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RPSC - RAS Paper 1 — Quantitative Aptitude
2-min read·10 key concepts·10 facts
AI-Powered Analysis
21
PYQs Analyzed
2016–2024
Years Covered
Paper 1
RPSC - RAS
This subtopic covers number sequences, unit digit calculations, proportional reasoning, algebraic equations, and data interpretation. It is crucial for the RPSC exam as it tests analytical and numerical skills.
Key Concepts
Number Sequences
Identify patterns in numerical progressions.
Unit Digit Analysis
Determine the last digit of products or sums.
Proportional Reasoning
Solve problems involving direct/inverse proportions.
Algebraic Equations
Set up and solve equations from word problems.
Combinatorics
Calculate permutations, combinations, and restrictions.
Probability
Compute probabilities of specific outcomes.
Surface Area
Calculate areas for painting or construction.
Cube Geometry
Determine visible/invisible cubes in 3D structures.
Percentage Problems
Solve problems involving percentage changes.
Custom Operations
Interpret non-standard mathematical operations.
Must-Know Facts
- 1Unit digit of 1×9×7 is 3 (but answer D=1, possible error).
- 2Stars and bars theorem: C(n-1, k-1) solutions for x+y+z=6.
- 3Surface area of walls: 2(lh + bh) - doors/windows.
- 4Cube with 64 small cubes: (4-2)^3=8 inner cubes.
- 5Population formula: P/(1+r)^t.
- 6Probability of increasing dice rolls: 5/54.
- 7Combinations with at least one girl: Total - no girls.
- 8Percentage increase: 21% reduction allows 10.5kg more.
- 9Custom operation: 4+5-2= (4×5) + 2=22 (but answer 33, need pattern).
- 10Sequence 2,12,36,80,150: n^3 + n^2.
Exam Patterns
Sequence-based questions dominate.
Unit digit and percentage problems are frequent.
Equations with word problems are common.
Combinatorics and probability questions appear regularly.
Data interpretation and surface area calculations are tested.
Common Traps
Miscalculating unit digits by ignoring multiplication order.
Misapplying proportionality in work-rate problems.
Forgetting to subtract doors/windows in area calculations.
Confusing combinations with permutations in restrictions.
Incorrectly assuming all cubes are visible in 3D structures.
Year Highlights
2024Featured percentage change, mean correction, and sequence problems.
2021Included complex election percentages and surface area calculations.
2016Focused on sequences, unit digits, and proportional reasoning.
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