Bank Exam Practice Material Series Page 3 | Quadratic Equation Practice Set with Answers & Shortcut Tricks

 

 Bank Exam Practice Material Series – Page 3

Quadratic Equation Practice Set with Answers & Shortcut Tricks

Shaktimatha Learning – Bank Exam Practice Hub
Learn Quadratic Equation shortcut tricks, algebraic identities, factorization methods, and fast aptitude solving techniques for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

 Importance of Quadratic Equations in Bank Exams

Quadratic Equations are one of the most common topics in:

• Bank Exams
• SSC
• Insurance Exams
• Railway Exams

This section tests:

• Algebra basics
• Calculation speed
• Logical comparison
• Equation solving ability

🎯 Standard Quadratic Equation Formula

0

 Quadratic Formula

1

 Shortcut Methods

Method	Usage
Factorization	Easy equations
Square root method	Perfect square equations
Formula method	Complex equations
Comparison method	Bank exam comparison questions

Practice Questions

Q1. x² − 5x + 6 = 0

Solution:

Find two numbers:

• Product = 6
• Sum = 5

Numbers: 2 and 3

(x−2)(x−3)=0

✅ x = 2, 3

Q2. x² − 9 = 0

Solution:

2

(x+3)(x−3)=0

✅ x = 3, −3

Q3. x² − 7x + 12 = 0

Solution:

Find numbers:

• Product = 12
• Sum = 7

Numbers: 3 and 4

(x−3)(x−4)=0

✅ x = 3, 4

Q4. x² − 16 = 0

Solution:

(x+4)(x−4)=0

✅ x = 4, −4

Q5. x² − 8x + 15 = 0

Solution:

Find numbers:

• Product = 15
• Sum = 8

Numbers: 3 and 5

(x−3)(x−5)=0

✅ x = 3, 5

Q6. x² − 10x + 25 = 0

Solution:

3

(x−5)²=0

✅ x = 5

Q7. x² − 13x + 40 = 0

Solution:

Find numbers:

• Product = 40
• Sum = 13

Numbers: 5 and 8

(x−5)(x−8)=0

✅ x = 5, 8

Q8. x² − 4x − 12 = 0

Solution:

Find numbers:

• Product = −12
• Sum = −4

Numbers: −6 and 2

(x−6)(x+2)=0

✅ x = 6, −2

Q9. x² − 11x + 30 = 0

Solution:

Find numbers:

• Product = 30
• Sum = 11

Numbers: 5 and 6

(x−5)(x−6)=0

✅ x = 5, 6

Q10. x² − 2x − 15 = 0

Solution:

Find numbers:

• Product = −15
• Sum = −2

Numbers: −5 and 3

(x−5)(x+3)=0

✅ x = 5, −3

Observation Tricks

Fast Methods:

• Check product & sum quickly
• Observe perfect squares
• Use difference of squares identity
• Use approximation for comparison

 Important Algebra Identities

Identity	Formula
Square Formula	(a+b)²
Difference Formula	a²−b²
Perfect Square	(a−b)²
Quadratic Formula	Standard formula

🎯 Daily Practice Strategy

• Practice factorization methods
• Revise algebraic identities
• Practice equation solving
• Solve comparison questions

This improves:

• Algebra speed
• Logical solving ability
• Exam confidence

“Strong Algebra Practice Makes Quadratic Equations Simple and Scoring.”

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Bank Exam Practice Material Series