📘 BANK EXAM SPEED MATHS – PAGE 11

🔹 Advanced Simplification & Approximation

This section focuses on high-level approximation and simplification questions frequently asked in IBPS and SBI exams. Speed and accuracy are crucial at this level.

✅ Trick 1: Smart Rounding with Balance

Example: 502 × 198

• 502 ≈ 500
• 198 ≈ 200
• 500 × 200 = 100000
• Adjust: Slight overestimation → Final ≈ 99500

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✅ Trick 2: Difference of Squares Shortcut

Formula: a² − b² = (a − b)(a + b)

Example: 104² − 96²

• (104 − 96)(104 + 96)
• 8 × 200 = 1600

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✅ Trick 3: Fraction Approximation

Example: 398 ÷ 19

• 398 ≈ 380
• 380 ÷ 19 = 20

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✅ Trick 4: Percentage Mix Approximation

Example: 49% of 398

• 50% of 398 = 199
• Adjust −1% ≈ 4
• Answer ≈ 195

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🔹 Tough Practice Questions

1. 498 × 202 ≈ ?
2. 104² − 96² = ?
3. 799 ÷ 21 ≈ ?
4. 51% of 396 ≈ ?
5. 999 × 999 ≈ ?
6. 402 × 49 ≈ ?
7. 125 × 48 × 2 = ?
8. 1001 × 97 = ?

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🔹 Quick Answers

• 1. ≈ 100600
• 2. 1600
• 3. ≈ 38
• 4. ≈ 202
• 5. ≈ 998001
• 6. ≈ 19700
• 7. 12000
• 8. 97097

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🔹 Exam Tips

✔ Always balance approximation (don’t over-round both sides)
✔ Use algebraic identities for faster solving
✔ Practice high-value multiplication shortcuts
✔ Focus on speed + accuracy combination

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