Login
Register
@
Dark Mode
Profile
Edit my Profile
Messages
My favorites
Register
Activity
Q&A
Questions
Unanswered
Tags
Subjects
Users
Ask
Previous Years
Blogs
New Blog
Exams
Dark Mode
Filter
No answer
No selected answer
No upvoted answer
Previous GATE
Featured
Questions without an upvoted answer in Others
1
vote
0
answers
1
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.
Starprince07
asked
in
Others
Mar 5
by
Starprince07
163
views
iiit
admissions
0
votes
0
answers
2
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
admin
asked
in
Others
Jan 19
by
admin
143
views
tifrmaths2024
0
votes
0
answers
3
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 $m=0, M=n$ $m=0, M=n+1$ $m=1, M=n$ $m=1, M=n+1$
admin
asked
in
Others
Jan 19
by
admin
67
views
tifrmaths2024
0
votes
0
answers
4
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 $n=m$ $2 n=m$ $n=2 m$ $4 n=m$
admin
asked
in
Others
Jan 19
by
admin
67
views
tifrmaths2024
0
votes
0
answers
5
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 $W$ ? $1$ $2$ $3$ $\infty$
admin
asked
in
Others
Jan 19
by
admin
72
views
tifrmaths2024
0
votes
0
answers
6
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
admin
asked
in
Others
Jan 19
by
admin
52
views
tifrmaths2024
0
votes
0
answers
7
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
admin
asked
in
Others
Jan 19
by
admin
52
views
tifrmaths2024
0
votes
0
answers
8
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
admin
asked
in
Others
Jan 19
by
admin
62
views
tifrmaths2024
0
votes
0
answers
9
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
admin
asked
in
Others
Jan 19
by
admin
60
views
tifrmaths2024
0
votes
0
answers
10
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
admin
asked
in
Others
Jan 19
by
admin
60
views
tifrmaths2024
0
votes
0
answers
11
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 $\text{B}$ ...
admin
asked
in
Others
Jan 19
by
admin
66
views
tifrmaths2024
0
votes
0
answers
12
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. $10$ $11$ $12$ $13$
admin
asked
in
Others
Jan 19
by
admin
62
views
tifrmaths2024
0
votes
0
answers
13
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
admin
asked
in
Others
Jan 19
by
admin
69
views
tifrmaths2024
0
votes
0
answers
14
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
admin
asked
in
Others
Jan 19
by
admin
71
views
tifrmaths2024
0
votes
0
answers
15
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 ... $\left(\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right)$
admin
asked
in
Others
Jan 19
by
admin
62
views
tifrmaths2024
0
votes
0
answers
16
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
admin
asked
in
Others
Jan 19
by
admin
68
views
tifrmaths2024
0
votes
0
answers
17
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
admin
asked
in
Others
Jan 19
by
admin
68
views
tifrmaths2024
0
votes
0
answers
18
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
admin
asked
in
Others
Jan 19
by
admin
74
views
tifrmaths2024
0
votes
0
answers
19
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
admin
asked
in
Others
Jan 19
by
admin
72
views
tifrmaths2024
0
votes
0
answers
20
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 $50$ $25$ $13$ $47$
admin
asked
in
Others
Jan 19
by
admin
96
views
tifrmaths2024
0
votes
0
answers
21
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
admin
asked
in
Others
Jan 19
by
admin
115
views
tifrmaths2024
0
votes
1
answer
22
TIFR CSE 2024 | Part A | Question: 2
Let $\sigma$ be a uniform random permutation of $\{1, \ldots, 100\}$. What is the probability that $\sigma(1)<\sigma(2)<\sigma(3)$ ... $\frac{3}{100 !}$ $\frac{3 !}{100 !}$ $\frac{6}{100}$ $\frac{1}{6}$ $\frac{1}{3}$
admin
asked
in
Others
Jan 12
by
admin
149
views
tifr2024
0
votes
0
answers
23
TIFR CSE 2024 | Part A | Question: 3
There is a $100 \mathrm{~cm}$ long ruler that has 11 ants on positions $0 \mathrm{~cm}, 10 \mathrm{~cm}, 20 \mathrm{~cm}, 30 \mathrm{~cm}$, ..., $100 \mathrm{~cm}$. The ant at the $0 \mathrm{~cm}$ mark ... without knowing the directions of all ants. $100$ seconds. More than $100$ seconds, but cannot be determined without knowing the directions of all ants.
admin
asked
in
Others
Jan 12
by
admin
90
views
tifr2024
0
votes
1
answer
24
TIFR CSE 2024 | Part A | Question: 4
Let $z_{1}, z_{2}, z_{3}, \ldots, z_{2023}$ be a permutation of the numbers $1,2,3, \ldots, 2023$. Which of the following is true about the product $\prod_{i=1}^{2023}\left(z_{i}-i\right)$ ? Note: The parity of an ... such that swapping their values does not change the parity of the above product. None of the above statements is true.
