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Highest voted questions in TIFR
6
votes
0
answers
1
tifr cut off
What was the cutoff of tifr 2017?
What was the cutoff of tifr 2017?
Shivani Jaiswal
6.7k
views
Shivani Jaiswal
asked
Aug 16, 2017
TIFR
usertifr
+
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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??
How many distinct ways are there to split 50 identical coins among three people so that each person gets atleast 5 coins??
Nidhi Goyal
919
views
Nidhi Goyal
asked
Dec 13, 2016
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.
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, sy...
RahulVerma
6.6k
views
RahulVerma
asked
Sep 13, 2016
TIFR
tifr
general
admissions
preparation
+
–
1
votes
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.
True/False Question:$f : \left [ 0,\infty \right ]\rightarrow \left [ 0,\infty \right ]$ is continuous and bounded then $f$ has a fixed point.
soujanyareddy13
704
views
soujanyareddy13
asked
Aug 30, 2020
TIFR
tifrmaths2012
+
–
1
votes
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.
True/False Question:The matrix $\begin{pmatrix} 1 & \pi &3 \\ 0& 2&4 \\ 0&0 &3 \end{pmatrix}$ is diagonalisable.
soujanyareddy13
369
views
soujanyareddy13
asked
Aug 30, 2020
TIFR
tifrmaths2012
+
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1
votes
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 $\frac{1}{2}.$
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 $...
soujanyareddy13
437
views
soujanyareddy13
asked
Aug 30, 2020
TIFR
tifrmaths2012
+
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1
votes
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 $2$.
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
449
views
soujanyareddy13
asked
Aug 30, 2020
TIFR
tifrmaths2012
+
–
1
votes
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 $G$.
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...
soujanyareddy13
266
views
soujanyareddy13
asked
Aug 30, 2020
TIFR
tifrmaths2012
+
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1
votes
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 $6$.
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 a...
soujanyareddy13
129
views
soujanyareddy13
asked
Aug 30, 2020
TIFR
tifrmaths2016
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1
votes
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? $X=\mathbb{Z}\times \mathbb{Z}\subset \mathbb{R}\times \mathbb{R}$ ... $X=\left [ -\pi,\pi \right ]\cap \left ( \mathbb{R}\setminus \mathbb{Q} \right ) \subset \mathbb{R}$.
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 ...
soujanyareddy13
135
views
soujanyareddy13
asked
Aug 30, 2020
TIFR
tifrmaths2016
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1
votes
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 $S$ ? $100$ $2^{100}$ $2^{99}$ $2^{98}$
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...
soujanyareddy13
238
views
soujanyareddy13
asked
Aug 30, 2020
TIFR
tifrmaths2016
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1
votes
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 $A \in$ ? $0$ $1$ $2$ $3$
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 fo...
soujanyareddy13
251
views
soujanyareddy13
asked
Aug 30, 2020
TIFR
tifrmaths2018
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1
votes
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 $f\left ( \mathbb{R-Q} \right )\subseteq \mathbb{Q}.$
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 $...
soujanyareddy13
161
views
soujanyareddy13
asked
Aug 29, 2020
TIFR
tifrmaths2019
true-false
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1
votes
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: $W=V$. $dim W< \frac{1}{2}dimV$. $dim W= \frac{1}{2}dimV$. $dim W> \frac{1}{2}dimV$.
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 a...
soujanyareddy13
131
views
soujanyareddy13
asked
Aug 28, 2020
TIFR
tifrmaths2020
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0
votes
1
answer
15
TIFR-2012-Maths-D: 32
True/False Question: The polynomial $X^{8}+1$ is irreducible in $\mathbb{R}\left [ X \right ]$.
True/False Question:The polynomial $X^{8}+1$ is irreducible in $\mathbb{R}\left [ X \right ]$.
soujanyareddy13
283
views
soujanyareddy13
asked
Aug 30, 2020
TIFR
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.
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
208
views
soujanyareddy13
asked
Aug 30, 2020
TIFR
tifrmaths2012
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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 $v_{i},w_{i}\in \mathbb{C}.$
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...
soujanyareddy13
221
views
soujanyareddy13
asked
Aug 30, 2020
TIFR
tifrmaths2012
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–
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.
True/False Question:If every continuous function on $X\subset \mathbb{R}^{2}$ is bounded, then $X$ is compact.
soujanyareddy13
161
views
soujanyareddy13
asked
Aug 30, 2020
TIFR
tifrmaths2012
+
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0
votes
0
answers
19
TIFR-2012-Maths-D: 38
True/False Question: The graph of $xy=1$ is $\mathbb{C}^{2}$ is connected.
True/False Question:The graph of $xy=1$ is $\mathbb{C}^{2}$ is connected.
soujanyareddy13
170
views
soujanyareddy13
asked
Aug 30, 2020
TIFR
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 $\left | z_{1} \right |^{2}+\left | z_{2} \right |^{2}+\left | z_{3} \right |^{2}+\left | z_{4} \right |^{2}=1$ ... $2$.
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...
soujanyareddy13
368
views
soujanyareddy13
asked
Aug 30, 2020
TIFR
tifrmaths2012
+
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