CAT inference report V2

Quant

Deep CAT 2020-2025 inference with compact evidence snippets, linked examples, recurrence patterns, source reasoning, and decision playbooks.

Open PYQs

Concept recurrence

Quant V2 is about repeatable concept families

QUANTHIGH confidenceMEDIUM risk

Arithmetic rewards equation translation

Percentages, ratios, investment, class-composition, and rate prompts recur as low-to-medium difficulty conversion problems.

Recurrence: Arithmetic (104), Algebra (37), Geometry (33), Number System (27), Modern Math (1) dominate public Quant.

cat-2020-slot-1 Q2 · 2020 Slot 1 · QUANT

If f(5+x)=f(5-x) for every real x and f(x)=0 has four distinct real roots, then the sum of the roots is:

Why it matters: The question stem exposes the hidden concept family and first-pass decision.

Takeaway: Classify the concept before calculating.

cat-2020-slot-1 Q3 · 2020 Slot 1 · QUANT

Veeru invested Rs. 10000 at 5\% simple annual interest, and exactly after two years Joy invested Rs. 8000 at 10\% simple annual interest. How many ye...

Why it matters: The question stem exposes the hidden concept family and first-pass decision.

Takeaway: Classify the concept before calculating.

Write variables and base quantities first; most arithmetic traps come from using the wrong base.

QUANTHIGH confidenceHIGH risk

Hidden constraints decide first-pass Quant

Integer feasibility, log domains, boundary conditions, and units often matter more than the visible formula.

Recurrence: Equation translation (87), Wrong base (42), Integer feasibility (38), Boundary condition (28), Domain reversal (6) are recurring Quant traps.

cat-2020-slot-1 Q2 · 2020 Slot 1 · QUANT

If f(5+x)=f(5-x) for every real x and f(x)=0 has four distinct real roots, then the sum of the roots is:

Why it matters: The question stem exposes the hidden concept family and first-pass decision.

Takeaway: Classify the concept before calculating.

cat-2020-slot-1 Q5 · 2020 Slot 1 · QUANT

If 4 5=( 4 y)( 6 5) , then y equals

Why it matters: The question stem exposes the hidden concept family and first-pass decision.

Takeaway: Classify the concept before calculating.

Before calculation, state the constraint: integer, positive argument, units, min/max, or ratio base.

QUANTHIGH confidenceMEDIUM risk

Concept families repeat across years

CAT changes surface wording, but families such as rate equations, geometry constraints, logarithm comparison, and divisibility recur.

Recurrence: linear equation translation (53), divisibility with digit constraints (34), quadratic max-min (34), rate equation in time-work (29), similarity-based geometry (24), percentage growth equation (20), mensuration with hidden ratio (15), average-mixture crossover (14) are the largest mapped families.

cat-2020-slot-1 Q1 · 2020 Slot 1 · QUANT

How many 3-digit numbers are there for which the product of their digits is more than 2 but less than 7?

Why it matters: The question stem exposes the hidden concept family and first-pass decision.

Takeaway: Classify the concept before calculating.

cat-2020-slot-1 Q4 · 2020 Slot 1 · QUANT

A train travelled at one-third of its usual speed and hence reached the destination 30 minutes late. On the return journey it travelled at usual spee...

Why it matters: The question stem exposes the hidden concept family and first-pass decision.

Takeaway: Classify the concept before calculating.

Revise by concept family and solve look-alike clusters, not by isolated chapter labels.

ALLHIGH confidenceHIGH risk

Percentile jumps come from first-pass discipline

Across sections, the biggest avoidable loss is spending premium time on unstable DILR, boundary-heavy Quant, or unsupported VARC options.

Recurrence: Public classification marks 98 skip-first-pass and 162 conditional questions.

cat-2020-slot-1 Q1 · 2020 Slot 1 · DILR

Caselet. Five cab drivers - Arun, Barun, Chandan, Damodaran and Eman - are rated on five parameters P1 to P5. Ratings are integers from 1 to 5. Final...

Why it matters: The passage/question wording shows how CAT tests inference and option discipline.

Takeaway: Read for structure and eliminate scope shifts.

cat-2020-slot-1 Q2 · 2020 Slot 1 · DILR

Caselet. Five cab drivers - Arun, Barun, Chandan, Damodaran and Eman - are rated on five parameters P1 to P5. Ratings are integers from 1 to 5. Final...

Why it matters: The passage/question wording shows how CAT tests inference and option discipline.

Takeaway: Read for structure and eliminate scope shifts.

Build a two-pass habit: harvest must-attempts, then revisit only where the representation or constraint is clear.

