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Use the google search bar on side panel. It searches through all previous GATE/other questions. For hardcopy of previous year questions please see
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Recent questions tagged gate2011
+23
votes
3
answers
1
GATE201155
An undirected graph $G(V,E)$ contains $n \: (n>2)$ nodes named $v_1,v_2, \dots, v_n$. Two nodes $v_i, v_j$ are connected if and only if $ 0 < \mid ij\mid \leq 2$. Each edge $(v_i,v_j)$ is assigned a weight $i+j$. A sample graph with $n=4$ is shown below. The length of the path from $v_5$ to $v_6$ in the MST of previous question with $n=10$ is $11$ $25$ $31$ $41$
asked
Apr 21, 2016
in
Algorithms
by
jothee
Veteran
(
103k
points)

2.1k
views
gate2011
algorithms
graphalgorithms
spanningtree
normal
+10
votes
2
answers
2
GATE201149
Consider the following recursive C function that takes two arguments. unsigned int foo(unsigned int n, unsigned int r) { if (n>0) return ((n%r) + foo(n/r, r)); else return 0; } What is the return value of the function $\text{foo}$ when it is called as $\text{foo(513, 2)}$? $9$ $8$ $5$ $2$
asked
Apr 21, 2016
in
Algorithms
by
jothee
Veteran
(
103k
points)

822
views
gate2011
algorithms
recursion
identifyfunction
normal
+14
votes
2
answers
3
GATE201151
Consider the following circuit involving three Dtype flipflops used in a certain type of counter configuration. If all the flipflops were reset to $0$ at power on, what is the total number of distinct outputs (states) represented by $PQR$ generated by the counter? $3$ $4$ $5$ $6$
asked
Apr 21, 2016
in
Digital Logic
by
jothee
Veteran
(
103k
points)

1.3k
views
gate2011
digitallogic
circuitoutput
normal
+26
votes
4
answers
4
GATE201153
Consider a network with five nodes, $N1$ to $N5$, as shown as below. The network uses a Distance Vector Routing protocol. Once the routes have been stabilized, the distance vectors at different nodes are as follows. N1: $(0, 1, 7, 8, 4)$ N2: $(1, 0, 6, 7, ... , $\infty$. After the NEXT ROUND of update, what will be the cost to $N1$ in the distance vector of $N3$ ? $3$ $9$ $10$ $\infty$
asked
Apr 21, 2016
in
Computer Networks
by
jothee
Veteran
(
103k
points)

3.4k
views
gate2011
computernetworks
routing
distancevectorrouting
normal
+20
votes
2
answers
5
GATE201124
Let $P$ be a regular language and $Q$ be a contextfree language such that $Q \subseteq P$. (For example, let $P$ be the language represented by the regular expression $p^*q^*$ and $Q$ be $\{p^nq^n \mid n \in N\})$. Then which of the following is ALWAYS regular? $P \cap Q$ $PQ$ $\Sigma^*P$ $\Sigma^*Q$
asked
Oct 30, 2014
in
Theory of Computation
by
akash
Active
(
1.1k
points)

1.6k
views
gate2011
theoryofcomputation
easy
regularlanguages
+12
votes
2
answers
6
GATE201165
A container originally contains $10$ litres of pure spirit. From this container, $1$ litre of spirit replaced with $1$ litre of water. Subsequently, $1$ litre of the mixture is again replaced with $1$ litre of water and this process is repeated one more time. How much spirit is now left in the container? $7.58$ litres $7.84$ litres $7$ litres $7.29$ litres
asked
Sep 29, 2014
in
Numerical Ability
by
jothee
Veteran
(
103k
points)

2.4k
views
gate2011
numericalability
normal
numericalcomputation
+12
votes
3
answers
7
GATE201164
A transporter receives the same number of orders each day. Currently, he has some pending orders (backlog) to be shipped. If he uses $7$ trucks, then at the end of the $4^{th}$ day he can clear all the orders. Alternatively, if he uses only $3$ trucks, then all ... is the minimum number of trucks required so that there will be no pending order at the end of $5^{th}$ day? $4$ $5$ $6$ $7$
asked
Sep 29, 2014
in
Numerical Ability
by
jothee
Veteran
(
103k
points)

