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1
answer
TIRFGS2021 Question
What is the area of a rectangle with the largest perimeter that can be inscribed in a unit circle (i.e., all the vertices of the rectangle are on the circle with radius 1)? (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
answer selected
Mar 25
in
Calculus

41
views
tifr2021
area
1
answer
TIFRGS2021 Question
Find the following sum $\frac{1}{2^2 – 1} + \frac{1}{4^2 – 1} + \frac{1}{6^2 – 1} + … + \frac{1}{40^2 – 1}$ (A) $\frac{20}{41}$ (B) $\frac{10}{41}$ (C) $\frac{10}{21}$ (D) $\frac{20}{21}$ (E) $1$
answer selected
Mar 25
in
Calculus

29
views
numberseries
sum
tifr2021
1
answer
TIFRGS2021 Question
A box contains 5 red marbles, 8 green marbles, 11 blue marbles, and 15 yellow marbles. We draw marbles uniformly at random without replacement from the box. What is the minimum number of marbles to be drawn to ensure that out of the marbles drawn, at least 7 are of the same colour? (A) 7 (B) 8 (C) 23 (D) 24 (E) 39
answered
Mar 24
in
Combinatory

10
views
tifr2021
0
answers
TIFRGS2021 Question
Lavanya and Ketak each flip a fair coin (i.e., both heads and tails have equal probability of appearing) $n$ times. What is the probability that Lavanya sees more heads than Ketak? In the following, the binomial conefficient $n\choose k$ counts the number of $k$element subsets of an $n$element ... $\sum_{i=0}^{n}\frac{{n\choose i}}{2^{2n}}$
asked
Mar 24
in
Probability

7
views
tifr2021
probability
0
answers
TIFRGS2021 Question
Fix $n\geq6$. Consider the set $C$ of binary strings $x_1x_2...x_n$ of length n such that the bits satisfy the following set of equalities, all modulo 2: $x_i + x_{i+1} + x_i+2 = 0$ for all $1\leq i\leq n2, x_{n1} + x_n + x_1 = 0$, and $x_n + x_1 + x_2 = 0$. What ... $n \geq6$ is divisible by $3$ then $C = 4$. If $n\geq 6$ is not divisible by $3$ the $C =14$
asked
Mar 24
in
Set Theory & Algebra

6
views
tifr2021
sets
0
answers
TIFRGS2021 Question
Consider the sequence $y_n = \frac{1}{\int_{1}^{n}\frac{1}{(1 + x/n)^3}dx}$ for $n = 2, 3, 4, ...$. Which of the following is TRUE? (A) The sequence $\{y_n\}$ does not have a limit as $n\rightarrow \infty$. (B) $y_n\leq 1$ ... $0$. (E) The sequence $\{y_n\}$ first increases and then decreases as $n$ takes values $2, 3, 4, ...$
asked
Mar 24
in
Calculus

3
views
tifr2021
limits
0
answers
TIFRGS2021 Question
Let $d$ be the number of positive square integers (that is, it is a square of some integer) that are factors of $20^5\times21^5$. Which of the following is true about $d$? (A) $50 \leq d < 100$ (B) $100 \leq d < 150$ (C) $150 \leq d < 200$ (D) $200 \leq d < 300$ (E) $300 \leq d$
asked
Mar 24
in
Combinatory

5
views
tifr2021
factors
0
answers
TIFRGS2021 Question
A matching in a graph is a set of edges such that no two edges in the set share a common vertex. Let $G$ be a graph on $n$ vertices in which there is a subset $M$ of $m$ ... $p^{2m}$ (D) $(1  p^2)^m$ (E) $1  (1  p(1  p))^m$
asked
Mar 24
in
Probability

7
views
tifr2021
probability
0
answers
TIFRGS2021 Question
Let $n$, $m$ and $k$ be three positive integers such that $n \geq m \geq k$. Let $S$ be a subset of $\{1, 2, , n\}$ of size $k$. Consider sampling a function uniformly at random from the set of all functions mapping $\{1, , n\}$ to $\{1, , m\}$. What is the probability ... $1  \frac{k!{n\choose k}}{n^k}$ (E) $1  \frac{k!{n\choose k}}{m^k}$
asked
Mar 24
in
Combinatory

