Shaktimatha Learning Ultimate Bank Exam Practice Material Complete Library 2026

 

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Shaktimatha Learning

Ultimate Bank Exam Practice Material Series 2026

Complete Quantitative Aptitude Practice Library with Speed Maths, Shortcut Tricks, Important Formulas, Practice Questions, and Competitive Exam Preparation Materials for Bank Exams, SSC, Railways, Insurance, and Government Jobs.

20 Complete Pages

Structured Quantitative Aptitude learning series with formulas, tricks, and practice sets.

Speed Maths

Shortcut methods, quick calculations, approximation techniques, and fast solving concepts.

Practice Questions

Important exam-level practice questions with simple explanations and methods.

Competitive Exams

Useful for IBPS, SBI, RRB, SSC, Railways, Insurance, and other competitive exams.

Bank Exam Practice Material Complete Library

Page 1 – Simplification Tricks

Shortcut methods, BODMAS, fast calculations, and important formulas.

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Page 2 – Number Series

Missing number tricks, sequence methods, and logical series concepts.

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Page 3 – Quadratic Equations

Roots, factorization shortcuts, and equation solving techniques.

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Page 4 – Approximation

Nearest value tricks, simplification methods, and fast calculations.

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Page 5 – Arithmetic Word Problems

Logical arithmetic methods and practical problem-solving tricks.

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Page 6 – Profit & Loss

Profit percentage tricks, discount concepts, and shortcut calculations.

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Page 7 – Time & Work

Efficiency concepts, work ratios, and quick solving techniques.

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Page 8 – Time, Speed & Distance

Speed formulas, train problems, and distance calculation shortcuts.

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Page 9 – Ratio & Proportion

Ratio comparison methods, proportion shortcuts, and fraction tricks.

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Page 10 – Average

Average shortcut tricks, weighted averages, and fast solving concepts.

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Page 11 – Simple Interest

Interest calculations, percentage shortcuts, and financial maths concepts.

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Page 12 – Compound Interest

Growth calculations, multiplier methods, and CI shortcut tricks.

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Page 13 – Partnership

Investment ratio methods and profit-sharing calculation tricks.

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Page 14 – Mixture & Alligation

Mixture ratio tricks, replacement methods, and alligation shortcuts.

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Page 15 – Probability

Dice, cards, coin toss concepts, and probability shortcut methods.

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Page 16 – Simplification & Approximation

Quick maths techniques, approximation tricks, and calculation speed methods.

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Page 17 – Algebra Basics

Identities, equations, factorization, and algebra shortcut tricks.

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Page 18 – Geometry Basics

Angles, triangles, circles, and geometry formula shortcuts.

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Page 19 – Mensuration

Area, volume, perimeter, and mensuration shortcut calculations.

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Page 20 – Data Interpretation

Table DI, graph analysis, percentage calculations, and data shortcuts.

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Why This Library is Important

• Complete Quantitative Aptitude Preparation
• Useful for Beginners and Advanced Learners
• Shortcut Tricks for Faster Problem Solving
• Practice Questions with Formula Revision
• Structured Learning for Competitive Exams
• SEO and AdSense Friendly Educational Content

Shaktimatha Learning

Empowering Competitive Exam Aspirants Through Smart Learning, Speed Maths, and Consistent Practice.

Bank Exam Practice Material Complete Library 2026

Bank Exam Practice Material Series Page 20 | Data Interpretation Tricks, Speed Maths & Important Concepts

 

Bank Exam Practice Material Series – Page 20

Data Interpretation Tricks, Speed Maths & Important Concepts

Shaktimatha Learning – Quantitative Aptitude Practice Hub
Learn Data Interpretation shortcut tricks, table analysis methods, percentage calculations, graph concepts, and fast solving techniques for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

Importance of Data Interpretation

Data Interpretation is one of the highest-scoring sections in competitive exams. This topic helps students improve:

• Analytical thinking ability
• Calculation speed
• Percentage analysis
• Logical reasoning
• Decision-making skills

Important Data Interpretation Concepts

• Table DI
• Bar Graph Analysis
• Pie Chart Calculations
• Line Graph Interpretation
• Percentage Comparison
• Ratio & Average Analysis

Percentage Formula

0

Average Formula

1

Speed Tricks for Data Interpretation

Percentage Shortcut Trick

Total students = 500

Passed students = 350

Find pass percentage.

