Free · no sign-up needed
Numerical aptitude, explained simply
Aptitude tests for jobs, campus placements and entrance exams, without the fear. Every topic starts from zero: the idea in one line, a 3-step method, and moving pictures of every kind of question (trains you can ride on, tanks that fill, bars that level out), then the shortcuts and the traps. Practise with endless fresh questions, then take timed mock tests that feel like the real thing.
📖 Learn the method🎯 Practise with full solutions⏱️ Test yourself against the clock
Numbers
HCF, LCM and divisibilityHCF = the biggest number that divides both exactly. LCM = the smallest number both divide into. …SimplificationA long sum must be done in the right order: Brackets, Orders (powers), Divide and Multiply, then…Squares, cubes and rootsA square number is a square of tiles: 5 rows of 5 = 25. The square root goes backwards: 25 tiles…Number seriesEvery series hides a rule. Almost always you find it by looking at the gaps between the numbers.…EquationsAn equation is a balance. Whatever you do to one side, do to the other side, and it stays balanc…
Percentages and money
PercentagesPer cent just means “out of 100”. 20% means 20 out of every 100.…Profit and lossYou buy at the cost price and sell at the selling price. The difference is your profit (or loss)…DiscountThe marked price is on the tag. A discount is taken off it, and what is left is the sale price y…Simple interestWith simple interest you earn the same interest every year, worked out on the money you first pu…Compound interestWith compound interest, each year’s interest is added to the money, so next year you earn intere…PartnershipPartners share the profit in the same ratio as the money they put in (and for how long).…
Ratios and averages
Ratio and proportionA ratio like 2 : 3 means “for every 2 of one, there are 3 of the other”. Think of it as parts.…AveragesThe average is what each one would have if everything were shared out equally.…Problems on agesEveryone gets older by the same number of years. Write the ages now with a letter, then move for…Mixtures and alligationWhen two things are mixed, the mix lands between them. The closer it is to one, the more of that…
Time and motion
Time and workTurn days into work per day. If Ali paints a wall in 4 days, he paints ¼ of the wall each day.…Pipes and cisternsIt is time and work with water: a filling pipe adds part of the tank each hour, a leak takes som…Speed, time and distanceDistance = speed × time. Everything else comes from moving those three around.…TrainsA train has length. To pass something, its front must travel its whole length (plus the length o…Boats and streamsGoing with the river (downstream) it helps you: add its speed. Going against it (upstream) it sl…Races and circular tracksA race is speed, time and distance with two runners. The trick: look at where the loser is at th…
Calendars and clocks
Counting and chance
Shapes and data
Mock tests
Ready-made papers (the same for everyone, so you can compare scores with friends), or build your own: pick the topics, how many questions and how much time.
Coming next
All the numerical topics are here. Next: logical reasoning, prompt engineering and English.