Master the numbers round, every time
A placement-test-focused path through every topic Indian IT recruitment tests actually ask — arithmetic, percentages, interest, time-speed-distance, algebra, permutations, probability and data interpretation — ending in a full, timed mock-test simulation you can walk into an exam hall having already done.
Prerequisites & approach
What you should already know
- Comfortable with school-level arithmetic and basic algebra
- No calculator assumed — every method here is built for pen-and-paper, timed conditions
- No prior aptitude-test experience required
- Pairs naturally with DSA in C++ and System Design for a complete campus-placement track
Topics you'll work through
The exact syllabus tested by TCS NQT, Infosys, Wipro, Amcat and CoCubes-style placement rounds.
Your 21-week learning path
Twenty modules, from number systems to a full timed mock test — about two focused days per topic.
Number Systems, Divisibility & Remainders
The arithmetic vocabulary every later topic quietly assumes you already have.
- Classifying numbers & place-value tricks
- Divisibility rules for 2 through 11
- Remainder theorems & cyclicity of last digits
HCF, LCM & Factors
The two operations hiding inside time-and-work, ratio and scheduling problems alike.
- Prime factorization, fast
- HCF/LCM by factorization & the division method
- Word problems: bells, traffic lights & packing
Percentages
The single most-reused concept in the entire syllabus — get this one truly fast.
- Percentage-to-fraction shortcuts worth memorizing
- Successive percentage change & why you can't just add
- Percentage points vs. percentage change
Profit, Loss & Discount
Percentages applied to the shopkeeper's oldest trick questions.
- Cost price, selling price & marked price, disentangled
- Successive discounts & the false-average trap
- Dishonest dealer / faulty weight problems
Simple & Compound Interest
Where percentages meet time — and where most students lose easy marks to formula mix-ups.
- SI vs. CI, and why the gap compounds
- The CI-SI difference shortcut for 2 & 3 years
- Installments & effective annual rate
Ratio, Proportion & Variation
The relationship that quietly underlies mixtures, partnerships and time-and-work alike.
- Ratios as a single unknown multiplier
- Direct vs. inverse variation, told apart fast
- Partnership & profit-sharing problems
Averages, Mixtures & Alligation
One weighted-average idea that solves three "different" chapters at once.
- Averages, and how one new/removed value shifts them
- The alligation cross — mixtures in one diagram
- Replacement problems (removing & replacing part of a mixture)
Time & Work
Convert "who does what how fast" into simple rates, every time.
- The work-as-rate model (1 job = 1 unit)
- Combined work, efficiency ratios & wages-sharing
- Pipes & cisterns, including one pipe emptying
Time, Speed & Distance
The same rate model as Week 8, now on a number line instead of a job.
- Relative speed for same-direction & opposite-direction motion
- Trains crossing platforms, poles & each other
- Boats & streams — upstream/downstream speed
Linear & Quadratic Equations
The algebra toolkit every word problem eventually reduces to.
- Translating a word problem into an equation, reliably
- Solving quadratics by factoring, fast
- Sum/product of roots without solving the equation
Progressions — AP, GP & Series
Patterns in sequences, and the formulas that skip the counting.
- Arithmetic progressions: nth term & sum, derived not memorized
- Geometric progressions & the infinite-sum shortcut
- Spotting a series' pattern under time pressure
Permutations & Combinations
Counting without listing — the chapter students fear most, made mechanical.
- The fundamental counting principle, applied first, always
- Permutations vs. combinations — the one question that decides which
- Circular arrangements & grouping-with-restrictions
Probability
Week 12's counting, one layer up — favorable outcomes over total outcomes.
- Classical probability & building a correct sample space
- Independent vs. dependent events, and conditional probability
- Cards, dice & "at least one" problems
Logarithms, Surds & Indices
The exponent rules that make several "hard" questions collapse into one line.
- Laws of indices & simplifying surds
- Logarithm rules & converting between bases
- Rationalizing denominators fast, under time pressure
Geometry & Mensuration
Shapes, areas and volumes — the formulas worth having cold, not looked up.
- Triangles, circles & the properties that recur in questions
- Area & perimeter of every standard 2D shape
- Volume & surface area of cubes, cylinders, cones & spheres
Clocks, Calendars & Age-Based Problems
The "logical arithmetic" chapter — small formulas, big time savings.
- Clock angles & the hands-coincide/opposite shortcuts
- Calendar & odd-days arithmetic — find any day of the week
- Age problems as disguised linear equations (Week 10, revisited)
Data Interpretation I — Tables, Bar & Line Graphs
Every earlier topic, now applied to a chart instead of a paragraph.
- Reading a table/graph fast, before touching a single question
- Percentage change & ratio questions across bars/lines
- Approximation — when an exact answer is a waste of time
Data Interpretation II — Pie Charts, Caselets & Data Sufficiency
The harder DI formats, plus the "can this even be answered?" question type.
- Pie charts: degrees, percentages & back-conversion
- Caselets — extracting a table from a paragraph of data
- Data sufficiency — deciding without fully solving
Vedic Maths & Speed Calculation Techniques
Not a new concept — a speed layer under every calculation the last 18 weeks taught you to recognize.
- Ekadhikena Purvena — squaring numbers ending in 5, instantly
- Nikhilam & Urdhva-Tiryagbhyam — fast multiplication for any two numbers
- Digit-sum verification — catching arithmetic slips in seconds
Capstone: Full Mock Aptitude Test Simulation
Every topic, under a real clock, with a scoring & review strategy you'll actually use.
- A full, timed 30-question mock test across every topic
- Question-selection & time-allocation strategy
- A personal error log you keep using after the course ends