Recent questions tagged gate2007-it - GATE Overflow

+31 votes

5 answers

1

GATE2007-IT-85
Consider the $B^{+}$ tree in the adjoining figure, where each node has at most two keys and three links. Now the key $K50$ is deleted from the $B^+$ tree resulting after the two insertions made earlier. Consider the following statements about the $B^+$ tree ... i) and (ii) are true Statements (ii) and (iii) are true Statements (iii) and (i) are true All the statements are false

asked Oct 31, 2014 in Databases by Ishrat Jahan | 5.3k views

+33 votes

4 answers

2

GATE2007-IT-84
Consider the $B^+$ tree in the adjoining figure, where each node has at most two keys and three links. Keys $K15$ and then $K25$ are inserted into this tree in that order. Exactly how many of the following nodes (disregarding the links) will be present in the tree after the two insertions? $1$ $2$ $3$ $4$

asked Oct 31, 2014 in Databases by Ishrat Jahan | 5.7k views

+64 votes

12 answers

3

GATE2007-IT-83
The head of a hard disk serves requests following the shortest seek time first (SSTF) policy. What is the maximum cardinality of the request set, so that the head changes its direction after servicing every request if the total number of tracks are $2048$ and the head can start from any track? $9$ $10$ $11$ $12$

asked Oct 31, 2014 in Operating System by Ishrat Jahan | 8.3k views

+23 votes

1 answer

4

GATE2007-IT-82
The head of a hard disk serves requests following the shortest seek time first (SSTF) policy. The head is initially positioned at track number $180$. Which of the request sets will cause the head to change its direction after servicing every request assuming that the head does not change ... $10, 139, 169, 178, 181, 184, 201, 265$ $10, 138, 170, 178, 181, 185, 200, 265$

asked Oct 31, 2014 in Operating System by Ishrat Jahan | 2k views

+25 votes

5 answers

5

GATE2007-IT-81
Let $P_1, P_2,\dots , P_n $be $n$ points in the $xy$-plane such that no three of them are collinear. For every pair of points $P_i$ and $P_j$, let $L_{ij}$ be the line passing through them. Let $L_{ab}$ be the line with the steepest gradient among all $n(n -1)/2$ ... $P_b$ is $\Theta\left(n\right)$ $\Theta\left(n\log n\right)$ $\Theta\left(n\log^2 n\right)$ $\Theta\left(n^2\right)$

asked Oct 31, 2014 in Algorithms by Ishrat Jahan | 2.1k views

+10 votes

5 answers

6

GATE2007-IT-80
Let $P_{1},P_{2},\ldots,P_{n}$ be $n$ points in the $xy-$plane such that no three of them are collinear. For every pair of points $P_{i}$ and $P_{j}$, let $L_{ij}$ be the line passing through them. Let $L_{ab}$ be the line with the ... largest or the smallest $y$-coordinate among all the points The difference between $x$-coordinates $P_{a}$ and $P_{b}$ is minimum None of the above

asked Oct 31, 2014 in Linear Algebra by Ishrat Jahan | 1.4k views

+19 votes

2 answers

7

GATE2007-IT-79
Consider the following expression $a\bar d + \bar a \bar c + b\bar cd$ Which of the following expressions does not correspond to the Karnaugh Map obtained for the given expression? $\bar c \bar d+ a\bar d + ab\bar c + \bar a \bar cd$ ... $\bar b\bar c \bar d + ac\bar d + \bar a \bar c + ab\bar c$

asked Oct 31, 2014 in Digital Logic by Ishrat Jahan | 1.7k views

+23 votes

2 answers

8

GATE2007-IT-78
Consider the following expression $a\bar d + \bar a\bar c + b\bar cd$ Which of the following Karnaugh Maps correctly represents the expression?

asked Oct 31, 2014 in Digital Logic by Ishrat Jahan | 1.6k views

+4 votes

1 answer

9

GATE2007-IT-77
Consider the sequence $\left \langle x_n \right \rangle,\; n \geq 0$ defined by the recurrence relation $x_{n + 1} = c \cdot (x_n)^2 - 2$, where $c > 0$. For which of the following values of $c$, does there exist a non-empty open interval $(a, b)$ such that the sequence $x_n$ ... $0.25$ $0.35$ $0.45$ $0.5$ i only i and ii only i, ii and iii only i, ii, iii and iv

asked Oct 31, 2014 in Numerical Methods by Ishrat Jahan | 619 views

+18 votes

4 answers

10

GATE2007-IT-76
Consider the sequence $\langle x_n \rangle , \: n \geq 0$ defined by the recurrence relation $x_{n+1} = c . x^2_n -2$, where $c > 0$. Suppose there exists a non-empty, open interval $(a, b)$ such that for all $x_0$ satisfying $a < x_0 < b$, the sequence converges ... sequence converges to the value? $\frac{1+\sqrt{1+8c}}{2c}$ $\frac{1-\sqrt{1+8c}}{2c}$ $2$ $\frac{2}{2c-1}$