(350 ÷ 500) × 100

0.7 × 100

Answer = 70%

Average Calculation Trick

Sales in 5 months:

20, 30, 40, 50, 60

Total = 200

200 ÷ 5

Answer = 40

Ratio Comparison Trick

Income = 8000

Expense = 6000

Ratio:

8000 : 6000

Divide by 2000

Answer = 4 : 3

Important Percentage Values

Fraction	Percentage	Decimal	Ratio
1/2	50%	0.5	1 : 2
1/4	25%	0.25	1 : 4
3/4	75%	0.75	3 : 4
2/5	40%	0.4	2 : 5

Practice Questions

Question 1

Total employees = 800

Female employees = 320

Find percentage of female employees.

(320 ÷ 800) × 100

Answer = 40%

Question 2

Monthly sales:

50, 60, 70, 80, 90

Find average sales.

Total = 350

350 ÷ 5

Answer = 70

Question 3

Income = 12000

Expense = 9000

Find ratio.

12000 : 9000

Answer = 4 : 3

Question 4

Total marks = 1000

Obtained marks = 850

Find percentage.

(850 ÷ 1000) × 100

Answer = 85%

Question 5

Production values:

100, 120, 140, 160, 180

Find average production.

Total = 700

700 ÷ 5

Answer = 140

Important Exam Tips

• Practice percentage calculations daily
• Improve table reading speed
• Memorize fraction-percentage conversions
• Use shortcut average methods
• Focus equally on speed and accuracy

Fast Formula Revision

Topic	Formula
Percentage	(Value / Total) × 100
Average	Sum / Number
Ratio	Comparison Method
Fraction to Percentage	Fraction × 100
DI Analysis	Read Carefully & Compare

Daily Practice Strategy

• Practice 20 DI questions daily
• Revise percentage concepts regularly
• Improve calculation speed
• Practice shortcut solving methods
• Focus equally on speed and accuracy

Smart analysis and regular practice improve competitive exam success.

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Bank Exam Practice Material Series

Bank Exam Practice Material Series Page 19 | Mensuration Tricks, Speed Maths & Important Concepts

 

Bank Exam Practice Material Series – Page 19

Mensuration Tricks, Speed Maths & Important Concepts

Shaktimatha Learning – Quantitative Aptitude Practice Hub
Learn Mensuration shortcut tricks, area and volume formulas, perimeter concepts, and fast solving techniques for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

Importance of Mensuration

Mensuration is one of the most important quantitative aptitude topics in competitive exams. This topic helps students improve:

• Formula application skills
• Logical reasoning ability
• Calculation accuracy
• Problem-solving speed
• Visualization concepts

Important Mensuration Concepts

• Area of Shapes
• Perimeter Calculations
• Volume of Solids
• Surface Area
• Cylinder & Cube Concepts
• Circle Measurements

Area of Rectangle Formula

0

Volume of Cube Formula

1

Speed Tricks for Mensuration

Rectangle Area Trick

Length = 25 cm

Breadth = 12 cm

Area:

25 × 12

Answer = 300 cm²

Cube Volume Trick

Side = 5 cm

Volume:

5 × 5 × 5

Answer = 125 cm³

Circle Area Trick

Radius = 7 cm

Area:

2

22/7 × 7 × 7

Answer = 154 cm²

Important Mensuration Formulas

Shape	Formula
Rectangle Area	Length × Breadth
Square Area	Side²
Circle Area	πr²
Cube Volume	Side³
Cylinder Volume	πr²h

Practice Questions

Question 1

Find area of rectangle:

Length = 18 cm

Breadth = 9 cm

18 × 9

Answer = 162 cm²

Question 2

Find volume of cube:

Side = 4 cm

4³

Answer = 64 cm³

Question 3

Find area of square:

Side = 15 cm

15 × 15

Answer = 225 cm²

Question 4

Find area of circle:

Radius = 14 cm

22/7 × 14 × 14

Answer = 616 cm²

Question 5

Find volume of cylinder:

Radius = 7 cm

Height = 10 cm

22/7 × 7 × 7 × 10

Answer = 1540 cm³

Important Exam Tips

• Memorize all mensuration formulas carefully
• Practice area and volume calculations daily
• Improve multiplication speed regularly
• Use shortcut solving methods
• Focus equally on speed and accuracy

Fast Formula Revision

Topic	Formula
Rectangle Area	Length × Breadth
Square Area	Side²
Circle Area	πr²
Cube Volume	Side³
Cylinder Volume	πr²h

Daily Practice Strategy

• Practice 20 Mensuration questions daily
• Revise formulas regularly
• Improve calculation speed
• Practice shortcut solving methods
• Focus equally on speed and accuracy

Strong formulas and regular practice improve competitive exam success.