4
views
tifr2021
binomial
0
answers
TIFRGS2021Question
What is the probability that at least two out of four people have their birthdays in the same month, assuming their birthdays are uniformly distributed over the twelve months? (A) $\frac{25}{48}$ (B) $\frac{5}{8}$ (C) $\frac{5}{12}$ (D) $\frac{41}{96}$ (E) $\frac{55}{96}$
asked
Mar 24
in
Probability

7
views
tifr2021
probability
0
answers
TIFRGS2021 Question
Let $M$ be a $n\times m$ real matrix. Consider the following: Let $k_1$ be the smallest number such that $M$ can be factorized as $A.B$, where $A$ is an $n\times k_1$ matrix and $B$ is a $k_1\times m$ matrix. Let $k_2$ ... $k_2 = k_3 < k_1$ (D) $k_1 = k_2 = k_3$ (E) No general relationship exists among $k_1$, $k_2$ and $k_3$
asked
Mar 24
in
Linear Algebra

5
views
tifr2021
matrices
0
answers
Accommodation dilemma at IITB
IITB aren’t providing any accommodation for their M.Tech program this year. How difficult will it be to stay outside campus? Source: IIT B information brochure: https://www.iitb.ac.in/newacadhome/MTECHBROUCHURE2021.pdf
commented
Mar 23
in
IISc/IITs

21
views
selfdoubt
0
answers
Gate2021 Normalization ≠ Reality ?
I got the Set2 paper in GATE2021. As all of you realize this year Set2 was on the harder side. According to the official answerkey, my marks were 28. Checked with GO predictor (The most accurate one) I hoped that as Set 2 was a bit ... in the public interest. Please feel to correct me. I hope Arjun sir will clear All of My doubts. You are the only hope.
commented
Mar 23
in
GATE Application

42
views
selfdoubt
1
answer
Kenneth H Rosen
Show that $p<>q$ and ~p <>~q are logically equivalent.
commented
Mar 22
in
Mathematical Logic

17
views
kennethrosen
discretemaths
0
answers
Applied Course GATE CS  DBMS Practice test 3
Given 3 T1, T2 and T3 transactions which have (2,2), (3,2), (4,2) read and write operations respectively the no of schedules possible using these three transactions are A. 1260 B. 630630 C. 6 D. 63000
commented
Mar 22
in
Databases

10
views
databases
transactions
0
answers
Jest sample paper question number 7
function mu(a,b:integer) returns integer; var i,y: integer; begin P i = 0; y = 0; while (i < a) do begin Q y := y + b ; i = i + 1 end return y end I arrived at the answer that Q=y<a P=y<i
commented
Mar 22
in
Programming

36
views
programming
0
answers
GATE graph theory
How many nonisomorphic graphs are possible with 6 edges 6 vertices each having a degree of 2? 2 4 5 6
commented
Mar 22
in
Graph Theory

16
views
graphtheory
selfdoubt
0
answers
Process Synchronization  Test and Set Variable Method
commented
Mar 22
in
Operating System

12
views
operatingsystem
synchronization
0
answers
Paging. SelfDoubt
Here I solved this in this way .. Since the virtual address space is 32bit long and the first 8 bit specifies the firstlevel index. Next is the Offset of the page which is 12 from the first line. Coincidently, 20 bit are still left here and it ... this might be the answer. For reference, the answer to the solution is given . Thanks in advance. Is my approach wrong or correct?
commented
Mar 22
in
Operating System

10
views
selfdoubt
preperation
paging
1
answer
Kenneth H Rosen
Let p and q be propositions p: I bought a lottery ticket this week q: I won the milliondollar jackpot Express each of these propositions as English sentences (i) ~p (ii) p$\vee$q (iii) p$\rightarrow$q (iv) p$\wedge$q (v) p$\Leftrightarrow$q (vi) ~p$\rightarrow$~q (vii) ~p$\wedge$~q (viii) ~p$\vee$(p$\wedge$q)
answered
Mar 22
in
Mathematical Logic

16
views
kennethrosen
discretemaths
1
answer
#Toc #Applied
For this type of question, how did you attempt to make the DFA?
answered
Mar 22
in
Theory of Computation

