Complete Guide to CAT Arithmetic Questions 2026: Practice, Trends, TITA Strategy & PDFs

Updated on March 27, 2026. Arithmetic dominates the CAT Quant section — nearly 8–10 arithmetic questions appear each year in the official paper. This article focuses on CAT Arithmetic Questions for CAT 2026 preparation, with topic-wise counts, smart methods, TITA strategy and a ready 8‑week practice plan.

Why CAT Arithmetic Questions Matter for CAT Quant

Arithmetic is a high-return area in CAT quant. With about 8–10 questions every year, it offers scoring opportunities if you handle calculations fast and accurately.

The mix of MCQ and TITA formats changes how you attempt questions. MCQs let you use elimination; TITA requires exact answers and careful verification. That means accuracy plus speed — not one or the other.

Mastery of arithmetic topics (percentages, ratio, time & work, TSD, SI/CI, mixtures, averages) can lift your overall Quant score and push your percentile above the 95 mark if you combine practice with targeted strategy.

Which Arithmetic Topics Appear Most Often (Quick Overview)

Frequent topics in CAT arithmetic questions are: averages, percentages, ratio problems, simple interest and compound interest, profit and loss, mixtures and allegations, time and work, and time speed distance (TSD).

Skills you must build: fast multiplication and division, percentage conversions, fraction manipulation and quick mental checks. These skills reduce time spent on routine calculations and free up time for harder reasoning.

Prioritise your practice based on frequency and scoring potential. High-frequency, low-time topics (percentages, ratio, P&L, SI/CI) should become near‑instant for you. Harder multi-step topics (mixtures, multi-leg TSD) need focused practice sets.

Topic-wise Trends (2021–2025) — How to Read the Numbers

The official year-wise topic counts for 2021–2025 show where examiners concentrated arithmetic questions. Use these topic-wise counts to allocate practice time.

What this table tells you:

• Percentage & Profit/Loss and Ratio have been consistently important in recent years. Make these automatic.
• Averages and Mixtures showed a decline from 2021 to 2025; still testable, but fewer in number.
• TSD and Time & Work remain steady staples — expect 2–5 questions each year.

Actionable takeaway: allocate about 60% of your arithmetic practice to percentages, ratio problems, SI/CI and P&L 25% to TSD and Time & Work; 15% to averages and mixtures depending on your weakness.

Practice Questions from Previous CAT Papers — What to Expect

The official practice set includes 10 previous-year practice questions that mirror real CAT Arithmetic Questions. Expect a mix of MCQ TITA formats, with both short calculation and multi-step reasoning items.

Question mix you will face in exam-like practice:

• Short calculation items from percentages, profit & loss and ratio — time-to-solve: 1–2 minutes each.
• Medium items on SI/CI and mixtures — time-to-solve: 2–4 minutes.
• Multi-step TSD and Time & Work or multi-component mixture problems — time-to-solve: 4–6 minutes.

How to time and attempt each question type in exam conditions:

• For MCQs: attempt only if you can get to a confident answer in 2–3 minutes. Use elimination for distractor-heavy options.
• For TITA: never rush. If you need exactness, do quick verification lines. If the expected time is >4 minutes, mark and return after simpler items.

The practice questions come with an answers PDF attached to the set. Use that PDF for verification but do the following before checking: write a one-line solving strategy and time taken for each question.

Step-by-Step Solution Approach (Model Worked Methods)

Below are compact, exam-ready methods for core arithmetic topics. Use them as templates when you see similar questions.

Percentages and Profit & Loss

• Convert percentage changes to multipliers: increase by x% → multiply by (1 + x/100); decrease → multiply by (1 - x/100).
• For chain changes (discount then profit), multiply the factors and compare with cost price to get net profit/loss.
• Quick check: if profit% is small and margins simple, approximate then verify. For MCQ elimination, approximate to discard options.

Ratio Problems

• Convert ratios to direct quantities using a common variable when needed. If ratios are chained, use the smallest consistent multiplier to keep numbers manageable.
• For mixture ratios, convert to unit parts and solve using parts method rather than percentages when the numbers are small.

Simple & Compound Interest

• For SI: SI = P × R × T / 100. Compare two investments by equating their SI where asked.
• For CI: use (1 + r/100)^n for compounding. For mixed-period or differing rates, convert to effective multipliers.
• Shortcut: small r and small n → approximate with SI then correct if compounding matters for precision.

Time Speed Distance (TSD)

• Use relative-speed for problems where two objects move towards or away from each other.
• For multi-leg journeys, break into segments and use distance = speed × time. If speeds are in ratio, assign variables and solve.

Time & Work

• Convert rates: if A does x work/day and B does y work/day, combined rate = x+y. For people or machines with variable efficiencies, express in fractions of job per unit time.
• For alternating-worker problems, compute per-cycle work and scale.

Mixtures and Allegations

• Use allegation rule for two-component mixtures: ratio of quantities = (difference of concentrations) crosswise.
• For multi-component mixtures, reduce to pairwise or convert to weighted averages.

When to use algebra vs. shortcut

• Use algebra when statements are non-linear or numbers don't simplify. Use shortcuts for linear or proportion-based questions to save time.
• For TITA questions requiring exactness, prefer a quick algebraic set-up that yields a precise numeric answer.

