Select the number from among the given options that can replace the question…

2022

Select the number from among the given options that can replace the question mark (?) in the following series.

9, 25, 67, 121, ?

  1. A.

    220

  2. B.

    221

  3. C.

    218

  4. D.

    219

Attempted by 32 students.

Show answer & explanation

Correct answer: B

The series follows the pattern: n^3 + adjustment, where the adjustment alternates in sign and increments by 1.
2^3 + 1 = 8 + 1 = 9  
3^3 - 2 = 27 - 2 = 25  
4^3 + 3 = 64 + 3 = 67  
5^3 - 4 = 125 - 4 = 121  
6^3 + 5 = 216 + 5 = 221
Final Answer: Option 2

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