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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.
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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.
How many milliliters are in 1 liter?
- A. 100 mL
- B. 1,000 mL
- C. 500 mL
- D. 50 mL
Correct Answer: B
Rationale: There are 1,000 milliliters in 1 liter. The prefix 'milli-' means one-thousandth, so when converting from liters to milliliters, you multiply by 1,000. Therefore, the correct answer is 1,000 mL. Choice A (100 mL) is incorrect as it represents one-tenth of the correct conversion. Choice C (500 mL) is incorrect as it is half of the correct conversion. Choice D (50 mL) is incorrect as it is one-twentieth of the correct conversion.
Edie has 132 tulip bulbs. She wants to plant all of the tulip bulbs in 12 rows. How many bulbs should she plant in each row?
- A. 11 bulbs
- B. 10 bulbs
- C. 12 bulbs
- D. 15 bulbs
Correct Answer: A
Rationale: To plant 132 bulbs in 12 rows, Edie should plant 11 bulbs in each row. This is calculated by dividing the total number of bulbs by the number of rows: 132 bulbs · 12 rows = 11 bulbs per row. Choice B, 10 bulbs, is incorrect because dividing 132 bulbs by 12 rows does not equal 10. Choice C, 12 bulbs, is incorrect because if Edie plants 12 bulbs in each row, the total number of bulbs planted would exceed 132. Choice D, 15 bulbs, is incorrect as dividing 132 bulbs by 12 rows does not result in 15 bulbs per row.
A physician wants to prescribe 5 mg of a medication to a patient. The medication comes in a 2-mg dose per 1-mL vial. How many milliliters of the medication should the patient receive?
- A. 2.5 mL
- B. 2 mL
- C. 3 mL
- D. 1 mL
Correct Answer: A
Rationale: To determine the amount of medication the patient should receive, divide the prescribed dose by the dose per mL in the vial. In this case, 5 mg · 2 mg/mL = 2.5 mL. Therefore, the patient should receive 2.5 mL of the medication. Choice B (2 mL) is incorrect because it does not reflect the correct calculation. Choice C (3 mL) is incorrect as it is higher than the actual amount calculated. Choice D (1 mL) is incorrect as it is lower than the actual amount calculated.
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.