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Ratio and Proportion: 0.6:X = 0.3:2 (Enter numeric value only.)
- A. 2
- B. 4
- C. 3
- D. 5
Correct Answer: B
Rationale: To find the value of X, we set up a proportion: 0.6/X = 0.3/2. Cross multiply to get 0.6*2 = 0.3*X. Simplify to get 1.2 = 0.3*X. Divide both sides by 0.3 to solve for X, which gives X = 4. Choice B (4) is correct. Choices A, C, and D are incorrect as they do not match the calculated value of X when solving the proportion equation.
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Round to the nearest whole number. Change the fraction to a percent: 2/9
- A. 20%
- B. 21%
- C. 23%
- D. 22%
Correct Answer: D
Rationale: To convert a fraction to a percent, divide the numerator by the denominator, then multiply by 100. For 2/9, 2 · 9 = 0.2222... Multiplying by 100 gives 22%. When rounding to the nearest whole number, 0.2222... is closer to 22% than to 21% or 23%, making the correct answer D.
Add: 11,702 + 11,509 =
- A. 23,201
- B. 22,201
- C. 23,211
- D. 22,211
Correct Answer: C
Rationale: The correct answer is C (23,211). To arrive at this answer, you add the two numbers together: 11,702 + 11,509 = 23,211. This is correct because when adding numbers, you add the digits in the same place value position, carrying over when the sum exceeds 9.
Explanation:
1. Add the ones place: 2 + 9 = 11 (write down 1, carry over 1).
2. Add the tens place: 0 + 0 (from the carried-over 1) + 0 = 0 (write down 0, no carry over).
3. Add the hundreds place: 7 + 5 (from the carried-over 1) = 12 (write down 2, carry over 1).
4. Add the thousands place: 1 + 1 (from the carried-over 1) + 1 = 3 (write down 3).
Therefore,
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.
Multiply: 1/2 x 1 3/5 x 2 7/9 =
- A. 3 11/16
- B. 2 2/9
- C. 2 21/90
- D. 20/9
Correct Answer: B
Rationale: To solve this multiplication problem, convert the mixed numbers to improper fractions: 1 3/5 = 8/5 and 2 7/9 = 25/9. Then multiply the fractions: (1/2) x (8/5) x (25/9) = 200/90, which simplifies to 20/9 or 2 2/9. Therefore, the correct answer is 2 2/9. Remember to multiply the numerators together and the denominators together when multiplying fractions.
Convert 11:32 A.M. to Military time. (Enter the numerical value only.)
- A. 1132
- B. 1232
- C. 1032
- D. 1112
Correct Answer: A
Rationale: To convert 11:32 A.M. to Military time, A.M. hours from 1:00 to 11:59 are represented with a leading zero if required. In the 24-hour clock system, 11:32 A.M. is correctly converted to 1132. The correct answer is option A, as it represents 11:32 A.M. in the correct 24-hour time format. Remember that in military time, the hours are always represented with two digits, so a leading zero is added if the hour is a single digit to maintain consistency.