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Bank Exam Practice Material Series

Bank Exam Practice Material Series Page 18 | Geometry Basics Tricks, Speed Maths & Important Concepts

 

Bank Exam Practice Material Series – Page 18

Geometry Basics Tricks, Speed Maths & Important Concepts

Shaktimatha Learning – Quantitative Aptitude Practice Hub
Learn Geometry shortcut tricks, angle concepts, triangle properties, circle formulas, and fast solving techniques for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

Importance of Geometry Basics

Geometry is one of the most important mathematical topics in competitive exams. This topic helps students improve:

• Logical visualization ability
• Problem-solving speed
• Analytical reasoning
• Calculation accuracy
• Conceptual understanding

Important Geometry Concepts

• Angles & Lines
• Triangles
• Circles
• Quadrilaterals
• Perimeter & Area
• Polygon Basics

Triangle Angle Sum Formula

0

Area of Triangle Formula

1

Speed Tricks for Geometry

Triangle Angle Trick

Two angles of a triangle are:

50° and 60°

Third angle:

180° − (50° + 60°)

180° − 110°

Answer = 70°

Rectangle Area Trick

Length = 20 cm

Breadth = 10 cm

Area:

20 × 10

Answer = 200 cm²

Circle Circumference Trick

Radius = 7 cm

Circumference:

2

2 × 22/7 × 7

Answer = 44 cm

Important Geometry Formulas

Shape	Formula
Rectangle Area	Length × Breadth
Square Area	Side × Side
Triangle Area	½ × Base × Height
Circle Area	πr²
Circle Circumference	2πr

Practice Questions

Question 1

Find third angle of triangle:

40° and 80°

180° − 120°

Answer = 60°

Question 2

Find area of rectangle:

Length = 15 cm

Breadth = 8 cm

15 × 8

Answer = 120 cm²

Question 3

Find area of square:

Side = 12 cm

12 × 12

Answer = 144 cm²

Question 4

Find circumference of circle:

Radius = 14 cm

2 × 22/7 × 14

Answer = 88 cm

Question 5

Find area of triangle:

Base = 20 cm

Height = 12 cm

½ × 20 × 12

Answer = 120 cm²

Important Exam Tips

• Memorize geometry formulas carefully
• Practice angle-based questions daily
• Improve calculation speed regularly
• Use shortcut formula methods
• Focus equally on speed and accuracy

Fast Formula Revision

Topic	Formula
Triangle Angle Sum	180°
Rectangle Area	Length × Breadth
Square Area	Side²
Circle Circumference	2πr
Triangle Area	½ × Base × Height

Daily Practice Strategy

• Practice 20 Geometry questions daily
• Revise formulas regularly
• Improve diagram visualization skills
• Practice shortcut solving methods
• Focus equally on speed and accuracy

Strong concepts and regular practice improve competitive exam performance.

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Bank Exam Practice Material Series

Bank Exam Practice Material Series Page 17 | Algebra Basics Tricks, Speed Maths & Important Concepts

 

Bank Exam Practice Material Series – Page 17

Algebra Basics Tricks, Speed Maths & Important Concepts

Shaktimatha Learning – Quantitative Aptitude Practice Hub
Learn Algebra shortcut tricks, equation solving methods, identities, factorization concepts, and fast solving techniques for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

Importance of Algebra Basics

Algebra is one of the core mathematical foundations in competitive exams. This topic helps students improve:

• Logical thinking ability
• Equation solving speed
• Analytical reasoning
• Calculation accuracy
• Problem-solving efficiency

Important Algebra Concepts

• Linear Equations
• Algebraic Identities
• Factorization
• Value Substitution
• Quadratic Basics
• Simplification of Expressions

Basic Algebra Identity

0

Difference of Squares Formula

1

Speed Tricks for Algebra

Identity Shortcut Trick

Find:

(10 + 2)²

Using identity:

