Nursing Elites

1. If a car's gas tank is 3/4 full and the tank holds 16 gallons when full, how many gallons are in the tank?

• A. 12 gallons
• B. 8 gallons
• C. 14 gallons
• D. 10 gallons

Correct answer: A

Rationale: To find out how many gallons are in the tank when it is 3/4 full, you need to calculate 3/4 of 16 gallons. 3/4 of 16 is (3/4) x 16 = 12 gallons. Therefore, the car's gas tank contains 12 gallons when it is 3/4 full. Choice B (8 gallons) is incorrect because that would be 1/2 of the tank's capacity, not 3/4. Choice C (14 gallons) is incorrect as it exceeds the full capacity of the tank. Choice D (10 gallons) is incorrect as it is less than 3/4 of the tank's capacity.

2. Erin has 6.25 peach pies. She gives Rose 3.75 of the peach pies. How many pies does Erin have left?

• A. 2 peach pies
• B. 3 peach pies
• C. 1 peach pie
• D. 2 peach pies

Correct answer: A

Rationale: To find how many pies Erin has left, subtract 3.75 from 6.25: 6.25 - 3.75 = 2.5 peach pies. Erin has 2.5 peach pies left, which rounds down to 2 pies, making choice A the correct answer. Choices B, C, and D are incorrect because they do not reflect the correct subtraction result.

3. What is the result of multiplying 7.2 by 0.34?

• A. 14.12
• B. 0.234
• C. 7.64
• D. 2.448

Correct answer: D

Rationale: To find the result of multiplying 7.2 by 0.34, multiply these two numbers: 7.2 x 0.34 = 2.448. The correct answer is 2.448. Choice A, 14.12, is incorrect as it seems to be the sum of the two numbers. Choice B, 0.234, is incorrect as it is much smaller than the expected result. Choice C, 7.64, is incorrect as it is the result of adding the two numbers rather than multiplying them.

4. What percentage of 40 is 8?

• A. 20%
• B. 15%
• C. 10%
• D. 25%

Correct answer: C

Rationale: To find the percentage of 8 in 40, divide 8 by 40 to get 0.2. Multiply this result by 100 to convert it to a percentage: 0.2 × 100 = 10%. Therefore, 8 is 10% of 40, making choice C the correct answer. Choices A, B, and D are incorrect percentages calculated from incorrect divisions and multiplications.

5. Relatively prime numbers share no common factors other than 1. Which of the following pairs of numbers are relatively prime?

• A. 12 and 16
• B. 15 and 17
• C. 20 and 24
• D. 28 and 36

Correct answer: B

Rationale: Rationale: - Relatively prime numbers are numbers that share no common factors other than 1. - To determine if two numbers are relatively prime, we need to find the greatest common divisor (GCD) of the two numbers. If the GCD is 1, then the numbers are relatively prime. - Let's calculate the GCD for each pair of numbers: A) GCD(12, 16) = 4, not relatively prime B) GCD(15, 17) = 1, relatively prime C) GCD(20, 24) = 4, not relatively prime D) GCD(28, 36) = 4, not relatively prime Therefore, the pair of numbers 15 and 17 are relatively prime because their greatest common divisor is 1, meaning they share no common factors other than 1.

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