Question of the Day (Q1)
Episode 1 of Deepak Sir's Question of the Day: Learn how to solve tricky questions with lightning speed.
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Free Demo Lectures & Solved Papers
Watch Deepak Mittal Sir's free sample lectures, solved previous year question papers, and download official syllabus handbooks for Punjab Master Cadre, Lecturer Cadre & PSTET.
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Free Video Classes (48 Videos)
Question of the day (Q2)
Episode 2: High-probability competitive exam question with step-by-step reasoning and shortcut tricks.
Question of the day (Q3)
Episode 3: Master Cadre mathematics practice question deconstructed for rapid examination solving.
Question of the day (Q4)
Episode 4: Concept-application challenge with direct option elimination technique.
Question of the day (Q5)
Episode 5: Tricky problem solved using Deepak Sir's fundamental shortcut approach.
Question of the Day 6
Episode 6: Key previous year question pattern broken down into simple, memorable steps.
Question of the Day 7
Episode 7: High-yield daily challenging question explained step-by-step by Deepak Mittal Sir.
Question of the Day 8
Episode 8: Fast calculation tricks to save 30+ seconds per question in Master Cadre exams.
Question of the Day 9
Episode 9: Deepak Sir breaks down tricky examination questions with fastest option elimination methods.
Angle Between Hour Hand & Minute Hand of a Clock (Super Shortcut)
Direct formula: |30H - 5.5M| to find the angle between clock hands in 5 seconds without drawing diagrams.
Exponent of a number in n! | Practice MCQ | P & C | NGx Classes
Solve tricky factorial divisibility questions within 30 seconds using Deepak Sir's direct Legendre formula.
Modulus Function | Lecture 1 | Graph and Important Results
V-shape graphs, critical points, piece-wise definitions, and high-yield algebraic properties of |x|.
Modulus Function | Lecture 2 | Continuity of Modulus Function
Checking continuity at sharp corner points and composite modulus functions f(|x|) and |f(x)|.
Modulus Function | Lecture 3 | Derivative of Modulus Function
Corner point non-differentiability, left/right derivatives, and Master Cadre multiple-choice shortcuts.
Modulus Function | Lecture 4 | Integration of Modulus Function
Geometric area method and interval splitting for fast evaluation of definite integrals with modulus terms.
Greatest Integer Function | Lecture 1 | Graph & Important Results
Complete conceptual foundation: step graphs, domain, range, and fundamental identity properties of [x].
Greatest Integer Function | Lecture 2 | Limit of GIF
How to evaluate Left Hand and Right Hand limits containing [x] without making common sign mistakes.
Greatest Integer Function | Lecture 3 | Continuity of GIF
Points of discontinuity, integer jump checks, and rapid question solving for Punjab Master Cadre exams.
Greatest Integer Function | Lecture 4 | Differentiation of GIF
Derivative of greatest integer function at non-integer points and non-differentiability at integer points.
Greatest Integer Function | Lecture 5 | Integration of GIF
Splitting intervals in definite integrals containing [x] — the most asked question pattern in Master Cadre.
Dirichlet's Function : Everywhere Discontinuous Function
Thorough discussion on rational/irrational split functions, non-integrability, and graduation-level topology.
Limit and Continuity (Graduation Level): Circular and Square Neighborhood of point (a, b)
Two-variable limit neighborhoods, epsilon-delta criteria, and Lecturer Cadre graduation-level mathematics.
Coordinate Geometry : Shortcut to find Circumcentre
Super fast formula method to determine circumcentre of right-angled and general triangles without perpendicular bisectors.
Coordinate Geometry: Super Shortcut to find Orthocentre
Find the orthocentre of a triangle formed by lines or vertices in under 20 seconds without long equations.
Coordinate Geometry: Qus of 3704 Maths Master Cadre based on rotation of axes
Exact question from 3704 Master Cadre solved step-by-step using transformation matrices and shortcut formulas.
Coordinate Geometry: Rotation of Axes
Eliminating the xy term from second-degree general equations through axis rotation angle tan(2θ).
