The biggest myth about CAT Quant is that you need exceptional Maths skills. But you don’t.
You don’t need to be a Maths genius to ace CAT Quant. What you need is speed, accuracy, and complete command over Arithmetic—the most important scoring area in the QA section. With CAT 2026 scheduled for 29 November, every hour of preparation should focus on concepts that deliver the highest returns. From Percentages and Profit & Loss to Ratios, Time & Work, Time-Speed-Distance, Averages, and Interest, Arithmetic forms the foundation of Quant and even appears in Data Interpretation. Master it, and the rest of Quant becomes far more manageable.
Table of Contents
- Why Arithmetic Is Important for CAT 2026
- Important Arithmetic Topics
- Top Arithmetic Questions with Solutions
- Common Mistakes to Avoid
- How to Prepare Arithmetic for CAT 2026
- Practice 700+ Arithmetic Questions with CatMock Bhandara
- FAQs
Why Arithmetic Is Important for CAT 2026
Let’s talk numbers, because they make the case better than any pep talk. Arithmetic—Percentages, Profit & Loss, Averages, Ratio & Proportion, Mixtures & Alligations, Time & Work, Time-Speed-Distance, Simple & Compound Interest—regularly eats up the biggest chunk of the CAT QA section. Most years, 8 to 10 of the 22 QA questions trace straight back to these concepts. That’s nearly half the section, decided by one topic cluster.
And it doesn’t stop at Quant. That DILR set with production numbers or salary splits? Secretly a Percentage and Ratio problem. That “logic puzzle” about speeds and timings? Time-Speed- Distance, wearing a disguise. Get sharp on Arithmetic, and you’re not just boosting one section — you’re quietly boosting two.
Here’s the best part: this is one of the few CAT topics where speed comes fast. Once percentage-to-fraction conversions, ratio tricks, and the work-rate method click, most Arithmetic questions fall in under 90 seconds—buying you precious time for the tougher Algebra and Geometry questions later in the paper.
Important Arithmetic Topics
Not all Arithmetic topics pull equal weight. Here’s the real breakdown, based on recent CAT trends—so you know exactly where to spend your hours.
Table 1: Arithmetic Topic-Wise Weightage for CAT 2026
| Arithmetic Topic | Avg. Questions in CAT | Difficulty Level | Prep Priority |
| Percentages & Profit-Loss | 2–3 | Low–Moderate | Highest |
| Ratio, Proportion & Averages | 2 | Low–Moderate | High |
| Time, Speed & Distance | 1–2 | Moderate | High |
| Time & Work | 1–2 | Moderate | High |
| Simple & Compound Interest | 1 | Low | Medium |
| Mixtures & Alligations | 1 | Moderate | Medium |
| Pipes & Cisterns | 0–1 | Moderate | Low–Medium |
No abstract pattern-hunting here, like Modern Math or Geometry sometimes demand. Just calculation fluency and clean word-problem translation — skills that improve fast when you actually put in timed, focused reps.
Top Arithmetic Questions with Solutions
Enough talk—let’s solve. Every question below is original (not lifted from any CAT paper), but built to mirror exactly the patterns CAT keeps throwing at aspirants year after year. Work through them, don’t just read them.
1. Percentages
Q1. In an election between two candidates, one candidate got 60% of the total votes and won by 4,800 votes. Find the total number of votes polled (assuming no invalid votes).
The winning margin represents the difference between the two vote shares: 60% − 40% = 20% of the total. So, 20% of total votes = 4,800 Total votes = 4,800 / 0.20 = 24,000
Answer: 24,000 votes
2. Profit & Loss
Q2. A shopkeeper marks up an article by 40% above cost price and then offers a 25% discount on the marked price. Find his overall profit or loss percentage.
Let cost price (CP) = 100. Marked price (MP) = 100 + 40% = 140 Selling price (SP) = 140 − 25% of 140 = 140 × 0.75 = 105 Profit = SP − CP = 105 − 100 = 5
Answer: 5% profit
3. Averages
Q3. The average weight of 8 boys is 45 kg. When a new boy joins the group, the average increases by 1 kg. Find the weight of the new boy.
