Nokea
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.
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Fred's rule for computing an infant's dose of medication is: infant's dose = (Child's age in months x adult dose) / 150. If the adult dose of medication is 15 mg, how much should be given to a 2-year-old child?
- A. 2.4 mg
- B. 3
- C. 48 mg
- D. 1
Correct Answer: A
Rationale: To calculate the dose for a 2-year-old child using Fred's rule, we substitute the child's age (24 months) and the adult dose (15 mg) into the formula: (24 x 15) / 150 = 2.4 mg. Therefore, the correct answer is A, representing 2.4 mg for a 2-year-old child. Choice B is incorrect as it does not match the calculated dose. Choice C is incorrect as it does not consider the formula provided. Choice D is incorrect as it does not reflect the correct calculation based on the given information.
Solve for x: 3x - 5 = 10
- A. x = 5
- B. x = 10
- C. x = 15
- D. x = 20
Correct Answer: A
Rationale: To solve the equation 3x - 5 = 10, start by isolating x. Add 5 to both sides of the equation to get 3x = 15. Then, divide by 3 on both sides to find x = 5. Therefore, the correct answer is x = 5. Choice B, x = 10, is incorrect because adding 5 to 10 does not yield 10. Choice C, x = 15, is incorrect as adding 5 to 15 does not equal 10. Choice D, x = 20, is incorrect because adding 5 to 20 does not result in 10.
You have orders to administer 20 mg of a certain medication to a patient. The medication is stored at a concentration of 4 mg per 5-mL dose. How many milliliters will need to be administered?
- A. 30 mL
- B. 25 mL
- C. 20 mL
- D. 15 mL
Correct Answer: B
Rationale: To administer 20 mg of the medication, you would need 25 mL. This calculation is derived from the concentration of 4 mg per 5 mL. By setting up a proportion, you can determine that for 20 mg, 25 mL must be administered as follows: (20 mg / 4 mg) = (x mL / 5 mL). Solving for x results in x = 25 mL. Choice A is incorrect because it miscalculates the proportion. Choices C and D are incorrect as they do not account for the correct concentration of the medication.
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.
Reduce 5 & 3/4 divided by 1/2.
- A. 5 & 1/2
- B. 2 & 3/8
- C. 18
- D. 11 & 1/2
Correct Answer: D
Rationale: To divide mixed numbers, convert them to improper fractions. 5 & 3/4 = 23/4 and 1/2 = 2/1. So, 23/4 · 2/1 = 23/4 * 1/2 = 23/8 = 2 & 7/8. Therefore, 5 & 3/4 divided by 1/2 reduces to 11 & 1/2. Choices A, B, and C are incorrect because they do not represent the correct result of dividing 5 & 3/4 by 1/2.