Login
Register
Dark Mode
Brightness
Profile
Edit Profile
Messages
My favorites
My Updates
Logout
Filter
No answer
No selected answer
No upvoted answer
Previous GATE
Featured
Questions without answers in Exam Queries
0
votes
0
answers
1
Graph Theory
A vertex colouring with three colours of a graph G = (V, E) is a mapping V → {R, G, B }. So that any two adjacent vertices does not same colour. Consider the below graphs:
A vertex colouring with three colours of a graph G = (V, E) is a mapping V → {R, G, B }. So that any two adjacent vertices does not same colour. Consider the below grap...
alexa16
70
views
alexa16
asked
Apr 11
0
votes
0
answers
2
Eligibility Criteria M.Sc
I have done M.Sc in mathematics and computing with 6.1 cgpa am I eligible for Mtech cse
I have done M.Sc in mathematics and computing with 6.1 cgpa am I eligible for Mtech cse
rahul_2048
53
views
rahul_2048
asked
Mar 18
GATE
eligibility
mtech
query
+
–
1
votes
0
answers
3
I have purchased the test series for PGEE exam but i am not getting the mock test mail for the 2nd mock which was scheduled on 10th march!! Please help
Saransh15
241
views
Saransh15
asked
Mar 13
IIITH-PGEE
query
+
–
4
votes
0
answers
4
IIIT Delhi Coding questions
Can somebody please tell what kind of coding question should I prepare for IIIT Delhi PGCAT Coding round? Also please share memory based questions for PGCAT Technical exam.
Can somebody please tell what kind of coding question should I prepare for IIIT Delhi PGCAT Coding round? Also please share memory based questions for PGCAT Technical exa...
Starprince07
365
views
Starprince07
asked
Mar 5
Others
iiit
admissions
+
–
0
votes
0
answers
5
In which order should i study subjects for GATE CSE ?
I'm currently doing Engineering Mathematics, will probably finish it by next week. But i wanted to know which subjects should i prepare next and if there's a particular order to follow for better understanding.
I'm currently doing Engineering Mathematics, will probably finish it by next week. But i wanted to know which subjects should i prepare next and if there's a particular o...
Apex7D0
68
views
Apex7D0
asked
Feb 23
0
votes
0
answers
6
Marking Scheme
I have answered a question as .55 and the official key is 0.54-0.56, will I get the marks as I have not typed 0 before the decimal point? Also in another question, the range is 0.8-0.84 and I was asked to answer it in 2 decimal places i did it in 3 as 0.817, will I get marks for this one too?? please answer.
I have answered a question as .55 and the official key is 0.54-0.56, will I get the marks as I have not typed 0 before the decimal point?Also in another question, the ran...
doubtmaster86
103
views
doubtmaster86
asked
Feb 20
GATE
query
+
–
0
votes
0
answers
7
GATE 2024
Does the GO Rank predictor automatically knows which SET my paper belongs to since there are no choice to choose SET number?
Does the GO Rank predictor automatically knows which SET my paper belongs to since there are no choice to choose SET number?
hmg87829
388
views
hmg87829
asked
Feb 18
0
votes
0
answers
8
When will the Gate Overflow answer key get released along with mark distribution?
hacker24
92
views
hacker24
asked
Feb 17
GATE
query
+
–
0
votes
0
answers
9
Where can i find iiit hyderabad pgee mock tests??
Umesh Chandra
180
views
Umesh Chandra
asked
Feb 17
GATE
query
+
–
0
votes
0
answers
10
TIFR Mathematics 2024 | Part A | Question: 1
What is the number of even positive integers $n$ such that every group of order $n$ is abelian? $1$ $2$ Greater than $2$, but finite Infinite
What is the number of even positive integers $n$ such that every group of order $n$ is abelian?$1$$2$Greater than $2$, but finiteInfinite
admin
170
views
admin
asked
Jan 19
Others
tifrmaths2024
+
–
0
votes
0
answers
11
TIFR Mathematics 2024 | Part A | Question: 2
Let $n$ be a positive integer, and let \[ S=\{g \in \mathbb{R}[x] \mid g \text { is a polynomial of degree at most } n\}. \] For $g \in S$, let $A_{g}=\left\{x \in \mathbb{R} \mid e^{x}=g(x)\right\} \subset \mathbb{R}$. Let \[ m=\min \left\{\# A_{g} \mid ... \left\{\# A_{g} \mid g \in S\right\} . \] Then $m=0, M=n$ $m=0, M=n+1$ $m=1, M=n$ $m=1, M=n+1$
Let $n$ be a positive integer, and let\[S=\{g \in \mathbb{R}[x] \mid g \text { is a polynomial of degree at most } n\}.\]For $g \in S$, let $A_{g}=\left\{x \in \mathbb{R}...
