Convert 0.75 to a ratio in simplest form.
- A. 5:07
- B. 3:04
- C. 7:05
- D. 0.09375
Correct Answer: B
Rationale: To convert 0.75 to a ratio in simplest form, we first need to express 0.75 as a fraction, which is 75/100 or 3/4. The ratio form of 3/4 is 3:4. Therefore, the correct answer is B. Choice A (5:07) is incorrect as it doesn't represent the correct ratio. Choice C (7:05) is also incorrect because it doesn't match the simplified form of 0.75. Choice D (0.09375) is incorrect as it is not in ratio form and does not represent the given decimal value correctly.
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5 ½ divided by 2 ½ =
- A. 2 3/4
- B. 2 1/5
- C. 2
- D. 2 1/2
Correct Answer: B
Rationale: Correct Answer: B (2 1/5)
Rationale: Convert mixed numbers to improper fractions: 5 ½ = 11/2, 2 ½ = 5/2. Perform division: (11/2) ÷ (5/2) = 11/2 x 2/5 = 22/10 = 2 2/10 = 2 1/5.
Summary:
A: Incorrect, as it is equivalent to 2 3/4.
C: Incorrect, as it is a whole number and doesn't represent the result of the division.
D: Incorrect, as it is the initial divisor, not the result of the division.
Round to the nearest whole number: What is 18% of 600?
- A. 108
- B. 76
- C. 254
- D. 176
Correct Answer: A
Rationale: To find 18% of 600, you multiply 600 by 0.18, which equals 108. Since we need to round to the nearest whole number, 108 is the correct answer. When rounding, if the decimal portion is 0.5 or greater, you round up; in this case, since 0.18 is less than 0.5, the answer remains 108, the nearest whole number to the calculated value.
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.
Change 0.26 to a fraction =
- A. 7/8
- B. 13/50
- C. 26/100
- D. 2 6/10
Correct Answer: B
Rationale: To convert a decimal to a fraction, place the decimal value over the place value of the last digit. In this case, 0.26 can be written as 26/100. To simplify, divide both the numerator and the denominator by their greatest common factor, which is 2. This simplifies to 13/50, making it the correct fraction equivalent of 0.26. Therefore, the correct answer is 13/50.
An office worker mails 25 envelopes to customers each day. Every envelope contains 3 reports with a paper clip on each one. The supply of paper clips is provided in boxes of 500. How many days will it take for the clerk to use up one box of paper clips? (Enter numeric value only. If rounding is required, round to the next higher whole number.)
- A. 15
- B. 20
- C. 17
- D. 25
Correct Answer: B
Rationale: To find the answer, we need to calculate the total number of paper clips used per day: 25 envelopes * 3 paper clips/envelope = 75 paper clips per day. Then, we divide the total number of paper clips in a box (500) by the number of paper clips used per day (75): 500 / 75 = 6.67. Since we can't use a fraction of a box, we round up to the next whole number, which is 7. Therefore, it will take the clerk 7 days to use up one box of paper clips. Option B (20) is incorrect as it does not align with the calculated result. Options A, C, and D are also incorrect, as they are not the result of the calculation.
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