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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.
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What is 20% of 2?
- A. 0.4
- B. 0.2
- C. 0.3
- D. 0.1
Correct Answer: A
Rationale: To find 20% of a number, you multiply the number by 0.20. In this case, 0.20 * 2 = 0.4. Therefore, 0.4 is 20% of 2. Choice A (0.4) is correct. Choice B (0.2) is incorrect because it represents 10% of 2, not 20%. Choice C (0.3) is incorrect as it is not the result of calculating 20% of 2. Choice D (0.1) is incorrect as it represents 5% of 2, not 20%.
What is the result of subtracting 2 5/8 from 7/8?
- A. 1 3/4
- B. 2
- C. 1
- D. 2 & 1/2
Correct Answer: A
Rationale: To subtract 2 5/8 from 7/8, first, convert 7/8 to an equivalent fraction with the same denominator as 2 5/8, which is 8. 7/8 equals 1 whole and 1/8. Subtracting 1 whole from 2 whole results in 1 whole, and subtracting 1/8 from 5/8 gives 4/8 or 1/2. Therefore, the answer is 1 1/2, which simplifies to 1 3/4. Choice B, 2, is incorrect as it doesn't represent the correct result of the subtraction. Choice C, 1, is incorrect as it doesn't account for the fractional part of the answer. Choice D, 2 & 1/2, is incorrect as it doesn't match the calculated result of 1 3/4.
A hospital receives a shipment of vitamin tablets. The hospital ordered 6,000 tablets, but the shipment included 1/5 more tablets than the hospital ordered. How many tablets were in the shipment?
- A. 7,200 tablets
- B. 5,000 tablets
- C. 6,500 tablets
- D. 8,000 tablets
Correct Answer: A
Rationale: To find the total tablets in the shipment, first, calculate 1/5 of 6,000: 6,000 * 1/5 = 1,200. Add this to the original order: 6,000 + 1,200 = 7,200 tablets. Therefore, the shipment included 7,200 tablets. Choice B, 5,000 tablets, is incorrect because it does not account for the additional 1/5 of the original order. Choice C, 6,500 tablets, is incorrect as it only considers the original order and not the extra tablets. Choice D, 8,000 tablets, is incorrect as it overestimates the total by not considering the 1/5 more tablets included in the shipment.
A truck driver traveled 925 miles from 8 am Tuesday to 5 pm Wednesday. During that time, he stopped for 30 minutes for lunch and gas at 1 pm Tuesday. He stopped for the night at 7 pm and was back on the road at 5 am. What was his average speed?
- A. 42 mph
- B. 35 mph
- C. 30 mph
- D. 50 mph
Correct Answer: A
Rationale: To find the average speed, divide the total distance traveled (925 miles) by the total time taken (22 hours). Subtracting the time for the lunch and gas stop (30 minutes) and overnight stop (7 pm to 5 am, 10 hours), we have a total elapsed time of 22 hours. Dividing 925 miles by 22 hours gives an average speed of approximately 42 mph. Choice B, 35 mph, is incorrect because it doesn't account for the total time spent including the stops. Choice C, 30 mph, is incorrect as it underestimates the speed. Choice D, 50 mph, is incorrect as it overestimates the speed.
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.