With less than 30 days left on the clock, most IPMAT aspirants are stuck choosing between covering new topics and reinforcing what they already know. The answer is neither — it is targeted practice on the most high-frequency IPMAT top quantitative aptitude questions, the kind that separate 95-percentilers from the rest. This blog breaks down the most important questions from Career Launcher’s experts, maps them to the topics most likely to appear in your exam, and gives you a 30-day action plan to peak at the right time.
Table of Contents
Why the Last 30 Days Are Make-or-Break for IPMAT Quant
What the IPMAT Quant Section Looks Like
| Parameter | IPMAT (IIM Indore) | JIPMAT |
| Total Questions (Quant) | ~30 MCQ + 15 SA | ~25 MCQ |
| Marks per Correct MCQ | +4 | +4 |
| Negative Marking (MCQ) | −1 | −1 |
| SA Questions | Yes (no negative marking) | No |
| Time Allotted (Quant) | 40 minutes | 40 minutes |
Why Focused Revision Beats Random Practice
At this stage, attempting 200 random questions gives you breadth but not depth. Research on exam performance consistently shows that revisiting the same concept cluster across 3–5 well-chosen problems builds the pattern recognition you need to solve unseen questions quickly. The 18 questions in this blog are drawn from actual IPMAT-style sets by Career Launcher — each one is a representative of a high-weightage cluster.
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Start Now →Topic-Wise Breakdown of IPMAT Top Quantitative Questions
| Topic | Questions (from this set) | Typical IPMAT Weightage |
| Number System & Divisibility | Q1, Q2, Q3, Q16 | High — 4–6 questions |
| Ratio, Proportion & Averages | Q4, Q5, Q6, Q8, Q14 | High — 5–7 questions |
| Work & Time / Efficiency | Q9, Q10 | Medium — 2–4 questions |
| Algebra & Quadratic Equations | Q15 | Medium — 2–3 questions |
| Logarithms, AP/GP & Sequences | Q11, Q12 | Medium — 2–4 questions |
| Matrices & Determinants | Q7 | Low-Medium — 1–2 questions |
| Geometry & Trigonometry | Q13, Q17 | Medium — 3–4 questions |
| Absolute Value & Functions | Q18 | SA-type — high scoring |
Must-Solve IPMAT Quantitative Ability Questions
Q1. How many zeroes will there be at the end of the product 2^(3⁴) × 25^(4³)?
- 64
- 128
- 81
- 32
Q2. Given that 59292564P61Q is divisible by 99, but not by 22. If Q is greater than P, find the value of P.
- 5
- 2
- 0
- 4
Q3. How many possible pairs of (x, y) are possible if 257x4y is divisible by 15?
- 1
- 2
- 3
- 4
Q4. The number of boys in a school was 30 more than the number of girls. Subsequently, a few more girls joined the same school. Consequently, the ratio of boys and girls became 3:5. Find the minimum number of girls who joined subsequently.
- 31
- 51
- 52
- 55
Q5. The owner of a Maruti Suzuki showroom has Alto, Swift and Brezza cars in the ratio of 3:7:11. If the number of Swift cars is more than the number of Alto cars by a number that is a multiple of both 7 and 8, find the minimum sum of these cars in his showroom.
- 588
- 336
- 252
- 294
Q6. Group P has females and males in the ratio of 3:5, group Q has males and females in the ratio of 3:2. If the number of people in group P is at least two-third of the number of people in group Q, find the minimum percentage of males when both groups are considered together.
(Short Answer — no options)
Q7. If A = [[1, 2, 3], [1, 3, 5], [2, 1, 6]] and |adj(adj A)|(adj A)⁻¹ = kA, then find k.
- 1296
- 432
- 216
- 36
Q8. The average marks of 3/7th of the entire class is 70% of the average marks of the entire class. What is the ratio of the average marks of the remaining students to that of the entire class?
- 49:40
- 3:7
- 7:4
- None of these
Q9. Sita is thrice as efficient as Geeta. Geeta can complete a piece of work in 20 days. Geeta worked alone for some days and then Sita joined her. If the work gets completed in 14 days, for how many days did Geeta work alone?
(Short Answer — no options)
Q10. P and Q could do a piece of work in 15 days and 21 days respectively. Initially Q started working and P joined him after some days. If the total work got completed in 14 days, after how many days did P join Q?
- 8
- 9
- 6
- 7
Q11. For how many values of ‘k’ are log a, log ka and log(4a) in an arithmetic progression?
(Short Answer — no options)
Q12. The equation x + 2log₁₀(x − 1) = 1 + 2/log(x−1)₁₀ has _______.
A. No root
B. One root
C. Two roots
D. Infinitely many roots
Q13. The sides of a triangle are 21, 17, and 10 cm. The triangle is divided into two triangles by the perpendicular on the longest side from the opposite vertex. What is the area (in sq. cm) of the larger triangle formed?
A. 24
B. 36
C. 60
D. 84
Q14. The average weight of 45 children is 8 kg. Out of these 45 children, exactly 30 have weights that are 8 kg or less. If all the children’s weights are in integral kilograms, what is the highest possible value for the average weight (in kg) of these 30 children?
