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VetriPath Academyவெற்றிப்பாதை அகாடமி

Class plan

TNPSC Group 1/2/2A/4: Maths and Reasoning

டிஎன்பிஎஸ்சி குரூப் 1/2/2A/4: கணிதம் மற்றும் காரணவியல்

45 live classes, 90 class hours including doubt clarification, covering 25 exam questions. Prepared by B. Vigneshwaran, B.E., B.Lit. (Tamil).

Aptitude and Mental Ability: 25 questions (Part A Aptitude 15, Part B Mental Ability 10)

2 hours per classFor a 7 PM class: 7:00 PM–8:15 PM, then 8:25 PM–9:10 PM.

10-minute break8:15 PM–8:25 PM in every class.

Last 10 minutes for doubts9:00 PM–9:10 PM: ask the teacher about anything from the class.

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Part A: Aptitude (திறனறிவு)

15 questions in the exam · 40 classes

  1. Class 01: Number System (1/3)

    Number System (எண்ணியல்)

    • Types of numbers: natural, whole, integers, rational, irrational, prime, composite
    • Place value and face value
    • Divisibility rules for 2 to 13

  2. Class 02: Number System (2/3)

    Number System (எண்ணியல்)

    • Number of factors and sum of factors
    • Unit digit of powers and products
    • Remainder problems

  3. Class 03: Number System (3/3)

    Number System (எண்ணியல்)

    • Sums of natural, odd and even numbers, squares and cubes
    • Finding missing digits
    • Practice with previous TNPSC questions

  4. Class 04: Simplification

    Simplification (சுருக்குதல்)

    • BODMAS rule
    • Fractions and decimals; recurring decimals to fractions
    • Squares, square roots, cubes and cube roots
    • Indices and surds basics

  5. Class 05: Algebra (1/2)

    Algebra (இயற்கணிதம்)

    • Identities: (a±b)², a²−b², (a±b)³, a³±b³
    • Simplifying expressions and factorisation
    • Linear equations in one and two variables

  6. Class 06: Algebra (2/2) + LCM and HCF (1/5)

    First hour: Algebra (இயற்கணிதம்)

    • Polynomials and the remainder theorem
    • Word problems and practice

    Second hour: LCM and HCF (மீ.சி.ம & மீ.பெ.வ)

    • Factors and multiples
    • HCF and LCM by prime factorisation and division

  7. Class 07: LCM and HCF (2/5)

    LCM and HCF (மீ.சி.ம & மீ.பெ.வ)

    • HCF and LCM of fractions and decimals
    • Product of two numbers = HCF × LCM
    • Co-prime numbers

  8. Class 08: LCM and HCF (3/5)

    LCM and HCF (மீ.சி.ம & மீ.பெ.வ)

    • Greatest number that divides leaving given remainders
    • Least number that leaves a given remainder
    • Largest and smallest numbers of given digits

  9. Class 09: LCM and HCF (4/5)

    LCM and HCF (மீ.சி.ம & மீ.பெ.வ)

    • Bells ringing together, runners meeting again
    • Tiles, rooms and container problems
    • Traffic lights and time-based problems

  10. Class 10: LCM and HCF (5/5)

    LCM and HCF (மீ.சி.ம & மீ.பெ.வ)

    • Mixed practice and shortcut methods
    • Previous TNPSC questions

  11. Class 11: Ratio and Proportion (1/3)

    Ratio and Proportion (விகிதம் மற்றும் விகிதாச்சாரம்)

    • Ratio basics and comparing ratios
    • Compound, duplicate and triplicate ratios
    • Proportion; mean, third and fourth proportional

  12. Class 12: Ratio and Proportion (2/3)

    Ratio and Proportion (விகிதம் மற்றும் விகிதாச்சாரம்)

    • Dividing an amount in a given ratio
    • Partnership: sharing profit by investment and time
    • Coins and notes problems

