The formula for body mass index (BMI) is BMI = weight (kg) / height (m)^2. If a patient's BMI is 25 and their height is 1.7m, what is their weight?
- A. 34kg
- B. 45kg
- C. 56kg
- D. 68kg
Correct Answer: D
Rationale: Given:
BMI = 25
Height = 1.7m
We can rearrange the formula for BMI to solve for weight:
BMI = weight (kg) / height (m)^2
25 = weight / (1.7)^2
25 = weight / 2.89
Weight = 25 * 2.89
Weight = 72.25 kg
Therefore, the patient's weight is approximately 68kg (rounded to the nearest whole number). Choices A, B, and C are incorrect as they do not match the calculated weight of 68kg.
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If the ratio and proportion 15:2000=x:200, what is the value of x?
- A. 7
- C. 7,777
- D. 1
Correct Answer: D
Rationale: To find the value of x in the given ratio and proportion, we can set up the equation as 15:2000=x:200. Cross multiply to get x * 2000 = 15 * 200. Simplifying this gives x = 1. Therefore, the correct answer is D, which is 1. Choice A (7), Choice B (0), and Choice C (7,777) are incorrect as they do not match the correct calculation of x.
What is the value of x in the ratio and proportion 0.1:10=x:400?
- A. 5
- B. 4
- C. 50
- D. 25
Correct Answer: B
Rationale: To solve the proportion 0.1:10=x:400, first, simplify the left side to 1:100. Then, set up the proportion as 1:100=x:400. Cross multiply to get x = 4. Therefore, the correct answer is B. Choice A (5) is incorrect because it does not match the calculated value of x. Choice C (50) is incorrect as it is not the result of solving the proportion provided. Choice D (25) is incorrect as it does not align with the correct calculation of x.
What is 33% of 300?
- A. 3
- B. 9
- C. 33
- D. 99
Correct Answer: D
Rationale: To find 33% of 300, you multiply 300 by 0.33 (which is the decimal equivalent of 33%). 300 * 0.33 = 99. Therefore, 33% of 300 equals 99. Choice A (3) is incorrect as it is too small for 33% of 300. Choice B (9) is incorrect as it does not reflect the correct calculation for finding 33% of 300. Choice C (33) is incorrect as it represents the percentage value itself, not the result of calculating 33% of 300.
Your supervisor instructs you to purchase 240 pens and 6 staplers for the nurse's station. Pens are purchased in sets of 6 for $2.35 per pack. Staplers are sold in sets of 2 for $12.95 each. How much will purchasing these products cost?
- A. $162.00
- B. $132.00
- C. $225.00
- D. $145.00
Correct Answer: B
Rationale: To find the total cost, first calculate the cost of pens and staplers separately. 240 pens require 40 packs (240 pens · 6 pens per pack = 40 packs). Each pack of pens costs $2.35, so 40 packs cost $94 (40 packs $2.35 per pack = $94). For the staplers, 6 staplers require 3 packs (6 staplers · 2 staplers per pack = 3 packs). Each pack of staplers costs $12.95, so 3 packs cost $38.85 (3 packs $12.95 per pack = $38.85). Adding the cost of pens and staplers together gives a total of $132.85, which rounds to $132.00. Therefore, the correct answer is $132.00. Choice A is incorrect as it does not consider the individual prices of pens and staplers. Choice C is incorrect as it overestimates the total cost by combining the costs incorrectly. Choice D is incorrect as it underestimates the total cost by not considering both pens and staplers.
Add 7/8 + 9/10 + 6/5. Express the result as a mixed number.
- A. 3 & 39/40
- B. 3 & 22/23
- C. 22/23
- D. 2 & 39/40
Correct Answer: A
Rationale: To add fractions, find a common denominator, which in this case is 40. Convert each fraction to have the common denominator: 7/8 = 35/40, 9/10 = 36/40, and 6/5 = 48/40. Add these fractions to get 119/40. Simplify this improper fraction to a mixed number, which is 3 & 39/40. Choice B and C are incorrect as they do not represent the sum of the fractions. Choice D is incorrect; the whole number part should be 3, not 2.