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. What is 80% of $500?

• A. $425
• B. $450
• C. $350
• D. $400

Correct answer: D

Rationale: To find 80% of $500, you multiply 0.8 by 500. Therefore, 0.8 x 500 = $400. This means that option D, $400, is the correct answer. Option A, $425, is incorrect because it is higher than the calculated value. Option B, $450, is also higher than the correct answer. Option C, $350, is lower than the calculated value. Hence, the correct answer is D, $400.

3. Subtract 6 1/2 - 2 2/3.

• A. 4 1/6
• B. 3 1/3
• C. 3 5/6
• D. 4 1/3

Correct answer: A

Rationale: To subtract mixed numbers, find a common denominator. Converting 6 1/2 to 6 3/6 and 2 2/3 to 2 4/6, the calculation becomes 6 3/6 - 2 4/6 = 4 1/6. Therefore, the correct answer is A. Choice B (3 1/3) is incorrect as the correct result is not an improper fraction. Choice C (3 5/6) is incorrect as it does not represent the result of the subtraction. Choice D (4 1/3) is incorrect as it does not match the correct calculation.

4. There are 225 pieces of candy in a large jar. Ben wants to give the 25 campers in his group an equal amount of candy. How many pieces of candy will each camper receive?

• A. 9 pieces
• B. 7 pieces
• C. 8 pieces
• D. 6 pieces

Correct answer: A

Rationale: To determine how many pieces of candy each camper will receive, divide the total number of pieces of candy (225) by the number of campers (25): 225 ÷ 25 = 9 pieces per camper. Therefore, each camper will receive 9 pieces of candy to ensure they all get an equal amount. Choice B, 7 pieces, is incorrect because the total number of candy pieces divided equally among 25 campers results in 9 pieces per camper, not 7. Choice C, 8 pieces, and choice D, 6 pieces, are also incorrect as they do not accurately reflect the division of 225 pieces of candy among 25 campers.

5. A kite has a top base of 20cm, a bottom base of 30cm, and two equal side lengths of 15cm. What is its perimeter?

• A. 55cm
• B. 65cm
• C. 70cm
• D. 80cm

Correct answer: C

Rationale: To find the perimeter of a kite, you need to add the lengths of all its sides. In this case, the perimeter is calculated as the sum of the top base, bottom base, and twice the side length. Therefore, perimeter = top base + bottom base + 2 * side length = 20cm + 30cm + 2 * 15cm = 70cm. Choice A, B, and D are incorrect as they do not consider all sides of the kite in the calculation.

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