📚
Official Curriculum & AI Taxonomy Guide
Mathematics
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
संबंध एवं फलन (कोर गणित) (Relations and Functions (Core))
🟢 ACTIVE
📊 0 Qs
Keywords:
Types of relations: Reflexive
symmetric
transitive and equivalence relations; One to one and onto functions
🟢 ACTIVE
📊 0 Qs
Keywords:
Definition
range
domain
principal value branches; Graphs of inverse trigonometric functions
बीजगणित: आव्यूह एवं सारणिक (कोर गणित) (Algebra (Core))
🟢 ACTIVE
📊 0 Qs
Keywords:
Concept
notation
order
equality
types of matrices
zero matrix
transpose of a matrix
symmetric and skew symmetric matrices; Operations on matrices: Addition
multiplication and multiplication with a scalar; Simple properties; Non-commutativity of multiplication and existence of non-zero matrices whose product is the zero matrix (order 2); Invertible matrices and uniqueness of inverse
🟢 ACTIVE
📊 0 Qs
Keywords:
Determinant of a square matrix (up to 3\times 3 matrices)
minors
cofactors and applications of determinants in finding the area of a triangle; Adjoint and inverse of a square matrix; Consistency
inconsistency and number of solutions of system of linear equations by examples
solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix
कलन: अवकलन एवं समाकलन (कोर गणित) (Calculus (Core))
🟢 ACTIVE
📊 0 Qs
Keywords:
Continuity and differentiability
chain rule
derivatives of inverse trigonometric functions (\sin^{-1}x
\cos^{-1}x
\tan^{-1}x)
derivative of implicit functions; Concepts of exponential and logarithmic functions; Derivatives of logarithmic and exponential functions; Logarithmic differentiation
derivative of functions expressed in parametric forms; Second-order derivatives
🟢 ACTIVE
📊 0 Qs
Keywords:
Rate of change of quantities
increasing/decreasing functions
maxima and minima (first derivative test motivated geometrically and second derivative test given as provable tool); Simple problems illustrating basic principles and real-life situations
🟢 ACTIVE
📊 0 Qs
Keywords:
Integration as inverse process of differentiation; Integration of a variety of functions by substitution
by partial fractions and by parts; Evaluation of standard integrals; Fundamental Theorem of Calculus (without proof); Basic properties of definite integrals and evaluation of definite integrals
🟢 ACTIVE
📊 0 Qs
Keywords:
Applications in finding the area under simple curves
especially lines
circles/parabolas/ellipses (in standard form only)
🟢 ACTIVE
📊 0 Qs
Keywords:
Definition
order and degree
general and particular solutions of a differential equation; Solution by method of separation of variables; Solutions of homogeneous differential equations of first order and first degree; Solutions of linear differential equations of the type \frac{dy}{dx} + Py = Q and \frac{dx}{dy} + Px = Q
सदिश एवं त्रिविमीय ज्यामिति (कोर गणित) (Vectors and Three-Dimensional Geometry (Core))
🟢 ACTIVE
📊 0 Qs
Keywords:
Vectors and scalars
magnitude and direction of a vector; Direction cosines and direction ratios of a vector; Types of vectors (equal
unit
zero
parallel and collinear vectors)
position vector of a point
negative of a vector
components of a vector
addition of vectors
multiplication by a scalar
position vector of a point dividing a line segment in a given ratio; Scalar (dot) product and vector (cross) product of vectors
🟢 ACTIVE
📊 0 Qs
Keywords:
Direction cosines and direction ratios of a line joining two points; Cartesian equation and vector equation of a line
skew lines
shortest distance between two lines; Angle between two lines
रैखिक प्रोग्रामन (कोर गणित) (Linear Programming (Core))
🟢 ACTIVE
📊 0 Qs
Keywords:
Introduction
related terminology such as constraints
objective function
optimization
graphical method of solution for problems in two variables
feasible and infeasible regions (bounded or unbounded)
feasible and infeasible solutions
optimal feasible solutions (up to three non-trivial constraints)
प्रायिकता (कोर गणित) (Probability (Core))
🟢 ACTIVE
📊 0 Qs
Keywords:
Conditional probability
Multiplication theorem on probability
independent events
total probability
Bayes' theorem
