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1

Eligibility Criteria M.Sc
I have done M.Sc in mathematics and computing with 6.1 cgpa am I eligible for Mtech cse

rahul_2048 asked in GATE Mar 18

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2

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 asked in IIITH-PGEE Mar 13

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1 vote

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3

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

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4

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.

Apex7D0 asked in GATE Feb 23

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5

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.

doubtmaster86 asked in GATE Feb 20

by doubtmaster86

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6

GATE 2024
Does the GO Rank predictor automatically knows which SET my paper belongs to since there are no choice to choose SET number?

hmg87829 asked in GATE Feb 18

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7

When will the Gate Overflow answer key get released along with mark distribution?

hacker24 asked in GATE Feb 17

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8

Where can i find iiit hyderabad pgee mock tests??

Umesh Chandra asked in GATE Feb 17

by Umesh Chandra

175 views

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9

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

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10

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

65 views

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11

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

62 views

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12

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

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13

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

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14

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

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15

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

56 views

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16

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

57 views

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17

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

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18

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

62 views

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19

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

59 views

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20

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

64 views

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21

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

66 views

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22

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

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23

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

63 views

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24

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

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25

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

71 views

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26

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

68 views

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27

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

90 views

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28

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

109 views

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29

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 asked in GATE Jan 15

by mih7r

87 views

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30

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

87 views

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