# LT/GIC/GDC Assistant Professor Mains Mathematics Chapterwise Descriptive Solved Papers 2026 > UPPSC LT/GIC Mains Mathematics: chapterwise descriptive solved papers with diagrams, word-limit answers — 2026 edition. ## Details - **Author:** Youth Competition Times Editorial Board - **Publisher:** Youth Competition Times (YCT Publication Pvt. Ltd.) - **Language:** English - **Edition:** 2026 - **Year:** 2026 - **File Size:** 25.3 MB - **Difficulty:** advanced - **Price:** Free - **URL:** https://www.allcompetitionclasses.co.in/books/lt-gic-asst-professor-mains-mathematics-descriptive-solved-papers ## Exam Relevance - UPPSC LT Grade Mains - UPPSC GIC Lecturer Mains - GDC Assistant Professor - UPHESC Assistant Professor - UPSC Civil Services Mains (Mathematics Optional) - UKPSC Lecturer - MPPSC Assistant Professor - RPSC School/College Lecturer - UGC NET Mathematics - DSSSB PGT Mathematics ## Subjects & Topics - Algebra - Real Analysis - Complex Analysis - Vector Analysis - Calculus - Differential Equations - Coordinate Geometry - Statistics - Probability - Linear Algebra - Group Theory - Riemann Integration - Mathematics - Competitive Exam Preparation - Teaching Recruitment ## Tags #lt grade mains mathematics solved papers #gic lecturer mains mathematics 2026 #uppsc lt grade math descriptive paper #yct mathematics mains book pdf #youth competition times mathematics 2026 #assistant professor maths solved papers up #lt grade mains book download #gic 2020 mains math solved paper #uppsc mathematics mains descriptive answers #gdc assistant professor mathematics book #lt grade math book hindi english medium #uphesc assistant professor maths pdf #up lt grade maths mains preparation #yct lt grade math book 2026 pdf #uppsc mains math chapterwise solved #real analysis solved papers uppsc #vector analysis lt grade mains #algebra lt grade gic solved paper ## Full Description If you've cleared the UPPSC LT Grade or GIC Lecturer prelims in Mathematics, you already know the real battle is the Mains. The descriptive paper is a completely different beast — you can't just tick the right option; you have to write structured, word-limited answers with proper derivations, logical flow, and in some questions, supporting diagrams or flowcharts. Most aspirants who struggle in Mains do so not because they don't know the mathematics, but because they've never seen what a correct descriptive answer actually looks like under UPPSC standards. This book fixes exactly that. Youth Competition Times has compiled previous year Mains solved papers for the UPPSC LT Grade, GIC Lecturer, GDC, and Assistant Professor Mathematics examinations, arranged chapterwise so you can study the paper pattern topic by topic. Two major solved paper sets form the core — GIC 2020 Mains and Ashram Paddhati Mains 2021 — giving you real exam questions with model answers written to the word limits and depth that the commission actually expects. The chapter coverage maps directly to the official UPPSC Mathematics Mains syllabus for Paper II (Optional Subject, 300 marks): Algebra is covered in depth — theory of equations, matrices and determinants, eigenvalues and eigenvectors, group theory, rings, fields, and linear algebra. The solved answers here show how to handle abstract algebra proof-based questions in a structured descriptive format, including how to introduce definitions, state theorems properly, and present a logical argument without padding. Real Analysis is one of the sections where most candidates lose marks in Mains. The book covers sequences and series, limits, continuity, differentiability, Rolle's theorem, Lagrange's Mean Value Theorem, Riemann integration, and uniform convergence — with model answers that demonstrate exactly how much depth is needed per question and how to conclude a proof cleanly. Calculus answers include first-order and first-degree differential equations (linear, exact, variable separable, and homogeneous methods), partial derivatives, Taylor and Maclaurin series, maxima-minima problems, and application-based calculus. Every step is shown, not just the final result, so you understand the answering rhythm. Vector Analysis is a chapter that significantly increased in weightage in the 2025 LT Grade exam and remains critical for GIC Mains. Covered topics include gradient, divergence, and curl of vector fields, line and surface integrals, and the three major theorems — Gauss's Divergence Theorem, Stokes' Theorem, and Green's Theorem — with solved answers that include proper mathematical notation and step-by-step derivations. Complex Analysis questions on analytic functions, Cauchy-Riemann equations, harmonic functions, conformal mapping, Cauchy's integral theorem and formula, Taylor and Laurent series, and the residue theorem are addressed with model answers that build the argument from first principles the way UPPSC examiners expect. Geometry and Coordinate Geometry include conic sections, circles, ellipses, parabolas, lines in 3D, planes, spheres, cones, and cylinders. The book specifically calls out where diagrams are expected and shows how to draw and label them for maximum marks — a detail most study materials skip entirely. Statistics and Probability rounds off the coverage with probability theorems, permutation and combination, probability distributions (binomial, Poisson, normal), measures of central tendency, correlation, and regression — again with diagram usage guidance wherever relevant. What makes this resource stand out is the strict adherence to word limits. UPPSC Mains descriptive answers have an expected depth — too brief and you lose marks on elaboration, too verbose and you waste time without adding value. The model answers here consistently demonstrate the right balance, which is something you can only learn from seeing actual graded-style solutions. Who should use this book? Any Mathematics graduate or postgraduate (B.Sc./M.Sc. Mathematics) appearing for UPPSC LT Grade Mains, UPPSC GIC Lecturer Mains, UPHESC Assistant Professor recruitment, or GDC selection in Uttar Pradesh will find this directly relevant. Paper II of the Mains is a descriptive optional subject paper of 300 marks, conducted over 3 hours — this book is built specifically for that paper. The bilingual (Hindi and English) presentation makes it accessible to candidates from both mediums without forcing a language shift mid-preparation. Beyond UP state exams, this book is useful for UPSC Civil Services Mains aspirants who have chosen Mathematics optional. The descriptive answering conventions, the level of topic depth, and the diagram-integration techniques carry over directly. Candidates from Uttarakhand, Madhya Pradesh, Rajasthan, and other Hindi-medium state PSCs that conduct descriptive Mathematics papers for lecturer/assistant professor posts will also benefit from the chapter structure and answer format. Youth Competition Times has been publishing competitive exam resources since 1983 — originally under the name Adhunik Prakashan, now one of the most recognized names in UP state exam preparation. Over four decades, they've built a specific understanding of UPPSC patterns, and their LT/GIC subject books are widely used across UP coaching institutes and by self-study candidates alike. Their solved papers follow actual exam answer conventions rather than generic textbook write-ups. The PDF available here is mobile-optimized — clean text rendering, proper mathematical equation display, and compressed for fast loading even on mobile data. You can study chapter-by-chapter on your phone without any lag or formatting issues. The best way to use this book: don't just read the answers. Pick a chapter, attempt the answer yourself within the word limit, then compare with the model solution. The gap between your first draft and the model answer is exactly what you need to work on before exam day. Start with whichever chapter you're strongest in to build confidence, then shift to the high-weightage chapters — Vector Analysis, Algebra, and Real Analysis — which together account for the bulk of Mains marks. --- - **URL:** https://www.allcompetitionclasses.co.in/books/lt-gic-asst-professor-mains-mathematics-descriptive-solved-papers [Download / View Book](https://www.allcompetitionclasses.co.in/books/lt-gic-asst-professor-mains-mathematics-descriptive-solved-papers) [Browse All Books](https://www.allcompetitionclasses.co.in/books)