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1. Multiply by 11, 5, 25 and 50
×11: For 43 × 11, write 4 | (4+3) | 3 = 473. ×5: 84 × 5 = (84 ÷ 2) × 10 = 420. ×25: 72 × 25 = (72 ÷ 4) × 100 = 1800. ×50: 146 × 50 = (146 ÷ 2) × 100 = 7300.
2. Square Numbers Ending in 5
For any number ending in 5, multiply the left digit by (itself + 1) and append 25. Example: 75² = 7 × 8 = 56 → 5625.
3. Fraction-Percentage Conversions
Memorising key fractions saves massive time in DI and Arithmetic:
4. Division by 5, 25, 125
÷5: multiply by 2, shift decimal left once. ÷25: multiply by 4, shift decimal left twice. ÷125: multiply by 8, shift decimal left thrice.
Example: 648 ÷ 125 = 648 × 8 = 5184 → shift 3 places = 5.184.
5. Digital Sum Verification
Reduce any number to a single digit and cross-check multiplication/division answers instantly. Read the full method in our digital sum guide.
Deep-Dive Shortcut Articles
Each article below expands one high-value shortcut with diagrams, solved examples and FAQs:
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FAQs
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Last updated: June 27, 2026. For coaching in Kolkata, call +91-9804490328.
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Last updated: . For coaching and doubts, contactShortcut Maths, Jadavpur, Kolkata 700032. Call+91-9804490328.
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