Recent questions tagged gatecse-2011 / GATE Overflow for GATE CSE

40 votes

6 answers

1

GATE CSE 2011 | Question: 55
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 i-j\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 $11$ $25$ $31$ $41$

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 i-j\mid \leq 2$. Each ...

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11.7k views

go_editor asked Apr 21, 2016

18 votes

2 answers

2

GATE CSE 2011 | Question: 49
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 $\text{foo(513, 2)}$? $9$ $8$ $5$ $2$

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...

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5.5k views

go_editor asked Apr 21, 2016

25 votes

2 answers

3

GATE CSE 2011 | Question: 51
Consider the following circuit involving three D-type flip-flops used in a certain type of counter configuration. If all the flip-flops were reset to $0$ at power on, what is the total number of distinct outputs (states) represented by $PQR$ generated by the counter? $3$ $4$ $5$ $6$

Consider the following circuit involving three D-type flip-flops used in a certain type of counter configuration.If all the flip-flops were reset to $0$ at power on, what...

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7.5k views

go_editor asked Apr 21, 2016

57 votes

6 answers

4

GATE CSE 2011 | Question: 53
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: $(0, 1, 7, 8, 4)$ ... the NEXT ROUND of update, what will be the cost to $N1$ in the distance vector of $N3$ ? $3$ $9$ $10$ $\infty$

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 distanc...

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23.7k views

go_editor asked Apr 21, 2016

34 votes

2 answers

5

GATE CSE 2011 | Question: 24
Let $P$ be a regular language and $Q$ be a context-free 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? $P \cap Q$ $P-Q$ $\Sigma^*-P$ $\Sigma^*-Q$

Let $P$ be a regular language and $Q$ be a context-free language such that $Q \subseteq P$. (For example, let $P$ be the language represented by the regular expression $p...

akash

9.9k views

akash asked Oct 29, 2014

28 votes

4 answers

6

GATE CSE 2011 | Question: 65
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

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 mixt...

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11.1k views

go_editor asked Sep 29, 2014

30 votes

5 answers

7

GATE CSE 2011 | Question: 64
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 ... of trucks required so that there will be no pending order at the end of $5^{th}$ day? $4$ $5$ $6$ $7$

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...

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10.0k views

go_editor asked Sep 29, 2014

20 votes

2 answers

8

GATE CSE 2011 | Question: 63
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 $(V+F)$? $5$ $4$ $7$ $6$

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...

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4.9k views

go_editor asked Sep 29, 2014

35 votes

3 answers

9

GATE CSE 2011 | Question: 62
$P, Q, R$ 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 ... against the most dangerous microbe. Which microbe should the company target in its first attempt? $P$ $Q$ $R$ $S$

$P, Q, R$ 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 gro...

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7.9k views

go_editor asked Sep 29, 2014

10 votes

2 answers

10

GATE CSE 2011 | Question: 61
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 ... stages are passed through in the healing process what the leading causes of death are how to give support to a grieving friend

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 part...

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3.0k views

go_editor asked Sep 29, 2014

12 votes

4 answers

11

GATE CSE 2011 | Question: 60
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

Choose the word from the options given below that is most nearly opposite in the meaning to the given wordAmalgamatemergesplitcollectseparate

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3.2k views

go_editor asked Sep 29, 2014

14 votes

2 answers

12

GATE CSE 2011 | Question: 59
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

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 canno...

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3.2k views

go_editor asked Sep 29, 2014

14 votes

2 answers

13

GATE CSE 2011 | Question: 58
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

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...

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4.9k views

go_editor asked Sep 29, 2014

20 votes

3 answers

14

GATE CSE 2011 | Question: 57
If $\log (\text{P}) = (1/2)\log (\text{Q}) = (1/3)\log (\text{R})$, then which of the following options is TRUE? $\text{P}^2 = \text{Q}^3\text{R}^2$ $\text{Q}^2=\text{P}\text{R}$ $\text{Q}^2 = \text{R}^3\text{P}$ $\text{R}=\text{P}^2\text{Q}^2$

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}\te...

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5.2k views

go_editor asked Sep 29, 2014

9 votes

2 answers

15

GATE CSE 2011 | Question: 56
Which of the following options is the closest in the meaning to the word below: Inexplicable Incomprehensible Indelible Inextricable Infallible

Which of the following options is the closest in the meaning to the word below:Inexplicable Incomprehensible Indelible Inextricable Infallible

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3.2k views

go_editor asked Sep 29, 2014

52 votes

10 answers

16

GATE CSE 2011 | Question: 54
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 i-j\mid \leq 2$. Each edge $(v_i,v_j)$ is assigned a weight $i+j$. A sample graph with $n=4$ is shown below. ... spanning tree (MST) of such a graph with $n$ nodes? $\frac{1}{12} (11n^2 - 5 n)$ $n^2-n+1$ $6n-11$ $2n+1$

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 i-j\mid \leq 2$. Each ...

