Answers by Gyanu / GATE Overflow for GATE CSE

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TIFR CSE 2018 | Part A | Question: 14
Let $A$ be an $n\times n$ invertible matrix with real entries whose row sums are all equal to $c$. Consider the following statements: Every row in the matrix $2A$ sums to $2c$. Every row in the matrix $A^{2}$ sums to $c^{2}$. Every row in ... and $(2)$ are correct but not necessarily statement $(3)$ all the three statements $(1), (2),$ and $(3)$ are correct

Let $A$ be an $n\times n$ invertible matrix with real entries whose row sums are all equal to $c$. Consider the following statements:Every row in the matrix $2A$ sums to ...

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answered Oct 21, 2020

1 votes

2

UGC NET CSE | December 2006 | Part 2 | Question: 32
Which of the following is the most general phase-structured grammar ? Regular Context-sensitive Context free Syntax tree

Which of the following is the most general phase-structured grammar ?RegularContext-sensitiveContext freeSyntax tree

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answered Sep 23, 2020

1 votes

3

NIELIT 2017 OCT Scientific Assistant A (CS) - Section B: 11
Synthesized attribute can easily be simulated by an LL grammar ambiguous grammar LR grammar none of the above

Synthesized attribute can easily be simulated by anLL grammarambiguous grammarLR grammarnone of the above

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answered Sep 23, 2020

1 votes

4

NIELIT 2017 OCT Scientific Assistant A (CS) - Section B: 10
Consider an $\varepsilon$-tree CFG. If for every pair of productions $A\rightarrow u$ and $A\rightarrow v$ If $\text{FIRST(u)} \cap \text{FIRST(v)}$ is empty then the CFG has to be $LL(1).$ If the CFG is $LL(1)$ then $\text{FIRST(u)} \cap \text{FIRST(v)}$ has to be empty. Both $(A)$ and $(B)$ None of the above

Consider an $\varepsilon$-tree CFG. If for every pair of productions $A\rightarrow u$ and $A\rightarrow v$If $\text{FIRST(u)} \cap \text{FIRST(v)}$ is empty then the CFG ...

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answered Sep 23, 2020

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5

Probability # Distribution
A traffic office imposes on an average 5 number of penalities daily on traffic violators.Assume that the number of the penalties on different days is independent and follows a Poisson distribution.The probability that there will be less than 4 penalties in a day is _______________ ?

A traffic office imposes on an average 5 number of penalities daily on traffic violators.Assume that the number of the penalties on different days is independent and foll...

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answered Aug 18, 2020

1 votes

6

coin
A fair coin is tossed n times .find probability of difference between head and tails is n-3

A fair coin is tossed n times .find probability of difference between head and tails is n-3

4.1k views

answered Aug 18, 2020

6 votes

7

TIFR CSE 2013 | Part B | Question: 3
How many $4 \times 4$ matrices with entries from ${0, 1}$ have odd determinant? Hint: Use modulo $2$ arithmetic. $20160$ $32767$ $49152$ $57343$ $65520$

How many $4 \times 4$ matrices with entries from ${0, 1}$ have odd determinant?Hint: Use modulo $2$ arithmetic.$20160$$32767$$49152$$57343$$65520$

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answered Aug 14, 2020

1 votes

8

Doubt
How many distinct unlabeled graphs are there with 4 vertices and 3 edges?

How many distinct unlabeled graphs are there with 4 vertices and 3 edges?

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answered Jun 13, 2019

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Zeal Test Series 2019: Graph Theory - Graph Connectivity

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answered Jun 12, 2019

1 votes

10

GB DL - Test 1 - Question 7
The Gray code representation of 11710 is: (A) 1111001 (B) 1001111 (C) 1110110 (D) 1110101

The Gray code representation of 11710 is: (A) 1111001 (B) 1001111 (C) 1110110 (D) 1110101

1.3k views

answered Nov 27, 2018

3 votes

11

ISRO-2017-Q4
The function f:[0,3]->[1,29] defined by f(x)=2*X^3 -15*X^2+36*X+1 is a) injective and surjective b) injective but not surjective c) injective but not surjective d) neither injective nor surjective

The function f:[0,3]->[1,29] defined by f(x)=2*X^3 -15*X^2+36*X+1 isa) injective and surjectiveb) injective but not surjectivec) injective but not surjectived) neither in...

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answered Oct 12, 2018

15 votes

12

TIFR CSE 2015 | Part A | Question: 11
Suppose that $f(x)$ is a continuous function such that $0.4 \leq f(x) \leq 0.6$ for $0 \leq x \leq 1$. Which of the following is always true? $f(0.5) = 0.5$. There exists $x$ between $0$ and $1$ such that $f(x) = 0.8x$. There exists $x$ between $0$ and $0.5$ such that $f(x) = x$. $f(0.5) > 0.5$. None of the above statements are always true.

Suppose that $f(x)$ is a continuous function such that $0.4 \leq f(x) \leq 0.6$ for $0 \leq x \leq 1$. Which of the following is always true?$f(0.5) = 0.5$.There exists $...

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answered Aug 15, 2018

87 votes

13

GATE CSE 2017 Set 1 | Question: 31
Let $A$ be $n\times n$ real valued square symmetric matrix of rank $2$ with $\sum_{i=1}^{n}\sum_{j=1}^{n}A^{2}_{ij} = 50.$ Consider the following statements. One eigenvalue must be in $\left [ -5,5 \right ]$ The eigenvalue ... than $5$ Which of the above statements about eigenvalues of $A$ is/are necessarily CORRECT? Both I and II I only II only Neither I nor II

Let $A$ be $n\times n$ real valued square symmetric matrix of rank $2$ with $\sum_{i=1}^{n}\sum_{j=1}^{n}A^{2}_{ij} = 50.$ Consider the following statements.One eigenvalu...

49.6k views

answered Jul 20, 2018

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