Recent questions and answers in Exam Queries

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1 answer

1

attempting GATE from non CSE Background
I am not from CSE background so i would be learning from scratch could you suggest me some resources and pointers or maybe youtube channels as i am completely on my own thank you I am in third year Engineering

Awe111 answered in GATE Oct 10

by Awe111

49 views

0 votes

1 answer

2

Should we read standard books for MSQ questions in GATE CSE 2022 ?
Should we read standard books for MSQ questions in GATE CS 2022 ?

air11 answered in GATE Sep 25

by air11

497 views

0 votes

1 answer

3

For GATE 2022, then till how many years does he solve the PYQ?how many times he have to attempt it ?

minalBallav answered in GATE Sep 20

215 views

0 votes

2 answers

4

Gate2022 CSE
How To Prepare GATE CSE In 4 Months, And Get Rank Under 500. Please Guide?

minalBallav answered in GATE Sep 18

428 views

6 votes

1 answer

5

Important Discussions in GO
Here are some HOT Conceptual Discussions made in GateOverflow . You can add in comments if you find any discussions in GO on any topic . These discussion will improve concetual understanding and it also helps in quick revision of the topics ... ://gateoverflow.in/113244/doubts-in-pipelining CN Token Bucket : https://gateoverflow.in/100232/token-bucket-gate-2016-question

asqwer answered in GATE Jul 7

by asqwer

669 views

1 vote

3 answers

6

IIIT H PGEE
Can anyone please guide how to prepare for Paper1?

asqwer answered in IIITH-PGEE Jul 5

by asqwer

2.5k views

2 votes

2 answers

7

NTA NET NOV2020( Big O )

rish1602 answered in CBSE/UGC NET Jun 12

161 views

0 votes

1 answer

8

NTA NET NOV 2020

Padhi98 answered in CBSE/UGC NET Apr 20

225 views

0 votes

1 answer

9

TIFR-2019-Maths-B: 5
True/False Question : Suppose $A,B,C$ are $3\times3$ real matrices with Rank $A =2$, Rank $B=1$, Rank $C=2$. Then Rank $(ABC)=1$.

Dimpi779 answered in TIFR Feb 23

77 views

0 votes

1 answer

10

Gate books enquiry
I am preparing for gate 2020, can someone please guide me about which books/sources should I use for solving problems in Data structure and algorithms? And should I solve the questions from the Cormen book (introduction to algorithms) for the gate preparation? Thank you!

Arpit Somani answered in GATE Feb 20

by Arpit Somani

248 views

0 votes

2 answers

11

NTA NET 2020 (DISK)

Girjesh Chouhan answered in CBSE/UGC NET Jan 10

by Girjesh Chouhan

331 views

0 votes

1 answer

12

NTA NET 2020 (DIsk)

s123 answered in CBSE/UGC NET Nov 17, 2020

by s123

124 views

0 votes

1 answer

13

NTANET 2020(Disk)

s123 answered in CBSE/UGC NET Nov 17, 2020

by s123

93 views

0 votes

1 answer

14

NTA NET 2020(DISK 5)

s123 answered in CBSE/UGC NET Nov 17, 2020

by s123

142 views

0 votes

0 answers

15

NTA NET NOV 2020

Sanjay Sharma asked in CBSE/UGC NET Nov 16, 2020

by Sanjay Sharma

107 views

1 vote

1 answer

16

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 $\frac{1}{2}.$

zxy123 answered in TIFR Nov 2, 2020

by zxy123

159 views

7 votes

5 answers

17

ISRO2014-33
The following Finite Automaton recognizes which of the given languages? $\{ 1, 0 \}^* \{ 0 1 \}$ $\{ 1,0\}^*\{ 1\}$ $\{ 1 \} \{1, 0\}^*\{ 1 \}$ $1^*0^*\{0,1\}$

Musa answered in GATE Oct 16, 2020

by Musa

4.2k views

0 votes

1 answer

18

TIFR-2013-Maths-A: 3
True/False Question : The equation $x^{3}+3x-4=0$ has exactly one real root.

ayush.5 answered in TIFR Oct 12, 2020

100 views

0 votes

1 answer

19

TIFR-2012-Maths-D: 32
True/False Question: The polynomial $X^{8}+1$ is irreducible in $\mathbb{R}\left [ X \right ]$.

