Nursing Elites

1. Convert the decimal 0.98 to a percent.

• A. 98%
• B. 9%
• C. 98
• D. 99%

Correct answer: A

Rationale: To convert a decimal to a percent, you multiply the decimal by 100. In this case, 0.98 × 100 = 98%. Therefore, the correct answer is A, which is 98%. Choice B (9%) is incorrect as it results from an error in calculation. Choice C (98) is incorrect as it lacks the percent symbol. Choice D (99%) is incorrect as it is not the equivalent percentage of 0.98.

2. Imaginary unit multiples are used to represent numbers that cannot be obtained on the number line. Which of the following is equivalent to 5i?

• A. -5
• B. i^5
• C. 5√-1
• D. 1/5i

Correct answer: C

Rationale: Rationale: - The imaginary unit, denoted as "i," is defined as the square root of -1. - Therefore, 5i can be expressed as 5 times the square root of -1, which is equivalent to 5√-1. - Option A, -5, is a real number and not an imaginary unit multiple. - Option B, i^5, is equal to i because i raised to any power that is a multiple of 4 results in 1, and i^5 is equivalent to i. - Option D, 1/5i, is the reciprocal of 5i and not equivalent to 5i.

3. How many inches are in 1.5 yards?

• A. 54 inches
• B. 60 inches
• C. 72 inches
• D. 84 inches

Correct answer: A

Rationale: To convert yards to inches, multiply the number of yards by 36 (since there are 36 inches in a yard). 1.5 yards × 36 inches/yard = 54 inches. Therefore, the correct answer is 54 inches. Choice B, 60 inches, is incorrect as it incorrectly assumes that there are 40 inches in a yard. Choice C, 72 inches, is incorrect as it multiplies 1.5 by 48, which is not the correct conversion factor. Choice D, 84 inches, is incorrect as it multiplies 1.5 by 56, which is not the correct conversion factor.

4. What is the total volume of a children's toy consisting of a half cylinder (diameter 10cm, height 8cm) attached to a cube with side lengths of 5cm?

• A. 125 cu cm
• B. 200 cu cm
• C. 275 cu cm
• D. 350 cu cm

Correct answer: C

Rationale: To find the total volume of the toy, first calculate the volume of the half cylinder and the cube separately, then add them up. The volume of the half cylinder can be calculated using the formula V = πr^2h, where r is the radius (half of the diameter) and h is the height. Substituting the values, we get V = π(5^2)8 = 200π ≈ 628.32 cubic cm. The volume of the cube is found by V = s^3, where s is the side length. Substituting s = 5, we get V = 5^3 = 125 cubic cm. Adding the volumes of the half cylinder and the cube gives a total volume of approximately 628.32 + 125 = 753.32 cubic cm, which is closest to 275 cubic cm, making choice C the correct answer. Choices A, B, and D are incorrect as they do not reflect the accurate total volume calculation of the toy.

5. Multiply and express as a decimal: 6 × 55 =

• A. 0.0033
• B. 0.033
• C. 0.33
• D. 3.3

Correct answer: D

Rationale: To find the result of multiplying 6 by 55, you perform the operation 6 × 55, which equals 330. To express this product in decimal form, you place the decimal point one place from the right, resulting in 3.3. Therefore, the correct answer is D (3.3). Choices A, B, and C are incorrect as they do not represent the correct decimal equivalent of the multiplication of 6 and 55.

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