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Change 8.08 to a fraction, reduced to the lowest terms.
- A. 8 1\12
- B. 88/1000
- C. 8 2/25
- D. 80/100
Correct Answer: C
Rationale: To change 8.08 to a fraction, we note that 8.08 = 8 + 0.08 = 8 + 8/100 = 8 8/100 = 8 2/25. Therefore, the correct answer is C. Option A is incorrect as it represents a mixed number. Option B is incorrect as it does not represent the decimal 8.08 as a fraction. Option D is incorrect as it does not reduce the fraction to the lowest terms.
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How many liters are in 35 milliliters?
- A. 3.5
- B. 0.35
- C. 0.035
- D. 350
Correct Answer: C
Rationale: To convert milliliters to liters, you divide by 1000 since there are 1000 milliliters in a liter. Therefore, 35 milliliters is equal to 35/1000 = 0.035 liters. The correct answer is option C. Remember that when converting between milliliters and liters, you are essentially changing the unit of measurement, so the numerical value changes accordingly. It's important to understand these conversion factors to work accurately with different units of volume.
What is the numerical value of the Roman numeral XVII?
- A. 22
- B. 17
- C. 48
- D. 57
Correct Answer: B
Rationale: The Roman numeral XVII represents the number 17. In Roman numerals, 'X' stands for 10, 'V' stands for 5, and 'I' stands for 1. When 'V' is placed before 'X' (V - X), it subtracts 5 from 10, resulting in 10 - 5 = 5. Adding this to the value of 'X,' which is 10, gives a total of 10 + 5 = 15. Finally, adding 'II,' which is equivalent to 2, results in a total of 15 + 2 = 17.
If the quotient of X and 12 is 4, what is the divisor?
- A. X+12
- B. X-12
- C. 4
- D. 3
Correct Answer: C
Rationale: To find the divisor when the quotient of X and 12 is 4, we use the formula for division: Dividend = Divisor x Quotient. Given that the quotient is 4 and Dividend = X, we have X = 12 x 4 = 48. Therefore, the divisor is the number that, when multiplied by 4, equals 48, which is 12. So, the correct answer is C: 4.
Choice A (X+12) is incorrect because it represents adding X and 12 together, not the divisor.
Choice B (X-12) is incorrect because it represents subtracting 12 from X, not the divisor.
Choice D (3) is incorrect because it is not related to the given information about X and the quotient being 4.
What is the result of adding 2/3 and 4/9?
- A. 1 (1/9)
- B. 1 (1/3)
- C. 2/9
- D. 10/9
Correct Answer: A
Rationale: To add 2/3 and 4/9, you need to find a common denominator. In this case, the common denominator is 9. Convert 2/3 to 6/9. Now, the addition becomes 6/9 + 4/9 = 10/9. Simplifying 10/9 gives you 1 (1/9). Therefore, the correct answer is 1 (1/9). When adding fractions, having a common denominator is essential for accurate calculation.
Convert the percentage to a decimal: 38% =
- A. 3.8
- B. 0.038
- C. 38
- D. 0.38
Correct Answer: D
Rationale: To convert a percentage to a decimal, you divide by 100. In this case, 38% is equal to 38/100 = 0.38 when converted to a decimal. Therefore, the correct answer is D.