10² + 2 × 10 × 2 + 2²

100 + 40 + 4

Answer = 144

Equation Solving Trick

Solve:

x + 15 = 30

Move 15 to other side:

x = 30 − 15

Answer = 15

Difference of Squares Trick

Find:

25² − 15²

Using formula:

(25 − 15)(25 + 15)

10 × 40

Answer = 400

Important Algebra Identities

Identity	Formula
Square of Sum	(a + b)² = a² + 2ab + b²
Square of Difference	(a − b)² = a² − 2ab + b²
Difference of Squares	a² − b² = (a − b)(a + b)
Cube of Sum	(a + b)³
Cube of Difference	(a − b)³

Practice Questions

Question 1

Solve:

x + 12 = 20

x = 20 − 12

Answer = 8

Question 2

Find:

(15 + 5)²

20²

Answer = 400

Question 3

Solve:

2x = 18

x = 18 ÷ 2

Answer = 9

Question 4

Find:

30² − 20²

(30 − 20)(30 + 20)

10 × 50

Answer = 500

Question 5

Solve:

x − 7 = 15

x = 15 + 7

Answer = 22

Important Exam Tips

• Memorize algebraic identities carefully
• Practice equation solving daily
• Improve multiplication speed
• Use shortcut factorization methods
• Focus equally on speed and accuracy

Fast Formula Revision

Topic	Formula
Square of Sum	a² + 2ab + b²
Square of Difference	a² − 2ab + b²
Difference of Squares	(a − b)(a + b)
Linear Equation	Variable Isolation Method
Factorization	Common Factor Method

Daily Practice Strategy

• Practice 20 Algebra questions daily
• Revise identities regularly
• Improve equation-solving speed
• Practice shortcut solving methods
• Focus equally on speed and accuracy

Strong concepts and consistent practice improve competitive exam success.

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Bank Exam Practice Material Series

Bank Exam Practice Material Series Page 16 | Simplification & Approximation Tricks, Speed Maths & Important Concepts

 

Bank Exam Practice Material Series – Page 16

Simplification & Approximation Tricks, Speed Maths & Important Concepts

Shaktimatha Learning – Quantitative Aptitude Practice Hub
Learn Simplification & Approximation shortcut tricks, fast calculation methods, BODMAS concepts, square and cube shortcuts, and quick solving techniques for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

Importance of Simplification & Approximation

Simplification & Approximation are among the highest-scoring topics in competitive exams. These topics help students improve:

• Calculation speed
• Mental maths ability
• Accuracy improvement
• Time management
• Shortcut solving skills

Important Simplification Concepts

• BODMAS Rule
• Square & Cube Values
• Approximation Methods
• Division Shortcuts
• Multiplication Tricks
• Fraction Simplification

BODMAS Rule

Bracket → Of → Division → Multiplication → Addition → Subtraction

Approximation Formula

0

Speed Tricks for Simplification

Multiplication Shortcut Trick

Find:

25 × 25

Shortcut:

25² = 625

Answer = 625

Approximation Trick

498 + 203

Approximate:

500 + 200

Answer ≈ 700

Division Shortcut Trick

1000 ÷ 25

Since 25 × 4 = 100

1000 ÷ 25 = 40

Answer = 40

Important Square Values

Number	Square	Number	Square
11	121	16	256
12	144	17	289
13	169	18	324
14	196	19	361
15	225	20	400

Practice Questions

Question 1

Simplify:

25 × 16

25 × 4 × 4

100 × 4

Answer = 400

Question 2

Approximate:

997 + 202

1000 + 200

Answer ≈ 1200

Question 3

Find:

18²

Answer = 324

Question 4

Simplify:

2000 ÷ 50

Answer = 40

Question 5

Approximate:

49 × 21

50 × 20

Answer ≈ 1000

Important Exam Tips

• Memorize square values regularly
• Practice approximation techniques daily
• Improve multiplication speed
• Use BODMAS carefully
• Focus equally on speed and accuracy

Fast Formula Revision

Topic	Formula / Rule
BODMAS	Bracket → Of → Division → Multiplication → Addition → Subtraction
Approximation	Nearest Value Method
Square	Number × Number
Division Shortcut	Use Factor Method
Multiplication Shortcut	Break into Easy Factors

Daily Practice Strategy

• Practice 20 Simplification questions daily
• Revise square and cube values regularly
• Improve mental maths speed
• Practice shortcut solving methods
• Focus equally on speed and accuracy

Fast calculations and regular practice improve competitive exam performance.

