Top 50 IIMB UG 2025 Quant Questions PDF with Video Solutions

Rakesh

1060

Dec 10, 2025

Latest Updates:

    • February 26, 2026: Here we have discussed IIM Udaipur BBA Admission 2026, including eligibility, fees, selection process, important dates, and application steps in simple words.Read More
    • February 25, 2026: Here, we have discussed the SET Syllabus 2026 with a detailed section-wise syllabus, exam pattern, topic-wise weightage, and preparation strategy for success.Read More
    Top 50 IIMB UG 2025 Quant Questions PDF with Video Solutions

    Top 50 IIMB UG 2025 Quant Questions

    Quantitative & Data Interpretation (Maths) is one of the most important sections in the IIMB UG admission test. It tests your problem-solving skills, accuracy, and speed — three qualities that matter a lot in management education.

    Practicing the Top 50 IIMB UG 2025 Quant Questions helps you revise the most expected topics and understand the type of questions that can appear in the exam. These questions are carefully designed based on the latest difficulty level and commonly asked areas such as:

    Most Expected Quant Topics

    • Arithmetic (Percentages, Profit & Loss, Ratios)
    • Algebra (Equations, Polynomials)
    • Number System
    • Geometry & Mensuration
    • Data Interpretation
    • Trigonometry

    These 50 questions act as a quick but powerful revision pack. Solve them with a timer to improve both speed and accuracy.

    Why Practice with Cracku's Top 50 IIMB UG Quant Questions PDF Before the Exam

    Many students depend only on theory until the last moment and then struggle in the real exam due to lack of practice. This is why practicing a quality PDF like Cracku’s Top 50 IIMB UG Quant Questions can make a big difference.

    • Covers all important and frequently repeated question types
    • Includes shortcuts and solutions for better learning
    • Contains expert-designed questions
    • Helps improve accuracy and speed for the actual test day
    • Ideal for final revision during the last few weeks

    Question 1

    Two persons, A and B, start from the same point and travel from Chandigarh to Ambala. The distance between Chandigarh and Ambala is 60 km. Speed of A is 4km/hr slower than B. B, when he reaches Ambala, starts back via the same route without taking any rest and meets A, who was still 12km away from Ambala. Find the speed of A.

    Show Answer Explanation

    Question 2

    A man rows 20 km upstream and back again to the starting point in 110 minutes. If the speed of the stream is 2 kmph, then the speed of rowing in still water is

    Show Answer Explanation

    Question 3

    A train with 90 kmph crosses a bridge in 36 s. Another train 100 m shorter crosses the same bridge at 45 kmph. The time taken by the second train to cross the bridge will be

    Show Answer Explanation

    Question 4

    When Geeta increases her speed from 12 km/hr to 20 km/hr, she takes one hour less than the usual time to cover the distance between her home and office. The distance between her home and office is________km.

    Show Answer Explanation

    Question 5

    A train left point A at 12 noon. Two hours later, another train started from point A in the same direction. It overtook the first train at 8 PM. It is known that the sum of the speeds of the two trains is 140 km/hr. Then, at what time would the second train overtake the first train, if instead the second train had started from point A in the same direction 5 hours after the first train? Assume that both the trains travel at constant speeds.


    Question 6

    The sum of the first 15 terms in an arithmetic progression is 200, while the sum of the next 15 terms is 350, then the common difference is

    Show Answer Explanation

    Question 7

    Let $$S_{n}$$ be sum of the first n terms of an A.P. If $$S_{5} = S_{9}$$, what is the ratio of $$a_3:a_5$$

    Show Answer Explanation

    Question 8

    It is given that the sequence $${x_{n}}$$ satisfies $$x_{1} = 0, x_{n+1} = x_{n} + 1 + 2\sqrt{1+ x_{n}}$$ for 𝑛 = 1, 2, ..... Then $$x_{31}$$ is ______________.

