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Select the option that can replace the q...

Select the option that can replace the question mark (?) and complete the given series.
8, 27, 64, 125, ?

A

225

B

144

C

121

D

216

Text Solution

AI Generated Solution

The correct Answer is:
To solve the series 8, 27, 64, 125, we need to identify the pattern in the numbers. ### Step-by-Step Solution: 1. **Identify the Numbers**: The given series is 8, 27, 64, 125. 2. **Recognize the Pattern**: Each number in the series can be expressed as a cube of an integer: - \(8 = 2^3\) - \(27 = 3^3\) - \(64 = 4^3\) - \(125 = 5^3\) 3. **Continue the Pattern**: Following the pattern, the next number should be the cube of the next integer: - The next integer after 5 is 6. - Therefore, we calculate \(6^3\). 4. **Calculate \(6^3\)**: \[ 6^3 = 6 \times 6 \times 6 = 216 \] 5. **Conclusion**: The next number in the series is 216. ### Final Answer: The option that can replace the question mark (?) is **216**. ---
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