  13. Class 13: Ratio and Proportion (3/3)

    Ratio and Proportion (விகிதம் மற்றும் விகிதாச்சாரம்)

    • Mixtures and alligation basics
    • Income and expenditure ratios
    • Practice with previous TNPSC questions

  14. Class 14: Age Problems

    Age Problems (வயது கணக்குகள்)

    • Present, past and future ages
    • Ratio-based age problems
    • Average age problems and practice

  15. Class 15: Percentage (1/3)

    Percentage (விழுக்காடு)

    • Fractions and percentages
    • Percentage of a quantity
    • One quantity as a percentage of another

  16. Class 16: Percentage (2/3)

    Percentage (விழுக்காடு)

    • Percentage increase and decrease
    • Successive percentage changes
    • Population growth and depreciation

  17. Class 17: Percentage (3/3)

    Percentage (விழுக்காடு)

    • Elections and examination (pass mark) problems
    • Price, consumption and expenditure
    • Practice with previous TNPSC questions

  18. Class 18: Profit and Loss (1/3)

    Profit and Loss (இலாபம் & நட்டம்)

    • Cost price, selling price, profit and loss
    • Profit and loss percentage
    • Finding cost price or selling price

  19. Class 19: Profit and Loss (2/3)

    Profit and Loss (இலாபம் & நட்டம்)

    • Marked price and discount
    • Successive discounts
    • Dishonest dealer (false weights)

  20. Class 20: Profit and Loss (3/3)

    Profit and Loss (இலாபம் & நட்டம்)

    • Buying and selling articles in groups
    • Two articles sold at the same price
    • Practice with previous TNPSC questions

  21. Class 21: Simple Interest (1/3)

    Simple Interest (தனிவட்டி)

    • SI = PNR/100 and the amount
    • Finding principal, rate and time

  22. Class 22: Simple Interest (2/3)

    Simple Interest (தனிவட்டி)

    • Sum doubling and tripling
    • Different rates for different periods
    • Instalment basics

  23. Class 23: Simple Interest (3/3)

    Simple Interest (தனிவட்டி)

    • Mixed practice
    • Previous TNPSC questions

  24. Class 24: Compound Interest (1/3)

    Compound Interest (கூட்டுவட்டி)

    • Compound interest and amount (annual)
    • Difference between CI and SI for 2 and 3 years

  25. Class 25: Compound Interest (2/3)

    Compound Interest (கூட்டுவட்டி)

    • Half-yearly and quarterly compounding
    • Different rates in different years
    • Population growth and depreciation

  26. Class 26: Compound Interest (3/3)

    Compound Interest (கூட்டுவட்டி)

    • Finding rate and time
    • Practice with previous TNPSC questions

  27. Class 27: Direct, Inverse and Compound Variation (1/2)

    Direct, Inverse and Compound Variation (நேர்மாறல், எதிர்மாறல், கலப்புமாறல்)

    • Direct variation
    • Inverse variation
    • Problems on cost, speed and time

  28. Class 28: Direct, Inverse and Compound Variation (2/2) + Time and Work (1/4)

    First hour: Direct, Inverse and Compound Variation (நேர்மாறல், எதிர்மாறல், கலப்புமாறல்)

    • Compound variation: men, days, hours and work

    Second hour: Time and Work (காலம் மற்றும் வேலை)

    • Work done per day (rate of work)
    • One person working alone

  29. Class 29: Time and Work (2/4)

    Time and Work (காலம் மற்றும் வேலை)

    • Two or more people working together
    • One person leaving midway
    • Comparing efficiency

  30. Class 30: Time and Work (3/4)

    Time and Work (காலம் மற்றும் வேலை)

    • Sharing wages by work done
    • Men, women and children problems
    • Work in groups and shifts

  31. Class 31: Time and Work (4/4) + Pipe Problems

    First hour: Time and Work (காலம் மற்றும் வேலை)

    • Practice with previous TNPSC questions

    Second hour: Pipe Problems (குழாய் கணக்குகள்)

