# Recent questions tagged gate2003

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2^2n =O(2^n) True or False Its false but why
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Consider this GATE 2003 question: https://gateoverflow.in/937/gate2003-46 Here, instead of XOR gates we had OR gates, then which of the following operations can we perform? $A + B, A - B\ and\ A + 1$
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Consider the following logic program P A(x) <- B(x, y), C(y) <- B(x,x) Which of the following first order sentences is equivalent to P? Can anyone explain how it can be solved ?
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A processor uses $\text{2-level}$ page tables for virtual to physical address translation. Page tables for both levels are stored in the main memory. Virtual and physical addresses are both $32$ bits wide. The memory is byte addressable. For virtual to physical address translation, the $10$ most ... the page tables of this process is $\text{8 KB}$ $\text{12 KB}$ $\text{16 KB}$ $\text{20 KB}$
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Consider the following assembly language program for a hypothetical processor A, B, and C are 8 bit registers. The meanings of various instructions are shown as comments. MOV B, #0 ; $B \leftarrow 0$ MOV C, #8 ; $C \leftarrow 8$ Z: CMP C, #0 ; compare C with 0 JZ X ; jump ... as same as its initial value? RRC A, #1 NOP ; no operation LRC A, #1; left rotate A through carry flag by one bit ADD A, #1
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In a permutation $a_1 ... a_n$, of $n$ distinct integers, an inversion is a pair $(a_i, a_j)$ such that $i < j$ and $a_i > a_j$. What would be the worst case time complexity of the Insertion Sort algorithm, if the inputs are restricted to permutations of $1. . . n$ with at most $n$ inversions? $\Theta(n^2)$ $\Theta(n\log n)$ $\Theta(n^{1.5})$ $\Theta(n)$
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The following program fragment is written in a programming language that allows global variables and does not allow nested declarations of functions. global int i=100, j=5; void P(x) { int i=10; print(x+10); i=200; j=20; print (x); } main() {P(i+j);} If the ... scoping and call by name parameter passing mechanism, the values printed by the above program are $115, 220$ $25, 220$ $25, 15$ $115, 105$
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Suppose we want to synchronize two concurrent processes $P$ and $Q$ using binary semaphores $S$ and $T$. The code for the processes $P$ and $Q$ ... $Z, S$ initially $1$ $V(S)$ at $W, V(T)$ at $X, P(S)$ at $Y, P(T)$ at $Z, S$ and $T$ initially $1$
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Consider the following circuit composed of XOR gates and non-inverting buffers. The non-inverting buffers have delays $\delta_1 = 2 ns$ and $\delta_2 = 4 ns$ as shown in the figure. Both XOR gates and all wires have zero delays. Assume that all gate inputs, outputs, and wires are stable at logic ... (change of logic levels) occur(s) at $B$ during the interval from $0$ to $10$ ns? $1$ $2$ $3$ $4$
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In a min-heap with $n$ elements with the smallest element at the root, the $7^{th}$ smallest element can be found in time $\Theta (n \log n)$ $\Theta (n)$ $\Theta(\log n)$ $\Theta(1)$
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Consider the function $f$ defined below. struct item { int data; struct item * next; }; int f(struct item *p) { return ((p == NULL) || (p->next == NULL)|| ((p->data <= p ->next -> data) && f(p->next))); } For a given linked list ... in non-decreasing order of data value the elements in the list are sorted in non-increasing order of data value not all elements in the list have the same data value
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Consider the C program shown below: #include<stdio.h> #define print(x) printf("%d", x) int x; void Q(int z) { z+=x; print(z); } void P(int *y) { int x = *y + 2; Q(x); *y = x - 1; print(x); } main(void) { x = 5; P(&x); print(x); } The output of this program is: $12 \ 7 \ 6$ $22 \ 12 \ 11$ $14 \ 6 \ 6$ $7 \ 6 \ 6$
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In the following $C$ program fragment, $j$, $k$, $n$ and TwoLog_n are integer variables, and $A$ is an array of integers. The variable $n$ is initialized to an integer $\geqslant 3$, and TwoLog_n is initialized to the value of $2^*\lceil \log_2(n) \rceil$ for (k = 3; k <= n; k++) A[k] ... $\left\{m \mid m \leq n, \text{m is prime} \right\}$ { }
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Consider three data items $D1, D2,$ and $D3,$ and the following execution schedule of transactions $T1, T2,$ and $T3.$ In the diagram, $R(D)$ and $W(D)$ denote the actions reading and writing the data item $D$ ... $T2; T3; T1$ The schedule is serializable as $T2; T1; T3$ The schedule is serializable as $T3; T2; T1$ The schedule is not serializable
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Consider the set of relations shown below and the SQL query that follows. Students: (Roll_number, Name, Date_of_birth) Courses: (Course_number, Course_name, Instructor) Grades: (Roll_number, Course_number, Grade) Select distinct Name from Students, Courses, Grades where Students.Roll_number= ... of students who have got an A grade in at least one of the courses taught by Korth None of the above
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Consider the following functional dependencies in a database. ... , Age) is in second normal form but not in third normal form in third normal form but not in BCNF in BCNF in none of the above
