IIM Kozhikode BMS 2025 Quantitative Aptitude — Question Paper with Complete Video Solutions
- Anshu Agarwal
- Sep 18
- 11 min read
Updated: Sep 19
The IIM Kozhikode BMS Aptitude Test (BMS-AT) 2025 was conducted on 22 June 2025. Here we bring you the complete set of 50 Quantitative Aptitude (QA) questions with video explanations. Each question is solved in detail to give you absolute conceptual clarity.
Whether you are preparing for IIM Kozhikode BMS AT, IPMAT Indore, IIM Bangalore BSc, IIM Bangalore DBE, IPMAT Rohtak, or JIPMAT, this resource will help you strengthen your QA preparation.
📌 Instructions
Total Number of Questions in IIM Kozhikode BMS 2025 Quantitative Aptitude : 50
Each question has 4 options (a, b, c, d).
Click on the “Video Explanation” link below each question to view the full video explanation.
The solutions are created by Anshu Agarwal (CAT QA 99.97 %ile, XAT QA Topper).
🔢 Quantitative Aptitude Questions with Video Solutions
A dataset consists of five observations: 19, 15, 24, 26 and x. If the median of the dataset is the same as the median of the three numbers: 24, 26, and x, then the mean of the dataset is
(a) 24
(b) 21
(c) 21.6
(d) None of these
Water flows at the rate of 5 km/hr through a pipe of diameter 14 cm into a rectangular tank that is 50 m long and 44 m wide. Determine the time in which the level of the water in the tank will rise by 7 cm. (Assume π = 22/7)
(a) 0.5 hrs
(b) 1 hr
(c) 2 hrs
(d) None of these
Consider the statement “A point on the curve y = x² is equidistance from the points (−1, 0) and (5, 0).”
(a) There are no such points
(b) There are only two such points
(c) There are infinitely many such points
(d) There is only one such point
In a potato race, a bucket is placed at the starting point, which is 5 m from the first potato, and the other potatoes are placed 3 m apart in a straight line. There are 20 potatoes in the line. Each competitor starts from the bucket, picks up the nearest potato, runs back with it, drops it in the bucket, runs back to pick up the next potato, runs to the bucket to drop it, and continues in the same way until all the potatoes are in the bucket. What is the total distance the competitor has to run?
(a) 1340m
(b) 1470m
(c) 1140m
(d) None of these
The sum of 30 terms of the series √2 + √8 + √18 + √32 + ⋯ is:
(a) 930/√2
(b) 465
(c) 465/√2
(d) None of these
A train covered a certain distance at a uniform speed. If the train would have been 6 km/h faster, it would have taken 4 hrs less than the scheduled time. And, if the train were slower by 6 km/h, it would have taken 6 hrs more than the scheduled time. Find the distance covered by the train.
(a) 180 kms
(b) 360 kms
(c) 720 kms
(d) None of these
If one of the roots of the equation x² + ax + 3a = 0 is 1, then its other root is:
(a) −0.25
(b) −0.75
(c) 3
(d) will depend on the value of a
A factory kept increasing its output by the same percentage every year. Find the percentage if it is known that the output has doubled in last two years. (Assume √2 = 1.4142)
(a) 41.42
(b) 50
(c) 100
(d) None of these
Two solid spheres made of the same metal have weights of 5920 gm and 740 gm. If the diameter of the smaller sphere is 5 cm, then the radius of the larger sphere will be
(a) 10 cms
(b) 5 cms
(c) 7.5 cms
(d) None of these
If x= ∛28 and y= ∛27, find the value of x+y- 1/(x²+xy+ y² )
(a) 3
(b) 6
(c) 2+ ∛28
(d) None of these
⭐ About the Educator
I am Anshu Agarwal, CAT QA 99.97 %ile and XAT QA Topper. My courses have helped 50+ students crack IPMAT Indore/Rohtak and JIPMAT, with top AIRs.
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If 1 + sin²θ = 3 sinθ cosθ then tanθ can take values:
(a) 1, 1/2
(b) 1, 2
(c) ½, 2
(d) None of these
The ratio of alcohol to water in two containers, A and B, are 5:3 and 1:3, respectively, with both containers having infinite capacity. Suppose that the aim is to obtain 2.1 litre of liquid which is composed of equal quantities of alcohol and water. How much liquid should be drawn from A?
(a) 1.4 litre
(b) 1.05 litre
(c) 0.35 litre
(d) 1.1 litre
Three women, Isha, Nisha, and Sudha, earn a monthly salary in the ratio 3:4:5. They also spend monthly in the ratio 3:5:6, saving the rest. If Sudha’s savings are 1/6th of her income, what’s the ratio of the three women’s monthly savings?
(a) 33:19:30
(b) 0:1:1
(c) −3:2:1
(d) 3:2:1
An exporter estimates with certainty that a 26% higher price for his product will decrease the volume of sales in a foreign market by 30%. After having to increase the price by 26%, the revenue obtained from sales in that market turned out to be ₹44.1 Cr. What would the revenue have been if the exporter had been allowed to sell at the old price?