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17.2k views

go_editor asked Sep 29, 2014

48 votes

4 answers

17

GATE CSE 2011 | Question: 52
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: $(7, 6, 0, 2, 6)$ ... $N3$? $(3, 2, 0, 2, 5)$ $(3, 2, 0, 2, 6)$ $(7, 2, 0, 2, 5)$ $(7, 2, 0, 2, 6)$

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 distanc...

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23.8k views

go_editor asked Sep 29, 2014

25 votes

4 answers

18

GATE CSE 2011 | Question: 50
Consider the following circuit involving three D-type flip-flops 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? $000$ $001$ $010$ $011$

Consider the following circuit involving three D-type flip-flops used in a certain type of counter configuration.If at some instance prior to the occurrence of the clock ...

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11.2k views

go_editor asked Sep 29, 2014

18 votes

3 answers

19

GATE CSE 2011 | Question: 48
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 $\text{foo(345, 10)}$? $345$ $12$ $5$ $3$

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...

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9.0k views

go_editor asked Sep 29, 2014

4 votes

1 answer

20

GATE CSE 2011 | Question: 47
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 ... ? (A) T1, T2, T3, T6 (B) T1, T3, T4, T5 (C) T2, T4, T5, T6 (D) T2, T3, T4, T5

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 ...

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3.2k views

go_editor asked Sep 29, 2014

37 votes

1 answer

21

GATE CSE 2011 | Question: 46
Database table by name $\text{Loan_Records}$ ... Bank_Manager FROM Loan_Records) AS S NATURAL JOIN (SELECT Bank_Manager, Loan_Amount FROM Loan_Records) AS T ); $3$ $9$ $5$ $6$

Database table by name $\text{Loan_Records}$ is given below.$$\begin{array}{|c|c|c|} \hline \textbf {Borrower} & \textbf {Bank_Manager} &\textbf {Loan_Amount} \\\hline \...

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12.8k views

go_editor asked Sep 29, 2014

36 votes

6 answers

22

GATE CSE 2011 | Question: 45
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 $D$?

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 $\tex...

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10.8k views

go_editor asked Sep 29, 2014

40 votes

1 answer

23

GATE CSE 2011 | Question: 44
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 ... start of the block may be neglected.) $0.50 \ s$ $1.50 \ s$ $1.25 \ s$ $1.00 \ s$

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...

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13.3k views

go_editor asked Sep 29, 2014

32 votes

3 answers

24

GATE CSE 2011 | Question: 43
An $8\text{KB}$ direct-mapped write-back cache is organized as multiple blocks, each size of $32\text{-bytes}$. The processor generates $32\text{-bit}$ addresses. The cache controller contains the tag information for each cache block comprising of the ... the cache controller to store meta-data (tags) for the cache? $4864$ bits $6144$ bits $6656$ bits $5376$ bits

An $8\text{KB}$ direct-mapped write-back cache is organized as multiple blocks, each size of $32\text{-bytes}$. The processor generates $32\text{-bit}$ addresses. The cac...

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12.4k views

go_editor asked Sep 29, 2014

62 votes

2 answers

25

GATE CSE 2011 | Question: 42
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 $L$? $k+1$ $n+1$ $2^{n+1}$ $2^{k+1}$

Definition of a language $L$ with alphabet $\{a\}$ is given as following.$$ L = \left\{a^{nk} \mid k 0, \:\: and \:\: n \text{ is a positive integer constant} \right\}$$...

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17.5k views

go_editor asked Sep 29, 2014

42 votes

2 answers

26

GATE CSE 2011 | Question: 41
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 ... under ideal conditions when compared to the corresponding non-pipeline implementation? $4.0$ $2.5$ $1.1$ $3.0$

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 stag...

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13.7k views

go_editor asked Sep 29, 2014

25 votes

5 answers

27

GATE CSE 2011 | Question: 40
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? $1, 4, 3$ $3, 7, 3$ $7, 3, 2$ $1, 2, 3$

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...

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5.2k views

go_editor asked Sep 29, 2014

40 votes

6 answers

28

GATE CSE 2011 | Question: 39
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 $Q2$ ... queries Hashing will outperform ordered indexing on $Q1$, but not on $Q2$ Hashing will outperform ordered indexing on $Q2$, but not on $Q1$

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...

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9.7k views

go_editor asked Sep 29, 2014

35 votes

4 answers

29

GATE CSE 2011 | Question: 38
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 ... $t=80$, then the minimum number of scalar multiplications needed is $248000$ $44000$ $19000$ $25000$

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 d...

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15.6k views

go_editor asked Sep 29, 2014

46 votes

5 answers

30

GATE CSE 2011 | Question: 37
Which of the given options provides the increasing order of asymptotic complexity of functions $f_1, f_2, f_3$ and $f_4$? $f_1(n) = 2^n$ $f_2(n) = n^{3/2}$ $f_3(n) = n \log_2 n$ $f_4(n) = n^{\log_2 n}$ $f_3, f_2, f_4, f_1$ $f_3, f_2, f_1, f_4$ $f_2, f_3, f_1, f_4$ $f_2, f_3, f_4, f_1$

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_...

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18.0k views

go_editor asked Sep 29, 2014

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title	title:apple
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force match	+apple
views	views:100
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