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Change 1/10 to a decimal.
- A. 0.001
- B. 0.1
- C. 0.01
- D. 0.0001
Correct Answer: B
Rationale: To change 1/10 to a decimal, divide the numerator (1) by the denominator (10). So, 1 ÷ 10 = 0.1. The correct answer is B (0.1). A (0.001), C (0.01), and D (0.0001) are incorrect as they do not represent the decimal equivalent of 1/10. A is 100 times smaller, C is 10 times smaller, and D is 1,000 times smaller than the correct answer.
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Ratio and Proportion: 3: X = 5: 800. What is X? (Enter numeric value only.)
- A. 43.64
- B. 50
- C. 48.5
- D. 60
Correct Answer: A
Rationale: To find the value of X in the given ratio, set up the proportion: (3/X) = (5/800). Cross-multiply to solve for X: 3 — 800 = 5X. This simplifies to 2400 = 5X. Dividing both sides by 5 gives X = 2400/5 = 480. Therefore, the correct answer is A) 43.64.
If a reader reads 5 pages a day in a book that has 1,025 pages, how many days will it take the reader to finish the book? (Enter a numeric value only.)
- A. 205
- B. 210
- C. 200
- D. 215
Correct Answer: A
Rationale: To determine the number of days needed to finish the book, divide the total number of pages in the book (1,025) by the number of pages read per day (5): 1,025 · 5 = 205. It will take 205 days for the reader to finish the book by reading 5 pages per day. Therefore, the correct answer is A) 205.
Compare the relationships of these numbers: 0.045 is ______ to 0.054.
- A. less than
- B. greater than
- C. equal to
- D. not comparable
Correct Answer: A
Rationale: When comparing decimal numbers like 0.045 and 0.054, we look at their values. In this case, 0.045 is smaller than 0.054 because in decimal numbers, a larger number signifies a greater value. Therefore, the correct relationship between 0.045 and 0.054 is 'less than'. In this context, 'less than' accurately describes the relationship between the two numbers, with 0.045 being smaller than 0.054.
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.
Subtract 7 7/10 - 3 4/5 =
- A. 4 1/10
- B. 11 1/2
- C. 4 3/5
- D. 3 9/10
Correct Answer: D
Rationale: To subtract mixed numbers, you need to convert them to improper fractions. So, 7 7/10 = 77/10 and 3 4/5 = 19/5. Subtracting these fractions, you get 77/10 - 19/5 = 77/10 - 38/10 = 39/10. Converting 39/10 back to a mixed number, you get 3 & 9/10, which is the correct answer.