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Select the option that is related to the third term in the same way as the second term is related to the first term and sixth term is
related to fifth term.
2 : 9 :: 9 : ? :: 6 : 217
730
28
513
82
- The relationship between 2 and 9 can be expressed as 2^3 + 1 = 9.
- We need to find a similar relationship for 9. Using the same operation, 9 would be 9^2 + 1 = 82.
- For 6 and 217, check the same operation: 6^3 + 1 = 217.
- Therefore, we need to find the number when squared that, when 1 is added, equals the relationship term.
- Options provided:
- 1. 730: Not applicable, as 9^3 + 1 = 730 does not fit the pattern for the second statement.
- 2. 28: Not applicable.
- 3. 513: Similar formation: (9^3 = 729), but 729 + 1 does not give 513.
- 4. 82: 9^2 + 1 = 81 + 1 = 82. This fits the logic.
So, the correct option is 82.
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