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
Recent
Hot!
Most votes
Most answers
Most views
Previous GATE
Featured
Highest voted questions in Others
2
votes
0
answers
81
TIFR Mathematics 2023 | Part A | Question: 9
Let $T: \mathrm{M}_{3}(\mathbb{R}) \rightarrow \mathbb{R}^{3}$ be the linear map defined by $T(A)=A\left(\begin{array}{c}1 \\ 0 \\ -1\end{array}\right)$. Then the dimension of the kernel of $T$ equals $2$. $8$. $1$. None of the remaining three options.
admin
asked
in
Others
Mar 14, 2023
by
admin
168
views
tifrmaths2023
2
votes
0
answers
82
TIFR Mathematics 2023 | Part A | Question: 11
Let $C([-1,1], \mathbb{R})$ denote the real vector space of continuous functions from $[-1,1]$ to $\mathbb{R},$ and consider the subspace \[ V=\{f \in C([-1,1], \mathbb{R}) \mid f(-x)=f(x) \text { for all } x \in[-1,1]\} \] ... $V$ does not have an orthogonal complement in $C([-1,1], \mathbb{R})$. None of the remaining three options.
admin
asked
in
Others
Mar 14, 2023
by
admin
164
views
tifrmaths2023
2
votes
0
answers
83
TIFR Mathematics 2023 | Part A | Question: 12
Consider pairs $(X, d)$, where $X$ is a set with $100$ elements, and $d: X \times X \rightarrow \mathbb{R}$ is a function such that $d(x, y)=d(y, x)>0$ if $x, y \in X$ are distinct, and $d(x, x)=0$ for all $x \in X$. For $n<100,$ ... not true. $A_{n}$ is true for all $n \leq 10$, but not for all $n \leq 25$. $A_{n}$ is true for all $n \leq 25$.
admin
asked
in
Others
Mar 14, 2023
by
admin
239
views
tifrmaths2023
2
votes
0
answers
84
TIFR Mathematics 2023 | Part A | Question: 13
Let $\left\{x_{n}\right\}_{n}$ be a sequence in a metric space $(X, d)$. Let $f: X \rightarrow \mathbb{R}$ be defined by \[ f(x)=\inf \left\{d\left(x, x_{n}\right) \mid n \in \mathbb{N}\right\} . \] ... $f$ is continuous on $X$ if and only if $X$ is compact. None of the remaining three options is correct.
admin
asked
in
Others
Mar 14, 2023
by
admin
144
views
tifrmaths2023
2
votes
0
answers
85
TIFR Mathematics 2023 | Part A | Question: 14
The number of finite groups, up to isomorphism, with exactly two conjugacy classes, equals $1$. $2$. Greater than $2$, but finite. Infinite.
admin
asked
in
Others
Mar 14, 2023
by
admin
243
views
tifrmaths2023
2
votes
0
answers
86
TIFR Mathematics 2023 | Part A | Question: 15
Consider the following assertions about a commutative ring $R$ with identity and elements $a, b \in R$ : $\text{(I)}$ There exist $p, q \in R$ such that $a p+b q=1$. $\text{(II)}$ There exist $p, q \in R$ such that $a^{2} p+b^{2} q=1$. ... implies $\text{(I)}$. $\text{(I)}$ does not imply $\text{(II)}$, and $\text{(II)}$ does not imply $\text{(I)}$.
admin
asked
in
Others
Mar 14, 2023
by
admin
198
views
tifrmaths2023
2
votes
0
answers
87
TIFR Mathematics 2023 | Part A | Question: 16
The number of elements of finite order in the group \[ \left\{\left(\begin{array}{ccc} 1 & a & b \\ 0 & 1 & c \\ 0 & 0 & 1 \end{array}\right) \mid a, b, c \in \mathbb{R}\right\} \] is $1$. Finite, but not $1$. Countably infinite. Uncountably infinite.
admin
asked
in
Others
Mar 14, 2023
by
admin
195
views
tifrmaths2023
2
votes
0
answers
88
TIFR Mathematics 2023 | Part A | Question: 17
The value of \[ \max \left(\bigcup_{\substack{k \in \mathbb{N} \\ k \geq 1}}\left\{x_{1} x_{2} \ldots x_{k} \mid x_{1}, \ldots, x_{k} \in \mathbb{N}, \text { and } x_{1}+\cdots+x_{k}=100\right\}\right) \] equals $4 \times 3^{32}$. $2^{50}$. $2^{26} \times 3^{16}$. None of the remaining three options.
admin
asked
in
Others
Mar 14, 2023
by
admin
185
views
tifrmaths2023
2
votes
0
answers
89
TIFR Mathematics 2023 | Part A | Question: 18
Choose the option that completes the sentence correctly: There exists a $10 \times 10$ real symmetric matrix $A,$ all of whose entries are nonnegative and all of whose diagonal entries are positive, such that $A^{10}$ has exactly $67$ positive entries. exactly $68$ positive entries. exactly $69$ positive entries. exactly $70$ positive entries.
admin
asked
in
Others
Mar 14, 2023
by
admin
412
views
tifrmaths2023
2
votes
0
answers
90
TIFR Mathematics 2023 | Part A | Question: 19
The number of (nondegenerate Euclidean) triangles with sides of integer length and perimeter $8,$ up to congruence, is $1$ . $2$. $3$. $4$.
admin
asked
in
Others
Mar 14, 2023
by
admin
277
views
tifrmaths2023
2
votes
1
answer
91
TIFR Mathematics 2023 | Part A | Question: 20
Let ... $A$ is infinite. $A$ is empty. $A$ is singleton. $A$ is finite, but neither empty nor singleton.
