CAT Logarithm PYQs Masterclass: 0 to 99%ile Shortcuts & Elimination Techniques

Master Logarithms for CAT 2026, XAT, SNAP, NMAT, and other MBA entrance exams with this ultimate collection of Logarithm Previous Year Questions (PYQs) from PrepElevate! In this comprehensive marathon session, we solve real past CAT exam questions from 2017 to 2023 across multiple slots. Learn the exact exam-day strategies, option elimination tricks, domain checks for extraneous roots, and algebraic reduction techniques to solve even moderate to tough logarithm problems under time pressure. 📌 High-Yield Problems & Concepts Solved: • Quadratic Transformation & Real Roots: Solving biquadratic log systems using substitution $t = x^2$ and eliminating invalid negative bases (CAT 2023) • Nested Base Change & Fractional Bases: Handling decimal bases like $0.008 = 5^{-3}$ and simplifying complex multi-base fractions to evaluate $3x^2$ • Reciprocal Law & Range Estimation: Applying $\frac{1}{\log_a b} = \log_b a$ to solve cyclic expressions and estimate values between integer powers • Step-by-Step Nested Brackets: Peeling outward log layers sequentially to solve linear and rational equations (CAT 2021) • Logarithmic Surds & Exponent Reduction: Multiplying arguments and rationalizing roots in equations to find $100x$ • Alternating Base Simplifications: Telescoping alternating sum/difference of reciprocal base-100 terms • Arithmetic Progression (AP) with Logarithms: Applying $2b = a + c$ on exponential log arguments and filtering extraneous roots • Inequality & Extremum with AM-GM: Analyzing $a + \frac{1}{a} \ge 2$ bounds to determine impossible values of expressions • Range Comparison & Characteristic Estimation: Bounding log arguments between powers to find interval ranges for $x$ • Proportional Variable Substitution: Using the constant parameter $k$ method to evaluate nested products like $p^3 = q^4 = r^5 = s^6$ • Geometric Mean (GM) & Log Linkages: Connecting GM ($G = \sqrt{xy}$) with logarithmic exponent identities • Inequations & Integer Range Bounds: Solving inequalities involving real roots under radicals and computing the count of distinct integer solutions (TITA) Whether you are revising for CAT Quantitative Aptitude or aiming for a 99+ percentile in QA, this PYQ walkthrough will solidify your conceptual clarity and problem-solving speed. Don't forget to like, share, and subscribe to PrepElevate for regular Quant, DILR, and VARC preparation videos! #CATPreparation #Logarithms #CATPYQs #LogarithmForCAT #CATQuant #PrepElevate #QuantitativeAptitude #CAT2026 #CATExam #XATPreparation #SNAPExam #NMAT #CMAT #MBAEntrance #PreviousYearQuestions #CATQA #LogRules #AlgebraForCAT #MathsTricks #QuantShortcuts #StudyWithMe #QuantPractice #AptitudeTricks #MBAAspirants #CompetitiveExams #QuantPreparation #ProblemSolving