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CUCET Syllabus
Central Universities Common Entrance Test for admission to central university programs.
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Formula of the day
Profit & Loss · 15 formulae in the cheatsheet
Trap of the day
CI and SI are equal only for the first year. From year 2 onwards CI > SI — never reuse the SI figure.
Revision & Exam Traps· 15 formulae · 11 traps
Percentages
Successive % changes never just add. A +20% then -20% leaves you at 96%, not 100% — apply them one after the other.
Profit & Loss
Profit % is on COST price unless stated otherwise; discount % is on MARKED price. Mixing the bases is the classic loss-of-marks.
Successive discount
Simple Interest
Compound Interest
Time, Speed & Distance
Average speed over equal distances is the harmonic mean 2v1v2/(v1+v2), NOT the simple average (v1+v2)/2.
Average speed
Time & Work
In time-and-work, add the RATES (1/a + 1/b), never the days. Adding times is wrong.
Averages
Permutations
Combinations
Probability
Progressions
Boats & Streams
Alligation
Interest
CI and SI are equal only for the first year. From year 2 onwards CI > SI — never reuse the SI figure.
Speed units
Convert km/h to m/s by multiplying 5/18 (not 18/5). Flipping it inverts your answer.
Counting
nPr counts ordered arrangements; nCr counts unordered selections. "Arrange/order" -> P, "choose/select" -> C.
Discounts
Two successive equal discounts of x% give (2x - x^2/100)% off, not 2x%.
Ratios
In ratio problems, scale by a common multiplier k. The ratio numbers are not the actual quantities.
Data Interpretation
Read DI graph axes and units before computing. A "% of total" question rarely wants the raw value.
Reasoning
In assertion-reason questions, judge each statement independently first, then test whether the reason truly explains the assertion.
Syllabus coming soon for CUCET.