Original total weight = 8 × 45 = 360 kg New average = 46 kg, new count = 9, so new total = 9 × 46 = 414 kg Weight of new boy = 414 − 360 = 54 kg Answer: 54 kg
4. Ratio & Proportion
Q4. Two numbers are in the ratio 3:5. If 10 is added to each number, the ratio becomes 5:7. Find the two numbers.
Let the numbers be 3x and 5x. (3x + 10) / (5x + 10) = 5/7 7(3x + 10) = 5(5x + 10) 21x + 70 = 25x + 50 20 = 4x → x = 5 The numbers are 3(5) = 15 and 5(5) = 25
Answer: 15 and 25
5. Time & Work
Q5. A can complete a work in 12 days and B can complete the same work in 18 days. They work together for 4 days, after which A leaves. In how many days will B finish the remaining work alone?
A’s rate = 1/12 per day, B’s rate = 1/18 per day Combined rate = 1/12 + 1/18 = 3/36 + 2/36 = 5/36 per day Work done in 4 days = 4 × 5/36 = 20/36 = 5/9 Remaining work = 1 − 5/9 = 4/9 Days for B alone = (4/9) ÷ (1/18) = (4/9) × 18 = 8
Answer: 8 days
6. Time, Speed & Distance
Q6. A boat travels 30 km upstream in 3 hours and returns downstream in 2 hours. Find the speed of the boat in still water and the speed of the current.
Upstream speed = 30/3 = 10 km/h = (boat speed − current speed) Downstream speed = 30/2 = 15 km/h = (boat speed + current speed) Boat speed = (10 + 15)/2 = 12.5 km/h Current speed = (15 − 10)/2 = 2.5 km/h
Answer: Boat speed = 12.5 km/h, Current speed = 2.5 km/h
7. Simple & Compound Interest
Q7. The compound interest on a sum for 2 years at 10% per annum is ₹2,100. Find the simple interest on the same sum for the same time and rate.
CI factor for 2 years at 10% = (1.10)² − 1 = 0.21 So, Principal × 0.21 = 2,100 → Principal = 10,000 Simple Interest = (P × R × T)/100 = (10,000 × 10 × 2)/100 = 2,000 Answer: ₹2,000
8. Mixtures & Alligations
Q8. A container has 40 litres of milk. 8 litres of milk is replaced with water, and this process is repeated once more. Find the quantity of milk left in the container after the second replacement.
Using the replacement formula: Remaining milk = Initial × (1 − replaced/total)ⁿ = 40 × (1 − 8/40)² = 40 × (0.8)² = 40 × 0.64 = 25.6
Answer: 25.6 litres
Table 2: Quick Answer Key
| Q. No. | Topic | Final Answer |
| Q1 | Percentages | 24,000 votes |
| Q2 | Profit & Loss | 5% profit |
| Q3 | Averages | 54 kg |
| Q4 | Ratio & Proportion | 15 and 25 |
| Q5 | Time & Work | 8 days |
| Q6 | Time, Speed & Distance | Boat 12.5 km/h, Current 2.5 km/h |
| Q7 | Simple & Compound Interest | ₹2,000 |
| Q8 | Mixtures & Alligations | 25.6 litres |
Common Mistakes to Avoid
These are the traps that quietly cost aspirants marks every single year — don’t let them cost you yours.
- Converting percentages to decimals incorrectly under time pressure — always check whether a change is “of the original” or “of the new value.”
- Applying the wrong base in successive percentage-change problems (like Q2 above), which silently flips the final answer.
- Mixing up “ratio of quantities” with “ratio of rates” in Time & Work and Time-Speed-Distance problems.
- Forgetting that compound interest compounds on the previous year’s amount, not the original principal — this one bites hardest in 3-year-plus CI problems.
- Treating every question as plug-and-chug instead of translating the word problem into an equation first. This is where most “silly mistakes” are born.
How to Prepare Arithmetic for CAT 2026
Cramming doesn’t work here. Speed on Arithmetic is built, not memorized — and it’s built through consistent, spaced-out reps, not a weekend binge. Four focused weeks, run alongside your regular Algebra and Modern Math prep, is genuinely enough to build real fluency across every major sub-topic.