19
views
computation
theory
0
answers
GATE functions and relations
The function f: [0,3]$\rightarrow$[1,29] defined by f(x) = $2x^{3}  15x^{2} + 36x +1$ where x is an integer is (a) injective and surjective (b) surjective but not injective (C) injective but not surjective (d) neither injective not surjective
commented
Mar 22
in
Mathematical Logic

34
views
selfdoubt
discretemaths
1
answer
Self doubt Pointers
Please explain how to get the outputs here? void main() { int i=255, j; char *p; p=&i; j=*p; *p=32; printf("%d %d",i,j); } void main() { int i=265, j; char *p; p=&i; j=*p; *p=32; printf("%d %d",i,j); }
commented
Mar 20
in
Programming

37
views
programming
pointers
0
answers
Process Synchronization
Does starvation mean that the thread has to keep waiting but it will eventually get executed, or does it mean that it will stop trying to execute after a certain point?
commented
Mar 17
in
Operating System

6
views
synchronization
0
answers
Peter Linz An Introduction to Formal Languages and Automata 6th edition chapter 1.3 exercise 12
commented
Mar 17
in
Theory of Computation

18
views
peterlinz
1
answer
Made easy workbook
Suppose we have two entity sets person, Email and use a relationship Owns. A person own atmost one email account but an email account can be owned by multiple persons. Which of the following is an ER diagram based on above description.
commented
Mar 16
in
Databases

26
views
workbook
databases
0
answers
Applied Gate CSE DBMS Subject Test
Relation R (A,B,C,D) with FD'S { A>B, B>C, C>D, D>A } then relation R is decomposed into two relations R1 and R2 such that it is satisfying second normal form, third normal form and BCNF and decomposition is lossy. Then how the attributes are distributed in these two decomposed relations R1 and R2? Note: U is the set of all attributes. 1. 2. 3. 4.
commented
Mar 14
in
Databases

23
views
databases
normalization
0
answers
Made Easy Postal study material objective practice sets algorithmasymptotic analysis
commented
Mar 13
in
Algorithms

13
views
algorithms
0
answers
Made easy workbook
What is the correct answer for this question.Please give the detailed solution…..
commented
Mar 13
in
Algorithms

20
views
workbook
0
answers
#Madeeasywork book
Caption
commented
Mar 13
in
Compiler Design

17
views
compilerdesign
0
answers
assignment for b.tech
Design turing machine that accepts all string containing at least one ‘a’ and ‘b’ where $\sum =(a,b,c)$
commented
Mar 13
in
Theory of Computation

18
views
turingmachine
0
answers
Need to change the book content details
Here, Chapter 9 is missing. This makes me loose 2 marks. Because I blindly believed that the content described in this material is accurate. So plz update the latest content in this material.
commented
Mar 12
in
Algorithms

14
views
algorithms
0
answers
Prepositional Logic
which of the following is valid ? 1 p => ( q v r ) 2 p => ( q ^ r ) please provide little bit explaination?
commented
Mar 10
in
Mathematical Logic

16
views
selfdoubt
logic
0
answers
Which books should i refer for learning distributions in probability?
commented
Mar 5
in
Probability

14
views
probability
0
answers
PLEASE HELP WITCH COMPUTER SCIENCE
commented
Mar 5
in
Others

39
views
algorithms
0
answers
PDA for a^nb^n/n>=1
Is this PDA correct for a^n. B^n/n>=1?
commented
Mar 4
in
Theory of Computation

15
views
toclanguages
1
answer
Self Doubt on Theory of Computation
What is the intersection of recursive and recursively enumerable language?
answered
Mar 4
in
Theory of Computation

24
views
turingmachine
toclanguages
selfdoubt
0
answers
I have a doubt in engineering mathematics.
despite knowing different numerical methods like taylor’s series , R K Method , Eulers method , which one to choose based on the matrix pattern.
commented
Mar 2
in
Calculus

11
views
calculus
0
answers
I am getting 60 marks in GATE CSE 2021 SET 2(not normalised), what all colleges can I get for MTECH CSE?
commented
Mar 2
in
GATE

45
views
admission
1
answer
Unambiguous Grammar
I am no able to prove if the following grammar is ambiguous. G=({S,A,B},{A,B},P,S} P: S>aABbBA A>bSa B>aSb Can some one help me prove it?
answered
Mar 2
in
Theory of Computation

31
views
selfdoubt
9,200
questions
3,182
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14,686
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