Problems on Numbers
View Questions of Problems on Numbers
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.
Topics
- Number System
- H.C.F. & L.C.M.
- Decimal Fractions
- Simplification
- Square Roots & Cube Roots
- Average
- Problems on Numbers
- Problems on Ages
- Surds & Indices
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- Partnership
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- Time & Distance
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- Alligation or Mixture
- Simple Interest
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- Mensuration
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- Odd Man Out & Series
- Algebra
- Divisibility Rules & Remainder Theorem
- Factorials & Power Cycles
- Progressions (A.P., G.P., H.P.)
- Work & Wages
- Set Theory / Venn Diagrams
- Geometry (Lines, Angles, Triangles, Polygons)
- Coordinate Geometry
- Data Interpretation
- Trigonometry
- Statistics (Mean, Median, Mode)
- Arithmetic Operations
- Quadratic Equations
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