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What is the ratio of the average of first eight prime numbers to the average of first ten even natural numbers?
7 : 8
1 : 7
7 : 80
8 : 70
- First, identify the first eight prime numbers: 2, 3, 5, 7, 11, 13, 17, and 19.
- Calculate their average: (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19) / 8 = 9.625.
- Identify the first ten even natural numbers: 2, 4, 6, 8, 10, 12, 14, 16, 18, and 20.
- Calculate their average: (2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20) / 10 = 11.
- Find the ratio of these averages: 9.625 : 11.
- Simplify the ratio: Multiply by 8 to clear decimals results in 77 : 88.
- Simplify further: Divide by 11, getting 7 : 8.
- Option 1: 7 : 8 - Correct, matches the simplified ratio.
- Option 2: 1 : 7 - Incorrect calculation.
- Option 3: 7 : 80 - Incorrect calculation.
- Option 4: 8 : 70 - Incorrect calculation.
By: santosh ProfileResourcesReport error
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