CAT for non-engineers: closing the maths gap and using your strengths

Walk into any CAT coaching class and you will hear that the exam is "made for engineers". It is true that engineering graduates form a large part of the applicant pool, and many of them find the QA section familiar. It is not true that the test is built around engineering. CAT tests reading, reasoning and school-level mathematics. Commerce, arts, science and other graduates clear it every year and join the top institutes.

The real difference is where you start, not how far you can go. A candidate who last studied algebra in Class 10 needs more time on foundations. Give it that time early and the gap closes faster than most people expect.

What CAT actually tests

So the gap is mostly in one section, and even there it is about comfort and speed, not about concepts you have never seen. Our CAT syllabus guide lists the QA topics.

Why QA feels harder than it is

Most non-engineers are not weak at maths. They are out of practice. Three things usually cause the fear:

• Algebra that was never automatic. Rearranging an equation takes conscious effort, so every question feels slow.
• Missing number sense. Converting 3/8 to 37.5% or estimating 17% of 460 takes a calculation instead of a glance.
• Comparing with engineers in the same class who solve a question in 40 seconds that takes you four minutes.

All three respond to daily, structured practice. None of them needs talent.

Rebuilding QA: the order that works

Start where you are strongest and where CAT asks the most. Arithmetic is both.

1. Number sense (weeks 1–2). Tables to 20, squares to 30, cubes to 15, and fraction–percentage conversions. These save time in every section, including DILR.
2. Arithmetic (weeks 2–6). Percentages, profit and loss, ratio and proportion, averages, mixtures, time and work, time-speed-distance, simple and compound interest. Many of these are daily-life maths for commerce graduates.
3. Algebra (weeks 6–9). Linear and quadratic equations, inequalities, then functions and progressions.
4. Geometry and mensuration (weeks 9–11). Triangles, circles, areas and volumes.
5. Number system and modern maths (weeks 11–12 and after). Divisibility, remainders, permutations, probability.

Fractions worth knowing by heart

Multiples follow directly: 3/8 = 3 × 12.5% = 37.5%, and 5/6 = 100% − 16.67% = 83.33%.

Worked example 1: successive change

A price rises by 20% and then falls by 20%. What is the net change?

• Rising 20% multiplies the price by 1.2. Falling 20% multiplies it by 0.8.
• Net factor: 1.2 × 0.8 = 0.96.
• So the price ends 4% lower, not unchanged.

This one idea, multiplying factors instead of adding percentages, solves a large family of questions in percentages, profit and loss and growth.

Worked example 2: profit after discount

A shopkeeper buys an item for ₹400, marks it 25% above cost and gives a 10% discount. Find the profit percentage.

• Marked price: 400 × 1.25 = ₹500.
• Selling price: 500 × 0.9 = ₹450.
• Profit: 450 − 400 = ₹50, which is 50 ÷ 400 = 12.5% of cost.

Notice that 1.25 × 0.9 = 1.125 gives the same answer in one line.

A realistic QA target

You do not need to attempt every QA question. A good sectional score usually comes from getting a moderate number of arithmetic and easier algebra questions right, and leaving the long geometry or number-system questions you cannot crack quickly. Remember the marking: a wrong MCQ costs one mark, a right one earns three. Ten attempts with nine right score more than fourteen attempts with nine right.

Most IIMs also apply sectional cut-offs, so the aim is a safe QA percentile, not a brilliant one. Your other two sections can do the heavy lifting.

DILR is learnable

DILR has no syllabus to "know". It asks you to organise information into a table or grid, test cases and keep track of constraints. Accountants, economists and humanities students who work with data or arguments often adapt quickly.

What builds the skill is volume with review: one or two sets a day, each one reviewed for how you should have set up the table and which set you should have picked first. Start from the second month, once number sense is in place. See the DILR plan.

Your strengths in VARC and beyond

Graduates who have read literature, history, economics, political science or philosophy often find CAT passages familiar in style and subject. That is a real advantage in the first section of the paper, and it sets up the next 80 minutes with confidence.

Non-engineers also often bring:

• Writing practice, which helps in the WAT.
• Varied interview material: a commerce graduate's articleship, an arts graduate's research project, a science graduate's lab work.
• Diversity points at some IIMs. Several admission policies give points for academic backgrounds less common in the applicant pool, which in practice usually means non-engineering degrees. See how IIMs shortlist.

A 12-week foundation plan

After week 12, move into regular mocks and analysis while you finish the remaining QA topics.

Practice set

1. 25% of a number is 45. What is 40% of the same number?
2. The ratio of two numbers is 3 : 5 and their sum is 64. Find the larger number.
3. A train 150 m long passes a pole in 10 seconds. Find its speed in km/h.
4. The average of five numbers is 18. When one number is removed, the average of the remaining four is 16. Which number was removed?
5. A salary is increased by 10% and then by another 10%. What is the total percentage increase?

Answers:

1. 72. The number is 45 ÷ 0.25 = 180, and 40% of 180 = 72.
2. 40. Total parts 3 + 5 = 8, one part = 64 ÷ 8 = 8, larger = 5 × 8 = 40.
3. 54 km/h. Speed = 150 ÷ 10 = 15 m/s, and 15 × 18/5 = 54 km/h.
4. 26. Sum of five = 5 × 18 = 90; sum of four = 4 × 16 = 64; removed = 90 − 64 = 26.
5. 21%. Factor 1.1 × 1.1 = 1.21, so the rise is 21%, not 20%.

If you solved all five inside six minutes, your foundations are in reasonable shape. If not, the 12-week plan above is exactly where to start.

What to do next

• Take one full-length mock this week to see your real starting point in each section.
• Learn the fraction table above until you can recall any value in two seconds.
• Start arithmetic with percentages and ratio, 20 questions a day.
• Read 40 minutes a day and write a two-line summary of each article.
• Check which of your target IIMs give academic diversity points.