All 17 Topics
Grouped into 5 Modules. Every Topic Has a Shortcut.
Click any module to expand. Every topic card shows: what's covered, the SPEED TECHNIQUE that saves time, and where this topic appears in placement exams.
Click any module to expand. Every topic card shows: what's covered, the SPEED TECHNIQUE that saves time, and where this topic appears in placement exams.
Numbers, averages, percentages, profit-loss, interest — the topics that appear on EVERY exam
Types of numbers (prime, composite, co-prime), divisibility rules for 2–11 (mental shortcuts), HCF and LCM (prime factorisation + Euclidean algorithm), remainder problems (remainder theorem — find remainders without dividing), cyclicity of unit digits (7²³ → last digit? Pattern: 7,9,3,1), indices and surds (rationalisation). Foundation topic — tested directly AND embedded inside other topics.
Average formula and applications (sum = average × count). Assumed mean method for large numbers. Average in equal-difference series. Weighted mean for combining groups. Error-based questions ("one number was read wrong"). Recurring and non-recurring decimals — conversion to fractions. "5 years ago, average age was..." → current average = old average + 5.
Percentage-fraction conversions (1/8 = 12.5% — memorise 12 key conversions). "X% more than" vs "X% of." Successive percentage changes (20% increase then 10% decrease ≠ 10% increase). Price-consumption-expenditure relationship. Vote-based questions. Base-change problems ("A is what % of B" vs "B is what % of A"). 3–5 questions per exam — highest individual topic weightage.
CP, SP, MP relationships. Profit/loss percentage (always on CP unless stated otherwise). Successive discounts: 20% + 10% ≠ 30% (it's 28%). Dishonest trader (uses false weights → effective profit). Marked price vs selling price (discount on MP, profit on CP — the trap most students fall into). Buy X get Y free offers as percentage discount.
SI = PRT/100. CI = P(1+R/100)^T - P. Difference between CI and SI for 2 years = PR²/100². Effective rate for different compounding periods. Doubling time: Rule of 72 (72/rate = years to double). Present value. Installments and EMI basics. Banking and fintech companies increasingly test this topic.
Ratio, alligation, time-work, time-speed-distance — the application problems that test equation setup
Ratio, proportion, continued proportion. Direct and indirect variation. Simple partnership (profit ∝ investment) and compound partnership (profit ∝ investment × time). Fixed vs variable cost problems. The skill tested is equation SETUP — the math is always simple once the ratio relationship is identified correctly.
Alligation cross method: mix two items at different values → find the ratio for a target value. Repeated dilution formula: after n replacements of k litres from m litres, concentration = original × ((m-k)/m)^n. Mixture problems appear as: milk-water, profit/loss mixing, average price of blended items. The alligation cross gives the answer in one visual step — no equations needed.
Speed = distance/time. Relative speed: same direction (subtract), opposite direction (add). Average speed for equal distances: 2ab/(a+b) — NOT (a+b)/2. Trains: add lengths for passing, time = total distance / relative speed. Boats: upstream = boat - stream, downstream = boat + stream. Circular tracks: meeting time = circumference / relative speed. Linear races: head start problems.
A completes in 10 days → A's 1-day work = 1/10. Combined work: add rates. Pipes and cisterns: filling rate − leaking rate = net rate. Efficiency variations: "A is twice as efficient as B." Alternate days work. Remaining work problems. The LCM method eliminates ALL fractions: take LCM of individual times as total work units → each person's per-day output is a whole number.
The topics that separate 80th percentile from 95th percentile — highest difficulty, highest reward
Linear equations in 1–2 variables (word problem → equation setup). Quadratic equations: factorisation, discriminant, sum/product of roots. AP: nth term = a+(n-1)d, sum = n/2(2a+(n-1)d). GP: nth term = ar^(n-1), sum formulas. Inequalities: solving, sign analysis. "What's the pattern?" series problems. Focus: translating English into algebra — most students fail at SETUP, not calculation.
Fundamental counting principle. Permutations (nPr): arrangement where order matters. Combinations (nCr): selection where order doesn't. Circular permutations. With repetition. Restrictions: "select 5 from 12, but 2 must be included." Word formation: "How many 4-letter words from MATHEMATICS?" The hardest topic for most students — needs PATTERN RECOGNITION over formula memorisation. 2–3 questions per exam.