(a) ₹55.57 Cr
(b) ₹50 Cr
(c) ₹63 Cr
(d) ₹45.86 Cr
A parcel’s shipping cost is proportional to the square of its volume in cubic meters. Suppose we break the parcel into 3 packages in the ratio 2:3:5 of its original volume, to qualify for lower shipping cost. If the savings are equivalent of √6200 cubic meters, what was the original volume of the parcel?
(a) 8.3 cubic meter
(b) 10.8 cubic meter
(c) 28 cubic meter
(d) 10 cubic meter
Shalini got 30% of the maximum marks in an exam. She failed by 50 marks. Malini scored 40% of the maximum, and this score was 20 marks more than the pass mark. What is the pass mark?
(a) 350
(b) 260
(c) 700
(d) 100
One country’s GDP is currently $600 billion and is growing at 10% per annum. Another country’s GDP is $700 billion, while it is growing at 5% per annum. How many years will it take for the GDP of the 1st country to overtake the 2nd?
(a) 3
(b) 4
(c) 6
(d) 8
If y > 0, and logᵧ(x) = 4, log₁₀y(25x) = 2 hold, what is y ?
(a) None of these
(b) 4
(c) 5
(d) 10
Say y = 3√2 - 4, find y² + 1/y²
(a) 17/ 4
(b) 51 - 12√2
(c) None of these
(d) 137 - 96√2
If x⁽¹⁄¹²⁾ = 49⁽¹⁄²⁴⁾, then the value of x is :
(a) 4
(b) 7
(c) 6
(d) 5
⭐ About the Educator
I am Anshu Agarwal, CAT QA 99.97 %ile and XAT QA Topper. My courses have helped 50+ students crack IPMAT Indore/Rohtak and JIPMAT, with top AIRs.
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If 360 = 2ˣ3ʸ5ᶻ, then x + y + z ?
(a) 6
(b) 7
(c) 8
(d) 10
A told B, “When I was as old as you are now, then your age was four years less than half of my present age”. If the sum of the present ages of A and B is 61 years, what is B’s present age in years?
(a) 35
(b) 25
(c) 31
(d) 24
By selling a cloth that is 33m long, a draper loses an amount equal to the selling price of 3m of cloth. What is his loss %?
(a) 100/ 10
(b) 100/ 11
(c) 100/ 12
(d) None of these
The simple interest and compound interest on a certain sum for 2 years is ₹ 1250 and ₹ 1475, respectively. The rate of interest per annum (compounded annually) in percentage is:
(a) 12
(b) 24
(c) 36
(d) None of these
If a boat takes 4 hours longer to travel a distance of 45 km upstream than to travel the same distance downstream, then find the speed of the boat in still water if the speed of the stream is 2 km/hour.
(a) 7
(b) 14
(c) 10
(d) 9
A thief runs away from a police station with a uniform speed of 100m/minute. After 1 minute, a policeman runs behind the thief to catch him. He runs at a speed of 100m/min in the first minute and increases his speed by 10m/min in each succeeding minute. At the end of which minute, will the policeman be able to catch the thief?
(a) 6
(b) 7
(c) 9
(d) None of these
A lift carrying 50 passengers from the ground floor of a 100-storeyed building is moving upwards. The lift stops at the 1st, 2nd, and 3rd floor, then skips the 4th floor, again stops at the 5th, 6th, and 7th, then skips the 8th floor, and so on. Passengers get discharged in a pattern. 2, 3, 3, 2, 3, 3….. On which floor does the lift become empty?
(a) 25th floor
(b) 28th floor
(c) 23rd floor
(d) None of these
Simplify the following : 1/log₈(x) - 1/log₇(x) + 1/log₆(x) - 1/log₅(x) + 1/log₄(x) - 1/log₃(x) + 1/log₂(x) ?
(a) log₈(16x/35)
(b) log₂(5x/2)
(c) logₓ(128/35)
(d) logₓ(1/40320)
29. What is the minimum number of times a fair coin must be tossed so that the probability of getting at least one head exceeds 0.95?
(a) 2
(b) 3
(c) 5
(d) 7
30. The zeros of ax² + bx + c = 0 are in the ratio 1 : 2 (assume the coefficients to be non- zero). Which of these is one of the zeros?
(a) ²ᶜ/ᵇ
(b) ⁻³ᶜ/ᵇ
(c) ³ᶜ/ᵇ
(d) ⁻ᶜ/²ᵇ
⭐ About the Educator
I am Anshu Agarwal, CAT QA 99.97 %ile and XAT QA Topper. My courses have helped 50+ students crack IPMAT Indore/Rohtak and JIPMAT, with top AIRs.
