GATE CSE 2004


Q31.

How many 8-bit characters can be transmitted per second over a 9600 baud serial communication link using asynchronous mode of transmission with one start bit, eight data bits, two stop bits, and one parity bit?
GateOverflow

Q32.

Choose the best matching between Group 1 and Group 2 \begin{array}{|l|l|}\hline \textbf{Group-1} & \textbf{Group-2} \\\hline \text{P. Data link layer} & \text{1. Ensures reliable transport of data over a physical point-}\\ & \text{to-point link} \\\hline \text{Q. Network layer} & \text{2. Encodes/decodes data for physical transmission} \\\hline \text{R. Transport layer} & \text{3. Allows end-to-end communication between two }\\ & \text{processes} \\\hline \text{} & \text{4. Routes data from one network node to the next} \\\hline \end{array}
GateOverflow

Q33.

The recurrence equation T(1) = 1 T(n) = 2T(n - 1) + n, n \geq 2 evaluates to
GateOverflow

Q34.

L1 is a recursively enumerable language over \Sigma. An algorithm A effectively enumerates its words as w1, w2, w3, ... define another language L2 over \SigmaU{#} as {wi # wj : wi, wj \in L1, i \lt j}. Here # is a new symbol. Consider the following assertions. S1 : L1 is recursive implies L2 is recursive S2 : L2 is recursive implies L1 is recursive Which of the following statements is true ?
GateOverflow

Q35.

Consider the following grammar G: Let Na(w) and Nb(w) denote the number of a's and b's in a string w respectively. The language L(G)\subseteq \{a,b\}^{+} generated by G is
GateOverflow

Q36.

Let R1(\underline{A},B,(C)) and R2(\underline{D},E) be two relation schema, where the primary keys are shown underlined, and let C be a foreign key in R1 referring to R2 . Suppose there is no violation of the above referential integrity constraint in the corresponding relation instances r1 and r2 . Which one of the following relational algebra expressions would necessarily produce an empty relation?
GateOverflow

Q37.

Consider the relation Student (\underline{name}, sex, marks), where the primary key is shown underlined, pertaining to students in a class that has at least one boy and one girl. What does the following relational algebra expression produce) (Note: \rho is the rename operator). The condition in join is "(sex=female ^\wedge x=male ^\wedge marks\leq m)"
GateOverflow

Q38.

Consider the binary relation: S = {(x, y)|y = x + 1 and x, y \in {0, 1, 2,...}} The reflexive transitive closure of S is
GateOverflow

Q39.

The tightest lower bound on the number of comparisons, in the worst case, for comparison-based sorting is of the order of
GateOverflow

Q40.

Consider a program P that consists of two source modules M1 and M2 contained in two different files. If M1 contains a reference to a function defined in M2 the reference will be resolved at
GateOverflow