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. Solve for x if x=11. x+(44/2x)

• A. 2.5
• B. 33
• C. 55
• D. 13

Correct answer: A

Rationale: Substitute x=11 into the expression: 11 + (44 / 2*11) = 11 + (44 / 22) = 11 + 2 = 13 Therefore, the correct answer is 13. Choice A (2.5) is incorrect as the correct result is 13, not 2.5. Choice B (33) is incorrect because it does not result from the given expression. Choice C (55) is incorrect as it does not match the calculated value. Choice D (13) is incorrect because the correct solution is 13, not 2.5.

3. A group of 8 friends went out to eat at a restaurant. They decided to split the bill evenly. If the bill totaled $120, how much did each friend pay?

• A. $15
• B. $10
• C. $12
• D. $20

Correct answer: A

Rationale: To determine how much each friend paid, divide the total bill amount by the number of friends. In this scenario, $120 ÷ 8 friends = $15. Therefore, each friend paid $15. Choice B ($10) is incorrect because dividing $120 by 8 does not yield $10. Choice C ($12) is incorrect because dividing $120 by 8 does not yield $12. Choice D ($20) is incorrect because dividing $120 by 8 does not yield $20.

4. A solution is 60% alcohol. If 200ml of the solution is used, how much pure alcohol is present?

• A. 100ml
• B. 120ml
• C. 140ml
• D. 160ml

Correct answer: B

Rationale: If the solution is 60% alcohol, it means that 60% of the solution is alcohol. Therefore, in 200ml of the solution, the amount of alcohol present is: 200ml * 60% = 200ml * 0.60 = 120ml. So, when 200ml of the solution is used, there are 120ml of pure alcohol present. Choice A, 100ml, is incorrect because it does not account for the correct percentage of alcohol in the solution. Choice C, 140ml, and Choice D, 160ml, are incorrect as they overestimate the amount of pure alcohol present in the solution.

5. Solve for x: 120:x::40:0.5.

• A. 1.5
• B. 60
• C. 0.167
• D. 16

Correct answer: A

Rationale: To solve the proportion 120:x::40:0.5, cross-multiply to get 120 * 0.5 = 40 * x. This simplifies to 60 = 40x. Dividing both sides by 40 gives x = 1.5. Therefore, the correct answer is A. Choice B (60) is incorrect because x is not equal to 60. Choice C (0.167) is incorrect as it does not result from solving the proportion. Choice D (16) is also incorrect because x is not equal to 16.

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