Highest voted questions in TIFR

6 votes
0 answers
1
What was the cutoff of tifr 2017?
2 votes
1 answer
2
How many distinct ways are there to split 50 identical coins among three people so that each person gets atleast 5 coins??
1 votes
1 answer
4
True/False Question:$f : \left [ 0,\infty \right ]\rightarrow \left [ 0,\infty \right ]$ is continuous and bounded then $f$ has a fixed point.
1 votes
1 answer
5
True/False Question:The matrix $\begin{pmatrix} 1 & \pi &3 \\ 0& 2&4 \\ 0&0 &3 \end{pmatrix}$ is diagonalisable.
1 votes
1 answer
6
1 votes
0 answers
7
True/False Question:The rank of the matrix$$\begin{bmatrix} 11 &12 &13 &14 \\ 21& 22 &23 & 24\\ 31& 32 &33 &34 \\ 41&42 & 43 & 44 \end{bmatrix}$$is $2$.
1 votes
1 answer
8
True/False Question:If $H_{1}$ & $H_{2}$ are subgroups of a group $G$ then $H_{1} .H_{2}=\left \{ h_{1} h_{2}\in G \mid h_{1}\in H_{1},h_{2}\in H_{2}\right \}$ is a subg...
1 votes
0 answers
9
1 votes
0 answers
11
Let $S$ be a collection of subset of $\left \{ 1,2,\dots,100 \right \}$ such that the intersection of any two sets in $S$ is non-empty. What is the maximum possible cardi...
1 votes
0 answers
13
True/False Question :There exists a continuous function $f:\mathbb{R}\rightarrow \mathbb{R}$ such that $f\left ( \mathbb{Q} \right )\subseteq \mathbb{R}-\mathbb{Q}$ and $...
0 votes
1 answer
15
True/False Question:The polynomial $X^{8}+1$ is irreducible in $\mathbb{R}\left [ X \right ]$.
0 votes
0 answers
16
True/False Question:Given any integer $n\geq 2$, we can always finds an integer $m$ such that each of the $n-1$ consecutive integers $m+2,m+3,\dots,m+n$ are composite.
0 votes
0 answers
17
True/False Question:The $10 \times 10 $ matrix $\begin{pmatrix} v_{1}w_{1} & \cdots&v_{1}w_{10} \\ v_{2}w_{2}& \cdots & v_{2}w_{10}\\ v_{10}w_{1}&\cdots & v_{10}w_{10} \e...
0 votes
0 answers
18
True/False Question:If every continuous function on $X\subset \mathbb{R}^{2}$ is bounded, then $X$ is compact.
0 votes
0 answers
19
True/False Question:The graph of $xy=1$ is $\mathbb{C}^{2}$ is connected.
0 votes
1 answer
20
True/False Question:If $z_{1},z_{2},z_{3},z_{4}\in \mathbb{C}$ satisfy $z_{1}+z_{2}+z_{3}+z_{4}=0$ and $\left | z_{1} \right |^{2}+\left | z_{2} \right |^{2}+\left | z...