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Problems on Numbers

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Quantitative Aptitude – Problems on Numbers

Use properties of numbers, divisibility, remainder, and digit behavior to solve puzzles fast.

1. Typical Problem Types

  • Digit-based puzzles (sum, reversal, formation conditions).
  • Remainder and divisibility—use mod rules.
  • Number formation from properties (odd/even, prime digits).

2. Key Techniques

  • Use digit-sum and alternating-sum for divisibility tests.
  • Extract value of digits using system of equations based on conditions given.

3. Quick Tips

  • Translate statements into algebraic equations quickly.
  • Use placeholders for digits—let hundred’s place = a, ten’s = b, unit’s = c.
  • Use mod 3, mod 9, mod 11 quickly when remainders asked.

4. Revision Checklist

  • Understand place value representation.
  • Master remainder and divisibility rules.
  • Practice digit-puzzle equations under time limit.

Summary: Convert wordy number puzzles into simple digit equations, use mod/rule shortcuts, and validate with options to solve accurately and quickly.