संख्याएं, परिमाणीकरण एवं संख्यात्मक अनुप्रयोग (एप्लाइड) (Numbers, Quantification and Numerical Applications (Applied))
#1
मॉड्यूलो अंकगणित, समरूपता एवं मिश्रण नियम
(Modulo Arithmetic, Congruence Modulo & Allegation/Mixture)
🟢 ACTIVE
📊 0 Qs
Keywords:
A. Modulo Arithmetic (modulus of an integer
arithmetic operations); B. Congruence Modulo (definition and problems); C. Allegation and Mixture (rule of allegation
mean price of mixture)
#2
नाव व धारा, पाइप व टंकी, दौड़ व खेल, असमिकाएं
(Boats & Streams, Pipes & Cisterns, Races & Games, Inequalities)
🟢 ACTIVE
📊 0 Qs
Keywords:
D. Numerical Problems; E. Boats and Streams (upstream and downstream equations); F. Pipes and Cisterns; G. Races and Games; H. Numerical Inequalities
बीजगणित: आव्यूह एवं सारणिक (एप्लाइड) (Algebra (Applied))
#1
आव्यूह, सारणिक, व्युत्क्रम एवं युगपत समीकरण
(Matrices, Determinants, Inverse & Simultaneous Equations)
🟢 ACTIVE
📊 0 Qs
Keywords:
A. Matrices and types of matrices; B. Equality of matrices
Transpose
Symmetric and Skew symmetric matrix; C. Algebra of Matrices; D. Determinant of Matrices (properties
singular/non-singular
$
कलन एवं इसके आर्थिक अनुप्रयोग (एप्लाइड) (Calculus (Applied))
#1
उच्च कोटि के अवकलज, सीमांत लागत/राजस्व एवं उच्चिष्ठ/निम्निष्ठ
(Higher Order Derivatives, Marginal Cost/Revenue & Maxima/Minima)
🟢 ACTIVE
📊 0 Qs
Keywords:
A. Higher Order Derivatives (up to second order
parametric and implicit functions); B. Application of Derivatives (rate of change); C. Marginal Cost and Marginal Revenue using derivatives; D. Increasing/Decreasing Functions; E. Maxima and Minima (critical points
local and absolute extrema
applied problems)
#2
समाकलन, उपभोक्ता/उत्पादक अधिशेष एवं अवकल समीकरण
(Integration, Consumer/Producer Surplus & Differential Equations)
🟢 ACTIVE
📊 0 Qs
Keywords:
F. Integration (indefinite integrals as anti-derivative); G. Indefinite integrals by substitution
partial fraction and by parts; H. Definite Integral as area under the curve & Fundamental theorem; I. Application of Integration (Consumer Surplus and Producer Surplus); J. Differential Equations (order and degree); K. Formulating and solving simple differential equations
प्रायिकता बंटन (एप्लाइड) (Probability Distributions (Applied))
#1
यादृच्छिक चर, प्रत्याशा, प्रसरण एवं द्विपद/पॉइसन/प्रसामान्य बंटन
(Random Variables, Expectation, Variance & Binomial/Poisson/Normal Distributions)
🟢 ACTIVE
📊 0 Qs
Keywords:
A. Probability Distribution of discrete random variable; B. Mathematical Expectation; C. Variance and S.D. of a random variable; D. Binomial Distribution (Bernoulli trials
Mean
Variance
S.D.); E. Poisson Distribution (conditions
Mean
Variance); F. Normal Distribution (standard normal variate
area relationship)
काल श्रेणी विश्लेषण (एप्लाइड) (Time Based Data (Applied))
🟢 ACTIVE
📊 0 Qs
Keywords:
A. Time Series as chronological data; B. Components of Time Series; C. Time Series analysis for univariate data; D. Secular trend; E. Methods of Measuring trend
आनुमानिक सांख्यिकी एवं परीक्षण (एप्लाइड) (Inferential Statistics (Applied))
#1
प्रतिचयन, केंद्रीय सीमा प्रमेय एवं एक-प्रतिदर्श t-परीक्षण
(Sampling, Central Limit Theorem & One-Sample t-Test)
🟢 ACTIVE
📊 0 Qs
Keywords:
A. Population and Sample (simple and systematic random sampling); B. Parameter and Statistics
Statistical Significance
Central Limit Theorem; C. t-Test (one sample t-test for a small group sample
Null and Alternate hypothesis
degree of freedom)
वित्तीय गणित (एप्लाइड) (Financial Mathematics (Applied))
#1
सदावर्ती, ऋणशोधन निधि, ईएमआई, रिटर्न, सीएजीआर, मूल्यह्रास व बॉन्ड
(Perpetuity, Sinking Funds, EMI, Returns, CAGR, Depreciation & Bonds)
🟢 ACTIVE
📊 0 Qs
Keywords:
A. Perpetuity and Sinking Funds; B. Calculation of EMI; C. Calculation of Returns
Nominal Rate of Return; D. Compound Annual Growth Rate (CAGR); E. Linear method of Depreciation; F. Valuation of Bonds (present value approach)
रैखिक प्रोग्रामन निर्माण एवं हल (एप्लाइड) (Linear Programming (Applied))
🟢 ACTIVE
📊 0 Qs
Keywords:
A. Introduction and related terminology; B. Mathematical formulation of LPP; C. Different types of LPP; D. Graphical Method of Solution for problems in two Variables; E. Feasible and Infeasible Regions; F. Feasible and infeasible solutions
optimal feasible solution