2.1k
views
gate2011
numericalability
normal
worktime
+6
votes
2
answers
8
GATE201163
The variable cost $(V)$ of manufacturing a product varies according to the equation $V=4q$, where $q$ is the quantity produced. The fixed cost $(F)$ of production of same product reduces with $q$ according to the equation $F=\dfrac{100}{q}$. How many units should be produced to minimize the total cost $(V+F)$? $5$ $4$ $7$ $6$
asked
Sep 29, 2014
in
Numerical Ability
by
jothee
Veteran
(
103k
points)

1.2k
views
gate2011
numericalability
costmarketprice
normal
+15
votes
4
answers
9
GATE201162
$P, Q, R$ and $S$ are four types of dangerous microbes recently found in a human habitat. The area of each circle with its diameter printed in brackets represents the growth of a single microbe surviving human immunity system within $24$ hours of entering ... of a vaccine against the most dangerous microbe. Which microbe should the company target in its first attempt? $P$ $Q$ $R$ $S$
asked
Sep 29, 2014
in
Numerical Ability
by
jothee
Veteran
(
103k
points)

1.7k
views
gate2011
numericalability
datainterpretation
normal
+4
votes
1
answer
10
GATE201161
Few school curricula include a unit on how to deal with bereavement and grief, and yet all students at some point in their lives suffer from losses through death and parting. Based on the above passage which topic would not be included in a unit on ... emotional stages are passed through in the healing process what the leading causes of death are how to give support to a grieving friend
asked
Sep 29, 2014
in
Verbal Ability
by
jothee
Veteran
(
103k
points)

530
views
gate2011
verbalability
passagereading
normal
+4
votes
4
answers
11
GATE201160
Choose the word from the options given below that is most nearly opposite in the meaning to the given word Amalgamate merge split collect separate
asked
Sep 29, 2014
in
Verbal Ability
by
jothee
Veteran
(
103k
points)

541
views
gate2011
verbalability
opposite
normal
+6
votes
2
answers
12
GATE201159
Choose the most appropriate word from the options given below to complete the following sentence. If you are trying to make a strong impression on your audience, you cannot do so by being understated, tentative or ________. hyperbolic restrained argumentative indifferent
asked
Sep 29, 2014
in
Verbal Ability
by
jothee
Veteran
(
103k
points)

567
views
gate2011
verbalability
mostappropriateword
normal
+3
votes
2
answers
13
GATE201158
Choose the most appropriate word(s) from the options given below to complete the following sentence. I contemplated _________ Singapore for my vacation but decided against it. to visit having to visit visiting for a visit
asked
Sep 29, 2014
in
Verbal Ability
by
jothee
Veteran
(
103k
points)

735
views
gate2011
verbalability
mostappropriateword
easy
+8
votes
1
answer
14
GATE201157
If $\log (\text{P}) = (1/2)\log (\text{Q}) = (1/3)\log (\text{R})$, then which of the following options is TRUE? $\text{P}^2 = \text{Q}^3\text{R}^2$ $\text{Q}^2=\text{P}\text{R}$ $\text{Q}^2 = \text{R}^3\text{P}$ $\text{R}=\text{P}^2\text{Q}^2$
asked
Sep 29, 2014
in
Numerical Ability
by
jothee
Veteran
(
103k
points)

899
views
gate2011
numericalability
normal
numericalcomputation
+2
votes
2
answers
15
GATE201156
Which of the following options is the closest in the meaning to the word below: Inexplicable Incomprehensible Indelible Inextricable Infallible
asked
Sep 29, 2014
in
Verbal Ability
by
jothee
Veteran
(
103k
points)

526
views
gate2011
verbalability
meaning
normal
+30
votes
6
answers
16
GATE201154
An undirected graph $G(V,E)$ contains $n \: (n>2)$ nodes named $v_1,v_2, \dots, v_n$. Two nodes $v_i, v_j$ are connected if and only if $ 0 < \mid ij\mid \leq 2$. Each edge $(v_i,v_j)$ is assigned a weight $i+j$. A sample graph with $n=4$ is shown below. What ... the minimum spanning tree (MST) of such a graph with $n$ nodes? $\frac{1}{12} (11n^2  5 n)$ $n^2n+1$ $6n11$ $2n+1$
asked
Sep 29, 2014
in
Algorithms
by
jothee
Veteran
(
103k
points)