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Host $A$ is sending data to host $B$ over a full duplex link. $A$ and $B$ are using the sliding window protocol for flow control. The send and receive window sizes are $5$ packets each. Data packets (sent only from $A$ to $B$) are all $1000$ bytes long and the transmission time for ... communication? $7.69 \times 10^6$ Bps $11.11 \times 10^6$ Bps $12.33 \times 10^6$ Bps $15.00 \times 10^6$ Bps
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A $2$ $km$ long broadcast LAN has $10^7$ bps bandwidth and uses CSMA/CD. The signal travels along the wire at $2 \times 10^8$ m/s. What is the minimum packet size that can be used on this network? $50$ $\text{bytes}$ $100$ $\text{bytes}$ $200$ $\text{bytes}$ None of the above
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The subnet mask for a particular network is $255.255.31.0.$ Which of the following pairs of $\text{IP}$ addresses could belong to this network? $172.57.88.62$ and $172.56.87.23$ $10.35.28.2$ and $10.35.29.4$ $191.203.31.87$ and $191.234.31.88$ $128.8.129.43$ and $128.8.161.55$
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Suppose we want to synchronize two concurrent processes $P$ and $Q$ using binary semaphores $S$ and $T$. The code for the processes $P$ and $Q$ is shown below. Process P: Process Q: while(1) { while(1) { W: Y: print '0'; print '1'; print '0'; print '1'; X: Z: } } Synchronization statements can be ... $P(S)$ at $W, V(S)$ at $X, P(T)$ at $Y, V(T)$ at $Z, S$ initially $1$ , and $T$ initially $0$
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A uni-processor computer system only has two processes, both of which alternate $10$ $\text{ms}$ CPU bursts with $90$ $\text{ms}$ I/O bursts. Both the processes were created at nearly the same time. The I/O of both processes can proceed in ... first scheduling Static priority scheduling with different priorities for the two processes Round robin scheduling with a time quantum of $5$ $\text{ms}$
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Which of the following is NOT an advantage of using shared, dynamically linked libraries as opposed to using statistically linked libraries? Smaller sizes of executable files Lesser overall page fault rate in the system Faster program startup Existing programs need not be re-linked to take advantage of newer versions of libraries
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Consider the following class definitions in a hypothetical Object Oriented language that supports inheritance and uses dynamic binding. The language should not be assumed to be either Java or C++, though the syntax is similar. Class P { Class Q subclass of P { void f(int i) { void f(int i ... of y to P. The output produced by executing the above program fragment will be 1 2 1 2 1 1 2 1 2 2 2 2
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The following program fragment is written in a programming language that allows global variables and does not allow nested declarations of functions. global int i=100, j=5; void P(x) { int i=10; print(x+10); i=200; j=20; print (x); } main() {P(i+j);} If the ... and call by need parameter passing mechanism, the values printed by the above program are: $115, 220$ $25, 220$ $25, 15$ $115, 105$
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The following resolution rule is used in logic programming. Derive clause $(P \vee Q)$ from clauses $(P\vee R),(Q \vee ¬R)$ Which of the following statements related to this rule is FALSE? $((P ∨ R)∧(Q ∨ ¬R))⇒(P ∨ Q)$ is logically valid $(P ∨ Q)⇒((P ∨ R))∧(Q ∨ ¬R))$ ... if and only if $(P ∨ R)∧(Q ∨ ¬R)$ is satisfiable $(P ∨ Q)⇒ \text{FALSE}$ if and only if both $P$ and $Q$ are unsatisfiable
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Consider the following logic program P \begin{align*} A(x) &\gets B(x,y), C(y) \\ &\gets B(x,x) \end{align*} Which of the following first order sentences is equivalent to P? $(\forall x) [(\exists y) [B(x,y) \land C(y)] \Rightarrow A(x)] \land \neg (\exists x)[B(x,x)]$ ... $(\forall x) [(\forall y) [B(x,y) \land C(y)] \Rightarrow A(x)] \land (\exists x)[B(x,x)]$
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Let $G= (V,E)$ be a directed graph with $n$ vertices. A path from $v_i$ to $v_j$ in $G$ is a sequence of vertices ($v_{i},v_{i+1}, \dots , v_j$) such that $(v_k, v_{k+1}) \in E$ for all $k$ in $i$ through $j-1$. A simple path is a path in which no vertex ... longest path length from $j$ to $k$ If there exists a path from $j$ to $k$, every simple path from $j$ to $k$ contains at most $A[j,k]$ edges
The following are the starting and ending times of activities $A, B, C, D, E, F, G$ and $H$ respectively in chronological order: $a_s \: b_s \: c_s \: a_e \: d_s \: c_e \: e_s \: f_s \: b_e \: d_e \: g_s \: e_e \: f_e \: h_s \: g_e \: h_e$ ... scheduled in a room only if the room is reserved for the activity for its entire duration. What is the minimum number of rooms required? $3$ $4$ $5$ $6$
What is the weight of a minimum spanning tree of the following graph? $29$ $31$ $38$ $41$
Let $G =(V,E)$ be an undirected graph with a subgraph $G_1 = (V_1, E_1)$. Weights are assigned to edges of $G$ as follows. $w(e) = \begin{cases} 0 \text{, if } e \in E_1 \\1 \text{, otherwise} \end{cases}$ A single-source shortest path algorithm is executed on ... number of edges in the shortest paths from $v_1$ to all vertices of $G$ $G_1$ is connected $V_1$ forms a clique in $G$ $G_1$ is a tree