    Show Answer Explanation

    Question 9

    The sum of the first 5 terms of a geometric progression is the same as the sum of the first 7 terms of the same progression. If the sum of the first 9 terms is 24, then the 4th term of the progression is

    Show Answer Explanation

    Question 10

    If $$\frac{1}{1^{2}} + \frac{1}{2^{2}} + \frac{1}{3^{2}} + $$...... upto $$ \infty = \frac{\pi^{2}}{6}$$, then value of $$\frac{1}{1^{2}} + \frac{1}{3^{2}} + \frac{1}{5^{2}} + $$...... upto $$\infty$$ is

    Show Answer Explanation

    Question 11

    The number of terms common to both the arithmetic progressions 2,5,8,11,...., 179 and 3,5,7,9,....., 101 is

    Show Answer Explanation

    Question 12

    Let $$S_1 = \left\{100, 105, 110, 115, ...\right\}$$ and $$S_2 = \left\{100, 95, 90, 85, ...\right\}$$ be two series in arithmetic progression. If $$a_k$$ and $$b_k$$ are the $$k^{th}$$ terms of
    $$S_1$$ and $$S_2$$, respectively, then $$\sum_{k=1}^{20}a_k b_k$$ equals ____________.

    Show Answer Explanation

    Question 13

    Which of the following trigonometric identities are true?
    $$\sin^{2} (41^{\circ}) + \sin^{2} (49^{\circ}) = 1$$
    $$\sin^{2} (60^{\circ}) - 2\tan (45^{\circ}) - \cos^{2}(30^{\circ}) = -1$$
    $$\sin^{2} (\theta) + \dfrac{1}{1 + \tan^{2} (\theta)} = 1$$

    Show Answer Explanation

    Question 14

    Two poles of height 6 m and 11 m stand vertically upright on a plane ground. If the distance between their foot is 12 m, then the distance between their tops is

    Show Answer Explanation

    Question 15

    Given below are two statements:
    Statement I: If $$sin(\theta) =\dfrac{5}{13}$$, then the value of $$tan(\theta)=\dfrac{5}{12}$$

    Statement II: If $$cot(\theta) =\dfrac{12}{5}$$, then the value of $$sin(\theta)=\dfrac{5}{12}$$

    Show Answer Explanation

    How helpful did you find this article?

    Our Success Stories
    CAT 2025
    99.97%ile
    Manhar Joshi
    Manhar Joshi scored 99.97 percentile in CAT 2025 with a perfect 100 in VARC. His journey shows how strong basics, regular mocks, and structured preparation with Cracku lead to success. show more
    CAT 2025
    99.60%ile
    Ritwik
    Ritwik scored 99.6 percentile in CAT 2025 with the help of Cracku. His journey shows how daily targets, realistic mocks, and detailed analysis can boost confidence and performance. show more
    CAT 2025
    99.09%ile
    Tejas Sharma
    Tejas Sharma jumped from 44 percentile in DILR to 99.09 percentile in CAT 2025. His journey shows how focused practice, realistic mocks, and structured prep with Cracku can transform results. show more
    CAT 2025
    99.91%ile
    Vidit Nayal
    Vidit Nayal scored 99.91 percentile in CAT 2025 with the help of Cracku mocks. His journey shows how regular mocks, smart analysis, and video solutions improve timing and confidence. show more
    CAT 2025
    99.03%ile
    Srija
    Srija From fearing CAT to scoring 99.03 percentile in her first attempt, Srija’s journey shows how clear guidance, daily consistency, and structured preparation with Cracku can change everything. show more
    CAT 2025
    99.99%ile
    Vihaan Verma
    Vihaan Verma scored an exceptional 99.99 percentile in CAT 2025. His success shows how focused sectional practice, smart strategy, and Cracku’s guidance can make a big impact even in the final month. show more
    CAT 2025
    99.97%ile
    Ojas Jain
    Ojas Jain scored 99.97 percentile in CAT 2025 with the help of Cracku’s test series. His journey highlights the value of realistic mocks, clear analysis, and expert guidance. show more
    CAT 2025
    99.71%ile
    Dr. Jayesh Bansal
    Dr. Jayesh Bansal scored 99.71 percentile in CAT 2025 by refining his strategy in the final phase. His journey shows how Cracku’s mocks, analysis, and expert insights boost confidence. show more
    CAT 2025
    100%ile
    Bhaskar
    Bhaskar moved from a 97.3 percentile in his first attempt to 100 percentile in CAT 2025 by refining his strategy, focusing on section-wise preparation, and deeply analysing mock test performance. show more
    CAT 2025
    99.99%ile
    Adhiraj
    Adhiraj achieved an incredible 99.99 percentile in CAT 2025 with focused preparation, strategic planning, and smart practice. His journey shows how consistency, discipline, and the right study approa… show more

    Related Blogs

    Frequently Asked Questions

    Over 8000+ registered students have benefitted from Cracku's IPMAT Course

    Crack IPMAT 2026 with Cracku

    Free IPMAT Mock Tests Free IPMAT Course