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Daily puzzle · 2026-10-27 · Modular Arithmetic

Mathbound Daily Puzzle — 2026-10-27 — Modular Arithmetic Solution

Level 2

How many positive integers n≤50n\le 50 satisfy n≡3(mod7)n\equiv 3\pmod{7}?
  1. A.8
  2. B.10
  3. C.6
  4. D.7
  5. E.9

Answer: D

Key idea: Arithmetic progression.

Set it up: First 3, step 7.

Solution: 77.

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Mathbound Daily Puzzle — 2026-10-27 — Modular Arithmetic Solution