3.5k
views
gate2011
algorithms
graphalgorithms
spanningtree
normal
+29
votes
3
answers
17
GATE201152
Consider a network with five nodes, $N1$ to $N5$, as shown as below. The network uses a Distance Vector Routing protocol. Once the routes have been stabilized, the distance vectors at different nodes are as follows. N1: $(0, 1, 7, 8, 4)$ N2: $(1, 0, 6, 7, 3)$ N3: $(7, 6, 0, 2, 6)$ N4: $(8, 7, 2, 0, ... node, $N3$? $(3, 2, 0, 2, 5)$ $(3, 2, 0, 2, 6)$ $(7, 2, 0, 2, 5)$ $(7, 2, 0, 2, 6)$
asked
Sep 29, 2014
in
Computer Networks
by
jothee
Veteran
(
103k
points)

3.9k
views
gate2011
computernetworks
routing
distancevectorrouting
normal
+12
votes
3
answers
18
GATE201150
Consider the following circuit involving three Dtype flipflops used in a certain type of counter configuration. If at some instance prior to the occurrence of the clock edge, $P, Q$ and $R$ have a value $0$, $1$ and $0$ respectively, what shall be the value of $PQR$ after the clock edge? $000$ $001$ $010$ $011$
asked
Sep 29, 2014
in
Digital Logic
by
jothee
Veteran
(
103k
points)

1.9k
views
gate2011
digitallogic
circuitoutput
normal
+11
votes
3
answers
19
GATE201148
Consider the following recursive C function that takes two arguments. unsigned int foo(unsigned int n, unsigned int r) { if (n>0) return ((n%r) + foo(n/r, r)); else return 0; } What is the return value of the function $\text{foo}$ when it is called as $\text{foo(345, 10)}$? $345$ $12$ $5$ $3$
asked
Sep 29, 2014
in
Algorithms
by
jothee
Veteran
(
103k
points)

1.2k
views
gate2011
algorithms
recursion
identifyfunction
normal
+4
votes
1
answer
20
GATE201147
The following is the comment written for a C function. /* This function computes the roots of a quadratic equation a.x^2 + b.x + c = 0. The function stores two real roots in *root1 and *root2 and returns the status of validity of roots. It handles four different kinds of cases. (i) When coefficient ... testing? (A) T1, T2, T3, T6 (B) T1, T3, T4, T5 (C) T2, T4, T5, T6 (D) T2, T3, T4, T5
asked
Sep 29, 2014
in
IS&Software Engineering
by
jothee
Veteran
(
103k
points)

547
views
gate2011
is&softwareengineering
testcases
normal
+15
votes
1
answer
21
GATE201146
Database table by name $\text{Loan_Records}$ is given below. Borrower Bank_Manager Loan_Amount Ramesh Sunderajan 10000.00 Suresh Ramgopal 5000.00 Mahesh Sunderajan 7000.00 What is the output of the following SQL query? SELECT count(*) FROM ( SELECT Borrower, Bank_Manager FROM Loan_Records) AS S NATURAL JOIN (SELECT Bank_Manager, Loan_Amount FROM Loan_Records) AS T ); 3 9 5 6
asked
Sep 29, 2014
in
Databases
by
jothee
Veteran
(
103k
points)

1.7k
views
gate2011
databases
sql
normal
+16
votes
2
answers
22
GATE201145
A deterministic finite automaton ($\text{DFA}$) $D$ with alphabet $\Sigma = \{a, b\}$ is given below. Which of the following finite state machines is a valid minimal $\text{DFA}$ which accepts the same languages as $D$?
asked
Sep 29, 2014
in
Theory of Computation
by
jothee
Veteran
(
103k
points)

1.3k
views
gate2011
theoryofcomputation
finiteautomata
easy
+26
votes
1
answer
23
GATE201144
An application loads $100$ libraries at startup. Loading each library requires exactly one disk access. The seek time of the disk to a random location is given as $10$ ms. Rotational speed of disk is $6000$ rpm. If all $100$ libraries are loaded from random locations on the disk, how ... positioned at the start of the block may be neglected.) $0.50 \ s$ $1.50 \ s$ $1.25 \ s$ $1.00 \ s$
asked
Sep 29, 2014
in
Operating System
by
jothee
Veteran
(
103k
points)

