Recent questions tagged tifr2012

18 votes
3 answers
7
Consider the quick sort algorithm on a set of $n$ numbers, where in every recursive subroutine of the algorithm, the algorithm chooses the median of that set as the pivot...
22 votes
2 answers
9
Let $A$ be a matrix such that $A^{k}=0$. What is the inverse of $I - A$?$0$$I$$A$$1 + A + A^{2} + ...+ A^{k - 1}$Inverse is not guaranteed to exist.
26 votes
5 answers
18
4 votes
2 answers
25
Walking at $4/5$ is normal speed a man is $10$ minute too late. Find his usual time in minutes.$81$$64$$52$$40$It is not possible to determine the usual time from given d...
8 votes
2 answers
26
Consider the differential equation $dx/dt= \left(1 - x\right)\left(2 - x\right)\left(3 - x\right)$. Which of its equilibria is unstable?$x=0$$x=1$$x=2$$x=3$None of the ab...
7 votes
3 answers
27
The limit $\displaystyle \lim_{n \rightarrow \infty} \left(\sqrt{n^{2}+n}-n\right)$ equals.$\infty$$1$$1 / 2$$0$None of the above