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Official Curriculum & AI Taxonomy Guide
Mathematics Compulsory Common Mathematics (अनिवार्य सामान्य गणित (सेक्शन A1))
Deterministic two-level syllabus taxonomy (Subjects ➔ Chapters/Units + AI Keywords) with historical PYQ weightage and board examination patterns. Version: V1.
Select Subject / Discipline:
All Subjects (Complete Syllabus)
अनिवार्य सामान्य गणित (सेक्शन A1)
संबंध एवं फलन (कोर गणित)
बीजगणित: आव्यूह एवं सारणिक (कोर गणित)
कलन: अवकलन एवं समाकलन (कोर गणित)
सदिश एवं त्रिविमीय ज्यामिति (कोर गणित)
रैखिक प्रोग्रामन (कोर गणित)
प्रायिकता (कोर गणित)
संख्याएं, परिमाणीकरण एवं संख्यात्मक अनुप्रयोग (एप्लाइड)
बीजगणित: आव्यूह एवं सारणिक (एप्लाइड)
कलन एवं इसके आर्थिक अनुप्रयोग (एप्लाइड)
प्रायिकता बंटन (एप्लाइड)
काल श्रेणी विश्लेषण (एप्लाइड)
आनुमानिक सांख्यिकी एवं परीक्षण (एप्लाइड)
वित्तीय गणित (एप्लाइड)
रैखिक प्रोग्रामन निर्माण एवं हल (एप्लाइड)
⚙️ Exam Evaluation Pattern & Marking Scheme
Total Questions
100
Total Marks
300
Correct Answer
+3
Negative Marking
-1/3
Option Format: 5 Options (5th Option Mandatory: 'अनुत्तरित प्रश्न')
🤖 AI Extractor Directives & Mapping Rules
## Instructions for AI Question Extractor & Taxonomy Mapper
When extracting questions and generating Schema v2.0 JSON packages, the AI model MUST strictly adhere to the following deterministic taxonomy protocol:
### 1. Deterministic Ground-Truth ID Assignment
Every extracted question MUST be mapped using the exact database integer IDs from this specification:
- `subject_id`: Integer ID of the Part / Section (e.g., `64` for General Hindi).
- `subject_name`: Canonical title of the Part (e.g., `सामान्य हिन्दी`).
- `subject_slug`: Canonical slug of the Part (e.g., `general-hindi`).
- `chapter_id`: Integer ID from the **Topic ID** column (e.g., `451`).
- `chapter_name`: Canonical title from the **Topic Name** column.
- `chapter_slug`: Slug from the **Topic Slug** column.
- `subtopic_id`: Integer ID from the **Subtopics (Level 3)** column if an atomic subtopic matches, otherwise `null`.
- `subtopic_name`: Subtopic title if mapped, otherwise `null`.
- `subtopic_slug`: Subtopic slug if mapped, otherwise `null`.
- `key_concept`: The specific atomic concept tested by the question (e.g., 'वृद्धि स्वर संधि', 'नागौरी गाय की विशेषताएं', 'अमोनियम सल्फेट में नत्रजन प्रतिशत').
### 2. JSON Mapping Target Schema
```json
{
"subject_id": 64,
"subject_name": "सामान्य हिन्दी",
"subject_slug": "general-hindi",
"chapter_id": 451,
"chapter_name": "संधि एवं संधि-विच्छेद",
"chapter_slug": "sandhi",
"subtopic_id": null,
"subtopic_name": null,
"subtopic_slug": null,
"key_concept": "वृद्धि स्वर संधि",
"question_type": "mcq_single"
}
```
### 3. Core Extraction Rules
- **Strict Section Boundary Isolation**: Respect examination paper sections. Map Hindi questions strictly to Subject ID 64, Rajasthan GK questions to Subject ID 34, Agronomy questions to Subject ID 74, Horticulture to Subject ID 75, and Animal Husbandry to Subject ID 65. Never cross-map questions across disciplines.
- **Strict Canonical Hierarchy**: Map every question extracted from papers for this examination strictly to one of the canonical Units/Chapters listed in the tables below. Do not fabricate or invent new chapter names or IDs.
- **Question Format Auto-Detection**: Identify and classify the question format strictly:
- Standard 4 or 5 options with 1 correct key: `mcq_single`
- Contains Statement I and Statement II or multiple statements: `statement`
- Contains List I and List II or matching columns: `match_list`
- Requires chronological arrangement or step sequence: `chronological_order`
- Contains Assertion (A) and Reason (R): `assertion_reason`
- **Semantic Keyword Anchors**: Use the 'AI Recognition Keywords' listed in the tables as primary semantic triggers. Matching question stems and option terminologies against these keywords provides high-confidence taxonomy assignment.
- **Out of Syllabus Preservation**: If an extracted historical PYQ belongs to a topic marked with `[OUT_OF_SYLLABUS]`, map it to that designated unit and flag `is_out_of_current = 1`. This preserves year-on-year historical practice.
