Top 50 IIMB UG 2025 Quant Questions PDF with Video Solutions

Rakesh

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Dec 10, 2025

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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.

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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

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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

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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.

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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

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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 $$a_3:a_5$$

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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 ______________.

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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

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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

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Question 11

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

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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 ____________.

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Question 13

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

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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

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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 $$sin(\theta)=\dfrac{5}{12}$$

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