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. An ancient Egyptian pyramid has a square base with side lengths of 20 meters and a remaining height (after erosion) of 10 meters. Its original height was 30 meters. What was the volume of the pyramid in its original state?

• A. 12000 cubic meters
• B. 6000 cubic meters
• C. 18000 cubic meters
• D. 24000 cubic meters

Correct answer: A

Rationale: To find the volume of a pyramid, you can use the formula: Volume = (1/3) * base area * height. In this case, the base area is the square of side length 20 meters, which is 20 * 20 = 400 square meters. The original height of the pyramid is 30 meters. Therefore, the volume of the pyramid in its original state is (1/3) * 400 * 30 = 12000 cubic meters. Choice A is correct. Choices B, C, and D are incorrect as they do not correctly calculate the volume using the original height and base area of the pyramid.

3. If Gwen's favorite summer drink is 2 parts fruit juice to 3 parts seltzer and she starts with a gallon of fruit juice, how many quarts of seltzer will she need?

• A. 3 quarts
• B. 4.5 quarts
• C. 5 quarts
• D. 6 quarts

Correct answer: D

Rationale: To maintain the ratio of 2 parts fruit juice to 3 parts seltzer, for every 2 parts of fruit juice, Gwen will need 3 parts of seltzer. Since a gallon of fruit juice is equivalent to 4 quarts, she will need 3 quarts of seltzer for every 2 quarts of fruit juice. For 4 quarts of fruit juice, she will require 6 quarts of seltzer. Therefore, Gwen will need 6 quarts of seltzer to make the summer drink for her friends. Choice A (3 quarts) is incorrect because it does not account for the correct ratio. Choice B (4.5 quarts) is incorrect because it is not a whole number and does not align with the ratio provided. Choice C (5 quarts) is incorrect as it does not match the proportional ratio of fruit juice to seltzer required.

4. How many meters are in 3000 millimeters?

• A. 3 meters
• B. 30 meters
• C. 0.3 meters
• D. 300 meters

Correct answer: A

Rationale: 1 meter is equal to 1000 millimeters. Therefore, to convert 3000 millimeters to meters, we divide by 1000. 3000 millimeters / 1000 = 3 meters. Choice A, '3 meters,' is the correct answer. Choice B, '30 meters,' is incorrect because it represents a miscalculation of multiplying instead of dividing. Choice C, '0.3 meters,' is incorrect as it is the result of a decimal error. Choice D, '300 meters,' is incorrect as it is a result of not converting millimeters to meters correctly.

5. How many ounces are in 2 quarts?

• A. 8 ounces
• B. 16 ounces
• C. 32 ounces
• D. 64 ounces

Correct answer: D

Rationale: To convert quarts to ounces, you need to multiply by 32 (1 quart = 32 ounces). Therefore, 2 quarts x 32 ounces/quart = 64 ounces. Hence, there are 64 ounces in 2 quarts. Choices A, B, and C are incorrect because they do not reflect the correct conversion factor from quarts to ounces.

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