Let a Non-deterministic Finite Automaton (NFA) have 6 states over a finite alphabet. Which of the following cannot be the number of states in a minimal Deterministic Finite Automaton (DFA) that is equivalent to this NFA?

• (A) 1
• (B) 32
• (C) 65
• (D) 128

Let P, Q, R, S be relational schemas. Let “\(\to\)” indicate a functional dependency (FD) in this context. Which of the following best describes the meaning of a functional dependency?

• (a) if then or
• (b) if then
• (c) if then
• (d) if and then

With respect to a TCP connection between a client and a server, which of the following is true?

• (a) TCP connection is half duplex
• (b) The client and server use a three-way handshaking mechanism
• (c) Before starting data transmission, client and server can initiate closing the connection at the same time
• (d) The server cannot initiate closing of the connection unless the client initiates closing of the connection

A single degree of freedom system is undergoing free oscillation. The natural frequency and damping ratio of the system are 1 rad/s and 0.01 respectively. The reduction in peak amplitude over three cycles is ____% (rounded off to one decimal place).

A ship moving at a steady forward speed of 10 m/s experiences a total resistance of 140 kN. The Quasi Propulsive Coefficient (QPC) is 0.70; the propeller shaft losses are 5% and the mechanical efficiency of the main engine is 80%. The indicated power of the main engine is _____ kW (rounded off to two decimal places).