Number series – constant decrement of 121 (11^2): 796, 675, 554, 433, ? Continue subtracting 121 each time.

Difficulty: Easy

Correct Answer: 312

Explanation:


Introduction / Context:
A fixed subtraction pattern, especially by a notable square like 121 (=11^2), is common in reasoning sets. Confirm the fixed drop and extend once more.



Given Data / Assumptions:

  • 796→675 (−121), 675→554 (−121), 554→433 (−121).


Concept / Approach:
Apply the same subtraction again.



Step-by-Step Solution:

433 − 121 = 312.


Verification / Alternative check:
Adding back 121 from 312 returns to 433, confirming consistency.



Why Other Options Are Wrong:

231, 213, 512 do not equal 433 − 121 and would break the uniform decrement.


Common Pitfalls:
Searching for changing differences where a single constant drop fits perfectly.



Final Answer:
312

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