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Seed content: Quant exponents & roots + remainders (2 lessons, 14 questions)#17

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Seed content: Quant exponents & roots + remainders (2 lessons, 14 questions)#17
DMDaudio wants to merge 2 commits into
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claude/zen-pasteur-aaocjo

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@DMDaudio DMDaudio commented Jul 22, 2026

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What does this PR add or change?

Adds two previously-uncovered but high-frequency Quant subtopic bundles.

1. Arithmetic → exponents-roots

  • 1 lesson (quant-arithmetic-exponents-roots) — power rules, negative/zero/fractional exponents, radical simplification, factoring common powers.
  • 7 problem-solving questions (00170023), easy→hard: power rules, negative/zero exponents, same-base equations, fractional exponents, radicals, factoring a sum of equal powers, ratio of powers.

2. Number Properties → remainders (new in this update)

  • 1 lesson (quant-number-properties-remainders) — the division identity (n = dq + r), combining remainders across sums and products (reduce again at the end), power cyclicity / units digits, and simultaneous-condition (lcm) problems.

  • 7 problem-solving questions (00240030) with an easy→hard progression:

    • 0024 (easy) — remainder of a sum
    • 0025 (easy) — translating quotient/remainder via (n = dq + r)
    • 0026 (medium) — remainder of a product
    • 0027 (medium) — remainder of a power via units-digit cyclicity
    • 0028 (medium) — two simultaneous remainder conditions, least value
    • 0029 (hard) — reasoning from the remainder of (n^2) back to (n)
    • 0030 (hard) — combining mod-4 and mod-6 conditions to get the remainder mod 12
  • Every question's distractors are keyed to a specific common error (e.g. forgetting the final reduction, adding remainders when the numbers are multiplied, swapping quotient/remainder, assuming (n) and (n^2) share a remainder, misreading a cycle position of 0).

  • Choice-level and body math is wrapped in \( \) / \[ \] for KaTeX rendering.

  • Rebuilt docs/data/content.json — now 46 questions, 10 lessons; node scripts/build.mjs reports zero 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

claude added 2 commits July 22, 2026 09:09
Add a new Arithmetic / exponents-roots bundle to the content bank — a
previously uncovered but high-frequency GMAT Focus Quant topic:

- 1 lesson (power rules, negative/zero/fractional exponents, radical
  simplification, factoring common powers).
- 7 problem-solving questions with an easy->hard difficulty progression,
  each with a worked explanation and hints, and distractors keyed to
  specific common errors (multiplying vs. adding exponents, merging
  unlike radicals, treating a sum of powers as a new base).

Choice-level math is wrapped in \( \) so the study site renders it via
KaTeX. Rebuilt docs/data/content.json (39 questions, 9 lessons).

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01PjmqN8j1zyySgtsg6qTbXz
Adds an under-covered subtopic (quant/number-properties/remainders):
- 1 lesson covering the division identity, combining remainders across
  sums/products, power cyclicity, and simultaneous-condition problems.
- 7 original questions (0024-0030) with an easy->hard progression, each
  with a worked explanation, two hints, and distractors keyed to specific
  common errors.
- Rebuilt docs/data/content.json (46 questions, 10 lessons; zero warnings).

All questions status: in-review; author: openmat; original; CC-BY-SA-4.0.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_013yxWoWPkgojs7Afgr6Pw6L
@DMDaudio DMDaudio changed the title Seed content: Quant exponents & roots lesson + 7 questions Seed content: Quant exponents & roots + remainders (2 lessons, 14 questions) Jul 24, 2026
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2 participants