Topics

Topic distribution

Arithmetic104
Algebra37
Geometry33
Number System27
Modern Math1

ROI

High ROI concepts

linear equation translation53
divisibility with digit constraints34
quadratic max-min34
rate equation in time-work29
similarity-based geometry24
percentage growth equation20
mensuration with hidden ratio15
average-mixture crossover14
profit-discount crossover12
logs with inequality11

Shortcuts

Shortcut opportunities

linear equation translation39
quadratic max-min19
divisibility with digit constraints18
rate equation in time-work16
similarity-based geometry15
average-mixture crossover11
percentage growth equation11
mensuration with hidden ratio8
logs with inequality6
profit-discount crossover5

Matrix

Concept recurrence matrix

Concept familyTopicFrequencyExamples
linear equation translationArithmetic53cat-2020-slot-1 Q2cat-2020-slot-1 Q6cat-2020-slot-1 Q9cat-2020-slot-1 Q11
divisibility with digit constraintsNumber System34cat-2020-slot-1 Q1cat-2020-slot-1 Q8cat-2020-slot-1 Q10cat-2020-slot-1 Q15
quadratic max-minAlgebra34cat-2020-slot-2 Q3cat-2020-slot-2 Q7cat-2020-slot-2 Q10cat-2020-slot-2 Q12
rate equation in time-workArithmetic29cat-2020-slot-1 Q4cat-2020-slot-1 Q7cat-2020-slot-1 Q14cat-2020-slot-1 Q19
similarity-based geometryGeometry24cat-2020-slot-1 Q18cat-2020-slot-1 Q22cat-2020-slot-2 Q2cat-2020-slot-2 Q9
percentage growth equationArithmetic20cat-2020-slot-1 Q3cat-2020-slot-2 Q8cat-2021-slot-1 Q3cat-2021-slot-1 Q10
mensuration with hidden ratioGeometry15cat-2020-slot-1 Q16cat-2020-slot-1 Q17cat-2020-slot-1 Q24cat-2021-slot-1 Q11
average-mixture crossoverArithmetic14cat-2021-slot-1 Q7cat-2021-slot-1 Q16cat-2022-slot-1 Q3cat-2022-slot-1 Q20
profit-discount crossoverArithmetic12cat-2020-slot-1 Q12cat-2020-slot-2 Q11cat-2021-slot-1 Q9cat-2021-slot-3 Q8
logs with inequalityAlgebra11cat-2020-slot-1 Q5cat-2020-slot-1 Q21cat-2020-slot-2 Q5cat-2021-slot-1 Q4
ratio hidden in arithmeticArithmetic9cat-2020-slot-1 Q26cat-2020-slot-2 Q25cat-2022-slot-1 Q13cat-2024-slot-1 Q6
ratio hidden in geometryGeometry4cat-2022-slot-3 Q22cat-2023-slot-1 Q9cat-2023-slot-3 Q19cat-2025-slot-1 Q4
percentage-to-equation translationArithmetic3cat-2020-slot-1 Q23cat-2020-slot-2 Q23cat-2021-slot-3 Q14
sequence exponent comparisonAlgebra2cat-2021-slot-3 Q16cat-2023-slot-3 Q21
factor-count constraintNumber System2cat-2023-slot-1 Q4cat-2023-slot-3 Q6
function equation translationAlgebra2cat-2024-slot-1 Q7cat-2025-slot-2 Q2