admin
78
views
admin
asked
Jan 19
Others
tifrmaths2024
+
–
0
votes
0
answers
12
TIFR Mathematics 2024 | Part A | Question: 3
Let $V, W$ be nonzero finite dimensional vector spaces over $\mathbb{C}$. Let $m$ be the dimension of the space of $\mathbb{C}$-linear transformations $V \rightarrow W$, viewed as a real vector space. Let $n$ ... transformations $V \rightarrow W$, viewed as a real vector space. Then $n=m$ $2 n=m$ $n=2 m$ $4 n=m$
Let $V, W$ be nonzero finite dimensional vector spaces over $\mathbb{C}$. Let $m$ be the dimension of the space of $\mathbb{C}$-linear transformations $V \rightarrow W$, ...
admin
73
views
admin
asked
Jan 19
Others
tifrmaths2024
+
–
0
votes
0
answers
13
TIFR Mathematics 2024 | Part A | Question: 4
Consider the real vector space of infinite sequences of real numbers \[ S=\left\{\left(a_{0}, a_{1}, a_{2}, \ldots\right) \mid a_{k} \in \mathbb{R}, k=0,1,2, \ldots\right\} . \] Let $W$ be the subspace of $S$ ... 2}=2 a_{k+1}+a_{k}, \quad k=0,1,2, \ldots \] What is the dimension of $W$ ? $1$ $2$ $3$ $\infty$
Consider the real vector space of infinite sequences of real numbers\[S=\left\{\left(a_{0}, a_{1}, a_{2}, \ldots\right) \mid a_{k} \in \mathbb{R}, k=0,1,2, \ldots\right\}...
admin
72
views
admin
asked
Jan 19
Others
tifrmaths2024
+
–
0
votes
0
answers
14
TIFR Mathematics 2024 | Part A | Question: 5
Let $f:[0, \infty) \rightarrow \mathbb{R}$ be a continuous function. If \[ \lim _{n \rightarrow \infty} \int_{0}^{1} f(x+n) d x=2, \] then which of the following statements about the limit \[ \lim _{n \rightarrow \infty} ... equals $0$ The limit exists and equals $\frac{1}{2}$ The limit exists and equals $2$ None of the remaining three options is correct
Let $f:[0, \infty) \rightarrow \mathbb{R}$ be a continuous function. If\[\lim _{n \rightarrow \infty} \int_{0}^{1} f(x+n) d x=2,\]then which of the following statements a...
admin
51
views
admin
asked
Jan 19
Others
tifrmaths2024
+
–
0
votes
0
answers
15
TIFR Mathematics 2024 | Part A | Question: 6
Let $f: \mathbb{R} \rightarrow[0, \infty)$ be a function such that for any finite set $E \subset \mathbb{R}$ we have \[ \sum_{x \in E} f(x) \leq 1 . \] Let \[ C_{f}=\{x \in \mathbb{R} \mid f(x)>0\} \subset \mathbb{R} . \] Then $C_{f}$ is finite $C_{f}$ is a bounded subset of $\mathbb{R}$ $C_{f}$ has at most one limit point $C_{f}$ is a countable set
Let $f: \mathbb{R} \rightarrow[0, \infty)$ be a function such that for any finite set $E \subset \mathbb{R}$ we have\[\sum_{x \in E} f(x) \leq 1 .\]Let\[C_{f}=\{x \in \ma...
admin
58
views
admin
asked
Jan 19
Others
tifrmaths2024
+
–
0
votes
0
answers
16
TIFR Mathematics 2024 | Part A | Question: 7
Let $p$ be a prime. Which of the following statements is true? There exists a noncommutative ring with exactly $p$ elements There exists a noncommutative ring with exactly $p^{2}$ elements There exists a noncommutative ring with exactly $p^{3}$ elements None of the remaining three statements is correct
Let $p$ be a prime. Which of the following statements is true?There exists a noncommutative ring with exactly $p$ elementsThere exists a noncommutative ring with exactly ...
admin
60
views
admin
asked
Jan 19
Others
tifrmaths2024
+
–
0
votes
0
answers
17
TIFR Mathematics 2024 | Part A | Question: 8
Consider the sequence $\left\{a_{n}\right\}$ for $n \geq 1$ ... $\lim _{n \rightarrow \infty} n^{2} a_{n}$ exists and equals 1
Consider the sequence $\left\{a_{n}\right\}$ for $n \geq 1$ defined by\[a_{n}=\lim _{N \rightarrow \infty} \sum_{k=n}^{N} \frac{1}{k^{2}} .\]Which of the following statem...