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Bank Exam Practice Material Series

Bank Exam Practice Material Series Page 15 | Probability Tricks, Speed Maths & Important Concepts

 

Bank Exam Practice Material Series – Page 15

Probability Tricks, Speed Maths & Important Concepts

Shaktimatha Learning – Quantitative Aptitude Practice Hub
Learn Probability shortcut tricks, event calculation methods, dice and card concepts, and fast solving techniques for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

Importance of Probability

Probability is one of the most important arithmetic and reasoning topics in competitive exams. This topic helps students improve:

• Logical reasoning ability
• Analytical thinking
• Decision-making skills
• Calculation speed
• Problem-solving accuracy

Important Probability Concepts

• Basic Probability
• Favorable Outcomes
• Total Outcomes
• Dice Problems
• Card Probability
• Coin Toss Probability

Basic Probability Formula

0

Complementary Probability Formula

1

Speed Tricks for Probability

Dice Probability Trick

Find probability of getting an even number on a die.

Even numbers:

2, 4, 6

Favorable outcomes = 3

Total outcomes = 6

2

Answer = 1/2

Coin Toss Trick

Find probability of getting Head.

Possible outcomes:

Head, Tail

Favorable outcome = 1

Total outcomes = 2

Answer = 1/2

Card Probability Trick

Find probability of drawing a King from a deck of cards.

Total Kings = 4

Total cards = 52

3

Answer = 1/13

Important Fraction & Percentage Values

Fraction	Percentage	Decimal	Probability Meaning
1/2	50%	0.5	Equal Chance
1/4	25%	0.25	Low Chance
3/4	75%	0.75	High Chance
1	100%	1.0	Certain Event

Practice Questions

Question 1

Find probability of getting an odd number on a die.

Odd numbers:

1, 3, 5

Favorable outcomes = 3

Total outcomes = 6

Answer = 1/2

Question 2

Find probability of getting Tail in a coin toss.

Favorable outcome = 1

Total outcomes = 2

Answer = 1/2

Question 3

Find probability of drawing a Queen from a deck.

Queens = 4

Cards = 52

Answer = 1/13

Question 4

Find probability of getting number greater than 4 on a die.

Numbers:

5, 6

Favorable outcomes = 2

Total outcomes = 6

Answer = 1/3

Question 5

Find probability of impossible event.

Answer = 0

Important Exam Tips

• Memorize total outcomes carefully
• Practice dice and card problems daily
• Improve fraction simplification speed
• Use shortcut counting methods
• Focus on both accuracy and speed

Fast Formula Revision

Topic	Formula
Probability	Favorable Outcomes / Total Outcomes
Complementary Probability	1 − P(A)
Certain Event	Probability = 1
Impossible Event	Probability = 0
Equal Chance	Probability = 1/2

Daily Practice Strategy

• Practice 20 Probability questions daily
• Revise dice and card concepts regularly
• Improve fraction calculations
• Practice shortcut solving methods
• Focus equally on speed and accuracy

Strong concepts and regular practice improve success in competitive exams.

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Bank Exam Practice Material Series

Bank Exam Practice Material Series Page 14 | Mixture & Alligation Tricks, Speed Maths & Important Concepts

 

Bank Exam Practice Material Series – Page 14

Mixture & Alligation Tricks, Speed Maths & Important Concepts

Shaktimatha Learning – Quantitative Aptitude Practice Hub
Learn Mixture & Alligation shortcut tricks, ratio methods, replacement concepts, and fast solving techniques for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

Importance of Mixture & Alligation

Mixture & Alligation is one of the most important arithmetic topics in competitive exams. This topic helps students improve:

• Ratio calculations
• Logical reasoning
• Percentage analysis
• Problem-solving speed
• Numerical accuracy

Important Mixture & Alligation Concepts

• Basic Mixture Concept
• Alligation Rule
• Replacement Method
• Ratio Comparison
• Cost Price Mixing
• Percentage Mixing

Alligation Formula

0

Mixture Formula

1

Speed Tricks for Mixture & Alligation

Basic Alligation Trick

Milk price = 40 per litre

Water price = 0

Mean price = 30

Ratio:

(40 − 30) : (30 − 0)

10 : 30

Answer = 1 : 3

Replacement Trick

A vessel contains 100 litres milk.

