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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