admin
66
views
admin
asked
Jan 19
Others
tifrmaths2024
+
–
0
votes
0
answers
18
TIFR Mathematics 2024 | Part A | Question: 9
Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a differentiable function that is a solution to the ordinary differential equation \[ f^{\prime}(t)=\sin ^{2}(f(t))(\forall t \in \mathbb{R}), \quad f(0)=1 . \] ... is neither bounded nor periodic $f$ is bounded and periodic $f$ is bounded, but not periodic None of the remaining three statements is correct
Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a differentiable function that is a solution to the ordinary differential equation\[f^{\prime}(t)=\sin ^{2}(f(t))(\forall t ...
admin
69
views
admin
asked
Jan 19
Others
tifrmaths2024
+
–
0
votes
0
answers
19
TIFR Mathematics 2024 | Part A | Question: 10
Let $B$ denote the set of invertible upper triangular $2 \times 2$ matrices with entries in $\mathbb{C}$, viewed as a group under matrix multiplication. Which of the following subgroups of $B$ is the normalizer of itself in $\text{B}$ ...
Let $B$ denote the set of invertible upper triangular $2 \times 2$ matrices with entries in $\mathbb{C}$, viewed as a group under matrix multiplication. Which of the foll...
admin
71
views
admin
asked
Jan 19
Others
tifrmaths2024
+
–
0
votes
0
answers
20
TIFR Mathematics 2024 | Part A | Question: 11
What is the least positive integer $n>1$ such that $x^{n}$ and $x$ are conjugate, for every $x \in S_{11}$? Here, $S_{11}$ denotes the symmetric group on $11$ letters. $10$ $11$ $12$ $13$
What is the least positive integer $n>1$ such that $x^{n}$ and $x$ are conjugate, for every $x \in S_{11}$? Here, $S_{11}$ denotes the symmetric group on $11$ letters.$10...
admin
69
views
admin
asked
Jan 19
Others
tifrmaths2024
+
–
0
votes
0
answers
21
TIFR Mathematics 2024 | Part A | Question: 12
Consider the following statements: $\text{(A)}$ Let $G$ be a group and let $H \subset G$ be a subgroup of index 2 . Then $[G, G] \subseteq H$. $\text{(B)}$ Let $G$ be a group and let $H \subset G$ be a subgroup that contains the commutator subgroup ... false $\text{(A)}$ is true and $\text{(B)}$ is false $\text{(A)}$ is false and $\text{(B)}$ is true
Consider the following statements:$\text{(A)}$ Let $G$ be a group and let $H \subset G$ be a subgroup of index 2 . Then $[G, G] \subseteq H$.$\text{(B)}$ Let $G$ be a gro...
admin
78
views
admin
asked
Jan 19
Others
tifrmaths2024
+
–
0
votes
0
answers
22
TIFR Mathematics 2024 | Part A | Question: 13
For any symmetric real matrix $A$, let $\lambda(A)$ denote the largest eigenvalue of $A$. Let $S$ be the set of positive definite symmetric $3 \times 3$ real matrices. Which of the following assertions is correct? There exist $A, B \in S$ ... $\lambda(A+B)=\max (\lambda(A), \lambda(B))$ None of the remaining three assertions is correct
For any symmetric real matrix $A$, let $\lambda(A)$ denote the largest eigenvalue of $A$. Let $S$ be the set of positive definite symmetric $3 \times 3$ real matrices. Wh...
admin
72
views
admin
asked
Jan 19
Others
tifrmaths2024
+
–
0
votes
0
answers
23
TIFR Mathematics 2024 | Part A | Question: 14
Let $\theta \in(0, \pi / 2)$. Let $T: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2}$ be the linear map which sends a vector $v$ to its reflection with respect to the line through $(0,0)$ and $(\cos \theta, \sin \theta)$. Then the ... $\left(\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right)$
Let $\theta \in(0, \pi / 2)$. Let $T: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2}$ be the linear map which sends a vector $v$ to its reflection with respect to the line thr...
