ISI Bangalore Interview Questions

Will you please provide the interview questions asks in Indian Statistical Institute, Bangalore for B.Stat admission ?

[Quick Sam]

Here I am providing the list of few questions interview questions asks in Indian Statistical Institute, Bangalore for B.Stat admission which you are looking for .

You are given two parabolas such that their directrices coincide. Assume them being on the same side of the directrix; the parabolas intersect at some point. Now suppose that the common directrix is moved away from the parabolas keeping their foci fixed. As a result, the parabolas are supposed to grow in size. Find the locus of the point of intersection of the parabolas.

Hint: Try using the definition of a parabola. Note that the intersection point always remains at an equal distance from the foci.
[Ans: perpendicular bisector of the line joining their foci]

Is (30!)/ (10! * 10! * 10!) Necessarily an integer?
[Ans: Yes, it can be thought as a coefficient of something or as a permutation of something. Think about it.]

Is the function cos(x) + cos (√2x) periodic?
[Ans: No. Does the function repeat its value at f(0).]

Consider the function f(A,B) = A’.B. Can we realize all logic gate operations using this function? You have logic 0 and logic 1 present with you.
[Ans: Yes. Try generating OR, AND, NOT]

Given a binary tree, how do you determine if it is height balanced?

Given a chessboard, find the number of rectangles you can make.
[Ans: 9C2 * 9C2]

There were questions asked from properties of definite integrals and nature of roots of an n-degree polynomial.