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. If y = 4 and x = 3, solve y x³

• A. -108
• B. 108
• C. 27
• D. 4

Correct answer: B

Rationale: With y = 4 and x = 3, the expression is y × x³. Substituting the values, we get 4 × 3³ = 4 × 27 = 108. Therefore, the correct answer is 108. Option A (-108) is incorrect because the negative sign is not part of the result. Option C (27) is incorrect as it only represents x³ without considering the value of y. Option D (4) is incorrect as it represents the initial value of y, not the result of y × x³.

3. How many pints are in 56 ounces?

• A. 3.5 pints
• B. 4 pints
• C. 3 pints
• D. 4.5 pints

Correct answer: A

Rationale: To convert ounces to pints, you need to know that 1 pint is equivalent to 16 ounces. Therefore, to find how many pints are in 56 ounces, you divide 56 by 16, which equals 3.5 pints. Hence, the correct answer is 3.5 pints. Choice B, 4 pints, is incorrect because it doesn't account for the conversion factor of 16 ounces per pint. Choice C, 3 pints, is incorrect as it is less than the actual conversion result. Choice D, 4.5 pints, is incorrect as it overestimates the number of pints in 56 ounces.

4. Sally eats 3/5 of her lunch. John eats 75%. Who ate more?

• A. John
• B. Sally
• C. Both the same
• D. Neither

Correct answer: A

Rationale: To compare, convert both to decimals or percentages: Sally ate 3/5, which is 0.6 or 60%. John ate 75%. Since 75% is greater than 60%, John ate more than Sally. Thus, the correct answer is A. John. Choice B is incorrect because Sally ate a smaller percentage of her lunch compared to John. Choice C is incorrect as the percentages consumed are different. Choice D is incorrect as one of them ate more.

5. What is the result of the expression 47/57 + 65/75?

• A. 1 23/35
• B. 2 1/3
• C. 1 2/3
• D. 1 5/6

Correct answer: A

Rationale: To add fractions, you need a common denominator. In this case, the common denominator is 57 * 75 = 4275. So, (47*75 + 65*57) / 4275 = (3525 + 3705) / 4275 = 7230 / 4275. Simplifying this fraction gives 1 23/35. Choice B: 2 1/3 is incorrect as the correct result is not a mixed number. Choice C: 1 2/3 is incorrect as it does not match the simplified result of the expression. Choice D: 1 5/6 is incorrect as it is a different value from the correct result obtained by adding the fractions.

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