asked Oct 31, 2014 in Combinatory by Ishrat Jahan | 1.7k views

0 votes

2 answers

11

GATE2007-IT-75
Consider a token ring topology with N stations (numbered 1 to N) running token ring protocol where the stations are equally spaced. When a station gets the token it is allowed to send one frame of fixed size. Ring latency is tp, while the transmission time of a frame is tt. All other ... utilization of the token ring when tt = 5 ms, tp = 3 ms, N = 15 is: 0.545 0.655 0.9375 0.961

asked Oct 31, 2014 in Computer Networks by Ishrat Jahan | 868 views

0 votes

2 answers

12

GATE2007-IT-74
Consider a token ring topology with N stations (numbered 1 to N) running token ring protocol where the stations are equally spaced. When a station gets the token it is allowed to send one frame of fixed size. Ring latency is tp, while the transmission time of a frame is tt. All other ... maximum utilization of the token ring when tt =3 ms, tp = 5 ms, N = 10 is 0.545 0.6 0.857 0.961

asked Oct 31, 2014 in Computer Networks by Ishrat Jahan | 1.4k views

+23 votes

7 answers

13

GATE2007-IT-73
Consider the regular expression $R = (a + b)^* \ (aa + bb) \ (a + b)^*$ Which one of the regular expressions given below defines the same language as defined by the regular expression $R$ ? $(a(ba)^* + b(ab)^*)(a + b)^+$ $(a(ba)^* + b(ab)^*)^*(a + b)^*$ $(a(ba)^* (a + bb) + b(ab)^*(b + aa))(a + b)^*$ $(a(ba)^* (a + bb) + b(ab)^*(b + aa))(a + b)^+$

asked Oct 31, 2014 in Theory of Computation by Ishrat Jahan | 4.1k views

+31 votes

7 answers

14

GATE2007-IT-72
Consider the regular expression $R = (a + b)^* (aa + bb) (a + b)^*$ Which deterministic finite automaton accepts the language represented by the regular expression $R$?

asked Oct 31, 2014 in Theory of Computation by Ishrat Jahan | 2.5k views

+33 votes

3 answers

15

GATE2007-IT-71
Consider the regular expression $R = (a + b)^* (aa + bb) (a + b)^*$ Which of the following non-deterministic finite automata recognizes the language defined by the regular expression $R$? Edges labeled $\lambda $ denote transitions on the empty string.

asked Oct 31, 2014 in Theory of Computation by Ishrat Jahan | 3.1k views

+22 votes

3 answers

16

GATE2007-IT-70
You are given the following four bytes : 10100011 00110111 11101001 10101011 Which of the following are substrings of the base $64$ encoding of the above four bytes? $\text{zdp}$ $\text{fpq}$ $\text{qwA}$ $\text{oze}$

asked Oct 30, 2014 in Computer Networks by Ishrat Jahan | 6.5k views

+20 votes

2 answers

17

GATE2007-IT-69
Consider the following clauses: Not inherently suitable for client authentication. Not a state sensitive protocol. Must be operated with more than one server. Suitable for structured message organization. May need two ports on the serve side for proper operation. The option that has the maximum ... POP3-i; SMTP-ii; DNS-iii; IMAP-iv; HTTP-v SMTP-i; HTTP-ii; IMAP-iii; DNS-iv; FTP-v

asked Oct 30, 2014 in Computer Networks by Ishrat Jahan | 2.3k views

+44 votes

6 answers

18

GATE2007-IT-68
Consider the following relation schemas : b-Schema = (b-name, b-city, assets) a-Schema = (a-num, b-name, bal) d-Schema = (c-name, a-number) Let branch, account and depositor be respectively instances of the above schemas. Assume that account and depositor ... ⋈ depositor) Пc-name (σb-city = "Agra" branch ⋈ (σb-city = "Agra" ⋀ bal < 0 account ⋈ depositor))

asked Oct 30, 2014 in Databases by Ishrat Jahan | 4.3k views

+31 votes

3 answers

19

GATE2007-IT-67
Consider the following implications relating to functional and multivalued dependencies given below, which may or may not be correct. if $A \rightarrow \rightarrow B$ and $A \rightarrow \rightarrow C$ then $A \rightarrow \rightarrow BC$ if $A \rightarrow B$ ... $A \rightarrow \rightarrow C$ Exactly how many of the above implications are valid? $0$ $1$ $2$ $3$

asked Oct 30, 2014 in Databases by Ishrat Jahan | 4.4k views

+37 votes

4 answers

20

GATE2007-IT-66
Consider the following two transactions : T1 and T2. T1 : read (A); T2 : read (B); read (B); read (A); if A = 0 then B ← B + 1; if B ≠ 0 then A ← A - 1; write (B); write (A); Which of the following schemes, using shared and exclusive locks, satisfy the requirements for ... ← B + 1; then A ← A - 1; write (B); write (A); unlock (A); unlock (A); unlock (B); unlock (B); commit; commit;

