Nursing Elites

1. 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.

2. Subtract and simplify: -5 - (-6) =

• A. ½
• B. 1⅜
• C. 1
• D. 1⅔

Correct answer: C

Rationale: To simplify the expression -5 - (-6), we can rewrite it as -5 + 6 (since subtracting a negative number is equivalent to adding its positive counterpart). This gives us -5 + 6 = 1. Therefore, the correct answer is 1. Choice A, ½, is incorrect because the subtraction of a negative number results in a positive number. Choices B and D are also incorrect as they do not match the simplified result of -5 - (-6), which is 1.

3. A solution is 60% alcohol. If 200ml of the solution is used, how much pure alcohol is present?

• A. 100ml
• B. 120ml
• C. 140ml
• D. 160ml

Correct answer: B

Rationale: If the solution is 60% alcohol, it means that 60% of the solution is alcohol. Therefore, in 200ml of the solution, the amount of alcohol present is: 200ml * 60% = 200ml * 0.60 = 120ml. So, when 200ml of the solution is used, there are 120ml of pure alcohol present. Choice A, 100ml, is incorrect because it does not account for the correct percentage of alcohol in the solution. Choice C, 140ml, and Choice D, 160ml, are incorrect as they overestimate the amount of pure alcohol present in the solution.

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. Lulu is 5 years younger than her sister, who is 7 years older than their 15-year-old cousin. How old is Lulu?

• A. 27
• B. 22
• C. 19
• D. 17

Correct answer: C

Rationale: Let Lulu's sister's age be x. According to the given information, x = 15 (cousin's age) + 7 = 22. So, Lulu's sister is 22 years old. Since Lulu is 5 years younger than her sister, Lulu's age is 22 - 5 = 17. Therefore, Lulu is 17 years old. Choices A, B, and D are incorrect because they do not correspond to the calculations based on the information provided in the question.

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