Sample/practice exam 5 March Autumn 2021, questions PDF

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Download Sample/practice exam 5 March Autumn 2021, questions PDF

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OPERATIONS RESEARCH UNIT – 3 BITS 1) Two person zero‐sum game means that the (a) Sum of losses to one player is equal to the sum of gains to other (b) Sum of losses to one player is not equal to the sum of gains to other (c) Both (a) and (b) (d) None of the above 2)

Game theory models are classified by the

(a) Number of players

(b) Sum of all payoffs

(c) Number of strategies

(d) all of the above

3)

A game is said to be fair if

(a) Both upper and lower values of the game are same and zero (b) Upper and lower values of the game are not equal (c) Upper value is more than lower value of the game (d) None of the above 4) What happens when maximin and minimax value of the game are same? (a) No solution exists

(b) Solution is mixed

(c) Saddle point exists

(d) none of the above

5) A mixed strategy game can be solved by (a) Algebraic method

(b) matrix method

(c) Graphical method

(d) all of the above

6) The size of the payoff matrix of a game can be reduced by using the principle of (a) Game inversion

(b) rotation reduction

(c) Dominance

(d) game transposes

7) Games which involves more than two players are called (a) Conflicting game

(b) negotiable game

(c) N‐person game

(d) all of the above

8) When the sum of gains of one player is equal to the sum of losses to another player in a game, this situation is known as (a) Biased game

(b) zero sum game

(c) Fair game

(d) all of the above

9) A saddle points exists when (a) Maximin value = maximax value

(b) minimax value = minimum value

(c) Minimax value = maximin value

(d) none of the above

10) In a mixed strategy game (a) No saddle points exists

(b) each player always selects same strategy

(c) Each player always selects same strategy without considering other player’s choice (d) all of the above 11) In a pure strategy game (a) Any strategy may be selected arbitrarily (b) A particular strategy is selected by each player (c) Both players always select their optimal strategy (d) None of the above 12) Game theory is the study of (a) Selecting optimal strategies

(b) Resolving conflict between players

(c) Both (a) and (b)

(c) none of the above

13) In game theory, the outcome or consequence of a strategy is referred to as the (a) Payoff

(b) Penalty

(c) Reward

(d) End-game strategy

14) Theory of Games and economic behavior is published by: (a) John Von Neumann and Morgenstern

(b) John Flood

(c) Bellman and Neumann

(d) Mr. Erlang

15) The list of courses of action with each player is (a) Infinite

(b) Number of strategies with each player must be same

(c) Number of strategies with each player need not be same (d) None of the above 16) One of the assumptions in the game theory is: (a) All players act rationally and intelligently

(b) Winner alone acts rationally,

(c) Loser acts intelligently

(d) Both the players believe in luck.

17) A competitive situation is known as: (a) Competition

(b) Marketing

(c) Game

(d) None of the above

18) The games with saddle points are : (a) Probabilistic in nature

(b) Normative in nature

(c) Stochastic in nature

(d) Deterministic in nature

19) When the game is played on a predetermined course of action, which does not change throughout game, then the game is said to be (a) Pure strategy game

(b) Fair strategy game

(c) Mixed strategy game

(d) unsteady game

20) In case there is no saddle point in a game then the game is (a) Deterministic game

(b) Fair game

(c) Mixed strategy game

(d) Multiplayer game

21) The passenger and the train in queuing system describers_________ . (a) Customer and server

(b) Server and customer

(c) Both servers

(d) None of these

22) If the injured goes to doctor for treatment then in queuing system the doctor and injured are respectively____________ . (a) Customer and server

b. Server and customer

c. Both servers

d. None of these.

23) Under the exponential assumptions the probability that an event occur in sufficient small interval is ____________. (a) Greater than one

(b) Less than one.

(c) Equals to one

(d) None of these.

24) Under the exponential assumption, the probability that an event will occur in sufficient small interval is________________ . (a) Always positive

b. Always negative

c. Always Zero

d. None of these

25) The inter arrival time is 10 minutes the arrival rate is ________ (a) 8

b.1/10

c.3

d.2

26) Let p be the probability that an arrival occurs in Δ t =0 under exponential assumptions___________ (a) 0≤p≤1

b. 0...