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Highest voted questions in TIFR
6
votes
0
answers
1
tifr cut off
What was the cutoff of tifr 2017?
Shivani Jaiswal
asked
in
TIFR
Aug 16, 2017
by
Shivani Jaiswal
6.8k
views
usertifr
2
votes
1
answer
2
TIFR CSS GS-2017
How many distinct ways are there to split 50 identical coins among three people so that each person gets atleast 5 coins??
Nidhi Goyal
asked
in
TIFR
Dec 13, 2016
by
Nidhi Goyal
928
views
2
votes
1
answer
3
TIFR 2017 - How to prepare for TIFR and what are the future placement opportunities?
Dear Fellow Mates, I will be sitting for GATE and TIFR both this year. I don't have much clue about TIFR but I have looked up about it on their site and know the rules, syllabus for the exams. I ... for practice which I will have for GATE and hence would like to ask for your expert advice. Regards, Rahul.
RahulVerma
asked
in
TIFR
Sep 13, 2016
by
RahulVerma
6.7k
views
tifr
general
admissions
preparation
1
vote
1
answer
4
TIFR-2012-Maths-D: 31
True/False Question: $f : \left [ 0,\infty \right ]\rightarrow \left [ 0,\infty \right ]$ is continuous and bounded then $f$ has a fixed point.
soujanyareddy13
asked
in
TIFR
Aug 30, 2020
by
soujanyareddy13
717
views
tifrmaths2012
1
vote
1
answer
5
TIFR-2012-Maths-D: 33
True/False Question: The matrix $\begin{pmatrix} 1 & \pi &3 \\ 0& 2&4 \\ 0&0 &3 \end{pmatrix}$ is diagonalisable.
soujanyareddy13
asked
in
TIFR
Aug 30, 2020
by
soujanyareddy13
378
views
tifrmaths2012
1
vote
1
answer
6
TIFR-2012-Maths-D: 34
True/False Question: If a rectangle $R:=\left \{ \left ( x,y \right ) \in \mathbb{R}^{2}\mid A\leq x\leq B,C\leq y\leq D\right \}$ can be covered (allowing overlaps ) by $25$ discs of radius $1$ then it can also be covered by $101$ dics of radius $\frac{1}{2}.$
soujanyareddy13
asked
in
TIFR
Aug 30, 2020
by
soujanyareddy13
447
views
tifrmaths2012
1
vote
0
answers
7
TIFR-2012-Maths-B: 19
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 $2$.
soujanyareddy13
asked
in
TIFR
Aug 30, 2020
by
soujanyareddy13
453
views
tifrmaths2012
1
vote
1
answer
8
TIFR-2012-Maths-A: 1
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 subgroup of $G$.
soujanyareddy13
asked
in
TIFR
Aug 30, 2020
by
soujanyareddy13
275
views
tifrmaths2012
1
vote
0
answers
9
TIFR-2016-Maths-B: 27
For $n\geq 1$, let $S_{n}$ denote the group of all permutations on $n$ symbols. Which of the following statements is true? $S_{3}$ has an element of order $4$ $S_{4}$ has an element of order $6$ $S_{4}$ has an element of order $5$ $S_{5}$ has an element of order $6$.
soujanyareddy13
asked
in
TIFR
Aug 30, 2020
by
soujanyareddy13
133
views
tifrmaths2016
1
vote
0
answers
10
TIFR-2016-Maths-B: 30
For $X\subset \mathbb{R}^{n}$, consider $X$ as a metric space with metric induced by the usual Euclidean metric on $\mathbb{R}^{n}$. Which of the following metric spaces $X$ is complete? $X=\mathbb{Z}\times \mathbb{Z}\subset \mathbb{R}\times \mathbb{R}$ ... $X=\left [ -\pi,\pi \right ]\cap \left ( \mathbb{R}\setminus \mathbb{Q} \right ) \subset \mathbb{R}$.