ObitoUchiha answered in TIFR Sep 15, 2020

112 views

0 votes

1 answer

20

TIFR-2012-Maths-B: 12
True/False Question: Let $V$ be the vector space of consisting polynomials of $\mathbb{R}\left [ t \right ]$ of deg$\leq 2$. The map $T:V\rightarrow V$ sending $f\left ( t \right )$ to $f\left ( t \right )+{f}'\left ( t \right )$ is invertible.

raju6 answered in TIFR Sep 10, 2020

by raju6

109 views

0 votes

1 answer

21

TIFR-2012-Maths-B: 11
True/False Question: The automorphism group $Aut\left ( \mathbb{Z}/2\times \mathbb{Z}/2 \right )$ is abelian.

raju6 answered in TIFR Sep 10, 2020

by raju6

94 views

0 votes

1 answer

22

TIFR-2012-Maths-B: 13
True/False Question: The polynomials $\left ( t-1 \right )\left ( t-2 \right ),\left ( t-2 \right )\left ( t-3 \right ),\left ( t-3 \right )\left ( t-4 \right ),\left ( t-4 \right )\left ( t-6 \right )\in \mathbb{R}\left [ t \right ]$ are linearly independent.

raju6 answered in TIFR Sep 10, 2020

by raju6

87 views

0 votes

1 answer

23

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.

raju6 answered in TIFR Sep 9, 2020

by raju6

128 views

0 votes

1 answer

24

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 $\left | z_{1} \right |^{2}+\left | z_{2} \right |^{2}+\left | z_{3} \right |^{2}+\left | z_{4} \right |^{2}=1$ ... $2$.

raju6 answered in TIFR Sep 9, 2020

by raju6

145 views

1 vote

1 answer

25

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.

ayush.5 answered in TIFR Sep 7, 2020

244 views

0 votes

1 answer

26

TIFR-2017-Maths-A: 30
True/False Question : The matrices $\begin{pmatrix} x &0 \\ 0 & y \end{pmatrix} and \begin{pmatrix} x &1 \\ 0 & y \end{pmatrix}, x\neq y,$ for any $x,y \in \mathbb{R}$ are conjugate in $M_{2}\left ( \mathbb{R} \right )$ .

ankitgupta.1729 answered in TIFR Sep 6, 2020

by ankitgupta.1729

76 views

0 votes

1 answer

27

TIFR-2017-Maths-A: 29
True/False Question : Let $y\left ( t \right )$ be a real valued function defined on the real line such that ${y}'=y \left ( 1-y \right )$, with $y\left ( 0\right ) \in \left [ 0,1 \right ]$. Then $\lim_{t\rightarrow \infty }y\left ( t \right )=1$ .

ankitgupta.1729 answered in TIFR Sep 6, 2020

by ankitgupta.1729

75 views

0 votes

1 answer

28

TIFR-2018-Maths-A: 7
True/False Question : In the vector space $\left \{ f \mid f : \left [ 0,1 \right ] \rightarrow \mathbb{R}\right \}$ of real-valued functions on the closed interval $\left [ 0,1 \right ]$, the set $S=\left \{ sin\left ( x \right ) , cos\left ( x \right ),tan\left ( x \right )\right \}$ is linearly independent.

ankitgupta.1729 answered in TIFR Sep 6, 2020

by ankitgupta.1729

88 views

0 votes

1 answer

29

TIFR-2019-Maths-A: 10
Let $S=\left \{ x \in\mathbb{R} \mid x=Trace\:(A) \:for\:some\:A \in M_{4} (\mathbb{R}) such\:that\:A^{2}=A \right\}.$ Then which of the following describes $S$? $S=\left \{ 0,2,4 \right \}$ $S=\left \{ 0,1/2,1,3/2,2,5/2,3,7/2,4 \right \}$ $S=\left \{ 0,1,2,3,4 \right \}$ $S=\left \{ 0,4 \right \}$

ankitgupta.1729 answered in TIFR Aug 31, 2020

by ankitgupta.1729

86 views

0 votes

1 answer

30

TIFR-2019-Maths-B: 2
True/False Question : If $A \in M_{10} \left ( \mathbb{R} \right )$ satisfies $A^{2}+A+I=0$, then $A$ is invertible.