Table 3: 4-Week Arithmetic Prep Plan
| Week | Focus Area | Daily Target |
| Week 1 | Percentages, Profit & Loss, Averages — fundamentals to multi-step problems | 12 questions/day + concept revision |
| Week 2 | Ratio & Proportion, Mixtures & Alligations | 10 questions/day, mixed difficulty |
| Week 3 | Time & Work, Pipes & Cisterns | 10 questions/day + shortcut drills |
| Week 4 | Time-Speed-Distance, Simple & Compound Interest + full mixed-topic mock sets | 1 sectional mock every 2 days |
Practice 700+ Arithmetic Questions with CatMock Bhandara
Reading solutions feels productive. But it is NOT!
Solving fresh questions is what actually moves your score.
Bhandara by CatMock is a massive, structured question bank built specifically for CAT aspirants—topic-wise practice across all three sections, so you always know exactly what to solve next.
Inside Bhandara, you’ll get:
- 700+ Arithmetic Questions
- 700+ Algebra Questions
- 600+ Modern Mathematics Questions
- 600+ Mensuration Questions
- 500+ Geometry Questions
- 600+ Number System Questions
Bhandara is your complete CAT preparation treasure
Everything you need, all in one place.
Stop Searching for Arithmetic Questions. Start Solving the Right Ones.
Arithmetic can single-handedly lift your Quant percentile—but only if you stop treating it as an afterthought. Percentages, Profit & Loss, Ratios, Time & Work, and Time-Speed-Distance show up in CAT every single year, without fail. The aspirants who prepare this topic with real structure, not scattered PDFs and random YouTube videos, are the ones walking into results day with the strongest QA scores.
Stop bouncing between ten different resources. Practice from one structured collection of 700+ CAT-level Arithmetic questions, organized so you can build fundamentals, spot your weak areas fast, and level up to exam-difficulty problems without the guesswork.
Whether you’re starting from scratch or fine-tuning before mocks, a focused question bank is what turns “I understand this” into “I can solve this in 60 seconds.” That gap is everything on exam day.
Explore Arithmetic Bhandara and master every important topic with 700+ carefully curated CAT-level questions.
FAQs
Arithmetic typically contributes 8 to 10 questions out of the 22 questions in CAT’s Quant section, spread across Percentages, Profit & Loss, Averages, Ratio & Proportion, Time & Work, Time-Speed-Distance, and Simple & Compound Interest.
Arithmetic includes Percentages, Profit & Loss, Averages, Ratio & Proportion, Mixtures & Alligations, Time & Work, Time-Speed-Distance, Pipes & Cisterns, and Simple & Compound Interest.
Attempting 6 to 8 well-chosen Arithmetic questions with high accuracy is a reasonable target for most aspirants, since this topic tends to be faster to solve than Algebra or Geometry once the fundamentals are strong.
CatMock’s QA Bhandara has 700+ dedicated Arithmetic questions, along with thousands more across every other Quant topic, for structured, topic-wise practice.
Not necessarily. Most questions are concept-based and calculation-light once you know the shortcuts. With consistent practice and strong fundamentals, Arithmetic can become the most reliable, highest-scoring section in CAT Quant.
Summary: Key Takeaways
- Arithmetic covers Percentages, Profit & Loss, Averages, Ratio & Proportion, Mixtures & Alligations, Time & Work, Time-Speed-Distance, and Simple & Compound Interest.
- It’s the single highest-weightage cluster in CAT QA, typically contributing 8–10 of the 22 questions.
- Arithmetic concepts resurface throughout DILR too, so mastering them pays off beyond the Quant section alone.
- A focused 4-week plan—moving from Percentages and Averages to Time-Speed-Distance and Interest—is enough to build genuine speed and accuracy.
- Pair topic-wise practice with a large question bank (such as CatMock’s 700+ question Arithmetic Bhandara) to convert concepts into exam-day speed.
Conclusion
Arithmetic isn’t just another CAT Quant topic—it’s the foundation everything else stands on. The concepts are intuitive, the patterns repeat like clockwork, and unlike Modern Math or Geometry, there’s genuinely no ceiling on how fast you can get with real practice. Work through the questions above. Follow the 4-week plan. Reinforce it with a large, structured question bank until speed becomes automatic — well before CAT 2026 lands on 29 November. Nail Arithmetic, and you’ve quietly built the single most reliable lever for your overall percentile.
