GATE CS question library

Consider the following $\text{ER}$ diagram The minimum number of tables needed to represent $M$, $N$, $P$, $R1$, $R2$ is Which of the following is a correct attribute set for one of the tables for the minimum number of tables needed to represent $M$, $N$, $P$, $R1$, $R2$?

Consider the following C program that attempts to locate an element $x$ in an array $Y[ \ ]$ using binary search. The program is erroneous. f (int Y[10] , int x) { int i, j, k; i= 0; j = 9; do { k = (i + j) / 2; if( Y[k] < x) i = k;else j = k; } while (Y[k] != x) && (i < j)) ; if(Y[k] == x) printf(" x is in the array ") ; else printf(" x is …

Consider a machine with a $2$-way set associative data cache of size $64$ Kbytes and block size $16$ bytes. The cache is managed using $32$ bit virtual addresses and the page size is $4$ Kbytes. A program to be run on this machine begins as follows: double ARR[1024][1024]; int i, j; /*Initialize array ARR to 0.0 */ for(i = 0; i < 1024; i++) …

Consider a machine with a $2$-way set associative data cache of size $64$ Kbytes and block size $16$ bytes. The cache is managed using $32$ bit virtual addresses and the page size is $4$ Kbytes. A program to be run on this machine begins as follows: double ARR[1024][1024]; int i, j; /*Initialize array ARR to 0.0 */ for(i = 0; i < 1024; i++) …

Consider the following C functions: int f1 (int n) { if(n == 0 || n == 1) return n; else return (2 * f1(n-1) + 3 * f1(n-2)); } int f2(int n) { int i; int X[N], Y[N], Z[N]; X[0] = Y[0] = Z[0] = 0; X[1] = 1; Y[1] = 2; Z[1] = 3; for(i = 2; i <= n; i++){ X[i] = Y[i-1] + Z[i-2]; Y[i] = 2 * X[i]; Z[i] = 3 * X[i]; } return X[n]; } $f1(8)$ and $f2(8)$ return …

Delayed branching can help in the handling of control hazards The following code is to run on a pipelined processor with one branch delay slot: I1: ADD $R2 \leftarrow R7 + R8$ I2: Sub $R4 \leftarrow R5 – R6$ I3: ADD $R1 \leftarrow R2 + R3$ I4: STORE Memory $[R4] \leftarrow R1$ BRANCH to Label if $R1 == 0$ Which of the instructions I1, I2, I3 or I4 …

Let $x_n$ denote the number of binary strings of length $n$ that contain no consecutive $0$s. The value of $x_5$ is

The subset-sum problem is defined as follows. Given a set of $n$ positive integers, $S = \{ a_1, a_2, a_3, \dots , a_n \}$, and positive integer $W$, is there a subset of $S$ whose elements sum to $W$? A dynamic program for solving this problem uses a $\text{2-dimensional}$ Boolean array, $X$, with $n$ rows and $W+1$ columns. …

The subset-sum problem is defined as follows. Given a set of $n$ positive integers, $S = \{ a_1, a_2, a_3, \dots , a_n \}$, and positive integer $W$, is there a subset of $S$ whose elements sum to $W$? A dynamic program for solving this problem uses a $\text{2-dimensional}$ Boolean array, $X$, with $n$ rows and $W+1$ columns. …

$G$ is a graph on $n$ vertices and $2n-2$ edges. The edges of $G$ can be partitioned into two edge-disjoint spanning trees. Which of the following is NOT true for $G$?

Let $x_n$ denote the number of binary strings of length $n$ that contain no consecutive $0$s. Which of the following recurrences does $x_n$ satisfy?

Delayed branching can help in the handling of control hazards For all delayed conditional branch instructions, irrespective of whether the condition evaluates to true or false,

Consider the following C functions: int f1 (int n) { if(n == 0 || n == 1) return n; else return (2 * f1(n-1) + 3 * f1(n-2)); } int f2(int n) { int i; int X[N], Y[N], Z[N]; X[0] = Y[0] = Z[0] = 0; X[1] = 1; Y[1] = 2; Z[1] = 3; for(i = 2; i <= n; i++){ X[i] = Y[i-1] + Z[i-2]; Y[i] = 2 * X[i]; Z[i] = 3 * X[i]; } return X[n]; } The running time of $f1(n)$ …

Consider a machine with a $2$-way set associative data cache of size $64\text{Kbytes}$ and block size $16\text{bytes}$. The cache is managed using $32\;\text{bit}$ virtual addresses and the page size is $4\text{Kbytes}$. A program to be run on this machine begins as follows: double ARR[1024][1024]; int i, j; /*Initialize array ARR to 0.0 */ for(i = …

Consider the following relational schemes for a library database: Book (Title, Author, Catalog_no, Publisher, Year, Price) Collection(Title, Author, Catalog_no) with the following functional dependencies: $\text{Title Author }\rightarrow\text{ Catalog\_no}$ $\text{Catalog\_no }\rightarrow\text{ Title Author Publisher Year}$ …

Let R and S be two relations with the following schema $R(\underline{P,Q}, R1, R2, R3)$ $S(\underline{P,Q}, S1, S2)$ where $\left\{P, Q\right\}$ is the key for both schemas. Which of the following queries are equivalent? $\Pi_P \left(R \bowtie S\right)$ $\Pi_P \left(R\right) \bowtie \Pi_P\left(S\right)$ …

A processor uses $36$ bit physical address and $32$ bit virtual addresses, with a page frame size of $4$ Kbytes. Each page table entry is of size $4$ bytes. A three level page table is used for virtual to physical address translation, where the virtual address is used as follows: Bits $30-31$ are used to index into the first level page table. Bits …

A process executes the following code for(i=0; i<n; i++) fork(); The total number of child processes created is

Which of the following is NOT true of deadlock prevention and deadlock avoidance schemes?

Which of the following statements about synchronous and asynchronous I/O is NOT true?