Skip to content

Add Number Properties content: remainders lesson + 4 questions#3

Draft
DMDaudio wants to merge 1 commit into
mainfrom
claude/zen-pasteur-jhdsui
Draft

Add Number Properties content: remainders lesson + 4 questions#3
DMDaudio wants to merge 1 commit into
mainfrom
claude/zen-pasteur-jhdsui

Conversation

@DMDaudio

Copy link
Copy Markdown
Owner

What does this PR add or change?

Expands the thin Quant → Number Properties area, which previously had no lesson and only one covered subtopic (factors-multiples).

  • New lessonRemainders & Modular Thinking (quant-number-properties-remainders): the n = qd + r identity, remainder arithmetic under addition/multiplication, combining coprime conditions, and units-digit cyclicity.
  • 4 new original problem-solving questions (quant ids 0017–0020, continuing the per-section counter):
    • remainders-0017 — substitute the qd + r form (medium)
    • remainders-0018 — simultaneous remainder conditions mod 15 (hard)
    • odds-evens-signs-0019 — parity / "must be even" reasoning; opens the new odds-evens-signs subtopic (medium)
    • remainders-0020 — units digit of (7^{100}) via cyclicity (hard)
  • Rebuilt docs/data/content.json via scripts/build.mjs (36 questions, 9 lessons; no build warnings).

Type of change

  • New question(s)
  • New lesson(s)
  • Fix to existing content (answer / explanation / tag)
  • Tooling / docs / schema

Author checklist

  • This is my own original work — not copied or paraphrased from any real GMAT question or prep material.
  • Front-matter follows CONTENT_SCHEMA.md (id matches the filename; topic/subtopic exist in curriculum.md).
  • I solved every question myself and confirmed exactly one answer choice is correct.
  • Each explanation would help someone who got the question wrong, and names the trap where relevant.
  • status is in-review. I did not set my own content to verified.

For reviewers

  • I solved the question(s) without reading the keyed answer first and got the same answer.
  • Exactly one choice is correct; distractors are plausible.
  • Explanation and tags (section / topic / difficulty) are accurate.
  • If approving: bumped status to verified and added my handle to reviewers.

🤖 Generated with Claude Code


Generated by Claude Code

Expand the thin number-properties area of the Quant bank following the
curriculum taxonomy:

- New lesson: Remainders & Modular Thinking (n = qd + r, remainder
  arithmetic, combining coprime conditions, units-digit cyclicity).
- 4 original problem-solving questions (quant ids 0017-0020):
  - remainders via the qd+r form (medium)
  - simultaneous remainder conditions mod 15 (hard)
  - parity/"must be even" reasoning, new odds-evens-signs subtopic (medium)
  - units digit of 7^100 via cyclicity (hard)

Rebuilt docs/data/content.json (36 questions, 9 lessons).

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01DqKNjbxsGXYe8WkZ3yPRSC
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment

Labels

None yet

Projects

None yet

Development

Successfully merging this pull request may close these issues.

2 participants