admin
asked
in
Others
Mar 14, 2023
by
admin
313
views
tifrmaths2023
2
votes
1
answer
92
PhD Admissions Written Test (Basic)
Let A be an array containing n integers. It is required to find 3 indices i, j, k such that i < j < k and either A[i] ≤ A[j] ≤ A[k] or A[i] ≥ A[j] ≥ A[k], if such indices exist. The asymptotic time complexity of the fastest algorithm for this problem, assuming the array is already available, is Θ(_____________).
rsansiya111
asked
in
Others
Sep 11, 2022
by
rsansiya111
398
views
data-structures
algorithms
2
votes
2
answers
93
ISI 2019 | PCB CS | Question: 15
Consider a max-heap of $n$ distinct integers, $n \geq 4$, stored in an array $\mathcal{A}[1 \ldots n]$. The second minimum of $\mathcal{A}$ is the integer that is less than all integers in $\mathcal{A}$ except the minimum of $\mathcal{A}$. Find all possible array indices of $\mathcal{A}$ in which the second minimum can occur. Justify your answer.
admin
asked
in
Others
Aug 8, 2022
by
admin
171
views
isi2019-pcb-cs
descriptive
2
votes
1
answer
94
ISI 2021 | PCB Mathematics | Question: 1
Consider a standard balance with two pans where weights can only be placed on the left pan, and the object to be weighed on the right pan. Find the minimum number of weights required to weigh any object whose weight in grams could be any integer ranging from $1$ to $127$. Give precise argument in favor of your answer.
admin
asked
in
Others
Aug 8, 2022
by
admin
766
views
isi2021-pcb-mathematics
descriptive
2
votes
0
answers
95
Maths for natural science
Suppose a radioactive substance decays according to the equation $y=2000e^{-0.75t}$, where $y$ represent the mass in grams after $t$ hours. Calculate the mass of the substance after $3\frac{1}{2}$ hours have elapsed
Hailemariam
asked
in
Others
Aug 4, 2022
by
Hailemariam
307
views
2
votes
1
answer
96
ISI2021-MMA: 24
A fair die is rolled five times. What is the probability that the largest number rolled is $5$? $5 / 6$ $1 / 6$ $1-(1 / 6)^{6}$ $(5 / 6)^{5}-(2 / 3)^{5}$
admin
asked
in
Others
Jul 23, 2022
by
admin
645
views
isi2021-mma
2
votes
1
answer
97
CMI-2021-DataScience-A: 1
There are two longest subsequences, not necessarily contiguous, common to the strings $\text{ ARTIFICIAL"}$ and $\text{ INTELLIGENCE."}$ They are $\text{ IIC"}$ and $\text{ TIC"}$ which are of length three. Consider two strings $\text{S1 = CORONAVIRUS"}$ ... $x$ between $\text{S} 1$ and $\text{S} 2$. What is $x+5y?$ $13$ $15$ $14$ $16$
admin
asked
in
Others
Jul 23, 2022
by
admin
216
views
cmi2021-datascience
2
votes
0
answers
98
CMI2022-A: 6
The Telvio mobile service provider allows each customer to choose a part of their $10$- digit mobile number when getting a new connection. The first two digits of the number are fixed by the company based on the customer's region. The customer can choose the last four digits as they wish. The ... when read from left to right? $\frac{1}{4}$ $\frac{1}{16}$ $\frac{1}{24}$ $\frac{1}{32}$
admin
asked
in
Others
Jul 22, 2022
by
admin
238
views
cmi2022
2
votes
1
answer
99
NIELIT 2022 April Scientist B | Section B | Question: 49
Let $\text{R (A, B, C, D)}$ be a relational schema with the following functional dependencies: $\text{A} \rightarrow \text{B, B} \rightarrow \text{C}$ $\text{C} \rightarrow \text{D}$ ... dependency preserving does not give a lossless join, but is dependency preserving does not give a lossless join and is not dependency preserving
soujanyareddy13
asked
in
Others
Apr 12, 2022
by
soujanyareddy13
944
views
nielit2022apr-scientistb
databases
database-normalization
lossless-join
2
votes
0
answers
100
NIELIT 2022 April Scientist B | Section B | Question: 71
Find out the maximum link speed at which a source can generate $1500-\text{byte TCP}$ payloads with packet lifetime of upto $120 \; \text{msec}$ before the $32-$bit sequence numbers wrap around? Take into account $\text{TCP, IPv4,}$ and Ethernet header ... $137 \; \text{Mbps}$ $256 \; \text{Mbps}$ $299 \; \text{Mbps}$ $512 \; \text{Mbps}$
soujanyareddy13
asked
in
Others
Apr 12, 2022
by
soujanyareddy13
897
views
nielit2022apr-scientistb
Page:
« prev
1
2
3
4
5
6
7
8
9
10
...
114
next »
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
(3.5k)
Engineering Mathematics
(10.4k)
Digital Logic
(3.6k)
Programming and DS
(6.2k)
Algorithms
(4.8k)
Theory of Computation
(6.9k)
Compiler Design
(2.5k)
Operating System
(5.2k)
Databases
(4.8k)
CO and Architecture
(4.0k)
Computer Networks
(4.9k)
Artificial Intelligence
(79)
Machine Learning
(48)
Data Mining and Warehousing
(25)
Non GATE
(1.4k)
Others
(2.7k)
Others
(2.3k)
Study Resources
(360)
GATE Application
(43)
Revision
(27)
Site Issues
(10)
Admissions
(684)
Exam Queries
(1.6k)
Tier 1 Placement Questions
(17)
Job Queries
(80)
Projects
(11)
Unknown Category
(870)
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:...
Network Sites
GO Mechanical
GO Electrical
GO Electronics
GO Civil
CSE Doubts
Aptitude Overflow