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
- Percentage
- Operations on Numbers
- Profit & Loss
- Ratio & Proportion
- Partnership
- Chain Rule
- Time & Work
- Pipes & Cistern
- Time & Distance
- Problems on Trains
- Boats & Streams
- Alligation or Mixture
- Simple Interest
- Compound Interest
- Logarithms
- Area
- Volume & Surface Areas
- Mensuration
- Races & Games of Skill
- Calendar
- Clocks
- Stocks & Shares
- Permutations & Combinations
- Probability
- True Discount
- Banker’s Discount
- Heights & Distances
- 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
Other Subjects
- Manufacturing Technology
- Welding Technology
- Thermodynamics
- Theory of Machines
- Strength of Materials
- Refrigeration and Air Conditioning
- Production Planning and Control
- Power Plant Engineering
- Operations Research
- Metrology and Quality Control
- Metal Casting and Welding
- Mechanical Vibrations
- Mechanical Behavior of Materials
- Materials Science
- Quantitative Aptitude
- Machine Tool Design
- Internal Combustion Engines
- Industrial Engineering and Management
- Hydraulics and Pneumatics
- Heat Transfer
- Fluid Mechanics
- Fluid Machinery
- Engineering Mechanics
- Design of Machine Elements
- Engineering Mathematics
- Reasoning
- General Awareness / General Knowledge (GK)