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
- Prestressed Concrete
- Fluid Mechanics
- Geotechnical Engineering
- Ground Improvement Techniques
- Groundwater Engineering
- Highway Engineering
- Hydraulics and Hydraulic Machines
- Hydrology
- Irrigation Engineering
- Open Channel Flow
- Pavement Design
- Estimation, Costing and Valuation
- Railway Engineering
- Soil Mechanics
- Strength of Materials
- Structural Analysis
- Surveying
- Traffic Engineering
- Transportation Engineering
- Wastewater Treatment
- Water Supply and Sanitation
- Contracts and Specifications
- Reasoning
- Engineering Mathematics
- Air Pollution and Control
- Bridge Engineering
- Building Materials and Construction
- Concrete Technology
- Construction Equipment
- Construction Planning and Management
- Quantitative Aptitude
- Dam Engineering
- Design of RCC Structures
- Design of Steel Structures
- Drainage Engineering
- Earthquake Engineering
- Engineering Geology
- Engineering Graphics
- Engineering Mechanics
- Environmental Engineering
- General Awareness / General Knowledge (GK)