Similar clusters

Question-level concept evidence

QuestionTopic/subtopicMicro-conceptFamilyTrap99%iler decisionSimilar questions
cat-2020-slot-1 Q1Number System / Digitsdigit constraint constructiondivisibility with digit constraintsEquation translationATTEMPTcat-2020-slot-1 Q8cat-2020-slot-1 Q10cat-2020-slot-1 Q15
cat-2020-slot-1 Q2Arithmetic / Ratio-Proportionword problem equation setuplinear equation translationInteger feasibilityATTEMPTcat-2020-slot-1 Q6cat-2020-slot-1 Q9cat-2020-slot-1 Q11
cat-2020-slot-1 Q3Arithmetic / SI/CIinterest growth comparisonpercentage growth equationWrong baseATTEMPTcat-2020-slot-2 Q8cat-2021-slot-1 Q3cat-2021-slot-1 Q10
cat-2020-slot-1 Q4Arithmetic / TSDrate-time-distance equationrate equation in time-workWrong baseATTEMPTcat-2020-slot-1 Q7cat-2020-slot-1 Q14cat-2020-slot-1 Q19
cat-2020-slot-1 Q5Algebra / Logslog inequality domainlogs with inequalityDomain reversalATTEMPTcat-2020-slot-1 Q21cat-2020-slot-2 Q5cat-2021-slot-1 Q4
cat-2020-slot-1 Q6Arithmetic / Ratio-Proportionword problem equation setuplinear equation translationEquation translationATTEMPTcat-2020-slot-1 Q2cat-2020-slot-1 Q9cat-2020-slot-1 Q11
cat-2020-slot-1 Q7Arithmetic / TSDrate-time-distance equationrate equation in time-workEquation translationATTEMPTcat-2020-slot-1 Q4cat-2020-slot-1 Q14cat-2020-slot-1 Q19
cat-2020-slot-1 Q8Number System / Divisibilityinteger feasibilitydivisibility with digit constraintsInteger feasibilityATTEMPTcat-2020-slot-1 Q1cat-2020-slot-1 Q10cat-2020-slot-1 Q15
cat-2020-slot-1 Q9Arithmetic / Ratio-Proportionword problem equation setuplinear equation translationEquation translationATTEMPTcat-2020-slot-1 Q2cat-2020-slot-1 Q6cat-2020-slot-1 Q11
cat-2020-slot-1 Q10Number System / Digitsdigit constraint constructiondivisibility with digit constraintsInteger feasibilityATTEMPTcat-2020-slot-1 Q1cat-2020-slot-1 Q8cat-2020-slot-1 Q15
cat-2020-slot-1 Q11Arithmetic / Ratio-Proportionword problem equation setuplinear equation translationInteger feasibilityATTEMPTcat-2020-slot-1 Q2cat-2020-slot-1 Q6cat-2020-slot-1 Q9
cat-2020-slot-1 Q12Arithmetic / Profit & Lossdiscount-profit equationprofit-discount crossoverWrong baseATTEMPTcat-2020-slot-2 Q11cat-2021-slot-1 Q9cat-2021-slot-3 Q8
cat-2020-slot-1 Q13Arithmetic / Ratio-Proportionword problem equation setuplinear equation translationEquation translationATTEMPTcat-2020-slot-1 Q2cat-2020-slot-1 Q6cat-2020-slot-1 Q9
cat-2020-slot-1 Q14Arithmetic / TSDrate-time-distance equationrate equation in time-workEquation translationATTEMPTcat-2020-slot-1 Q4cat-2020-slot-1 Q7cat-2020-slot-1 Q19
cat-2020-slot-1 Q15Number System / Divisibilityinteger feasibilitydivisibility with digit constraintsInteger feasibilityATTEMPTcat-2020-slot-1 Q1cat-2020-slot-1 Q8cat-2020-slot-1 Q10
cat-2020-slot-1 Q16Geometry / Mensurationarea/volume decompositionmensuration with hidden ratioEquation translationATTEMPTcat-2020-slot-1 Q17cat-2020-slot-1 Q24cat-2021-slot-1 Q11
cat-2020-slot-1 Q17Geometry / Mensurationarea/volume decompositionmensuration with hidden ratioEquation translationATTEMPTcat-2020-slot-1 Q16cat-2020-slot-1 Q24cat-2021-slot-1 Q11
cat-2020-slot-1 Q18Geometry / Circlescircle chord distance relationsimilarity-based geometryWrong baseATTEMPTcat-2020-slot-1 Q22cat-2020-slot-2 Q2cat-2020-slot-2 Q9
cat-2020-slot-1 Q19Arithmetic / TSDrate-time-distance equationrate equation in time-workEquation translationATTEMPTcat-2020-slot-1 Q4cat-2020-slot-1 Q7cat-2020-slot-1 Q14
cat-2020-slot-1 Q20Number System / Divisibilityinteger feasibilitydivisibility with digit constraintsInteger feasibilityATTEMPTcat-2020-slot-1 Q1cat-2020-slot-1 Q8cat-2020-slot-1 Q10
cat-2020-slot-1 Q21Algebra / Logslog inequality domainlogs with inequalityDomain reversalATTEMPTcat-2020-slot-1 Q5cat-2020-slot-2 Q5cat-2021-slot-1 Q4
cat-2020-slot-1 Q22Geometry / Circlescircle chord distance relationsimilarity-based geometryEquation translationATTEMPTcat-2020-slot-1 Q18cat-2020-slot-2 Q2cat-2020-slot-2 Q9
cat-2020-slot-1 Q23Arithmetic / Percentagespercentage equation setuppercentage-to-equation translationWrong baseATTEMPTcat-2020-slot-2 Q23cat-2021-slot-3 Q14
cat-2020-slot-1 Q24Geometry / Mensurationarea/volume decompositionmensuration with hidden ratioWrong baseATTEMPTcat-2020-slot-1 Q16cat-2020-slot-1 Q17cat-2021-slot-1 Q11

99%iler rules

Quant attempt rules

RuleTriggerMove
AttemptKnown concept family, low/medium calculation load, clear base/constraint.Solve in first pass.
RevisitConcept is recognizable but boundary/casework is non-trivial.Mark and return after easy harvest.
Skip first passHidden domain/integrality/case split with no quick setup.Leave before sunk cost builds.