P(event) = favourable/total. Addition rule (OR: P(A∪B)), multiplication rule (AND: P(A∩B)). Conditional probability P(A|B). Independent vs dependent events. Dice, cards, coins — the three classic domains. Expected value. Bayes' theorem for advanced problems. "Two dice rolled — probability sum is 7?" appears on 50%+ of exams. 2–3 questions per exam guaranteed.
Two-set: n(A∪B) = n(A) + n(B) − n(A∩B). Three-set Venn diagrams. "100 students: 60 play cricket, 40 play football, 20 play both — how many play neither?" Max-min problems with sets. "At least" and "at most" phrasing. Quick to solve once the diagram is drawn — 1–2 questions per exam, usually easy points.
Spatial reasoning and pattern-based topics — fewer questions but quick points for prepared students
Triangles: area (base×height/2, Heron's formula), properties (Pythagorean theorem, 30-60-90, 45-45-90 special triangles), similarity and congruence. Circles: area, circumference, arc/sector. 3D shapes: cube, cuboid, cylinder, cone, sphere — volume and surface area formulas. Coordinate geometry basics: distance, midpoint, slope. Focus on the 10 formulas that cover 90% of geometry problems.
Clocks: angle between hands = |30H − 5.5M|. Relative speed of hands: 5.5° per minute. Straight line (180°), right angle (90°), coincident (0°) — how many times per 12 hours? Faulty clocks: gains/loses X minutes per hour. Calendars: odd days method for finding day of any date. Concept of leap year. 1–2 questions per exam — quick marks for prepared students.
Guesstimation, flowcharts, gamification, Sudoku — the newer patterns in Capgemini and Accenture exams
"How many petrol pumps in India?" "How many tennis balls fit in this room?" Break into components: number of cars → fuel consumption → daily demand → pumps needed. MECE framework (Mutually Exclusive, Collectively Exhaustive). Key principles: start with known facts, round aggressively, multiply/divide confidently. Increasingly tested at product companies (Fermi estimation) and Capgemini game-based assessments.
Follow a flowchart: given input, trace through decision boxes (if/else), process boxes (add, multiply), and arrive at output. Reverse flowcharts: given output, find input. Common in TCS NQT and Capgemini assessments. Tests: careful reading, conditional logic, and arithmetic accuracy under a visual format. Not hard conceptually — but unfamiliar format causes mistakes.
Game-based cognitive assessments: Capgemini uses gamified aptitude tests that measure cognitive traits (processing speed, attention, pattern recognition) through interactive games rather than traditional MCQs. Sudoku-type logic puzzles: constraint satisfaction, elimination, backtracking. Practice builds the pattern recognition speed these assessments measure. The format is new — the cognitive skills tested are the same.
Trainers teach the CONCEPT and the SHORTCUT together. "Here's why percentage formula works" → "Here's how to solve any percentage problem in 30 seconds using the 10% method." Theory without speed is useless for timed exams
After every topic: 20-question timed test on the platform. Speed target: 90 seconds per question. Immediate analytics: accuracy, time per question, comparison with batch. Repeat until speed target is met.
Full-length quant mock tests in company-specific formats. Post-test: accuracy per topic, time distribution, weak area identification. "Your percentage accuracy is 90% but probability is 40%" → targeted sprint on probability.
2000+ problems graded by difficulty (basic → moderate → advanced). AI tutor hints (not answers). Practice between sessions. Platform tracks progress: problems solved, accuracy trends, speed improvement over weeks.
Every topic has a shortcut that halves solving time: percentage from 10%, LCM for time-work, alligation cross for mixtures, unit digit elimination, multiplier method for profit-loss. Students who know shortcuts solve in 60–90 secs. Students who don't take 3–5 mins. The exam doesn't give 5 mins.
"This is a successive percentage change problem" → apply the formula, answer in 30 seconds. "This is a Venn diagram problem" → draw the diagram, answer in 60 seconds. Pattern recognition comes from solving 200+ problems per topic type — the brain classifies automatically.
After 15+ mocks: "I'm 92% accurate on percentages, 78% on TSD, 45% on probability." Precision on WHERE to focus remaining preparation time. No more "studying everything equally" — study what needs improvement, skip what's already strong.
The aptitude round eliminates 70% of candidates before they reach technical or interview stages. Students who complete this module — 2000+ problems, 15+ mocks, shortcut mastery — clear the cutoff consistently. The gate opens. Everything else follows.
E-305, Industrial Area, Sahibzada Ajit Singh Nagar, Punjab 160055, IN
