Last Updated: April 2026
IPMAT Quantitative Aptitude is the make-or-break section of the IPMAT exam — especially for IIM Indore’s unique Short Answer (SA) type questions. Students with strong Maths background consistently outperform in IPMAT. This comprehensive guide covers the entire IPMAT QA syllabus with strategies, important formulas, and practice tips for IPMAT 2027.
IPMAT QA Section — Structure
| Exam | QA Section Type | Questions | Difficulty |
|---|---|---|---|
| IPMAT Indore | MCQ + Short Answer (SA) | 40 MCQ + 20 SA = 60 | High |
| IPMAT Rohtak | MCQ only | 40 | Moderate |
| JIPMAT | MCQ only | 33 (QA) + 33 (DI+LR) | Moderate |
IPMAT QA Syllabus — Topic-wise
Arithmetic (40–50% of QA questions)
| Topic | Sub-Topics to Cover | IPMAT Relevance |
|---|---|---|
| Percentages | Basic %, successive change, reverse % | Very High |
| Profit, Loss & Discount | Cost price, selling price, markup % | High |
| Ratio & Proportion | Direct/inverse, compounded ratio | High |
| Time, Speed & Distance | Trains, boats, circular tracks | High |
| Time & Work | Pipes & cisterns, work efficiency | Moderate |
| Simple & Compound Interest | SI/CI difference, effective rate | High |
| Averages, Mixtures | Weighted average, alligation | Moderate |
Algebra (20–25% of QA questions)
- Linear and Quadratic Equations
- Inequalities and Modulus
- Functions and their properties
- Sequences and Series (AP, GP, HP)
- Logarithms and Surds
- Set Theory and Venn Diagrams
Number Theory (15–20%)
- Divisibility rules
- HCF and LCM
- Prime numbers and factorisation
- Remainders (Fermat’s Little Theorem, Chinese Remainder Theorem basics)
- Unit digit and last two digits
- Perfect squares, cubes
Geometry & Mensuration (10–15%)
- Triangles (properties, congruence, similarity, Pythagoras)
- Circles (tangent, chord, arc properties)
- Quadrilaterals and polygons
- Solid geometry (cube, cuboid, cylinder, cone, sphere)
- Coordinate geometry basics
Modern Mathematics (10%)
- Permutations and Combinations
- Probability (basic)
- Matrices (for IPMAT Indore — Class 12 level)
- Binomial Theorem (basic terms)
Key Formulae for IPMAT QA
| Topic | Formula |
|---|---|
| Compound Interest | A = P(1 + r/100)ⁿ; CI = A − P |
| Sum of AP | S = n/2 × [2a + (n−1)d] |
| Sum of GP | S = a(rⁿ − 1)/(r−1) for r ≠ 1 |
| Combinations | ⁿCᵣ = n! / (r! × (n−r)!) |
| Distance formula | d = √[(x₂−x₁)² + (y₂−y₁)²] |
| Work formula | If A takes ‘a’ days, rate = 1/a per day |
| Train crossing platform | Time = (length of train + length of platform) / speed |
| Square root of 1764 | 42 (memorise common square roots!) |
IPMAT Short Answer (SA) Strategy
The SA section is IPMAT Indore’s most challenging component. You must write exact numerical answers — no multiple choice to fall back on. Key strategies:
- Never guess — Unlike MCQ, wrong answers in SA still attract negative marking in some years. Verify this in the official notification.
- Show workings — Even in timed conditions, rough work reduces calculation errors.
- Master Mental Math — Practice multiplying 2-digit numbers, squaring numbers up to 30, cube roots up to 15³.
- Divisibility tests — By 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13. These save huge time in SA questions.
- Time allocation — In 40 minutes for SA (20 questions), give max 2 minutes per question. Move on if stuck.
Common IPMAT QA Question Types
Type 1: Percentage Problems
Example: 15% of 400 = 60. IPMAT often chains 2–3 percentage operations. Practice “successive percentage” shortcuts.
Type 2: Work and Time
Example: 8 workers complete a job in 6 days. 12 workers take = (8 × 6)/12 = 4 days. Use the MDH formula: M₁D₁H₁ = M₂D₂H₂
Type 3: Age Problems with Ratios
Example: Ratio A:B = 3:4 now. After 5 years becomes 4:5. Find current age of A. Answer: Let A = 3k, B = 4k. (3k+5)/(4k+5) = 4/5 → 15k+25 = 16k+20 → k=5, so A = 15.
Type 4: Compound Interest
CI on ₹1000 at 10% for 2 years = 1000 × [(1.1)² − 1] = 1000 × 0.21 = ₹210
30-Day IPMAT QA Preparation Plan
| Week | Focus | Daily Target |
|---|---|---|
| Week 1 | Arithmetic Foundation | 20 Arithmetic problems/day |
| Week 2 | Algebra + Number Theory | 15 Algebra + 10 Number Theory |
| Week 3 | Geometry + Permutation-Combination | 15 Geometry + 10 PnC |
| Week 4 | Full Mock Tests + SA Section Practice | 2 full section mocks + 20 SA-type questions |
FAQ — IPMAT Quantitative Aptitude
Is Class 12 Maths required for IPMAT?
For IPMAT Indore, yes — some SA questions test Class 11-12 concepts like logarithms, sequences, probability, and coordinate geometry. For JIPMAT and IPMAT Rohtak, Class 10 level arithmetic and algebra is mostly sufficient, with some Class 11 exposure helpful.
What is the cutoff for IPMAT QA section?
IPMAT Indore has sectional cutoffs. The QA sectional cutoff typically requires a score around 30–40+ out of 60 for the General category. The overall cutoff for shortlisting to Personal Interview round is usually 75–85% of maximum marks. Check the official IIM Indore notification for 2027 cutoffs.
Which topics should I skip in IPMAT QA?
No topic should be completely skipped, but you can deprioritise: advanced Trigonometry, 3D Coordinate Geometry, and Complex Numbers for IPMAT Indore. Focus first on Arithmetic (Percentage, Ratio, CI/SI, Time-Work, Speed) as these contribute 40–50% of QA marks. Master these before moving to less-frequent topics.
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Practice QA Quiz
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