admin
asked
in
Others
Jan 12
by
admin
107
views
tifr2024
0
votes
1
answer
25
TIFR CSE 2024 | Part A | Question: 5
Let $p(x)$ be a polynomial with real coefficients which satisfies $p(r)=p(-r)$ for every real number $r$. Let $n \geq 5$ be a positive integer. Suppose that $p(i)=i$ for all $1 \leq i \leq n$. What is the maximum possible value of the absolute value of the coefficient of ${x^{5}}$ in $p(x)$ ? $0$ $5$ $10$ $n$ $n+1$
admin
asked
in
Others
Jan 12
by
admin
116
views
tifr2024
0
votes
0
answers
26
TIFR CSE 2024 | Part A | Question: 6
For each month in the year (i.e., January, February, March,...), let us assume the probability that a person's birthday falls in that particular month is exactly $1 / 12$, and let us assume that this is independent for different persons. What is the smallest value of ... is a pair of them born in the same month is at least $1 / 2$? $3$ $4$ $5$ $6$ $7$
admin
asked
in
Others
Jan 12
by
admin
75
views
tifr2024
0
votes
0
answers
27
TIFR CSE 2024 | Part A | Question: 7
Let $S:=\{(a, b) \mid 0 \leq a \leq 1,0 \leq b \leq 1\}$, a unit square, in $\mathbb{R}^{2}$. Let $B:=$ $\left\{(x, y) \mid x^{2}+y^{2} \leq 1\right\}$, a unit disk, in $\mathbb{R}^{2}$. Define the set $S+B$ as follows: \[ S+B:=\{(u, v) \ ... \text { such that } u=a+x, v=b+y\} . \] What is the area of $S+B$ ? $\pi+4$ $\pi+5$ $\pi+3$ $\pi+2$ None of the above.
admin
asked
in
Others
Jan 12
by
admin
76
views
tifr2024
0
votes
0
answers
28
TIFR CSE 2024 | Part A | Question: 9
Compute $\int_{16}^{\infty} \frac{1}{x} \cdot \frac{1}{\sqrt{\sqrt{x}-1}} d x$. $0$ $\frac{\pi}{3}$ $\frac{\pi}{2}$ $\frac{2 \pi}{3}$ $2 \pi$
admin
asked
in
Others
Jan 12
by
admin
74
views
tifr2024
0
votes
0
answers
29
TIFR CSE 2024 | Part A | Question: 10
Let $\text{M}$ be a $3 \times 3$ matrix over the real numbers such that $\text{M}^{\text{T}} \text{M}=\mathbf{I}$. Consider the following statements. There exists a non-zero vector $x \in \mathbb{R}^{3}$ such that $M x=\mathbf{0}$. There ... /are true? Only $\text{(i)}$ Only $\text{(ii)}$. Only $\text{(iii)}$. All three statements. None of the three statements.
admin
asked
in
Others
Jan 12
by
admin
72
views
tifr2024
0
votes
0
answers
30
TIFR CSE 2024 | Part A | Question: 11
Consider the following sequence of polynomials with real coefficients. \[ \begin{aligned} P_{0}(x) & =1 \\ P_{1}(x) & =2 x \\ P_{n+1}(x) & =2 x P_{n}(x)-P_{n-1}(x), \text { for all natural numbers } n \geq 1 . \end{aligned} \] ... }(x), P_{4}(x)\right\} \] in the vector space of polynomials in variable $x$ with real coefficients? $1$ $2$ $3$ $4$ $5$
admin
asked
in
Others
Jan 12
by
admin
84
views
tifr2024
To see more, click for the
full list of questions
or
popular tags
.
Subscribe to GATE CSE 2024 Test Series
Subscribe to GO Classes for GATE CSE 2024
Quick search syntax
tags
tag:apple
author
user:martin
title
title:apple
content
content:apple
exclude
-tag:apple
force match
+apple
views
views:100
score
score:10
answers
answers:2
is accepted
isaccepted:true
is closed
isclosed:true
Recent Posts
Post GATE 2024 Guidance [Counseling tips and resources]
GATE CSE 2024 Result Responses
[Project Contest] Pytorch backend support for MLCommons Cpp Inference implementation
Participating in MLCommons Inference v4.0 submission (deadline is February 23 12pm IST)
IIITH PGEE 2024 Test Series by GO Classes
Subjects
All categories
General Aptitude
Engineering Mathematics
Digital Logic
Programming and DS
Algorithms
Theory of Computation
Compiler Design
Operating System
Databases
CO and Architecture
Computer Networks
Artificial Intelligence
Machine Learning
Data Mining and Warehousing
Non GATE
Others
Admissions
Exam Queries
GATE
CBSE/UGC NET
CSIR NET
TIFR
CMI
ISI
ISRO
BARC
IIITH-PGEE
BITS-HD
Others
Tier 1 Placement Questions
Job Queries
Projects
Unknown Category
64.3k
questions
77.9k
answers
244k
comments
80.0k
users
Recent Blog Comments
category ?
Hi @Arjun sir, I have obtained a score of 591 in ...
download here
Can you please tell about IIT-H mtech CSE self...
Please add your admission queries here:...