Arithmetic
BPSC - CCE Paper 1 — Quantitative Aptitude
2-min read·5 key concepts·5 facts
AI-Powered Analysis
32
PYQs Analyzed
2018–2025
Years Covered
Paper 1
BPSC - CCE
Arithmetic covers time-work, ratios, percentages, and algebra. Crucial for BPSC quant sections with 30% of questions.
Key Concepts
Work Rates
1/12 - 1/20 = 1/30 for Suman's time
Ratio Adjustment
Sand-cement ratio 4:1 to 6:1 requires 30kg addition
Percentage Calculations
25% loss implies CP = 200, 20% profit needs 240
Algebraic Identities
(a+b)^2 - (a-b)^2 = 4ab for simplification
Set Theory
Inclusion-exclusion for 32+64+40-14-12-15+8 = 19
Must-Know Facts
- 1Work rate formula: 1/(1/12 - 1/20) = 30 days
- 2Percentage increase: 5% annual leads to 176400*(1.05)^2 = 194481
- 3Train speed conversion: 144 km/h = 40 m/s for 400m bridge in 10s
- 4Combination formula: 2nC3/nC2 = 44/3 gives n=12
- 5Age problem: Rahul = 27, Seema = 5*27=135, Lakshmi = 2*(27-4)=46
Exam Patterns
Work-rate problems dominate with 5+ questions
Ratio-based mixture questions appear every 2 years
Symbol substitution puzzles test order of operations
Percentage profit/loss calculations require base identification
Common Traps
Confusing 'more than' with 'times' in age problems
Forgetting to convert km/h to m/s in train questions
Miscalculating combined work rates (1/12 - 1/20 = 1/30)
Ignoring inclusion-exclusion principle in set problems
Misapplying percentage formulas (loss vs profit base)
Year Highlights
20206 questions on work, percentages, and ratios
20214 repeated work-rate questions with slight variations
2024Symbol substitution puzzle with 4 operations
Practice these PYQs
Test yourself with the actual 32 questions on Arithmetic