soujanyareddy13
asked
in
TIFR
Aug 30, 2020
by
soujanyareddy13
140
views
tifrmaths2016
1
vote
0
answers
11
TIFR-2016-Maths-A: 16
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 cardinality $\left | S \right |$ of $S$ ? $100$ $2^{100}$ $2^{99}$ $2^{98}$
soujanyareddy13
asked
in
TIFR
Aug 30, 2020
by
soujanyareddy13
249
views
tifrmaths2016
1
vote
0
answers
12
TIFR-2018-Maths-B: 6
Denote by the set all $n \times n$ complex matrices $A$ ($n\geq 2$ a natural number) having the property that $4$ is the only eigenvalue of $A$. Consider the following four statements. $\left ( A-4I \right )^{n}=0,$ $A^{n}=4^{n}I,$ $\left ( A^{2}-5A+4I \right )^{n}=0,$ $A^{n}=4nI.$ How many of the above statements are true for all $A \in$ ? $0$ $1$ $2$ $3$
soujanyareddy13
asked
in
TIFR
Aug 30, 2020
by
soujanyareddy13
254
views
tifrmaths2018
1
vote
0
answers
13
TIFR-2019-Maths-B: 1
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 $f\left ( \mathbb{R-Q} \right )\subseteq \mathbb{Q}.$
soujanyareddy13
asked
in
TIFR
Aug 29, 2020
by
soujanyareddy13
167
views
tifrmaths2019
true-false
1
vote
0
answers
14
TIFR-2020-Maths-A: 14
Let $V$ be a finite dimensional vector space over $\mathbb{R}$ , and $W\subset V$ a subspace. Then $W\cap T\left ( W \right )\neq \left \{ 0 \right \}$ for every linear automorphism $T:V\rightarrow V$ if and only if: $W=V$. $dim W< \frac{1}{2}dimV$. $dim W= \frac{1}{2}dimV$. $dim W> \frac{1}{2}dimV$.
soujanyareddy13
asked
in
TIFR
Aug 28, 2020
by
soujanyareddy13
135
views
tifrmaths2020
0
votes
1
answer
15
TIFR-2012-Maths-D: 32
True/False Question: The polynomial $X^{8}+1$ is irreducible in $\mathbb{R}\left [ X \right ]$.
soujanyareddy13
asked
in
TIFR
Aug 30, 2020
by
soujanyareddy13
296
views
tifrmaths2012
0
votes
0
answers
16
TIFR-2012-Maths-D: 35
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.
soujanyareddy13
asked
in
TIFR
Aug 30, 2020
by
soujanyareddy13
215
views
tifrmaths2012
0
votes
0
answers
17
TIFR-2012-Maths-D: 36
True/False Question: The $10 \times 10 $ matrix $\begin{pmatrix} v_{1}w_{1} & \cdots&v_{1}w_{10} \\ v_{2}w_{2}& \cdots & v_{2}w_{10}\\ v_{10}w_{1}&\cdots & v_{10}w_{10} \end{pmatrix}$has rank $2$, where $v_{i},w_{i}\in \mathbb{C}.$
soujanyareddy13
asked
in
TIFR
Aug 30, 2020
by
soujanyareddy13
226
views
tifrmaths2012
0
votes
0
answers
18
TIFR-2012-Maths-D: 37
True/False Question: If every continuous function on $X\subset \mathbb{R}^{2}$ is bounded, then $X$ is compact.
soujanyareddy13
asked
in
TIFR
Aug 30, 2020
by
soujanyareddy13
168
views
tifrmaths2012
0
votes
0
answers
19
TIFR-2012-Maths-D: 38
True/False Question: The graph of $xy=1$ is $\mathbb{C}^{2}$ is connected.
soujanyareddy13
asked
in
TIFR
Aug 30, 2020
by
soujanyareddy13
176
views
tifrmaths2012
0
votes
1
answer
20
TIFR-2012-Maths-D: 39
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 $\left | z_{1} \right |^{2}+\left | z_{2} \right |^{2}+\left | z_{3} \right |^{2}+\left | z_{4} \right |^{2}=1$ ... $2$.
soujanyareddy13
asked
in
TIFR
Aug 30, 2020
by
soujanyareddy13
379
views
tifrmaths2012
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