A. 7
B. 7.25
C. 7.5
D. 7.75
Q15. Let integer ‘p’ be one of the roots of ax² + 4x + 6 = 0 and integer ‘q’ be one of the roots of 2x² − 7x + 3 = 0. If p = q², what is the value of ‘a’?
A. −112
B. −5/9
C. −2/3
D. −14/27
Q16. The number 123456789101112… is formed by writing whole numbers 1, 2, 3, … until there are 201 digits. Find the remainder when this number is divided by 9.
A. 1
B. 2
C. 3
D. 4
E. 5
Q17. Given that cos α = 12/13, where 0° ≤ α ≤ 90°, and tan β = 3/4, where 180° ≤ β ≤ 270°. Find sin(β − α).
A. −16/65
B. 16/65
C. −56/65
D. 56/65 E. 33/65
Q18. Consider the function f(x) = 3|x + 2| + 2|x| + |x − 1| + 5|x − 2|, where x is any real number. What is the minimum possible value of f(x)?
(Short Answer — no options)
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How to Approach IPMAT Quant in the Last 30 Days
Week-by-Week Study Plan
| Week | Focus Area | Daily Target | Mock Strategy |
| Week 1 (Days 1–7) | Number System, Divisibility, Ratios | 15 questions/day + concept review | 1 topic-wise test on Day 7 |
| Week 2 (Days 8–14) | Work-Time, Averages, Algebra, Logs | 15 questions/day + error log | 1 sectional mock on Day 14 |
| Week 3 (Days 15–21) | Geometry, Trigonometry, Matrices, Functions | 12 questions/day + previous year papers | 1 full mock on Day 21 |
| Week 4 (Days 22–30) | Full revision + SA question drills | 10 targeted questions + 2 full mocks | 2 full mocks + analysis |
Daily Practice Targets
- Spend 45–60 minutes on quant daily — quality over quantity
- Maintain an error log: note every wrong answer with the reason
- Solve at least 2 SA-type questions per day; they’re your safest score-boosters
Common Mistakes to Avoid in IPMAT Quant
- Skipping SA questions: Many students skip SA thinking they’re harder. They’re not — and there is no penalty. Attempt all.
- Misapplying divisibility rules: For composite divisors like 99, split into coprime factors (9 and 11) and apply rules separately.
- Ignoring quadrant signs in trigonometry: Always identify which quadrant the angle lies in before computing sin/cos/tan values.
- Not checking prime factorization: Questions on trailing zeroes and HCF/LCM require complete prime factorisation — a rushed answer will be wrong.
- Over-spending on difficult MCQs: In the exam, if an MCQ is not solved in 90 seconds, mark it for review and move on. One difficult MCQ should not cost you three easy ones.
Conclusion
The IPMAT top quantitative aptitude questions in this blog are not random — they are drawn from real exam sets and cover every major topic cluster you will face. With 30 days to go, your job is not to learn everything new; it is to solve the right problems, understand where you go wrong, and build the reflex to solve under pressure.
Use the 30-day plan, drill the SA questions daily, and take at least two full mocks in the final week. That combination is what Career Launcher’s students have used to crack IPMAT for over a decade.
FAQ
Q: How many quantitative aptitude questions are in the IPMAT exam?
IPMAT (IIM Indore) has approximately 30 MCQ and 15 SA (Short Answer) questions in the Quantitative Ability section. The exact split can vary slightly year to year, so always check the official notification at iimindore.ac.in.
Q: Which quant topics carry the most weight in IPMAT 2025?
Based on past papers, Number System & Divisibility, Ratio & Proportion, Averages, and Work & Time are consistently high-weightage. Algebra, Logarithms, and Geometry follow closely. Refer to the topic-wise table in Section 2 above.
Q: What is the difficulty level of IPMAT quantitative aptitude?
IPMAT quant is rated moderate to difficult — comparable to CAT short-listed students but not at CAT’s depth. SA questions tend to be easier; MCQs include a few high-difficulty questions targeting top scorers. Consistent practice at IPMAT level is more effective than CAT-level preparation at this stage.
Q: Which topics should I focus on in the last 30 days of IPMAT quant?
Prioritize: Number System, Ratio & Proportion, Work & Time, Logs & Sequences, and Absolute Value functions (SA staple). Spend Week 3 on Geometry and Trigonometry. See the 30-day plan in Section 4.
Q: Are there negative marks for quant questions in IPMAT?
For MCQs, there is a −1 penalty per wrong answer. SA (Short Answer) questions carry no negative marking — making them the safest scoring opportunity in the paper. Always attempt every SA question.
Q: How is JIPMAT quant different from IPMAT quant?
JIPMAT (for IIM Jammu and IIM Bodhgaya) has only MCQ-type quant questions (no SA), with a similar negative marking structure. The syllabus overlaps significantly with IPMAT, but JIPMAT questions are generally slightly easier in complexity.
Q: Where can I find free IPMAT mock tests for quantitative aptitude?
Career Launcher offers free IPMAT topic-wise tests and full mocks. Attempt FREE IPMAT Mock Tests here.
