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. Express the number 1906 in Roman numerals.

• A. MCMIV
• B. MCMVI
• C. MDCCCCVI
• D. MCMVII

Correct answer: B

Rationale: To convert 1906 to Roman numerals, break it down into components: 1000 (M), 900 (CM), 6 (VI), resulting in MCMVI. Therefore, the correct Roman numeral representation for 1906 is MCMVI. Choice A (MCMIV) is incorrect as it represents 1904. Choice C (MDCCCCVI) is incorrect because it uses the subtractive notation incorrectly, and it's considered nonstandard. Choice D (MCMVII) is incorrect as it represents 1907, not 1906.

3. X/4 = 9/x, solve for x.

• A. x = 6
• B. x = 3
• C. x = 9
• D. x = 2

Correct answer: A

Rationale: To solve X/4 = 9/x, cross multiply to get x^2 = 36. Taking the square root of both sides gives x = 6. Choice A is correct because x = 6 satisfies the equation x^2 = 36. Choices B, C, and D are incorrect as they do not satisfy the equation when substituted back into it.

4. Solve for x: 4x - 8 = 16.

• A. x = 7
• B. x = 7
• C. x = 4
• D. x = 6

Correct answer: D

Rationale: To solve the equation 4x - 8 = 16, first, add 8 to both sides to isolate 4x: 4x = 24. Then, divide by 4 to solve for x: x = 6. Therefore, the correct answer is D. Choice A, x = 7, is incorrect as the correct solution is x = 6. Choices B and C are duplicates of choice A and are also incorrect.

5. Jeff needed a 6 ft. rope. He found 2 pieces of rope and thought maybe he could tie them together. One rope was 40 inches and the other was 36 inches. How long would the rope be, and would he have enough rope if he ties them together?

• A. No, the rope would be 76 inches.
• B. Yes, the rope would be 76 inches.
• C. Yes, the rope would be 6 feet.
• D. No, the rope would be 6 feet.

Correct answer: B

Rationale: To convert 6 feet to inches, we multiply 6 by 12 (1 foot = 12 inches), giving us 72 inches needed. By adding the lengths of the two ropes (40 inches + 36 inches), Jeff would have a total of 76 inches, which is more than the 72 inches required. Therefore, he would have enough rope if he ties them together. Choice A and D are incorrect because they misinterpret the conversion from feet to inches. Choice C is incorrect as it does not consider the actual combined length of the two ropes.

Similar Questions