📘 BANK EXAM SPEED MATHS – PAGE 12

🔹 Quadratic Equations Tricks

Quadratic equations are commonly asked in prelims and mains. Solving them quickly using factorization is the key.

✅ Trick 1: Factorization Method

Example: x² − 5x + 6 = 0

• (x − 2)(x − 3) = 0
• x = 2, 3

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✅ Trick 2: Compare Roots Quickly

Example: x² − 7x + 10 = 0

• (x − 5)(x − 2)
• Roots = 5, 2

Compare roots directly without full solving in comparison-based questions.

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🔹 Number Series Tricks

Number series questions test pattern recognition. Focus on differences, ratios, and special patterns.

✅ Trick 3: Difference Pattern

Example: 2, 6, 12, 20, ?

• Differences: 4, 6, 8
• Next = 10
• Answer = 20 + 10 = 30

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✅ Trick 4: Square Pattern

Example: 1, 4, 9, 16, ?

• Squares: 1², 2², 3², 4²
• Next = 5² = 25

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✅ Trick 5: Mixed Pattern

Example: 3, 9, 27, 81, ?

• Multiply by 3
• Next = 81 × 3 = 243

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🔹 Tough Practice Questions

1. x² − 9x + 20 = 0
2. x² − 11x + 30 = 0
3. 5, 11, 19, 29, ?
4. 2, 5, 10, 17, ?
5. 4, 6, 9, 13, ?
6. 1, 8, 27, 64, ?
7. 3, 12, 48, 192, ?

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🔹 Quick Answers

• 1. x = 4, 5
• 2. x = 5, 6
• 3. 41
• 4. 26
• 5. 18
• 6. 125
• 7. 768

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🔹 Exam Tips

✔ Use factorization instead of formula for speed
✔ Focus on pattern recognition in number series
✔ Practice different types of series regularly
✔ Avoid lengthy calculations in prelims

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