📌 Learn with my structured courses:
31. The diameter of a solid sphere is 6 cm. If the sphere is melted and drawn into a wire of diameter 2 mm, the length of the wire will be
(a) 12 m
(b) 18 m
(c) 24 m
(d) None of these
32. Find the area of a trapezium whose parallel sides measure 25 cm and 13 cm, while the other two sides measure 15 cm each.
(a) 114√21 sq.cm
(b) 285 sq.cm
(c) 57√21 sq.cm
(d) None of these
33. What must be added to x⁴ + 2x³ − 2x² + x − 1 so that the result is exactly divisible by x² + 2x − 3?
(a) 2 − x
(b) x − 1
(c) x² + x − 1
(d) None of these
34. If x² + 1/x² = 83 and x > 1, then the value of x³ − 1/x³ is
(a) 81
(b) 756
(c) 729
(d) None of these
35. The pair of tangents drawn from an external point to a circle are perpendicular to each other and the length of each tangent (from the point to the circle) is 5 cm. The radius of the circle is
(a) 10 cm
(b) 5/√2 cm
(c) 5 cm
(d) 2.5 cm
36. If a pole 6 m high casts a shadow 2√3 m long on the ground, then the sun’s elevation is:
(a) 60°
(b) 45°
(c) 30°
(d) None of these
37. sinθ/(1 + cosθ) is equal to
(a) (1 + cosθ)/sinθ
(b) (1 − cosθ)/cosθ
(c) (1 − cosθ)/sinθ
(d) (1 − sinθ)/cosθ
38. If the radii of two concentric circles are 4 cm and 5 cm, then the length of a chord of one circle that is tangent to the other circle is
(a) 6 cm
(b) 3 cm
(c) 1 cm
(d) 9 cm
39. If one angle of a triangle is equal to the sum of the other two angles, then the triangle must be
(a) an isosceles triangle
(b) an obtuse triangle
(c) an equilateral triangle
(d) a right-angled triangle
40. If one angle of a parallelogram is 24° less than twice its adjacent angle, then the largest angle of the parallelogram is:
(a) 68°
(b) 102°
(c) 112°
(d) 136°
⭐ About the Educator
I am Anshu Agarwal, CAT QA 99.97 %ile and XAT QA Topper. My courses have helped 50+ students crack IPMAT Indore/Rohtak and JIPMAT, with top AIRs.
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41. The average of any 4 consecutive odd positive integers, where the 1ˢᵗ number is a multiple of 3, must be divisible by which of these?
(a) 2
(b) 3
(c) 4
(d) 6
42. Let A = {a, b, c, d, e}. The number of subsets that contain exactly 3 of these elements are?
(a) 10
(b) 20
(c) 60
(d) 5
43. 3 bells ring at intervals of 3 hrs, 4 hrs and 16 hrs respectively. If they have rung together once today, what day in the future will they ring together next?
(a) 5 days hence
(b) tomorrow
(c) 3 days hence
(d) day after tomorrow
44. If p, q, and r are in geometric progression, which of the following is true about qr, pr, and pq?
(a) they are in arithmetic progression
(b) they are in geometric progression
(c) they are in harmonic progression
(d) None of these
45. There is a 4-in-5 chance that A can complete the marathon. There is a 5-in-8 chance that B can’t complete the marathon, which is independent of A’s performance. What is the probability that both A and B end up completing?
(a) 0.46875
(b) 0.78125
(c) 0.3
(d) 0.5
46. What’s the area of the quadrilateral included inside the points: (−1, 2), (−1, 4), (7, 2), (7, 4)?
(a) 14 sq. units
(b) 16 sq. units
(c) None of these
(d) 8 sq. units
47. If n ≤ 4 and 2 ≤ m ≤ n ≤ 5, then what is the greatest possible value of (n − m)(n + m)?
(a) 9
(b) 21
(c) 12
(d) None of these
48. 8% of boys in a class made it past the 90ᵗʰ percentile, while 12% of the girls in the same class made it past that mark. Suppose there are 120 students in this class: what is the number of boys?
(a) 60
(b) 50
(c) 40
(d) None of these
49. Coins of ₹2, ₹5, and ₹10 denominations are in a bag in the ratio of 30 : 20 : 10, of which the ₹5 coins amount to ₹250. What is the total value of coins in the bag?
(a) ₹650
(b) ₹260
(c) ₹875
(d) ₹850
50. A trader declares that he will sell his commodity at 10% profit over his cost price. However, he alters his weighing balance to sell 10% less to each customer. What is his true profit margin in percent?
(a) 10
(b) 22.22
(c) 20
(d) 33.33
⭐ About the Educator
I am Anshu Agarwal, CAT QA 99.97 %ile and XAT QA Topper. My courses have helped 50+ students crack IPMAT Indore/Rohtak and JIPMAT, with top AIRs.
📌 Learn with my structured courses:
📝 Conclusion
You now have access to all 50 questions of the IIM Kozhikode BMS 2025 Quantitative Aptitude section with detailed video solutions. Regular practice of these problems will not only help in BMS but also in CAT, IPMAT, JIPMAT, and other top management entrance exams.
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