MTH601 Solved MCQs

1. The cost matrix in assignment problem is always diagonal matrix:

•  Square matrix
•  Identify matrix
•  Zero matrix

2. we go in probabilistic replacement model when period between installation failure is:

•  constant

3. if the mean arrival and mean service rates are 4 and 7 respectively in queue then expected time in the system is.

•  1 3
•  3
•  28
•  7 4

4. In a bank ,every 15 mint one customer arrive for the cash the cheque . The staff in the payment takes only 10 mint for the serving a customer on an average , then the services rate "" = ------- --.

•  6 per hour
•  4 per hour
•  10 per hour

6

5. Which of the following binary operation in assignment problem among all the given profit form the highest element of matrix:

•  Subtraction
•  Addition
•  Multiplication
•  Division

6. The present worth of a rupee to be spent after a year is denoted by v and given by:

•  V=1/(1+r)
•  V=(1+r)
•  V= (1+r)/10
•  V(1/r)

7.

In game theory, the outcome or consequence of a strategy is referred to as the

•  Payoff.
•  Penalty.

8. Operations research is the application of

methods to arrive atthe optimal Solutions to the problems.

•  economical

 scientific

•  a and b both
•  None

9. The degeneracy in the transportation problem indicates that

•  Dummy allocation(s) needs to be added
•  None of all
•  The problem has no feasible solution

 The multiple optimal solution exist

10. The initial solution of a transportation problem can be obtained by applyingany known method. However, the only condition is that

•  The solution be optimal

 The rim conditions are satisfied

•  The solution not be degenerate
•  All of the above

11. The method of finding an initial solution based upon opportunity costs iscalled

•  the northwest corner rule

 Vogel's approximation

•  Johansson's theorem
•  None

12. A repairman services three machine. For each machine the time between services requirement is 8 hour following exponential. The time of repair also has the same distribution with a mean of 2 hours. Then the mean services time "" is.

•  ½=0.5
•  4
•  ¼=0.5
•  2

13. MAD ------------ S.D: 2 3 3 2
14. Standard Deviation (S.D)= ---------------- M.D 3 2 2 3
15. Zero valued artificial variables may appears as ---------- variables in the final solution, when one or more of the original constrict equation is redundant:

•  Non Basic
•  Basic
•  Slacks
•  Surplus

16. In the big .M method , if the introduced ---------- variables do not the basic is in the final iteration, then this indicates that the give linear programming problem cannot be optimized.

•  Entering
•  Positive
•  Negative slack
•  Artificial

17. During a replacement if the values of money decreases ate rate of 3% then the present wroth factor of unit amount to be spent after one year is given by :

•  0.25
•  0.333
•  0.9708
•  4

Q18. In linear programming problem (LPP), which of the following must be hold?

•  Only objection function is linear
•  Only constraints need to be leaner
•  Both objective function and constraints are linear

19. Solution region for the constraint y<0 is the

•  Half plane below y-axis
•  Half plane below the line y=0