Nokea
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.
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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.
What is the sum of 9.98 and 0.065?
- A. 10.63
- B. 10.045
- C. 1.0063
- D. 998.065
Correct Answer: B
Rationale: To find the sum of 9.98 and 0.065, you need to add them together. When you add 9.98 and 0.065, the result is 10.045. Therefore, the correct answer is B, 10.045. Remember to pay attention to the decimal points when adding numbers to ensure accuracy. In this case, the sum involves adding a number with three decimal places to a number with two decimal places, so align the decimals and carry out the addition accurately to get the correct sum.
What is 5 & 3/4 divided by 1/2 when reduced?
- A. 5 & 1/2
- B. 2 & 3/8
- C. 11 & 1/2
- D. 18
Correct Answer: C
Rationale: To divide a mixed number by a fraction, first convert the mixed number to an improper fraction. 5 & 3/4 as an improper fraction is 23/4. Next, invert the divisor to find its reciprocal, making it 2/1. Now, multiply the dividend by the reciprocal: (23/4) · (2/1) = (23/4) * (1/2) = 23/8 = 2 & 7/8. This result as a mixed number is 11 & 1/2, which is the correct answer. Therefore, the correct answer is 11 & 1/2.
Which of the following numbers is the largest?
- A. 0.6
- B. 0.0688
- C. 0.667
- D. 0.68
Correct Answer: D
Rationale: To determine the largest number, compare the decimal parts individually. Among the given options, 0.6 is smaller than 0.68, 0.0688 is smaller than both 0.6 and 0.68, and 0.667 is smaller than 0.68. Therefore, 0.68 is the largest number among the options provided.
What is the result of adding 6 3/4 and 8 1/6?
- A. 14 11/12
- B. 12 3/24
- C. 35/6
- D. 14 2/5
Correct Answer: A
Rationale: To add mixed numbers, convert them to improper fractions. 6 3/4 = 27/4 and 8 1/6 = 49/6. Find a common denominator, which is 12. Add the fractions: 27/4 + 49/6 = 81/12 + 98/12 = 179/12. Convert the improper fraction back to a mixed number: 179/12 = 14 11/12. Therefore, the correct result of adding 6 3/4 and 8 1/6 is 14 11/12. The sum of the two mixed numbers is expressed as 14 11/12.