2.6k
views
gate2011
operatingsystem
disks
normal
+11
votes
2
answers
24
GATE201143
An $8KB$ directmapped writeback cache is organized as multiple blocks, each size of $32$$bytes$. The processor generates $32$$bit$ addresses. The cache controller contains the tag information for each cache block comprising of the following. $1$ valid bit $1$ ... at the cache controller to store metadata (tags) for the cache? $4864$ $bits$ $6144$ $bits$ $6656$ $bits$ $5376$ $bits$
asked
Sep 29, 2014
in
CO & Architecture
by
jothee
Veteran
(
103k
points)

2.5k
views
gate2011
coandarchitecture
cachememory
normal
+30
votes
1
answer
25
GATE201142
Definition of a language $L$ with alphabet $\{a\}$ is given as following. $$ L = \left\{a^{nk} \mid k > 0, \:\: and \:\: n \text{ is a positive integer constant} \right\}$$ What is the minimum number of states needed in a DFA to recognize $L$? $k+1$ $n+1$ $2^{n+1}$ $2^{k+1}$
asked
Sep 29, 2014
in
Theory of Computation
by
jothee
Veteran
(
103k
points)

2.6k
views
gate2011
theoryofcomputation
finiteautomata
normal
+18
votes
2
answers
26
GATE201141
Consider an instruction pipeline with four stages $\text{(S1, S2, S3 and S4)}$ each with combinational circuit only. The pipeline registers are required between each stage and at the end of the last stage. Delays for the stages and for the pipeline ... pipeline in steady state under ideal conditions when compared to the corresponding nonpipeline implementation? $4.0$ $2.5$ $1.1$ $3.0$
asked
Sep 29, 2014
in
CO & Architecture
by
jothee
Veteran
(
103k
points)

2.8k
views
gate2011
coandarchitecture
pipelining
normal
+13
votes
4
answers
27
GATE201140
Consider the matrix as given below. $$\begin{bmatrix} 1 & 2 & 3 \\ 0 & 4 & 7 \\ 0 & 0 & 3\end{bmatrix}$$ Which one of the following options provides the CORRECT values of the eigenvalues of the matrix? $1, 4, 3$ $3, 7, 3$ $7, 3, 2$ $1, 2, 3$
asked
Sep 29, 2014
in
Linear Algebra
by
jothee
Veteran
(
103k
points)

779
views
gate2011
linearalgebra
eigenvalue
easy
+16
votes
3
answers
28
GATE201139
Consider a relational table $r$ with sufficient number of records, having attributes $A_1, A_2, \dots ,A_n$ and let $1 \leq p \leq n$. Two queries $Q1$ and $Q2$ are given below. $Q1: \pi_{A_1, \dots ,A_p} \left(\sigma_{A_p=c}\left(r\ ... for both queries Hashing will outperform ordered indexing on $Q1$, but not on $Q2$ Hashing will outperform ordered indexing on $Q2$, but not on $Q1$
asked
Sep 29, 2014
in
Databases
by
jothee
Veteran
(
103k
points)

1.8k
views
gate2011
databases
indexing
normal
+19
votes
2
answers
29
GATE201138
Four Matrices $M_1, M_2, M_3$ and $M_4$ of dimensions $ p \times q, \:\:q \times r, \:\:r \times s$ and $s \times t$ respectively can be multiplied in several ways with different number of total scalar multiplications. For example when multiplied as $(( ... $p=10, q=100, r=20, s=5$ and $t=80$, then the minimum number of scalar multiplications needed is $248000$ $44000$ $19000$ $25000$
asked
Sep 29, 2014
in
Algorithms
by
jothee
Veteran
(
103k
points)

2.8k
views
gate2011
algorithms
dynamicprogramming
normal
+21
votes
3
answers
30
GATE201137
Which of the given options provides the increasing order of asymptotic complexity of functions $f_1, f_2, f_3$ and $f_4$? $f_1(n) = 2^n$ $f_2(n) = n^{3/2}$ $f_3(n) = n \log_2 n$ $f_4(n) = n^{\log_2 n}$ $f_3, f_2, f_4, f_1$ $f_3, f_2, f_1, f_4$ $f_2, f_3, f_1, f_4$ $f_2, f_3, f_4, f_1$
asked
Sep 29, 2014
in
Algorithms
by
jothee
Veteran
(
103k
points)

1.5k
views
gate2011
algorithms
asymptoticnotations
normal
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