MCQ Bank
In the PERT, the expected time is classified as a----------- variable.
- A) fix valued (constant)
- B) random
- C) continuous
- D) complex valued
Which of the following value is correct for the expected time of an activity having optimistic, pessimistic and most likely times as 4, 8 and 6 days respectively?
- A) 9.33 days
- B) 4.66 days
- C) 6 days
- D) 6.66 days
Duration of the project is described by the __________ to complete the project.
- A) quick time
- B) shortest time
- C) latest start time
- D) longest time
In a network flow diagram, if an event is the predecessor of three other events then how many dummies are inevitable to include in the network?
- A) Three
- B) Two
- C) One
- D) Four
While identifying the Critical Path of a network flow diagram, the Late Start and Late Finish phase confirms that project start time is____________.
- A) zero
- B) infinity
- C) 5th day
- D) arbitrary
Which of the following relation is true among the probabilistic times in PERT?
- A) Most Likely < Optimistic < Pessimistic
- B) Pessimistic < Most Likely < Optimistic
- C) Most Likely < Pessimistic < Optimistic
- D) Optimistic < Most Likely < Pessimistic
{\text{Minimizing}}\,\,{\text{any}}\,\,{\text{function}}\,f({x_1},{x_2},{x_3},......,{x_n})\,{\text{subject}}\,{\text{to}}\,{\text{the}}\,{\text{set}}\,{\text{of}}\,{\text{constraints}}\,\,{\text{is}}\,\,{\text{equivalent}}\,{\text{to}}\,{\text{maximizing _________ subject}}\,{\text{to}}\,{\text{the}}\,{\text{same}}\,{\text{set}}\,{\text{of}}\,{\text{constraints}}{\text{.}}
- A) - f({x_1},{x_2},{x_3},......,{x_n})
- B) f({x_1}, - {x_2},{x_3},......,{x_n})
- C) f( - {x_1}, - {x_2}, - {x_3},......, - {x_n})
- D) f( - {x_1},{x_2},{x_3},......,{x_n})
For Z = 4 x_1 + x_2 subject to 3 x_1 + 4 x_2 \geq 20, x_1 + 5 x_ 2 \geq 15, we have ___________ variables.
- A) three objective
- B) six
- C) two slack
- D) one artificial
Which of the following order pair would minimize the objective function of the linear programming problem; z = x + 5 y subject to x \geq 2 , y \geq 0 ?
- A) (0,0)
- B) (0,3)
- C) (2,0)
- D) (2,3)
When we have \geq type constraints, then we convert it to equality constraints by introducing _______ variable(s) and solve it by __________ method.
- A) artificial and slack, Big M or Two phase
- B) artificial, Two phase
- C) artificial, Big M
- D) slack, Big M
For Z = 4 x_1 + x_2 subject to 3 x_1 + 4 x_2 \geq 20, x_1 + 5 x_2 \geq 15, we have ___________ variables.
- A) two slack
- B) two artificial
- C) three objective
- D) both a and b
Minimizing\,\,\,Z = 4{x_1} + 2{x_2} + {x_3}\,\,is\,\,equivalent\,\,to\,\,\max imizing\,\,Z = \_\_\_\_\_\_\_\_\_\_\_\_\_.
- A) - 4{x_1} - 2{x_2} - {x_3}
- B) - 4{x_1} - 2{x_2} + {x_3}
- C) - 4{x_1} + 2{x_2} + {x_3}
- D) - 4{x_1} + 2{x_2} - {x_3}
Which of the following order pair would minimize the objective function of the linear programming problem; \(z = x + 5 y \) subject to \(x \geq 2 , y \geq 0\) ?
- A) (2,3)
- B) (0,0)
- C) (2,0)
- D) (0,3)
For \( Z = 4 x_1 + x_2 \) subject to \( 3 x_1 + 4 x_2 \geq 20, x_1 + 5 x_2 \geq 15 \), we have ___________ variables.
- A) both a and b
- B) two slack
- C) three objective
- D) two artificial
\[{\text{Minimizing}}\,\,{\text{any}}\,\,{\text{function}}\,f({x_1},{x_2},{x_3},......,{x_n})\,{\text{subject}}\,{\text{to}}\,{\text{the}}\,{\text{set}}\,{\text{of}}\,{\text{constraints}}\,\,{\text{is}}\,\,{\text{equivalent}}\,{\text{to}}\,{\text{maximizing _________ subject}}\,{\text{to}}\,{\text{the}}\,{\text{same}}\,{\text{set}}\,{\text{of}}\,{\text{constraints}}{\text{.}}\]
- A) \[f( - {x_1},{x_2},{x_3},......,{x_n})\]
- B) \[f( - {x_1}, - {x_2}, - {x_3},......, - {x_n})\]
- C) \[ - f({x_1},{x_2},{x_3},......,{x_n})\]
- D) \[f({x_1}, - {x_2},{x_3},......,{x_n})\]
\[Minimizing\,\,\,Z = 4{x_1} + 2{x_2} + {x_3}\,\,is\,\,equivalent\,\,to\,\,\max imizing\,\,Z = \_\_\_\_\_\_\_\_\_\_\_\_\_.\]
- A) \[ - 4{x_1} - 2{x_2} + {x_3}\]
- B) \[ - 4{x_1} + 2{x_2} - {x_3}\]
- C) \[ - 4{x_1} + 2{x_2} + {x_3}\]
- D) \[ - 4{x_1} - 2{x_2} - {x_3}\]
The inequality \(3x - 2y \geq 14\) is equivalent to______.
- A) \(3x - 2y < - 14\)
- B) \(3x - 2y \leq 14\)
- C) \( - 3x + 2y \leq - 14\)
- D) \( - 3x + 2y > 14\)
The inequality 3x - 2y \geq 14 is equivalent to______.
- A) 3x - 2y \leq 14
- B) 3x - 2y < - 14
- C) - 3x + 2y > 14
- D) - 3x + 2y \leq - 14
When we have \( \geq \) type constraints, then we convert it to equality constraints by introducing _______ variable(s) and solve it by __________ method.
- A) artificial and slack, Big M or Two phase
- B) slack, Big M
- C) artificial, Two phase
- D) artificial, Big M
For \( Z = 4 x_1 + x_2\) subject to \( 3 x_1 + 4 x_2 \geq 20, x_1 + 5 x_ 2 \geq 15 \), we have ___________ variables.
- A) two slack
- B) one artificial
- C) three objective
- D) six