The Quantitative Aptitude section is the single most important differentiator in IPMAT Indore. It consists of 40 MCQ questions and 20 Short Answer Questions — 60 QA questions in total. The MCQ portion carries negative marking (-1 per wrong answer), while the Short Answer portion does not. This unique structure means a student who masters QA can score far ahead of peers in the Verbal Ability section and still clear the cutoff with room to spare.
This guide gives you a complete chapter-wise breakdown, 10 solved IPMAT-level problems, time management strategy, and a 30-day intensive practice plan.
IPMAT Indore QA: Section Structure at a Glance
| Sub-section | Questions | Marks Each | Total Marks | Negative Marking |
|---|---|---|---|---|
| QA — MCQ | 40 | +4 | 160 | -1 per wrong |
| QA — Short Answer | 20 | +4 | 80 | None |
| Total QA | 60 | — | 240 | — |
| Verbal Ability (MCQ) | 40 | +4 | 160 | -1 per wrong |
| Grand Total | 100 | — | 400 | — |
Chapter-wise Syllabus Breakdown
| Topic / Chapter | Expected Questions | Difficulty | Must Practice |
|---|---|---|---|
| Arithmetic (Percentage, Profit & Loss, SI/CI, Ratio & Proportion, Time-Work, Time-Speed-Distance, Mixtures) |
12-15 questions | Moderate | Yes — Highest weightage |
| Algebra (Linear equations, Quadratic equations, Polynomials, Inequalities, Functions) |
8-10 questions | Moderate-High | Yes |
| Number Theory (Factors, Divisibility, HCF, LCM, Remainders, Unit digit, Cyclicity) |
5-7 questions | Moderate | Yes |
| Geometry (Triangles, Circles, Quadrilaterals, Coordinate Geometry, Mensuration) |
6-8 questions | High | Yes |
| Combinatorics (Permutation, Combination, Basic Probability) |
4-6 questions | High | Yes |
| Progressions (AP, GP, HP, Sum of series) |
3-5 questions | Moderate | Yes |
| Logarithms & Surds (log rules, change of base, simplification of surds) |
2-4 questions | Moderate | Yes |
| Data Interpretation (Tables, Bar Graphs, Pie Charts, Line Graphs) |
4-6 questions | Moderate | Yes |
10 Solved IPMAT-Level QA Problems
Problem 1 — Profit & Loss
Q: A merchant buys goods for ₹4,500 and marks them up by 40%. He then gives a 25% discount. Find his net profit or loss percentage.
Solution:
Marked Price = 4500 × 1.40 = ₹6,300
Selling Price = 6300 × 0.75 = ₹4,725
Profit = 4725 − 4500 = ₹225
Profit% = (225/4500) × 100 = 5% profit
Problem 2 — Quadratic Equation
Q: If x² − 7x + 12 = 0, find the value of x² + 1/x².
Solution:
Roots: (x-3)(x-4) = 0 → x = 3 or x = 4
For x = 3: x² + 1/x² = 9 + 1/9 = 82/9
For x = 4: x² + 1/x² = 16 + 1/16 = 257/16
(IPMAT may specify which root — always check the question for constraints.)
Problem 3 — Time and Work
Q: A can finish a job in 12 days, B in 15 days. They work together for 4 days, then A leaves. How many more days will B take to finish?
Solution:
Combined rate = 1/12 + 1/15 = 9/60 = 3/20 per day
Work done in 4 days = 4 × 3/20 = 12/20 = 3/5
Remaining = 1 − 3/5 = 2/5
Time for B alone = (2/5) ÷ (1/15) = (2/5) × 15 = 6 days
Problem 4 — Permutation & Combination
Q: In how many ways can the letters of the word “MASTER” be arranged so that the vowels always appear together?
Solution:
Vowels in MASTER: A, E (2 vowels). Treat AE as a block.
Total units = 5 (M, [AE], S, T, R) → 5! = 120 arrangements
AE block internal arrangements = 2! = 2
Total = 120 × 2 = 240 arrangements
Problem 5 — Number Theory
Q: What is the number of factors of 720?
Solution:
720 = 2⁴ × 3² × 5¹
Number of factors = (4+1)(2+1)(1+1) = 5 × 3 × 2 = 30 factors
Problem 6 — Arithmetic Progressions
Q: The sum of the first 15 terms of an AP is 480 and the sum of the first 5 terms is 100. Find the common difference.
Solution:
S₁₅ = (15/2)(2a + 14d) = 480 → 2a + 14d = 64 → a + 7d = 32 …(i)
S₅ = (5/2)(2a + 4d) = 100 → 2a + 4d = 40 → a + 2d = 20 …(ii)
Subtracting (ii) from (i): 5d = 12 → d = 12/5 = 2.4
Problem 7 — Logarithms
Q: If log₁₀(2) = 0.301 and log₁₀(3) = 0.477, find log₁₀(72).
Solution:
72 = 8 × 9 = 2³ × 3²
log₁₀(72) = 3 × log₁₀(2) + 2 × log₁₀(3)
= 3 × 0.301 + 2 × 0.477
= 0.903 + 0.954 = 1.857
Problem 8 — Geometry
Q: A circle is inscribed in a right-angled triangle with legs 6 cm and 8 cm. Find the radius of the inscribed circle.
