# Math Questions Asked In IIM Interviews

• If you think your battle with tricky math questions is over once you ace CAT, it’s not. Many a times, IIM interview panel will ask you questions from math areas like Calculus, probability etc. This is especially true for candidates with engineering/math background and also for those who aspire for a career in finance. In this article we have collated some math questions which were asked in IIM interviews. Please go through them and also share your answers in the comments section to support collaborative learning. All the best, Happy learning!

1) Correct the logical fallacies below ( IIM A )
Case1:
a = b
a^2 = ab
a^2-b^2 = ab-b^2
(a-b)(a+b) = b(a-b)
a+b = b
b+b = b
2b = b
2 = 1

Case 2:
x^2 = x + x + x + x + x … ( x times)
differentiate both sides wrt x
= > 2x = 1 + 1 + 1 + 1 + .. (x times)
= > 2x = x
= > 1 = 2

Case 3:
1/4 = 1/4
(1/2)^2 = (-1/2)^2
taking square root both sides
1/2 = -1/2
add 3/2 both sides
2 = 1

2) Convert 3.23 to binary ( IIM A )

3) What are the maximum and minimum value of x + 1/x ( IIM L )

5) If the volume of a cylinder is fixed, derive the radius and height that will maximize the surface area ( IIM A )

6) Differentiate [x] ( IIM C )

7) Draw a function that is continuous but not differentiable ( IIM C )

8 ) draw the graph of y = |x| and y = eLogx ( IIM A )

9) Is x! continuous ?( IIM C )

10) What are the conditions for differentiability? (IIM A)

11) Where is y = mod x differentiable? ( IIM A )

12) when is pie day celebrated and when is pie approximation day celebrated ? ( IIM C )

13) Explain integration and differentiation in layman terms ( IIM C )

14) What is special about the number 1729 ? ( IIM C )

15) differentiate y = cos(sinx) (IIM A)

16) In a test there are 25 questions with 5 options for every question. Suppose a student guesses all the answers, find the probability using poisson’s that he gets 20 correct and 5 wrong ( IIM K )

17) Plot the graph of x + sinx ( IIM K )

18 ) define e and prove that 2 < e < 3. ( IIM K )

19) There are 10 different books and 3 boys, find the number of ways that each one gets atleast one. ( IIM K )

20) What is a differential equation? (IIM C)

21) What is significance of integration and what are its practical implications? (IIM C)

22) Integrate x^2 + 2 from 0-2 ( IIM C )

23) Differentiate (|x|)^3 ? (IIM C)

24) Plot the graphs for y = |x| and y = |x-1|  (IIM B )

25) Prove  (a + b)^2 = a^2 + 2ab + b^2 geometrically ( IIM C )

26) suppose I have a revolver with the two bullets(adjacent) in it, I shoot at you once but it’s a blank, now if you have a choice of asking me to revolve the wheel once before shooting or shoot immediately , what will you do? ( IIM A )

27) You wait a bus stop (for 10 minutes), and you could be found at anytime between 3:00 and 4:00 equally, the same is the case with your friend, what is the probability that you 2 would meet. ( IIM A )

28 ) what do you get when you differentiate a function? ( IIM A )

29) Explain Bayes' theorem ( IIM B )

30) What would be the value of A * B * C if AA + BB + CC = ABC. (IIM K)

31) What is a skew symmetric matrix ? ( IIM C )

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