 miles
• D. 105 miles

Correct answer: A

Rationale: To calculate the distance traveled by the train, multiply the speed (65 mph) by the time it took to reach the destination, which is 1.5 hours (3:15 PM - 1:45 PM = 1.5 hours). Therefore, 65 mph × 1.5 hours = 97.5 miles. This calculation is correct because distance = speed × time. Choices B, C, and D are incorrect as they do not reflect the correct calculation based on the given information.

4. Solve for x. x/250 = 3/500

• A. 1.5
• B. 2
• C. 1500
• D. 25

Correct answer: A

Rationale: To solve the proportion x/250 = 3/500, cross multiply to get 500x = 750. Then solve for x by dividing both sides by 500, which results in x = 1.5. Therefore, the correct answer is A. Choice B (2) is incorrect because the correct solution is 1.5, not 2. Choice C (1500) is incorrect as it does not align with the correct calculation of the proportion. Choice D (25) is incorrect and does not match the correct solution obtained by solving the proportion.

5. A lab needs 200ml of a 5% salt solution. They only have a 10% solution. How much 10% solution and water should be mixed?

• A. 100ml 10% solution, 100ml water
• B. 150ml 10% solution, 50ml water
• C. 160ml 10% solution, 40ml water
• D. 200ml 10% solution, 0ml water

Correct answer: B

Rationale: Rationale: 1. Let x be the volume of the 10% solution needed and y be the volume of water needed. 2. The total volume of the final solution is 200ml, so x + y = 200. 3. The concentration of the final solution is 5%, so the amount of salt in the final solution is 0.05 * 200 = 10g. 4. The amount of salt in the 10% solution is 0.1x, and the amount of salt in the water is 0, so the total amount of salt in the final solution is 0.1x. 5. Since the total amount of salt in the final solution is 10g, we have 0.1x = 10. 6. Solving for x, we get x = 100ml. 7. Substituting x =

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