Daily puzzle · 2026-11-04 · Modular Arithmetic

Mathbound Daily Puzzle — 2026-11-04 — Modular Arithmetic Solution

Level 2

Compute 25 mod 72^{5}\bmod 7.
  1. A.6
  2. B.0
  3. C.4
  4. D.2
  5. E.5

Answer: C

Key idea: Successive squaring / cycles.

Set it up: Reduce powers modulo 7.

Solution: 44.

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Mathbound Daily Puzzle — 2026-11-04 — Modular Arithmetic Solution