20 litres removed and replaced with water.

Remaining milk:

2

Answer = 80 litres

Mean Value Trick

Two mixtures:

• 20 litres at 50 per litre
• 30 litres at 70 per litre

Total Cost:

(20 × 50) + (30 × 70)

1000 + 2100 = 3100

Mean Price:

3100 ÷ 50

Answer = 62 per litre

Important Fraction & Percentage Values

Fraction	Percentage	Decimal	Ratio
1/2	50%	0.5	1 : 2
1/4	25%	0.25	1 : 4
3/4	75%	0.75	3 : 4
2/5	40%	0.4	2 : 5

Practice Questions

Question 1

A mixture contains milk and water in ratio 4 : 1.

Find percentage of water.

Total ratio = 5

(1/5) × 100

Answer = 20%

Question 2

Two liquids priced at 40 and 60 are mixed.

Mean price = 50

Find ratio.

(60 − 50) : (50 − 40)

Answer = 1 : 1

Question 3

A vessel contains 200 litres milk.

50 litres removed.

Find remaining milk.

200 − 50

Answer = 150 litres

Question 4

Two varieties priced at 80 and 100 are mixed.

Mean price = 90

Find ratio.

10 : 10

Answer = 1 : 1

Question 5

Find mean price:

• 10 litres at 40 per litre
• 20 litres at 50 per litre

Total cost:

400 + 1000 = 1400

1400 ÷ 30

Answer = 46.67 per litre

Important Exam Tips

• Practice alligation shortcut methods regularly
• Memorize percentage conversions carefully
• Improve multiplication and division speed
• Use ratio simplification tricks
• Focus on both speed and accuracy

Fast Formula Revision

Topic	Formula
Alligation Ratio	Difference Method
Mean Price	Total Cost / Total Quantity
Replacement	Remaining Quantity Method
Mixture Ratio	Lower Difference : Higher Difference
Percentage	(Part / Total) × 100

Daily Practice Strategy

• Practice 20 Mixture & Alligation questions daily
• Revise ratio concepts regularly
• Improve percentage calculations
• Practice shortcut solving methods
• Focus equally on speed and accuracy

Smart calculations and strong concepts improve competitive exam performance.

Powered by Shaktimatha Learning
Bank Exam Practice Material Series

Bank Exam Practice Material Series Page 13 | Partnership Tricks, Speed Maths & Important Concepts

 

Bank Exam Practice Material Series – Page 13

Partnership Tricks, Speed Maths & Important Concepts

Shaktimatha Learning – Quantitative Aptitude Practice Hub
Learn Partnership shortcut tricks, investment ratio methods, profit-sharing concepts, and fast solving techniques for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

Importance of Partnership

Partnership is one of the most important arithmetic topics in competitive exams. This topic helps students improve:

• Profit-sharing calculations
• Ratio analysis
• Logical reasoning
• Investment understanding
• Calculation speed

Important Partnership Concepts

• Investment Ratio
• Time Ratio
• Profit Sharing
• Working Partner
• Sleeping Partner
• Combined Investment Concept

Basic Partnership Formula

0

Profit Distribution Formula

1

Speed Tricks for Partnership

Basic Partnership Trick

A invests 5000 for 12 months.

B invests 3000 for 12 months.

Profit ratio:

5000 : 3000

Simplify:

Answer = 5 : 3

Investment & Time Trick

A invests 4000 for 6 months.

B invests 3000 for 8 months.

Ratio:

4000 × 6 : 3000 × 8

24000 : 24000

Answer = 1 : 1

Profit Sharing Trick

Profit = 8000

Ratio = 3 : 5

Total ratio = 8

A's Share:

(3/8) × 8000 = 3000

B's Share:

(5/8) × 8000 = 5000

Important Ratio Values

Ratio	Fraction	Percentage	Decimal
1 : 2	1/2	50%	0.5
1 : 4	1/4	25%	0.25
3 : 4	3/4	75%	0.75
2 : 5	2/5	40%	0.4

Practice Questions

Question 1

A invests 6000 and B invests 4000.

Find partnership ratio.

6000 : 4000

Answer = 3 : 2

Question 2

Profit = 12000

Ratio = 2 : 4

Find smaller share.