ankitgupta.1729 answered in TIFR Aug 31, 2020

by ankitgupta.1729

118 views

0 votes

1 answer

31

TIFR-2018-Maths-B: 9
What are the last $3$ digits of $2^{2017}$? $072$ $472$ $512$ $912.$

ankitgupta.1729 answered in TIFR Aug 31, 2020

by ankitgupta.1729

85 views

0 votes

1 answer

32

TIFR-2020-Maths-A: 2
Consider the set of continuous functions $f:\left [ 0,1 \right ]\rightarrow \mathbb{R}$ that satisfy: $\int_{0}^{1}f\left ( x \right )\left ( 1-f\left ( x \right ) \right )dx=\frac{1}{4}.$ Then the cardinality of this set is: $0$. $1$. $2$. more than $2$.

ankitgupta.1729 answered in TIFR Aug 31, 2020

by ankitgupta.1729

100 views

0 votes

0 answers

33

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.

soujanyareddy13 asked in TIFR Aug 30, 2020

by soujanyareddy13

100 views

0 votes

0 answers

34

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 $v_{i},w_{i}\in \mathbb{C}.$

soujanyareddy13 asked in TIFR Aug 30, 2020

by soujanyareddy13

77 views

0 votes

0 answers

35

TIFR-2012-Maths-D: 37
True/False Question: If every continuous function on $X\subset \mathbb{R}^{2}$ is bounded, then $X$ is compact.

soujanyareddy13 asked in TIFR Aug 30, 2020

by soujanyareddy13

59 views

0 votes

0 answers

36

TIFR-2012-Maths-D: 38
True/False Question: The graph of $xy=1$ is $\mathbb{C}^{2}$ is connected.

soujanyareddy13 asked in TIFR Aug 30, 2020

by soujanyareddy13

65 views

0 votes

0 answers

37

TIFR-2012-Maths-D: 40
True/False Question: Consider the differential equations (with $y$ is a function of $x$) $\begin{matrix} \frac{dy}{dx} & = & y\\ y\left ( 0 \right ) & = & 0 \end{matrix}$ ... $(1)$ has infinitely many solutions but $(2)$ has finite number of solutions.

soujanyareddy13 asked in TIFR Aug 30, 2020

by soujanyareddy13

81 views

0 votes

0 answers

38

TIFR-2012-Maths-C: 21
True/False Question: Let $f : \mathbb{R}^{2}\rightarrow \mathbb{R}$ be a continuous function. Then the derivative $\frac{\partial ^{2}f}{\partial x\partial y}$ can exist without $\frac{\partial f}{\partial x}$ existing.

soujanyareddy13 asked in TIFR Aug 30, 2020

by soujanyareddy13

71 views

0 votes

0 answers

39

TIFR-2012-Maths-C: 22
True/False Question: If $f$ is continuous on $\left [ 0,1 \right ]$ and if $\int_{0}^{1}f\left ( x \right )x^{n}dx=0$ for $n=1,2,3,\cdots .$ .Then $\int_{0}^{1}f^{2}\left ( x \right )dx=0.$

soujanyareddy13 asked in TIFR Aug 30, 2020

by soujanyareddy13

67 views

0 votes

0 answers

40

TIFR-2012-Maths-C: 23
True/False Question: Suppose that $f \in \mathfrak{L}^{2} \left ( \mathbb{R} \right )$. Then $f \in \mathfrak{L}^{1} \left ( \mathbb{R} \right )$.

soujanyareddy13 asked in TIFR Aug 30, 2020

by soujanyareddy13

64 views

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