Entrance Exam AIR 1 Preparation

Solve pairs of simultaneous linear equations by substitution and elimination.

Solve linear inequalities and represent their solution sets on a number line.

Perform polynomial division and calculate a polynomial remainder.

Use the factor theorem to identify factors and roots of a polynomial.

Solve quadratic equations by factorisation, completing the square, and the quadratic formula.

Determine the nature of a quadratic equation's roots from its discriminant.

Use relationships between roots and coefficients to calculate unknown quantities.

Solve quadratic inequalities using sign intervals.

Evaluate a function and determine its domain and range from a formula.

Compute compositions and inverses of simple functions.

Interpret the graphs of linear, quadratic, and modulus functions.

Solve equations and inequalities involving absolute values.

Apply logarithm laws to simplify expressions.

Solve exponential and logarithmic equations.

Calculate terms and sums of arithmetic progressions.

Calculate terms and sums of geometric progressions.

Solve equations that can be transformed into quadratic form.

Apply algebraic inequalities such as AM-GM to determine bounds.

Find specified terms and coefficients in a binomial expansion.

Form multi-variable equations from age, digit, and relationship word problems.

Determine maxima or minima of algebraic expressions using an appropriate method.

Choose efficiently among substitution, factorisation, identities, and graphical reasoning for an algebra problem.

Solve IPMAT-style short-answer algebra questions without relying on answer options.

Classify errors from a timed mixed-algebra set and select corrective drills.

Calculate successive percentage changes and reverse percentages.

Solve ratio, proportion, partnership, and variation problems.

Calculate simple, weighted, and replacement averages.

Solve profit, loss, discount, and marked-price problems.

Calculate simple and compound interest under changing conditions.

Solve work-rate, combined-work, and pipe-and-cistern problems.

Solve relative-speed, train, boat, race, and average-speed problems.

Solve mixture and alligation problems.

Use prime factorisation and divisibility tests to analyse integers.

Calculate HCF and LCM and apply them to word problems.

Calculate remainders using modular patterns and cyclicity.

Determine unit digits and trailing zeroes of large expressions.

Calculate the number and sum of factors of an integer.

Represent set relationships and solve counting problems with Venn diagrams.

Use the fundamental counting principle, permutations, and combinations to count arrangements and selections.

Calculate probabilities of single and combined events using counting methods.

Use angle relationships formed by lines and transversals.

Apply triangle congruence, similarity, and the Pythagorean theorem.

Calculate triangle lengths and areas using standard properties and formulas.

Apply properties of quadrilaterals and regular polygons.

Use chord, tangent, and angle properties to solve circle problems.

Calculate distance, midpoint, slope, and line equations in coordinate geometry.

Calculate perimeters and areas of composite two-dimensional figures.

Calculate surface areas and volumes of composite three-dimensional solids.

Extract and compare values from tables, bar charts, line graphs, and pie charts.

Solve data-interpretation caselets involving percentages, ratios, and averages.

Construct deductions for linear and circular arrangement sets.

Solve grouping and distribution puzzles under multiple constraints.

Solve ordering, ranking, and scheduling problems.

Test statement adequacy in data-sufficiency questions.

Evaluate conclusions in syllogism and statement-based reasoning questions.

Select and solve DILR sets under a sectional time limit.

Infer unfamiliar word meanings using roots, prefixes, suffixes, and context.

Distinguish commonly confused words and choose context-appropriate usage.

Apply subject-verb agreement rules in complex sentences.

Use pronouns with clear reference and correct agreement.

Correct errors involving tense and sequence of events.

Correct misplaced modifiers and faulty parallelism.

Choose words that preserve grammar, logic, and tone in cloze passages.

Diagnose and correct sentence-level grammar and usage errors.

Identify the central claim and structure of a reading passage.

Locate supporting details without confusing them with the main idea.

Draw text-supported inferences from a reading passage.

Determine an author's tone, purpose, and stance.

Select an accurate summary that preserves scope and emphasis.

Arrange sentences into a coherent paragraph using logical links.

Identify assumptions and conclusions in short arguments.

Evaluate whether evidence strengthens or weakens an argument.

Compare the latest official formats, marking rules, and selection processes for IPMAT Indore, IPMAT Rohtak, JIPMAT, and BMSAT.

Set section-wise score targets using official cutoffs, selection weights, and mock performance.

Construct a section-wise time-allocation plan for each target examination.

Select questions using difficulty, accuracy, time cost, and negative-marking risk.

Apply an answer-entry and verification routine to IPMAT Indore short-answer questions.

Maintain an error log that separates conceptual, procedural, selection, and careless errors.

Analyse a full-length mock to identify the highest-impact next actions.

Adjust revision and test frequency using trends from consecutive mock results.

Define a sustainable, verifiable project that develops the learner's language interest and produces evidence of consistent work.

Explain the IPM curriculum, the IIM Indore environment, and reasons for programme fit accurately.

Deliver a concise personal introduction connecting PCB studies, multilingual interests, and management goals.

Answer questions about the drop year, prior exam result, weaknesses, and setbacks honestly and constructively.

Build and use a question map to revise likely interview topics from Class 11 and 12 PCB subjects.

Analyse a current business, economic, or social issue from multiple stakeholder perspectives.

Deliver a structured extempore response with a clear opening, argument, and conclusion.

Evaluate a recorded mock interview and convert feedback into specific improvements.