- **Bilingual Terminology**: Ensure both Hindi (Devanagari) and English scientific terms are recognized according to the bilingual titles and keyword lists provided.
When extracting questions and generating Schema v2.0 JSON packages, the AI model MUST strictly adhere to the following deterministic taxonomy protocol:
### 1. Deterministic Ground-Truth ID Assignment
Every extracted question MUST be mapped using the exact database integer IDs from this specification:
- `subject_id`: Integer ID of the Part / Section (e.g., `64` for General Hindi).
- `subject_name`: Canonical title of the Part (e.g., `सामान्य हिन्दी`).
- `subject_slug`: Canonical slug of the Part (e.g., `general-hindi`).
- `chapter_id`: Integer ID from the **Topic ID** column (e.g., `451`).
- `chapter_name`: Canonical title from the **Topic Name** column.
- `chapter_slug`: Slug from the **Topic Slug** column.
- `subtopic_id`: Integer ID from the **Subtopics (Level 3)** column if an atomic subtopic matches, otherwise `null`.
- `subtopic_name`: Subtopic title if mapped, otherwise `null`.
- `subtopic_slug`: Subtopic slug if mapped, otherwise `null`.
- `key_concept`: The specific atomic concept tested by the question (e.g., 'वृद्धि स्वर संधि', 'नागौरी गाय की विशेषताएं', 'अमोनियम सल्फेट में नत्रजन प्रतिशत').
### 2. JSON Mapping Target Schema
```json
{
"subject_id": 64,
"subject_name": "सामान्य हिन्दी",
"subject_slug": "general-hindi",
"chapter_id": 451,
"chapter_name": "संधि एवं संधि-विच्छेद",
"chapter_slug": "sandhi",
"subtopic_id": null,
"subtopic_name": null,
"subtopic_slug": null,
"key_concept": "वृद्धि स्वर संधि",
"question_type": "mcq_single"
}
```
### 3. Core Extraction Rules
- **Strict Section Boundary Isolation**: Respect examination paper sections. Map Hindi questions strictly to Subject ID 64, Rajasthan GK questions to Subject ID 34, Agronomy questions to Subject ID 74, Horticulture to Subject ID 75, and Animal Husbandry to Subject ID 65. Never cross-map questions across disciplines.
- **Strict Canonical Hierarchy**: Map every question extracted from papers for this examination strictly to one of the canonical Units/Chapters listed in the tables below. Do not fabricate or invent new chapter names or IDs.
- **Question Format Auto-Detection**: Identify and classify the question format strictly:
- Standard 4 or 5 options with 1 correct key: `mcq_single`
- Contains Statement I and Statement II or multiple statements: `statement`
- Contains List I and List II or matching columns: `match_list`
- Requires chronological arrangement or step sequence: `chronological_order`
- Contains Assertion (A) and Reason (R): `assertion_reason`
- **Semantic Keyword Anchors**: Use the 'AI Recognition Keywords' listed in the tables as primary semantic triggers. Matching question stems and option terminologies against these keywords provides high-confidence taxonomy assignment.
- **Out of Syllabus Preservation**: If an extracted historical PYQ belongs to a topic marked with `[OUT_OF_SYLLABUS]`, map it to that designated unit and flag `is_out_of_current = 1`. This preserves year-on-year historical practice.
- **Bilingual Terminology**: Ensure both Hindi (Devanagari) and English scientific terms are recognized according to the bilingual titles and keyword lists provided.
Curriculum Units & AI Recognition Dictionary
अनिवार्य सामान्य गणित (सेक्शन A1) (Compulsory Common Mathematics)
🟢 ACTIVE
📊 0 Qs
Keywords:
(i) Matrices and types of Matrices; (ii) Equality of Matrices
transpose of a Matrix
Symmetric and Skew Symmetric Matrix; (iii) Algebra of Matrices; (iv) Determinants; (v) Inverse of a Matrix; (vi) Solving of simultaneous equations using Matrix Method
🟢 ACTIVE
📊 0 Qs
Keywords:
(i) Higher order derivatives up to second order; (ii) Increasing and Decreasing Functions; (iii) Maxima and Minima
🟢 ACTIVE
📊 0 Qs
Keywords:
(i) Indefinite integrals of simple functions; (ii) Evaluation of indefinite integrals; (iii) Definite Integrals; (iv) Application of Integration as area under the curve (simple curve)
🟢 ACTIVE
📊 0 Qs
Keywords:
(i) Order and degree of differential equations; (ii) Solving of differential equations with variable separable
🟢 ACTIVE
📊 0 Qs
Keywords:
Simple Probability
🟢 ACTIVE
📊 0 Qs
Keywords:
(i) Graphical method of solution for problems in two variables; (ii) Feasible and infeasible regions; (iii) Optimal feasible solution