Quick verification checks

• Recompute using an alternate method (reverse operation) in 10–20 seconds.
• Round results to nearest sensible figure to see if they match MCQ choices before committing.

TITA-specific Strategy: Do's, Don'ts and Time Management

TITA (Type In The Answer) strips out elimination. That raises the cost of careless calculation errors. Your goal: one correct typed value, no ambiguity.

Do's

• Always simplify to the smallest exact form (decimal or fraction) required by the question.
• Maintain consistent units (kg, km/h, rupees) through the calculation.
• Use a small verification: plug the computed value back into a single equation from the question.

Don'ts

• Do not rely on approximation unless the question allows rounding. TITA dislikes approximations unless exactness isn't possible.
• Avoid shortcuts that produce slightly different decimal endings — use algebraic simplification to an exact value.

Time management for TITA

• Set a mental cap (3–5 minutes) per TITA problem in the first pass. If you need more time, mark it and return after finishing shorter MCQs.
• Practice with a stopwatch and an answer box that forces exact-format typing so you get comfortable with formatting.

Practice regimen to simulate TITA pressure

• Build small timed sets (6–8 questions) with at least two TITA problems each session.
• After solving, rewrite each TITA answer in the expected format (decimal to two places, fraction reduced, integer) to ingrain precision.

Curated Practice Plan: 8-Week Schedule to Master CAT Arithmetic Questions

This plan balances topic drills, previous year questions, and mixed mocks. Allocate 90–120 minutes daily on weekdays and 3–4 hours on weekends if you aim for a 95%+ quant percentile.

Weeks 1–2: Foundation and Speed

• Days 1–3: Percentages, Profit & Loss — drills of 20 short questions/day (MCQ + 2 TITA).
• Days 4–6: Ratio problems and averages — 15 ratio drills + 10 averages/mixture drills.
• Weekend: Full previous-year set containing arithmetic questions; time each question.

Weeks 3–4: Strengthen SI/CI and Time Topics

• SI & CI focused days — 20 problems/day including yearly pattern questions.
• Time & Work and TSD rotation — alternate days; practice alternating-worker and relative-speed sets.
• Weekend: Take a 2-hour mixed quant mock focusing on arithmetic accuracy.

Weeks 5–6: Mixed-Topic Mocks and TITA Focus

• Daily mixed sets (10–12 questions) with at least 2 TITA.
• Work on speed: reduce average time per question to under 3 minutes for MCQs and under 5 minutes for TITA where possible.
• Weekend: Solve the 10 official previous-year practice questions without looking at the PDF answers; time yourself strictly.

Weeks 7–8: Revision, Error Log and Exam Simulation

• Review error log: practise 30 items per day pulled from earlier mistakes.
• Full CAT-style mocks (3 hours) once per week; in-between day sessions should be topic-sharpening.
• Final weekend: a timed full quant section and then a calm review of every arithmetic question you missed.

How to integrate the official 10 practice questions and answers PDF

• Attempt those 10 without checking answers. Record time taken and method used.
• Then open the answers PDF. For each wrong or slow attempt, write a one-line root-cause (calculation, concept, strategy). Use this to plan Week 5–6 drills.

Quick Reference Table: Topic-wise Counts (2021–2025)

Use this compact table for fast review before a practice day.

How to read it: if a topic shows repeated counts across years (Time & Work, SI/CI), keep those in your weekly warm-up. If a topic has fallen (Averages/Mixtures) you still must practice selective high-difficulty items since they can appear as 1–2 tricky problems.

Common Mistakes and How to Avoid Them

Frequent calculation errors

• Mistake: dropping a decimal place or misplacing a percentage sign. Fix: write intermediate multipliers as fractions (e.g., 12% = 12/100) and carry them through.

Misreading TITA statements

• Mistake: misunderstanding whether the question asks for total, per-unit or percent. Fix: underline the exact quantity asked before setting up equations.

Time-wasting habits

• Mistake: doing full long-division when a ratio simplification would work. Fix: look for common factors before multiplying out large numbers.

Elimination mistakes in MCQ

• Mistake: eliminating options based on a quick approximate that is still close to the right option. Fix: use bounding checks — if your estimate falls outside two adjacent options, you can eliminate confidently.

Final checklist before submission

• Check units and decimal places for all TITA entries.
• For MCQs, if two options remain close, recompute quickly using an alternate method to confirm.
• Ensure you haven't answered the same question twice and skipped another due to time mis-management.

Resources, Answer PDFs and Next Steps

The official practice set includes an answers PDF at the end of the questions. Use that PDF solely for verification after you attempt the questions under timed conditions.

Recommended resources for deeper practice and quant practice:

• Standard quantitative aptitude books for basics and speed drills.
• Topic-wise mock banks from reputable mock-test providers for exam simulation.
• Maintain a personal error log and weekly review habit — this is the single most effective step to reduce repeated mistakes.

Fill coverage gaps yourself: create short solved PDFs for each TITA you miss. Record 60–90 second video explanations for 20 hard problems — this trains recall under pressure.

Next steps for your CAT 2026 preparation:

• Build speed on percentages, ratio problems and P&L first. Then layer TSD and Time & Work practice.
• Schedule weekly timed practice with increasing TITA share.
• Use the answer PDFs only after you’ve recorded your own solutions and times.

FAQs — Quick Clarifications on CAT Arithmetic Questions