Method to Find number of points with integral coordinates that lie within a triangle
Direct shortcut and Pick's theorem approach to count interior integral points without manual calculations.
Shortest distance between two skew lines by Cartesian Method | Equation of Common Perpendicular
Find shortest distance and equation of common perpendicular line using determinant Cartesian method for Master Cadre.
Basics of Differential Equations
Understand order, degree, and standard solution methods step-by-step with Deepak Sir for teaching exams.
Differential Equations: Cauchy’s Equation
Homogeneous linear differential equations with variable coefficients: substitution x = e^z and characteristic roots.
Differential Equations of all non-vertical & non-horizontal lines
Conceptual shortcut method to find the differential equation for families of lines in 2D space.
Change of order of Integration
Master sketching regions of integration and reversing dx dy limits effortlessly for higher mathematics exams.
Greatest Term in the Binomial Expansion
Find the numerically greatest term in (x + a)^n using Deepak Sir's direct ratio formula T(r+1)/T(r) >= 1.
#NGx | Binomial Theorem | Master Cadre Maths
Learn rapid calculations for independent terms, greatest coefficients, and remainder theorem questions.
Complex Numbers (Most Important Questions)
Most important exam questions, roots of unity, and problem-solving shortcuts explained clearly.
Complex Numbers: MCQ:Powers of iota related with functions #NGx Bathinda
Shortcuts for cyclical sums of iota powers and functional equations in Complex Numbers.
All words formed from 'PARIS' | Permutations & Combinations
Complete technique to find rank, permutations, and dictionary order of letter arrangements.
Permutations: Number of four letter words made From 'MATHEMATICS'
Master the 3 classic cases (all different, 1 pair same, 2 pairs same) for complex word permutations.
INVERSE, CONVERSE & CONTRAPOSITIVE (AND THEIR USES)
Clear truth-table equivalences: Conditional p -> q, Converse q -> p, Inverse ~p -> ~q, and Contrapositive ~q -> ~p.
4161 Maths Paper (Part-1) (Upto qus no 84)
In-depth solutions and exam strategy for the first half (Questions 1 to 84) of the 4161 Master Cadre examination.
4161 Maths (Paper Part 2) (From Qus no 85 to 150)
Complete solving and analysis of the remaining questions (85 to 150) of the 4161 Punjab Master Cadre paper.
#NGx Bathinda | PYQ | (4161 Maths & Science) (Chapter-1 Complex Numbers)
Complete step-by-step solutions of Complex Numbers questions from the 4161 Punjab Master Cadre recruitment exam.
# NGx Bathinda | PYQ | (4161-Maths & Science) | (Chapter-21 SET THEORY)
Detailed solutions of Venn diagrams, Cartesian products, and relation questions from the 4161 exam.
#NGx BATHINDA | ETT Paper 5994 (Solutions) (Maths Part)
Question-by-question verified solutions for the complete Mathematics portion of Punjab ETT Paper 5994.
#NGx Bathinda | Probability | (Lecture-1) (Sample space & Events)
Comprehensive foundation of Probability theory, event algebra, and independent events.
Queuing Theory (Operations Research)
Clear explanation of arrival rates, service rates, and Queuing models for Punjab Master Cadre exams.
PSTET Maths (Chapter-10) (Discount)
Successive discount formulas, marked price questions, and exam shortcuts for PSTET Paper 2 Mathematics.
Mock Test-1 (Compulsory Punjabi)
Complete practice mock test for Punjab Government compulsory qualifying Punjabi test (Paper A).
Downloadable Study Material
PDF Guide
Punjab Master Cadre Mathematics Official Syllabus & Topic Weightage
Complete chapter breakdown, mark distribution from past exams, and recommended topic prioritization order.
PDF Handbook
Deepak Sir's High-Yield Formula Sheet: Calculus & Differential Equations
All critical formulas, substitutions, and shortcut results compiled in a single revision handbook.
PDF Analysis
Master Cadre Mathematics Previous Year Question Analysis & Trend Report
Detailed topic-wise analysis of previous Punjab Master Cadre question papers.