    • Inlet and outlet pipes
    • Filling and emptying together
    • Leaks

  32. Class 32: Mensuration (1/5)

    Mensuration (அளவியல்)

    • Perimeter and area: rectangle, square, triangle (including Heron's formula)
    • Parallelogram, rhombus and trapezium

  33. Class 33: Mensuration (2/5)

    Mensuration (அளவியல்)

    • Circle, semicircle, quadrant and sector
    • Rings and pathways around fields

  34. Class 34: Mensuration (3/5)

    Mensuration (அளவியல்)

    • Cube and cuboid
    • Cylinder: volume, curved and total surface area

  35. Class 35: Mensuration (4/5)

    Mensuration (அளவியல்)

    • Cone, sphere and hemisphere
    • Hollow cylinder
    • Melting and recasting

  36. Class 36: Mensuration (5/5) + Statistics (1/4)

    First hour: Mensuration (அளவியல்)

    • Practice with previous TNPSC questions

    Second hour: Statistics (புள்ளியியல்)

    • Mean, median and mode of raw data

  37. Class 37: Statistics (2/4)

    Statistics (புள்ளியியல்)

    • Mean of grouped data: direct and assumed mean methods
    • Weighted mean and combined mean

  38. Class 38: Statistics (3/4)

    Statistics (புள்ளியியல்)

    • Median and mode of grouped data
    • Range, variance and standard deviation
    • Coefficient of variation

  39. Class 39: Statistics (4/4) + Probability (1/2)

    First hour: Statistics (புள்ளியியல்)

    • Practice with previous TNPSC questions

    Second hour: Probability (நிகழ்தகவு)

    • Sample space and events
    • Basic probability

  40. Class 40: Probability (2/2)

    Probability (நிகழ்தகவு)

    • Coins, dice and playing cards
    • Complementary events and the addition rule
    • Practice with previous TNPSC questions

Part B: Mental Ability (மனக்கணக்கு நுண்ணறிவு)

10 questions in the exam · 5 classes

  1. Class 41: Blood Relations + Ranking

    First hour: Blood Relations (இரத்த உறவுகள்)

    • Family trees
    • Coded relationships

    Second hour: Ranking (தரவரிசை)

    • Position from left/right and top/bottom
    • Interchanging positions

  2. Class 42: Calendar + Dice

    First hour: Calendar (கால அளவைகள்)

    • Odd days and leap years
    • Finding the day of the week

    Second hour: Dice (பகடை)

    • Opposite faces
    • Standard and open dice

  3. Class 43: Water and Mirror Images + Directions

    First hour: Water and Mirror Images (நீர் பிம்பம் & கண்ணாடி பிம்பம்)

    • Water images
    • Mirror images, including clocks

    Second hour: Directions (திசைகள்)

    • Distance and direction from a starting point
    • Shadows and turns

  4. Class 44: Analogy, Classification, Dictionary Order and Word Formation + Coding-Decoding and Venn Diagrams

    First hour: Analogy, Classification, Dictionary Order and Word Formation (ஒத்த தன்மை, வகைப்படுத்துதல், அகராதி வரிசையாக்கம், வார்த்தை உருவாக்கம்)

    • Number and word analogies
    • Odd one out
    • Dictionary order and forming words

    Second hour: Coding-Decoding and Venn Diagrams (குறியீடும் மறு குறியீடும், வெண்படம் வரைதல்)

    • Letter and number coding
    • Venn diagram reasoning

  5. Class 45: Number and Letter Series, Visual Reasoning + Analysis and Puzzles

    First hour: Number and Letter Series, Visual Reasoning (எண், எழுத்து தொடர் வரிசை, காட்சி காரணவியல்)

    • Number and letter series
    • Picture-based reasoning

    Second hour: Analysis and Puzzles (பகுப்பாய்வு, புதிர்கள்)

    • Data analysis questions
    • Seating and arrangement puzzles
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