Calculation speed · गणना की गति

Vedic Maths notes for competitive exams

प्रतियोगी परीक्षाओं के लिए वैदिक गणित नोट्स

Quant sections in SSC CGL, CHSL, MTS, RRB NTPC, Group D, banking and state exams are mostly about calculation speed. These notes teach the Vedic Maths techniques that actually save time, each with the rule, worked examples, why it works, the common trap, and when not to use it. Everything is in English and Hindi, and every example has been checked by a program.

21techniques
113worked examples
8cheat sheets
250practice questions

Start with the basics Cheat sheets Practice

Foundations · आधार

01What Vedic Maths is, and what it is notवैदिक गणित क्या है और क्या नहींThe 16 sutras in plain words, where each one is used, and an honest note on where the system comes from.

Fast multiplication · तेज़ गुणा

02Multiplying by 11 (and 101, 111)11 (तथा 101, 111) से गुणाMultiply any number by 11 by adding neighbouring digits, with no carrying across a working column.03Multiplication near a base (Nikhilam)आधार के पास गुणा (निखिलम)Multiply numbers close to 10, 100, 1000 (or 50, 200) using only their deficits or surpluses.04Cross multiplication (Urdhva-Tiryak)क्रॉस गुणा (ऊर्ध्व-तिर्यक्)The all-purpose method: multiply any two numbers in one line, 2-digit by 2-digit up to 3-digit by 3-digit.05Multiplying by 9, 99, 999, 98 and 1019, 99, 999, 98 और 101 से गुणाTurn "× 99" into "× 100 − the number" and write the answer directly.06Special multipliers: 5, 15, 25, 50, 75, 125विशेष गुणक: 5, 15, 25, 50, 75, 125Replace each of these multiplications with a halving or quartering followed by a shift of zeros.07Subtracting from 10, 100, 1000 (Nikhilam)10, 100, 1000 से घटाव (निखिलम)Subtract any number from a power of 10 in one pass, with no borrowing.08Fast addition, balancing and series sumsतेज़ जोड़, संतुलन और श्रेणी योगAdd by rounding and correcting, add left to right, and use the closed-form sums of 1 to n, odds, evens, squares and cubes.

Squares and cubes · वर्ग और घन

09Squares of numbers ending in 55 पर समाप्त होने वाली संख्याओं के वर्गSquare any number ending in 5 in two seconds, and extend the idea to products like 43 × 47.10Squares near a base (Yāvadūnam)आधार के पास वर्ग (यावदूनम्)Square 96, 103, 994 or 47 using only the distance from 100, 1000 or 50.11Squaring any number (Duplex)किसी भी संख्या का वर्ग (द्वंद्व)A one-line method that squares any 2- or 3-digit number, no base needed.12Cubes and cube rootsघन और घनमूलCube any 2-digit number in one line, and find the cube root of a perfect cube up to 6 digits in seconds.

Division and fractions · भाग और भिन्न

13Dividing by 9, 99, 5, 25 and 1259, 99, 5, 25 और 125 से भागDivide by 9 with running sums, and replace division by 5, 25, 125 with a multiplication and a shift.14Fractions to decimals and recurring decimalsभिन्न से दशमलव और आवर्ती दशमलवKnow 1/2 to 1/20 as decimals, spot the cyclic patterns of 1/7, 1/13, 1/19, and convert recurring decimals to fractions.15Percentage–fraction equivalentsप्रतिशत–भिन्न समतुल्यThe 1/2 to 1/20 table, the "x% of y = y% of x" swap and successive percentages in one line.

Checking and divisibility · जाँच और विभाज्यता

16Divisibility tests, 2 to 19विभाज्यता परीक्षण, 2 से 19Decide in seconds whether a number is divisible by 2 to 13, including 7, 11 and 13, with no division.17Digit-sum check (Beejank) and option eliminationअंक-योग जाँच (बीजांक) और विकल्प हटानाCheck any answer in five seconds with the digit sum, and kill wrong MCQ options before you calculate.

Roots · मूल

18Square roots of perfect squaresपूर्ण वर्गों के वर्गमूलFind √ of a perfect square up to 6 digits by reading its last digit and its first pair.

Algebra shortcuts · बीजगणित शॉर्टकट

19Simultaneous equations in one lineदो चर वाले समीकरण एक पंक्ति मेंSolve two equations in two unknowns using crosswise multiplication, add-and-subtract, or proportion.20Algebra shortcuts: identities, x + 1/x, factoringबीजगणित शॉर्टकट: सर्वसमिकाएँ, x + 1/x, गुणनखंडThe identities that decide a quarter of algebra questions, and the Samuccaya rule for equations like 1/(x+7) + 1/(x+9) = 1/(x+6) + 1/(x+10).

Exam strategy · परीक्षा रणनीति

21Exam strategy and a 30-day planपरीक्षा रणनीति और 30 दिन की योजनाDecide in two seconds which method to use, check answers cheaply, and build speed in 30 days.

How to study this

Learn one technique a day. Read the rule, cover the answers and redo the worked examples, then do the practice drill. Speed comes only after you can run the method without looking. The last topic is a 30-day plan.

An honest note on the name

Vedic Maths is a set of mental-arithmetic methods popularised by Bharati Krishna Tirthaji in 1965. The sutras are not found in the Vedas, and exams never ask about the origin. What matters is that each method is plain algebra and saves seconds on the paper.

Practice questions are original, generated from verified rules; they are not previous-year questions. Full practice is part of the Pro Pass; the notes and cheat sheets are free.