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Example 8: Cube offset number analogy

Last Updated On: Sat Aug 29 2026

Given Data

  1. Analogy pair given: 3 : 26 :: 5 : ?

Question

Determine the missing number in the analogy.

Answer

124.

Solution

  1. Analyze the operation linking 3 to 26:
  2. 3^3 - 1 = 27 - 1 = 26.
  3. Relationship rule: Second term = (First term)^3 - 1.
  4. Apply the same rule to 5:
  5. 5^3 - 1 = 125 - 1 = 124.
  6. Therefore, the missing number is 124.
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