Nursing Elites

1. If you pull an orange block from a bag of 3 orange, 5 green, and 4 purple blocks, what is the probability of consecutively pulling two more orange blocks without replacement?

• A. 1/12
• B. 3/55
• C. 1/55
• D. 2/33

Correct answer: B

Rationale: To calculate the probability of pulling two more orange blocks consecutively without replacement after the initial orange block is pulled, we need to multiply the probabilities. After the first orange block is pulled, there are 2 orange blocks left out of a total of 11 blocks remaining. So, the probability of pulling a second orange block is 2/11. Therefore, the overall probability is (3/12) * (2/11) = 3/55. Choice A (1/12) is incorrect because it only considers the probability of the first orange block being pulled. Choice C (1/55) is incorrect as it represents the probability of pulling two orange blocks in a row, not the consecutive pulls after the initial pull. Choice D (2/33) is incorrect as it does not reflect the correct calculation for the consecutive pulls of orange blocks.

2. Bridget is repainting her rectangular bedroom. Two walls measure 15 feet by 9 feet, and the other two measure 12.5 feet by 9 feet. One gallon of paint covers an average of 32 square meters. Which of the following is the number of gallons of paint that Bridget will use? (There are 3.28 feet in 1 meter.)

• A. 0.72 gallons
• B. 1.43 gallons
• C. 4.72 gallons
• D. 15.5 gallons

Correct answer: B

Rationale: First, convert the dimensions to meters: 15 ft. × (1 m/3.28 ft.) = 4.57 m; 9 ft. × (1 m/3.28 ft.) = 2.74 m; 12.5 ft. × (1 m/3.28 ft.) = 3.81 m. Next, find the total area in square meters: total area = 2(4.57 m × 2.74 m) + 2(3.81 m × 2.74 m) = 45.9 m². Finally, convert the area to gallons of paint: 45.9 m² × (1 gallon/32 m²) = 1.43 gallons. Therefore, Bridget will need 1.43 gallons of paint to repaint her bedroom. Choices A, C, and D are incorrect because they do not accurately calculate the required amount of paint based on the given dimensions and the coverage area of one gallon of paint.

3. What is the value of the sum of 0.75 and 0.625?

• A. 0.875
• B. 1.375
• C. 1.625
• D. 0.125

Correct answer: B

Rationale: Adding 0.75 and 0.625 gives: 0.75+0.625=1.375.

4. What is the number of students who said their favorite color is blue if 35% of 100 students chose blue as their favorite color?

• A. 35
• B. 25
• C. 20
• D. 10

Correct answer: A

Rationale: To find the number of students who said their favorite color is blue, we calculate 35% of 100, which is (35/100) * 100 = 35. Therefore, 35 students said their favorite color is blue. Choice B is incorrect because it represents the percentage of students who chose red. Choice C is incorrect as it represents the percentage of students who chose green. Choice D is incorrect as it represents the percentage of students who chose yellow.

5. How many kiloliters are in 147 liters?

• A. 0.147 kiloliters
• B. 1.47 kiloliters
• C. 1,470 kiloliters
• D. 147,000 kiloliters

Correct answer: A

Rationale: To convert liters to kiloliters, divide by 1000 since there are 1000 liters in a kiloliter. Therefore, 147 liters = 0.147 kiloliters. Choice B is incorrect as it incorrectly moves the decimal point. Choices C and D are significantly larger than the correct answer, indicating an incorrect conversion factor used.

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