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6
answers
1
GATE CSE 2015 Set 3 | Question: 37
Suppose $X_i$ for $i=1, 2, 3$ are independent and identically distributed random variables whose probability mass functions are $Pr[X_i = 0] = Pr[X_i = 1] = \frac{1} {2} \text{ for } i = 1, 2, 3$. Define another random variable $Y = X_1X_2 \oplus X_3$, where $\oplus$ denotes XOR. Then $Pr[Y=0 \mid X_3 = 0] =$______.
Suppose $X_i$ for $i=1, 2, 3$ are independent and identically distributed random variables whose probability mass functions are $Pr[X_i = 0] = Pr[X_i = 1] = \frac{1} {2} ...
18.5k
views
commented
Feb 1, 2017
Probability
gatecse-2015-set3
probability
random-variable
normal
numerical-answers
+
–
12
answers
2
GATE CSE 2007 | Question: 24
Suppose we uniformly and randomly select a permutation from the $20 !$ permutations of $1, 2, 3\ldots ,20.$ What is the probability that $2$ appears at an earlier position than any other even number in the selected permutation? $\left(\dfrac{1}{2} \right)$ $\left(\dfrac{1}{10}\right)$ $\left(\dfrac{9!}{20!}\right)$ None of these
Suppose we uniformly and randomly select a permutation from the $20 !$ permutations of $1, 2, 3\ldots ,20.$ What is the probability that $2$ appears at an earlier positio...
15.2k
views
commented
Feb 1, 2017
Probability
gatecse-2007
probability
easy
uniform-distribution
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–
3
answers
3
GATE IT 2007 | Question: 17
Exponentiation is a heavily used operation in public key cryptography. Which of the following options is the tightest upper bound on the number of multiplications required to compute $b^n \bmod{m}, 0 \leq b, n \leq m$ ? $O(\log n)$ $O(\sqrt n)$ $O\Biggl (\frac{n}{\log n} \Biggr )$ $O(n)$
Exponentiation is a heavily used operation in public key cryptography. Which of the following options is the tightest upper bound on the number of multiplications require...
8.9k
views
commented
Jan 31, 2017
Algorithms
gateit-2007
algorithms
time-complexity
normal
+
–
3
answers
4
GATE IT 2005 | Question: 29
Count to infinity is a problem associated with: link state routing protocol. distance vector routing protocol DNS while resolving host name TCP for congestion control
Count to infinity is a problem associated with:link state routing protocol.distance vector routing protocolDNS while resolving host nameTCP for congestion control
6.0k
views
commented
Jan 30, 2017
Computer Networks
gateit-2005
computer-networks
routing
distance-vector-routing
normal
+
–
1
answer
5
distance vector algo
Consider a network having 6 nodes A, B, C, D, E and F. The measured delay between A to B, A to D and A to C are 4, 5 and 6 respectively. routing table of A using distance vector routing? The vector tables of B, D, C are given as follows A B C D E F Vector table of B = (2 0 4 4 3 2) Vector table of C = (5 4 0 2 7 4) Vector table of D = (5 1 3 0 3 6)
Consider a network having 6 nodes A, B, C, D, E and F. The measureddelay between A to B, A to D and A to C are 4, 5 and 6 respectively. routing table of A using distance ...
1.1k
views
commented
Jan 30, 2017
6
answers
6
GATE CSE 2014 Set 1 | Question: GA-5
The roots of $ax^{2}+bx+c = 0$ are real and positive. $a, b$ and $c$ are real. Then $ax^{2}+b\mid x \mid + c =0$ has no roots $2$ real roots $3$ real roots $4$ real roots
The roots of $ax^{2}+bx+c = 0$ are real and positive. $a, b$ and $c$ are real. Then $ax^{2}+b\mid x \mid + c =0$ has no roots$2$ real roots$3$ real roots$4$ real roots
9.0k
views
commented
Jan 30, 2017
Quantitative Aptitude
gatecse-2014-set1
quantitative-aptitude
quadratic-equations
normal
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–
7
answers
7
GATE IT 2005 | Question: 85b
Consider a simple graph with unit edge costs. Each node in the graph represents a router. Each node maintains a routing table indicating the next hop router to be used to relay a packet to its destination and the cost of the path to the destination through that router. Initially, the ... $(t + 100)$ is : $>100$ but finite $\infty$ $3$ $>3$ and $\leq 100$
Consider a simple graph with unit edge costs. Each node in the graph represents a router. Each node maintains a routing table indicating the next hop router to be used to...
