Nursing Elites

1. What is the greatest common factor (GCF) of 12 and 18?

• A. 2
• B. 3
• C. 6
• D. 9

Correct answer: C

Rationale: The greatest common factor (GCF) of two numbers is the largest number that divides both numbers without leaving a remainder. To find the GCF of 12 and 18, we factorize each number: 12 = 2 x 2 x 3 and 18 = 2 x 3 x 3. The common factors are 2 and 3. The GCF is the product of these common factors, which is 6. Therefore, 6 is the greatest common factor of 12 and 18. Choice A (2) and Choice B (3) are factors of both numbers but not the greatest common factor. Choice D (9) is not a factor of both 12 and 18, making it incorrect.

2. Roger's car gets an average of 25 miles per gallon. If his gas tank holds 16 gallons, how far can he drive on a full tank?

• A. 41 miles
• B. 100 miles
• C. 400 miles
• D. 320 miles

Correct answer: C

Rationale: To calculate the distance Roger can drive on a full tank, multiply the number of gallons in his tank by the average miles per gallon his car gets. 16 gallons x 25 miles per gallon = 400 miles. Therefore, Roger can drive 400 miles on a full tank. Choice A (41 miles) is incorrect as it does not consider the tank's full capacity. Choice B (100 miles) is incorrect as it does not account for the full tank's capacity and the average miles per gallon. Choice D (320 miles) is incorrect as it miscalculates the total distance based on the given information.

3. What number is 15, if it is 20% of that number?

• A. 3
• B. 45
• C. 75
• D. 300

Correct answer: B

Rationale: To find the number that 15 is 20% of, we set up the equation: x * 0.20 = 15. Solving for x, we get x = 15 / 0.20 = 75. Therefore, 15 is 20% of 75. Choice A, 3, is too small to be 20% of 15. Choice C, 75, is the result of the correct calculation. Choice D, 300, is too large to be 20% of 15.

4. After spending money on a sandwich, a drink, and a bag of chips, how much money did the man have left from his initial $10?

• A. $1.50
• B. $0.95
• C. $1.90
• D. $2.10

Correct answer: B

Rationale: After spending $6.50 on a sandwich, the man had $3.50 left. Then, after spending $1.80 on a drink, he had $1.70 left. Finally, he spent another $0.75 on a bag of chips. Subtracting $0.75 from $1.70 gives us $0.95, which is the amount of money he had left. Choice A is incorrect because it does not consider the bag of chips he bought. Choice C is incorrect as it miscalculates the remaining amount. Choice D is incorrect as it does not account for the total expenses.

5. Leslie is blowing up her favorite photograph. If the photo's original height was 15 inches and the new height is 4 feet, how many feet must the new width be?

• A. 2.1 feet
• B. 4 feet
• C. 3 feet
• D. 5 feet

Correct answer: A

Rationale: To find the new width, we need to maintain the aspect ratio of the photo. The original height is 15 inches, which is equivalent to 1.25 feet. If the new height is 4 feet, the scaling factor for the height is 4/1.25 = 3.2. Therefore, to find the new width, we multiply the original width by this scaling factor: 1.25 feet * 3.2 ≈ 4 feet. So, the correct answer is approximately 2.1 feet (4 feet * (15 inches / 4 feet) ≈ 2.1 feet). Choices B, C, and D are incorrect as they do not consider the aspect ratio and calculate the new width incorrectly.

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