(2/6) × 12000

Answer = 4000

Question 3

A invests 5000 for 10 months.

B invests 2500 for 10 months.

Find ratio.

Answer = 2 : 1

Question 4

Profit = 9000

Ratio = 1 : 2

Find larger share.

(2/3) × 9000

Answer = 6000

Question 5

A invests 3000 for 12 months.

B invests 6000 for 6 months.

Find partnership ratio.

3000 × 12 : 6000 × 6

36000 : 36000

Answer = 1 : 1

Important Exam Tips

• Learn investment-time multiplication carefully
• Practice ratio simplification daily
• Improve multiplication speed regularly
• Use shortcut profit-sharing methods
• Focus on accuracy with speed

Fast Formula Revision

Topic	Formula
Profit Ratio	Investment × Time
Profit Share	(Individual Ratio / Total Ratio) × Profit
Investment Ratio	Capital Comparison
Time Ratio	Working Duration Comparison
Simplification	Divide by Common Factor

Daily Practice Strategy

• Practice 20 Partnership questions daily
• Revise ratio concepts regularly
• Improve calculation speed
• Practice shortcut solving methods
• Focus equally on speed and accuracy

Strong concepts and regular practice improve competitive exam success.

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Bank Exam Practice Material Series

Bank Exam Practice Material Series Page 12 | Compound Interest Tricks, Speed Maths & Important Concepts

 

Bank Exam Practice Material Series – Page 12

Compound Interest Tricks, Speed Maths & Important Concepts

Shaktimatha Learning – Quantitative Aptitude Practice Hub
Learn Compound Interest shortcut tricks, amount calculations, growth formulas, and fast solving techniques for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

Importance of Compound Interest

Compound Interest is one of the most important arithmetic topics in competitive exams. This topic helps students improve:

• Percentage calculations
• Financial mathematics understanding
• Logical reasoning
• Calculation speed
• Problem-solving ability

Important Compound Interest Concepts

• Principal Amount
• Rate of Interest
• Time Period
• Compound Amount
• Growth Percentage
• Difference Between SI & CI

Compound Interest Formula

0

Compound Interest Calculation

1

Speed Tricks for Compound Interest

Compound Interest Shortcut

Principal = 1000

Rate = 10%

Time = 2 years

Calculation:

2

1000 × (1.1)²

1000 × 1.21

Amount = 1210

Compound Interest = 210

Growth Percentage Trick

If value increases by 20%:

Multiply by:

1.20

If value decreases by 20%:

Multiply by:

0.80

Difference Between SI & CI

Principal = 1000

Rate = 10%

Time = 2 years

Simple Interest = 200

Compound Interest = 210

Difference = 10

Important Percentage Growth Values

Percentage	Multiplier	Percentage	Multiplier
10%	1.10	20%	1.20
25%	1.25	50%	1.50
5%	1.05	15%	1.15

Practice Questions

Question 1

Principal = 2000

Rate = 10%

Time = 2 years

Find Amount

3

Answer = 2420

Question 2

Principal = 5000

Amount = 6050

Find Compound Interest

6050 − 5000

Answer = 1050

Bank Exam Practice Material Series Page 11 | Simple Interest Tricks, Speed Maths & Important Concepts

 

Bank Exam Practice Material Series – Page 11

Simple Interest Tricks, Speed Maths & Important Concepts

Shaktimatha Learning – Quantitative Aptitude Practice Hub
Learn Simple Interest shortcut tricks, principal calculations, interest percentage methods, and fast solving techniques for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

Importance of Simple Interest

Simple Interest is one of the most important arithmetic topics in competitive exams. This topic helps students improve:

• Percentage calculations
• Financial mathematics understanding
• Calculation speed
• Logical reasoning
• Problem-solving ability

Important Simple Interest Concepts

• Principal Amount
• Rate of Interest
• Time Period
• Interest Calculation
• Total Amount
• Percentage Concepts

Simple Interest Formula

0

Amount Formula

1

Speed Tricks for Simple Interest

Simple Interest Shortcut

Principal = 1000

Rate = 10%

Time = 2 years

Calculation:

2

Answer = 200

Amount Calculation Trick

Principal = 5000

Simple Interest = 1000

Amount = 5000 + 1000

Answer = 6000

Rate Calculation Trick

Simple Interest = 300

Principal = 1500

Time = 2 years

Calculation:

3

Answer = 10%

Important Percentage Values

Fraction	Percentage	Decimal	Ratio
1/2	50%	0.5	1 : 2
1/4	25%	0.25	1 : 4
1/5	20%	0.2	1 : 5
3/4	75%	0.75	3 : 4

Practice Questions

Question 1

Find Simple Interest:

Principal = 2000

Rate = 5%

Time = 3 years

4

Answer = 300

Question 2

Principal = 4000

Simple Interest = 800

Find Amount

4000 + 800

Answer = 4800

Question 3

Find Rate:

SI = 500

Principal = 2500

Time = 2 years

5

Answer = 10%

Question 4

Find Time:

SI = 600

Principal = 3000

Rate = 10%

6

Answer = 2 years

Question 5

Principal = 5000

Rate = 8%

Time = 2 years

Find Amount

Simple Interest = 800

Amount = 5000 + 800

Answer = 5800

Important Exam Tips

• Memorize Simple Interest formulas carefully
• Practice percentage calculations daily
• Improve multiplication speed regularly
• Use shortcut methods for quick solving
• Focus on accuracy with speed

Fast Formula Revision

Topic	Formula
Simple Interest	(P × R × T) / 100
Amount	Principal + SI
Rate	(SI × 100) / (P × T)
Time	(SI × 100) / (P × R)
Principal	(SI × 100) / (R × T)

Daily Practice Strategy

• Practice 20 Simple Interest questions daily
• Revise formulas regularly
• Improve percentage calculations
• Practice shortcut solving methods
• Focus on speed and accuracy equally

Strong concepts and regular practice improve competitive exam performance.

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Bank Exam Practice Material Series

Bank Exam Practice Material Series Page 10 | Average Tricks, Speed Maths & Important Concepts

 

Bank Exam Practice Material Series – Page 10

Average Tricks, Speed Maths & Important Concepts

Shaktimatha Learning – Quantitative Aptitude Practice Hub
Learn Average shortcut tricks, fast calculation methods, weighted averages, and important concepts for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

Importance of Average

Average is one of the most important arithmetic topics in competitive exams. This topic helps students improve:

• Calculation speed
• Logical reasoning
• Data analysis ability
• Numerical accuracy
• Problem-solving efficiency

Important Average Concepts

• Basic Average
• Weighted Average
• Combined Average
• Average Age Problems
• Average Marks Problems
• Replacement Concepts

Basic Average Formula

0

Combined Average Formula

1

Speed Tricks for Average

Basic Average Shortcut

Find average of:

10, 20, 30, 40, 50

Sum = 150

150 ÷ 5

Answer = 30

Equal Difference Trick

Average of:

20, 25, 30, 35, 40

Middle number method:

Answer = 30

Combined Average Trick

Average of Group A = 40

Number of students = 10

Total marks:

40 × 10 = 400

Important Fraction & Percentage Values

Fraction	Percentage	Decimal	Ratio
1/2	50%	0.5	1 : 2
1/4	25%	0.25	1 : 4
3/4	75%	0.75	3 : 4
2/5	40%	0.4	2 : 5

Practice Questions

Question 1

Find average of:

15, 25, 35, 45, 55

Sum = 175

175 ÷ 5

Answer = 35

Question 2

Average age of 5 students is 20 years.

Find total age.

20 × 5

Answer = 100 years

Question 3

Average of 8 numbers is 12.

Find total sum.

12 × 8

Answer = 96

Question 4

Average marks of 10 students is 60.

Find total marks.

60 × 10

Answer = 600

Question 5

Average of:

18, 22, 26, 30, 34

Middle value method

Answer = 26

Important Exam Tips

• Use middle value shortcuts for equal difference series
• Practice fast addition techniques
• Memorize average formulas carefully
• Improve multiplication speed daily
• Focus on both speed and accuracy

Fast Formula Revision

Topic	Formula
Average	Sum / Number
Total Sum	Average × Number
Combined Average	Total Sum / Total Number
Average Age	Total Age / Number
Replacement Concept	Difference × Total Members

Daily Practice Strategy

• Practice 20 Average questions daily
• Improve addition speed regularly
• Revise formulas carefully
• Practice shortcut methods
• Focus on accuracy with speed

Consistent practice and strong fundamentals create success in competitive exams.

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Bank Exam Practice Material Series