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. What is the result of 32 divided by 8/9?

• A. 4 & 1/9
• B. 4
• C. 36
• D. 28 & 4/9

Correct answer: C

Rationale: To divide by a fraction, we can multiply by its reciprocal. Therefore, dividing 32 by 8/9 is the same as multiplying 32 by 9/8, which equals 36. The correct answer is C. Choice A, 4 & 1/9, is incorrect because the result is a whole number. Choice B, 4, is incorrect as it does not consider the fraction. Choice D, 28 & 4/9, is incorrect as it is not the result of dividing 32 by 8/9.

3. 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.

4. A patient weighs 180 pounds. What is their weight in kilograms (1kg = 2.2lbs)?

• A. 68kg
• B. 75kg
• C. 82kg
• D. 90kg

Correct answer: C

Rationale: To convert pounds to kilograms, you need to divide the weight in pounds by the conversion factor of 2.2 (1kg = 2.2lbs). 180 pounds / 2.2 = 81.82 kg Rounded to the nearest whole number, the weight of 180 pounds is approximately 82kg. Therefore, the correct answer is 82kg, which is option C. Option B (75kg) is not correct as it is significantly lower than the calculated value. Options A (68kg) and D (90kg) are also incorrect as they do not match the converted weight of 180 pounds.

5. If Jolene averages 5 miles for every 30 minutes of biking, how far will she bike in 2 hours?

• A. 10 miles
• B. 15 miles
• C. 20 miles
• D. 30 miles

Correct answer: C

Rationale: If Jolene bikes 5 miles for every 30 minutes, it means she bikes 10 miles in one hour (twice the 30-minute interval). Therefore, in 2 hours, she will cover double the distance she bikes in one hour, which equals 20 miles (10 miles per hour x 2 hours = 20 miles). This makes Choice C, '20 miles,' the correct answer. Choices A, B, and D are incorrect as they do not account for the correct doubling of the hourly distance when calculating the total distance biked in 2 hours.

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