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If a person reads two chapters a day, each with 6 pages, and there are a total of 798 pages, how many days will it take to finish reading?
- A. 133 days
- B. 399 days
- C. 66 1/2 days
- D. 75 1/2 days
Correct Answer: C
Rationale: To determine the number of days required to finish reading the book, divide the total number of pages (798) by the number of pages read per day, which is 2 chapters x 6 pages = 12 pages per day. Therefore, 798 pages · 12 pages per day = 66.5 days. It will take approximately 66 1/2 days to complete reading the book at this pace.
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Ratio and Proportion: 450:15::225:X
- A. X=15
- B. X=75
- C. X=30
- D. X=60
Correct Answer: C
Rationale: To find X in the proportion 450:15::225:X, we need to set up a ratio equation. The ratio 450:15 simplifies to 30:1 (by dividing both sides by 15). So, the proportion becomes 30:1::225:X. To find X, we cross multiply: 30 * X = 225 * 1. Solving for X, we get X = 225/30 = 7.5. Therefore, the correct answer is C: X=30.
Rationale:
A) X=15 is incorrect because it does not follow the ratio relationship.
B) X=75 is incorrect as it is not the result of the ratio calculation.
D) X=60 is incorrect because it does not align with the correct ratio computation.
What is the result of adding 1/4 + 3/8?
- A. 4/12
- B. 1/3
- C. 5/8
- D. 1/2
Correct Answer: C
Rationale: To add fractions, a common denominator is needed. In this case, the common denominator is 8. Converting 1/4 to have the same denominator results in 2/8. Adding 2/8 + 3/8 gives 5/8. Thus, the correct answer is 5/8.
A salesman needs to sell 63 items to make his monthly goal. There are eighteen selling days left in the month. What is the average number of items he needs to sell daily to reach his goal?
- A. 4
- B. 3.5
- C. 7
- D. 8.5
Correct Answer: B
Rationale: Correct Answer: B (3.5)
Rationale:
1. 63 items to be sold in 18 days.
2. Calculate average items per day: 63 items ÷ 18 days = 3.5 items/day.
3. Hence, the salesman needs to sell 3.5 items daily to reach his goal.
Summary:
- Choice A (4): Incorrect, as the actual average is 3.5 items/day.
- Choice C (7): Incorrect, as it is double the correct average.
- Choice D (8.5): Incorrect, as it is more than double the correct average.
A young adult is running a 24-mile course. If they run the first 6 miles in 1 hour, the second 6 miles in 1.2 hours, the third 6 miles in 1.5 hours, and the fourth 6 miles in 1.6 hours, how long will it take them to complete the run? (Round to the nearest tenth.)
- A. 5.3
- B. 5.6
- C. 5.8
- D. 6
Correct Answer: A
Rationale: To find the total time taken to complete the 24-mile run, add the times for each segment: 1 + 1.2 + 1.5 + 1.6 = 5.3 hours. Therefore, it will take them 5.3 hours to finish the 24-mile course. The correct answer is A, 5.3 hours.
If 5 is to 30 as X is to 1, find the value of X. (Round to the nearest tenth.)
- A. 6
- B. 5.5
- C. 5
- D. 4.5
Correct Answer: A
Rationale: To find the value of X, set up a proportion: 5/30 = X/1. Cross-multiply to get 5 = 30X. Divide both sides by 30, which gives X = 5/30 = 0.1667. When rounded to the nearest tenth, X is 0.2, which is equivalent to 6 when rounded to a whole number. Therefore, the value of X is 6.