admin
63
views
admin
asked
Jan 19
Others
tifrmaths2024
+
–
0
votes
0
answers
24
TIFR Mathematics 2024 | Part A | Question: 15
For a polynomial $f(x, y) \in \mathbb{R}[x, y]$, let $X_{f}=\left\{(a, b) \in \mathbb{R}^{2} \mid f(a, b)=1\right\} \subset \mathbb{R}^{2}$. Which of the following statements is correct? If $f(x, y)=x^{2}+4 x y+3 y^{2}$, ... then $X_{f}$ is compact If $f(x, y)=x^{2}-4 x y-y^{2}$, then $X_{f}$ is compact None of the remaining three statements is correct
For a polynomial $f(x, y) \in \mathbb{R}[x, y]$, let $X_{f}=\left\{(a, b) \in \mathbb{R}^{2} \mid f(a, b)=1\right\} \subset \mathbb{R}^{2}$. Which of the following statem...
admin
64
views
admin
asked
Jan 19
Others
tifrmaths2024
+
–
0
votes
0
answers
25
TIFR Mathematics 2024 | Part A | Question: 16
What is the number of distinct subfields of $\mathbb{C}$ isomorphic to $\mathbb{Q}[\sqrt[3]{2}]$? $1$ $2$ $3$ Infinite
What is the number of distinct subfields of $\mathbb{C}$ isomorphic to $\mathbb{Q}[\sqrt[3]{2}]$?$1$$2$$3$Infinite
admin
71
views
admin
asked
Jan 19
Others
tifrmaths2024
+
–
0
votes
0
answers
26
TIFR Mathematics 2024 | Part A | Question: 17
Let $\mathbb{F}_{3}$ denote the finite field with 3 elements. What is the number of one dimensional vector subspaces of the vector space $\mathbb{F}_{3}^{5}$ over $\mathbb{F}_{3}$? $5$ $121$ $81$ None of the remaining three options
Let $\mathbb{F}_{3}$ denote the finite field with 3 elements. What is the number of one dimensional vector subspaces of the vector space $\mathbb{F}_{3}^{5}$ over $\mathb...
admin
84
views
admin
asked
Jan 19
Others
tifrmaths2024
+
–
0
votes
0
answers
27
TIFR Mathematics 2024 | Part A | Question: 18
For a positive integer $n$, let $a_{n}, b_{n}, c_{n}, d_{n}$ be the real numbers such that \[ \left(\begin{array}{ll} 1 & 1 \\ 1 & 0 \end{array}\right)^{n}=\left(\begin{array}{ll} a_{n} & b_{n} \\ c_{n} & ... the following numbers equals $\lim _{n \rightarrow \infty} a_{n} / b_{n}$ ? $1$ $e$ $3 / 2$ None of the remaining three options
For a positive integer $n$, let $a_{n}, b_{n}, c_{n}, d_{n}$ be the real numbers such that\[\left(\begin{array}{ll}1 & 1 \\1 & 0\end{array}\right)^{n}=\left(\begin{array}...
admin
70
views
admin
asked
Jan 19
Others
tifrmaths2024
+
–
0
votes
0
answers
28
TIFR Mathematics 2024 | Part A | Question: 19
Consider the complex vector space $V=\{f \in \mathbb{C}[x] \mid f$ has degree at most 50 , and $f(i x)=-f(x)$ for all $x \in \mathbb{C}\}$. Then the dimension of $V$ equals $50$ $25$ $13$ $47$
Consider the complex vector space$V=\{f \in \mathbb{C}[x] \mid f$ has degree at most 50 , and $f(i x)=-f(x)$ for all $x \in \mathbb{C}\}$.Then the dimension of $V$ equals...
admin
98
views
admin
asked
Jan 19
Others
tifrmaths2024
+
–
0
votes
0
answers
29
TIFR Mathematics 2024 | Part A | Question: 20
Let $S$ denote the set of sequences $a=\left(a_{1}, a_{2}, \ldots\right)$ of real numbers such that $a_{k}$ equals 0 or 1 for each $k$. Then the function $f: S \rightarrow \mathbb{R}$ defined by \[ f\left(\ ... }}{10}+\frac{a_{2}}{10^{2}}+\ldots \] is injective but not surjective surjective but not injective bijective neither injective nor surjective
Let $S$ denote the set of sequences $a=\left(a_{1}, a_{2}, \ldots\right)$ of real numbers such that $a_{k}$ equals 0 or 1 for each $k$. Then the function $f: S \rightarro...
admin
127
views
admin
asked
Jan 19
Others
tifrmaths2024
+
–
0
votes
0
answers
30
HEY ,Bad Request Your browser sent a request that this server could not understand. Size of a request header field exceeds server limit. Apache/2.4.41 (Ubuntu) Server at aptitude.gateoverflow.in Port 443
mih7r
108
views
mih7r
asked
Jan 15
To see more, click for the
full list of questions
or
popular tags
.
Email or Username
Show
Hide
Password
I forgot my password
Remember
Log in
Register