15.0k
views
commented
Jan 30, 2017
Computer Networks
gateit-2005
computer-networks
routing
normal
+
–
3
answers
8
Ace Test Series: Graph Theory - Degree Of Graph
How to PROVE S2 is correct?? Consider the statements $S_1$ ) In any simple graph with more than one vertex, there must exist at-least $2$ vetices of the same degree $S_2$ ) A graph with $13$ vertices, $31$ edges, $3$ vertices of degree $5$ and $7$ ... $S_2$ is false C). $S_1$ is false and $S_2$ is true D). Both $S_1$ and $S_2$ are true
How to PROVE S2 is correct??Consider the statements $S_1$ ) In any simple graph with more than one vertex, there must exist at-least $2$ vetices of the same degree $...
1.3k
views
commented
Jan 26, 2017
Graph Theory
ace-test-series
engineering-mathematics
discrete-mathematics
graph-theory
degree-of-graph
+
–
1
answer
9
Graph Theory Problem-Test Series
A Connected Graph has Cut edge, Then Graph has Cut vertex also. 1. True 2. False Choose Correct One.
A Connected Graph has Cut edge, Then Graph has Cut vertex also.1. True2. FalseChoose Correct One.
4.1k
views
commented
Jan 26, 2017
Graph Theory
graph-theory
engineering-mathematics
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–
0
answers
10
rice theorem problem
L(M) has at most 10 strings We can have Tyes for ϕ and Tno for Σ∗. Hence, L={M∣L(M) has at most 10 strings} is not Turing decidable (not recursive). problem : It should not b Tyes Σ∗ and Tno for ϕ
L(M)has at most 10 stringsWe can have Tyesfor ϕ and Tno for Σ∗. Hence, L={M∣L(M) has at most 10 strings} is not Turing decidable (not recursive). problem :It should...
242
views
asked
Jan 24, 2017
Theory of Computation
rice-theorem
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–
1
answer
11
ace toc 1
259
views
commented
Jan 23, 2017
8
answers
12
GATE CSE 2007 | Question: 53
Consider the following two statements: P: Every regular grammar is LL(1) Q: Every regular set has a LR(1) grammar Which of the following is TRUE? Both P and Q are true P is true and Q is false P is false and Q is true Both P and Q are false
Consider the following two statements:P: Every regular grammar is LL(1)Q: Every regular set has a LR(1) grammarWhich of the following is TRUE?Both P and Q are trueP is tr...
35.8k
views
commented
Jan 23, 2017
Compiler Design
gatecse-2007
compiler-design
grammar
normal
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–
1
answer
13
CONTEXT FREE LANGUAGE
323
views
commented
Jan 23, 2017
2
answers
14
DFA-MINIMIZATION
1.2k
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answered
Jan 23, 2017
1
answer
15
ace : minimum mfa
i think answer b 3..and they give 2?
i think answer b 3..and they give 2?
298
views
commented
Jan 23, 2017
6
answers
16
GATE IT 2006 | Question: 49
Which one of the choices given below would be printed when the following program is executed ? #include <stdio.h> struct test { int i; char *c; }st[] = {5, "become", 4, "better", 6, "jungle", 8, "ancestor", 7, " ... $\text{etter, u, 6, ungle}$ $\text{cetter, k, 6, jungle}$ $\text{etter, u, 8, ncestor}$
Which one of the choices given below would be printed when the following program is executed ?#include <stdio.h struct test { int i; char *c; }st[] = {5, "become", 4, "be...
27.2k
views
commented
Jan 23, 2017
Programming in C
gateit-2006
programming
programming-in-c
normal
structure
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–
1
answer
17
is every recusrive is csl ?
i know every csl is recursive while viceversa is true?
i know every csl is recursive while viceversa is true?
344
views
asked
Jan 23, 2017
1
answer
18
ACE TOC Grand Test-1
383
views
commented
Jan 23, 2017
0
answers
19
intersection between decidable and undecidabe b?
135
views
asked
Jan 23, 2017
2
answers
20
GATE CSE 2006 | Question: 33
Let $L_1$ be a regular language, $L_2$ be a deterministic context-free language and $L_3$ a recursively enumerable, but not recursive, language. Which one of the following statements is false? $L_1 \cap L_2$ is a deterministic CFL $L_3 \cap L_1$ is recursive $L_1 \cup L_2$ is context free $L_1 \cap L_2 \cap L_3$ is recursively enumerable
Let $L_1$ be a regular language, $L_2$ be a deterministic context-free language and $L_3$ a recursively enumerable, but not recursive, language. Which one of the followi...
12.6k
views
commented
Jan 23, 2017
Theory of Computation
gatecse-2006
theory-of-computation
normal
identify-class-language
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–
1
answer
21
can complment of csl is cfl ?
857
views
commented
Jan 23, 2017
1
answer
22
is this transition are right?