asked Oct 30, 2014 in Databases by Ishrat Jahan | 5.1k views

+29 votes

3 answers

21

GATE2007-IT-65
Consider a selection of the form $\sigma_{A\leq 100} (r)$, where $r$ is a relation with $1000$ tuples. Assume that the attribute values for $A$ among the tuples are uniformly distributed in the interval $[0, 500].$ Which one of the following options is the best estimate of the number of tuples returned by the given selection query ? $50$ $100$ $150$ $200$

asked Oct 30, 2014 in Databases by Ishrat Jahan | 4k views

+31 votes

3 answers

22

GATE2007-IT-64
A broadcast channel has $10$ nodes and total capacity of $10$ Mbps. It uses polling for medium access. Once a node finishes transmission, there is a polling delay of $80$ μs to poll the next node. Whenever a node is polled, it is allowed to transmit a maximum of $1000$ bytes. The maximum throughput of the broadcast channel is: $1$ Mbps $100/11$ Mbps $10$ Mbps $100$ Mbps

asked Oct 30, 2014 in Computer Networks by Ishrat Jahan | 3.7k views

+41 votes

8 answers

23

GATE2007-IT-63
A group of $15$ routers is interconnected in a centralized complete binary tree with a router at each tree node. Router $i$ communicates with router $j$ by sending a message to the root of the tree. The root then sends the message back down to router $j$. The mean number of hops per message, assuming all possible router pairs are equally likely is $3$ $4.26$ $4.53$ $5.26$

asked Oct 30, 2014 in Computer Networks by Ishrat Jahan | 5.9k views

+37 votes

2 answers

24

GATE2007-IT-62
Let us consider a statistical time division multiplexing of packets. The number of sources is $10$. In a time unit, a source transmits a packet of $1000$ bits. The number of sources sending data for the first $20$ ... per time unit. Then the average number of backlogged of packets per time unit during the given period is $5$ $4.45$ $3.45$ $0$

asked Oct 30, 2014 in Computer Networks by Ishrat Jahan | 4.8k views

+28 votes

4 answers

25

GATE2007-IT-61
In the waveform (a) given below, a bit stream is encoded by Manchester encoding scheme. The same bit stream is encoded in a different coding scheme in wave form (b). The bit stream and the coding scheme ... Manchester respectively $0111101000$ and Differential Manchester respectively $1000010111$ and Integral Manchester respectively $0111101000$ and Integral Manchester respectively

asked Oct 30, 2014 in Computer Networks by Ishrat Jahan | 6k views

+26 votes

5 answers

26

GATE2007-IT-60
For the network given in the figure below, the routing tables of the four nodes $A$, $E$, $D$ and $G$ are shown. Suppose that $F$ has estimated its delay to its neighbors, $A$, $E$, $D$ and $G$ as $8$, $10$, $12$ and $6$ msecs respectively and updates its routing ...

asked Oct 30, 2014 in Computer Networks by Ishrat Jahan | 3.2k views

0 votes

1 answer

27

GATE2007-IT-59
The contents of the text file t1 txt containing four lines are as follows : a1 b1 a2 b2 a3 b2 a4 b1 The contents of the text file t2 txt containing five lines are as follows : a1 c1 a2 c2 a3 c3 a4 c3 a5 c4 Consider the following Bourne shell ... Note that the given strings may be substrings of a printed line.) "b1 c1" "b2 c3" "b1 c2" "b1 c3"

asked Oct 30, 2014 in Operating System by Ishrat Jahan | 433 views

+50 votes

5 answers

28

GATE2007-IT-58
A demand paging system takes $100$ time units to service a page fault and $300$ time units to replace a dirty page. Memory access time is $1$ time unit. The probability of a page fault is $p$. In case of a page fault, the probability of page being dirty is also $p$. It is observed that the average access time is $3$ time units. Then the value of $p$ is $0.194$ $0.233$ $0.514$ $0.981$

asked Oct 30, 2014 in Operating System by Ishrat Jahan | 8.2k views

+23 votes

1 answer

29

GATE2007-IT-57
In a multi-user operating system on an average, $20$ requests are made to use a particular resource per hour. The arrival of requests follows a Poisson distribution. The probability that either one, three or five requests are made in $45$ minutes is given by : $6.9 \times 10^6 \times e^{-20}$ ... $6.9 \times 10^3 \times e^{-20}$ $1.02 \times 10^3 \times e^{-20}$

asked Oct 30, 2014 in Probability by Ishrat Jahan | 3.4k views

+26 votes

3 answers

30

GATE2007-IT-56
Synchronization in the classical readers and writers problem can be achieved through use of semaphores. In the following incomplete code for readers-writers problem, two binary semaphores mutex and wrt are used to obtain synchronization wait (wrt) writing is performed signal (wrt) wait ... (mutex), wait (mutex), signal (wrt) signal (mutex), wait (mutex), signal (mutex), wait (mutex)

asked Oct 30, 2014 in Operating System by Ishrat Jahan | 3.1k views

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