Nokea
Ratio and Proportion: 3:5 :: X:10
- A. X = 10
- B. X = 6
- C. X = 3
- D. X = 8
Correct Answer: B
Rationale: To solve the proportion, set up (3/5) = (X/10). Cross-multiply to get 3 — 10 = 5X, leading to X = 6. This means that the correct choice is B, as X is equal to 6 to maintain the same ratio as 3:5 in the original proportion.
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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.
Express 0.608 as a percent.
- A. 6.08%
- B. 0.61%
- C. 608%
- D. 60.80%
Correct Answer: D
Rationale: To convert a decimal to a percent, multiply by 100. Therefore, 0.608 — 100 = 60.8%. Thus, the correct answer is D) 60.80%.
Add: 5 1/3 + 3 1/2 =
- A. 8 2/6
- B. 9 1/4
- C. 8 2/5
- D. 8 5/6
Correct Answer: D
Rationale: To solve this problem, first convert the mixed numbers to improper fractions. 5 1/3 is equal to 16/3, and 3 1/2 is equal to 7/2. Next, find a common denominator, which in this case is 6. Convert 16/3 to 32/6 and 7/2 to 21/6. Add these fractions together: 32/6 + 21/6 = 53/6. Finally, simplify 53/6 to the mixed number 8 5/6. Therefore, the correct answer is D) 8 5/6.
Solve for x: 7:42 :: 4:x
- A. 12
- B. 48
- C. 24
- D. 16
Correct Answer: C
Rationale: To solve the analogy 7:42 :: 4:x, we first simplify the ratio 7:42 to 1:6 by dividing both numbers by 7. Maintaining the same simplification, we apply it to 4:x, resulting in 4:24. Therefore, x = 24, making choice C the correct answer as it completes the analogy.
How many ounces are equivalent to 3 gallons?
- A. 256 oz.
- B. 42 oz.
- C. 128 oz.
- D. 384 oz.
Correct Answer: D
Rationale: To convert gallons to ounces, you need to know that 1 gallon is equal to 128 ounces. Therefore, to find out how many ounces are in 3 gallons, you multiply 3 (gallons) by 128 (ounces per gallon) which equals 384 ounces. Hence, the correct answer is 384 oz.