278
views
answer selected
Jan 22, 2017
1
answer
23
Test by Bikram | Theory of Computation | Test 1 | Question: 19
Consider the following CFG : $S \rightarrow AB$ $A \rightarrow BC \mid a$ $B \rightarrow CC \mid b$ $C \rightarrow a \mid AB$ The Rank of Variable $A$ is: $2$ $3$ $4$ not possible to define
Consider the following CFG :$S \rightarrow AB$$A \rightarrow BC \mid a$$B \rightarrow CC \mid b$$C \rightarrow a \mid AB$The Rank of Variable $A$ is:$2$$3$$4$not possible...
938
views
commented
Jan 22, 2017
Theory of Computation
tbb-toc-1
+
–
3
answers
24
Test by Bikram | Theory of Computation | Test 1 | Question: 15
Which one is a correct statement in terms of accepting powers of DPDA and NPDA? DPDA and NPDA are equal DPDA and NPDA are not comparable DPDA < NPDA DPDA > NPDA
Which one is a correct statement in terms of accepting powers of DPDA and NPDA?DPDA and NPDA are equalDPDA and NPDA are not comparableDPDA < NPDADPDA NPDA
309
views
answered
Jan 22, 2017
Theory of Computation
tbb-toc-1
+
–
1
answer
25
Test by Bikram | Theory of Computation | Test 1 | Question: 6
If L is any regular language accepted by Minimal Finite Automaton with $n$ states, then the number of states in Minimal Finite Automaton to accept Prefix(L) is: $n$ $n+1$ $n+2$ $2n$
If L is any regular language accepted by Minimal Finite Automaton with $n$ states, then the number of states in Minimal Finite Automaton to accept Prefix(L) is:$n$$n+1$$n...
1.2k
views
commented
Jan 22, 2017
Theory of Computation
tbb-toc-1
minimal-state-automata
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–
1
answer
26
Number of states in DFA divisible by 8
Number of states for DFA which is divisble by 8 , I mostly try to identify by using number of distinct states. In this case , it would be 8 ; but minimized dfa would be less ? I read somewhere , the unique states sould be 4 and so ... but is this right ? And can someone explain , what is meant by unique states ? Do we have fixed formula for such problems ?
Number of states for DFA which is divisble by 8 , I mostly try to identify by using number of distinct states.In this case , it would be 8 ; but minimized dfa would be le...
2.8k
views
commented
Jan 22, 2017
Theory of Computation
finite-automata
number-of-dfa
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–
1
answer
27
is regular grammar does not generate empty string?
412
views
commented
Jan 22, 2017
4
answers
28
GATE CSE 2004 | Question: 76
In an $M \times N$ matrix all non-zero entries are covered in $a$ rows and $b$ columns. Then the maximum number of non-zero entries, such that no two are on the same row or column, is $\leq a +b$ $\leq \max(a, b)$ $\leq \min(M-a, N-b)$ $\leq \min(a, b)$
In an $M \times N$ matrix all non-zero entries are covered in $a$ rows and $b$ columns. Then the maximum number of non-zero entries, such that no two are on the same row ...
9.7k
views
commented
Jan 21, 2017
Linear Algebra
gatecse-2004
linear-algebra
normal
matrix
+
–
4
answers
29
GATE CSE 2014 Set 2 | Question: 2
Each of the nine words in the sentence $\text{"The quick brown fox jumps over the lazy dog”}$ is written on a separate piece of paper. These nine pieces of paper are kept in a box. One of the pieces is drawn at random from the box. The $\text{expected}$ length of the word drawn is _____________. (The answer should be rounded to one decimal place.)
Each of the nine words in the sentence $\text{"The quick brown fox jumps over the lazy dog”}$ is written on a separate piece of paper. These nine pieces of paper are ke...
6.5k
views
commented
Jan 21, 2017
Probability
gatecse-2014-set2
probability
expectation
numerical-answers
easy
+
–
7
answers
30
GATE CSE 1997 | Question: 4.5
A binary search tree contains the value $1, 2, 3, 4, 5, 6, 7, 8$. The tree is traversed in pre-order and the values are printed out. Which of the following sequences is a valid output? $5 \ 3 \ 1 \ 2 \ 4 \ 7 \ 8 \ 6$ $5 \ 3 \ 1 \ 2 \ 6 \ 4 \ 8 \ 7$ $5 \ 3 \ 2 \ 4 \ 1 \ 6 \ 7 \ 8$ $5 \ 3 \ 1 \ 2 \ 4 \ 7 \ 6 \ 8$
A binary search tree contains the value $1, 2, 3, 4, 5, 6, 7, 8$. The tree is traversed in pre-order and the values are printed out. Which of the following sequences is a...
37.5k
views
commented
Jan 20, 2017
DS
gate1997
data-structures
binary-search-tree
normal
+
–
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