Solution:
Hypotenuse = √(36 + 64) = 10 cm
Inradius r = (a + b − c)/2 = (6 + 8 − 10)/2 = 4/2 = 2 cm
Problem 9 — Ratio & Proportion
Q: A sum of ₹12,000 is divided among A, B, and C in the ratio 3:4:5. How much does B receive?
Solution:
Total parts = 3 + 4 + 5 = 12
B’s share = (4/12) × 12,000 = ₹4,000
Problem 10 — Data Interpretation (Table)
Q: A table shows that Company X had revenue of ₹240 crore in 2022 and ₹312 crore in 2023. By what percentage did the revenue increase?
Solution:
Increase = 312 − 240 = ₹72 crore
Percentage increase = (72/240) × 100 = 30%
Time Management Strategy: MCQ vs Short Answer
You have 120 minutes for the full paper (QA + VA). Most toppers recommend spending 60-65 minutes on QA and 55-60 minutes on VA.
- QA MCQ (40 Qs in ~40 minutes): Target 1 minute per MCQ. Skip and mark anything that takes longer than 90 seconds. Return if time allows.
- QA Short Answer (20 Qs in ~20 minutes): These carry no negative marking — attempt ALL 20. Even an educated guess on a numeric answer can yield +4 marks. Prioritise SA questions on topics you’re strong in first.
- VA (40 Qs in ~55 minutes): Vocabulary and grammar are quick. RC passages take time — read once carefully and answer all questions of a passage before moving to the next.
- Golden rule: Never leave SA blank. A wrong SA answer costs you nothing. A right SA answer is worth the same +4 as a right MCQ.
Recommended Books for IPMAT QA
- Quantitative Aptitude for Competitive Examinations — R.S. Aggarwal (for arithmetic fundamentals)
- How to Prepare for Quantitative Aptitude — Arun Sharma (CAT-level, pushes difficulty above IPMAT level — ideal for IPMAT Indore)
- Arihant IPMAT Guide — Good for IPMAT-specific practice and past papers
- IPMAT Past Papers (2015-2024) — Non-negotiable. Solve every past paper under timed conditions.
Common Mistakes in IPMAT QA
- Calculation errors under pressure: IPMAT QA demands speed. Practice mental math — multiplication tables up to 25, squares up to 30, cubes up to 15.
- Ignoring Short Answer Questions: Many students focus only on MCQs. This is a strategic blunder — SA questions have zero negative marking and are often conceptually easier.
- Skipping Geometry and Coordinate Geometry: These topics feel hard but follow predictable patterns. Learn the standard theorems and formula set thoroughly.
- Over-spending on one MCQ: If an MCQ takes more than 2 minutes, skip it. The opportunity cost is too high.
- Not practicing DI: Data Interpretation tables and graphs appear regularly and can be solved quickly with practice — yet many students skip DI preparation.
30-Day IPMAT QA Practice Plan
| Week | Topics | Daily Target |
|---|---|---|
| Week 1 | Arithmetic: Percentage, Profit/Loss, SI/CI, Ratio, Time-Work | 30 problems/day |
| Week 2 | Algebra (equations, functions) + Number Theory (factors, HCF/LCM, remainders) | 30 problems/day |
| Week 3 | Geometry (triangles, circles, coordinate) + Combinatorics + Progressions + Logs | 30 problems/day |
| Week 4 | Full QA mock sections (60 questions, 60 minutes) + Past paper analysis + Weak area revision | 2 full mock QA sections/day |
Frequently Asked Questions
How many QA questions are there in IPMAT Indore 2027?
IPMAT Indore has 60 QA questions total — 40 MCQs (with -1 negative marking) and 20 Short Answer questions (no negative marking). Each question carries +4 marks, making QA worth 240 out of 400 total marks.
Which topics have the highest weightage in IPMAT QA?
Arithmetic (Percentage, Profit/Loss, Ratio, Time-Work, Speed-Distance) has the highest weightage with 12-15 questions. Algebra (Linear/Quadratic equations) and Geometry (Triangles, Circles, Coordinate Geometry) are the next most important topics. Together these three areas account for 65-70% of QA questions.
Should I attempt all Short Answer questions in IPMAT?
Yes — always attempt all 20 Short Answer questions. Since there is no negative marking in the SA section, a wrong answer costs nothing while a right answer earns +4 marks. Even if unsure, make your best estimate based on your working.
Is Class 11 and 12 Maths enough for IPMAT QA?
Class 11 and 12 Mathematics covers most of the IPMAT QA syllabus (coordinate geometry, progressions, logarithms, algebra, basic probability). However, IPMAT also heavily tests Arithmetic (percentage, profit/loss, time-work) which is Class 10 level but requires faster application speed. Supplement Class 11/12 Maths with dedicated aptitude books focused on speed and IPMAT-style problems.
What is a good score in IPMAT Indore QA to clear the cutoff?
To clear the sectional and overall cutoffs for IPMAT Indore (General category), aim for 120-140+ out of 240 in QA. Combined with a strong VA score, a total of 185-210+ generally qualifies for the Group Exercise and Personal Interview round. Cutoffs vary each year based on difficulty and competition.
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