Nursing Elites

1. How many more yellow balls must be added to the basket to make the yellow balls constitute 65% of the total number of balls?

• A. 35
• B. 50
• C. 65
• D. 70

Correct answer: B

Rationale: To find the total number of balls needed to make the yellow balls 65% of the total, let x be the total number of balls required. Initially, there are 15 yellow balls. The total number of balls would be 15 + x after adding more yellow balls. The equation to represent this is: (15 + x) / (15 + x) = 0.65 (since the yellow balls need to constitute 65% of the total). Solving this equation gives x = 50, indicating that 50 more yellow balls need to be added to the basket to reach the desired percentage. Choice A, C, and D are incorrect as they do not accurately represent the additional yellow balls needed to achieve the specified percentage.

2. A plan for a barn is drawn on a 1:30 scale. If the width of a barn door on the plan measures 3 inches, what is the actual width of the finished door?

• A. 90 inches
• B. 10 feet
• C. 9 feet
• D. 7.5 feet

Correct answer: B

Rationale: The scale of 1:30 means that 1 inch on the plan represents 30 inches in actual size. If the width of the barn door on the plan is 3 inches, the actual width is calculated by multiplying 3 inches by the scale factor (30), giving 90 inches. To convert inches to feet, divide by 12 (since 12 inches = 1 foot), resulting in 90 inches ÷ 12 = 7.5 feet. Therefore, the correct answer is 10 feet (option B), not 7.5 feet. Option A (90 inches) is the result before converting to feet, option C (9 feet) is the incorrect conversion if the initial calculation was done correctly, and option D (7.5 feet) is the incorrect conversion of the initial calculation.

3. 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.

4. Farmer Juan finds that it takes 2 chickens to produce 6 eggs in 24 hours. How many chickens are needed to produce 24 eggs in 24 hours?

• A. 48
• B. 18
• C. 8
• D. 6

Correct answer: C

Rationale: If 2 chickens produce 6 eggs in 24 hours, to produce 24 eggs in the same time frame, you would need 8 chickens. Therefore, Choice C is correct. Choice A (48) is incorrect because it miscalculates the number of chickens required. Choice B (18) is incorrect as it does not consider the proportional relationship between chickens and eggs. Choice D (6) is incorrect as it doesn't account for the increased number of eggs.

5. What is the result of the addition: 34 + 4 + 234?

• A. 70.2
• B. 230.72
• C. 234.74
• D. 272

Correct answer: D

Rationale: Adding the given numbers together: 34 + 4 + 234 = 272. The correct sum is 272. Choice A, 70.2, is incorrect as it does not reflect the accurate addition of the numbers. Choice B, 230.72, is incorrect as well. Choice C, 234.74, is also incorrect since the correct sum is 272, not 234.74.

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