Nursing Elites

1. Solve for x: 3:2 :: 24:x

• A. 16
• B. 12
• C. 2
• D. 22

Correct answer: A

Rationale: To solve the proportion 3:2 :: 24:x, we set up the equation 3/2 = 24/x. Cross multiply to get 3x = 48, then divide by 3 to find x = 16. Therefore, the correct answer is 16. Choice B (12) is incorrect as it does not satisfy the proportion. Choice C (2) is incorrect as it does not match the relationship between the numbers given. Choice D (22) is incorrect as it is not the solution to the proportion equation.

2. Jeff needed a 6 ft. rope. He found 2 pieces of rope and thought maybe he could tie them together. One rope was 40 inches and the other was 36 inches. How long would the rope be, and would he have enough rope if he ties them together?

• A. No, the rope would be 76 inches.
• B. Yes, the rope would be 76 inches.
• C. Yes, the rope would be 6 feet.
• D. No, the rope would be 6 feet.

Correct answer: B

Rationale: To convert 6 feet to inches, we multiply 6 by 12 (1 foot = 12 inches), giving us 72 inches needed. By adding the lengths of the two ropes (40 inches + 36 inches), Jeff would have a total of 76 inches, which is more than the 72 inches required. Therefore, he would have enough rope if he ties them together. Choice A and D are incorrect because they misinterpret the conversion from feet to inches. Choice C is incorrect as it does not consider the actual combined length of the two ropes.

3. A bag contains 5 red marbles and 7 blue marbles. If you draw a marble without looking, what is the probability it will be red?

• A. 1/4
• B. 1/3
• C. 1/2
• D. 2/3

Correct answer: B

Rationale: The total number of marbles in the bag is 5 (red) + 7 (blue) = 12 marbles. The probability of drawing a red marble is the number of red marbles divided by the total number of marbles: 5/12. Simplifying 5/12 gives 1/3. Therefore, the correct probability of drawing a red marble is 1/3. Choice A (1/4) is incorrect because there are more red marbles than 1/4 of the total marbles. Choice C (1/2) is incorrect as it represents half of the total marbles. Choice D (2/3) is incorrect as it implies there are more red marbles than there actually are.

4. If Alice consumes twice as many calories as Claire, and Claire consumes 2,500 calories a day, how many calories does Alice consume per week?

• A. 17,500
• B. 15,000
• C. 22,500
• D. 35,000

Correct answer: D

Rationale: If Claire consumes 2,500 calories a day, Alice, consuming twice as many calories as Claire, would consume 2 * 2,500 = 5,000 calories per day. To find out how many calories Alice consumes per week, we multiply her daily consumption by 7 (days in a week): 5,000 * 7 = 35,000 calories. Therefore, Alice consumes 35,000 calories per week. Choices A, B, and C are incorrect because they do not account for Alice consuming twice as many calories as Claire.

5. What time is 6:30 A.M. in military time?

• A. 0630
• B. 6030
• C. 1503
• D. 1530

Correct answer: A

Rationale: Military time uses a 24-hour clock format where the hours range from 00 to 23. In this format, 6:30 A.M. is expressed as 0630. Choice B (6030) and Choice C (1503) are incorrect as they do not follow the 24-hour clock format. Choice D (1530) represents 3:30 P.M., not 6:30 A.M.

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