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Free download in PDF Linear Programming Multiple Choice Questions and Answers for competitive exams. These short objective type questions with answers are very important for Board exams as well as competitive exams like UPSC, NDA, SSC etc. These short solved questions or quizzes are provided by Gkseries./p>
(1)
The best use of linear programming is to find optimal use of
[A]
money
[B]
Manpower
[C]
Machine
[D]
All the above
(2)
Which of the following is assumption of an LP model
[A]
divisibility
[B]
proportionality
[C]
additivity
[D]
all of the above
(3)
Before formulating a formal LP model, it is better to
[A]
Express each constraints in words
[B]
Express the objective function in words
[C]
verbally identify decision variables
[D]
all of the above
(4)
Non-negative condition in an LP model implies
[A]
a positive coefficient of variables in objective function
[B]
a positive coefficient of variables in any constraint
[C]
non-negative value of resourse
[D]
none of the above
Answer: non-negative value of resourse
(5)
For the constraint of a linear optimizing function z=x1+x2 given by x1+x2≤1, 3x1+x2≥3 and x1, x2≥0
[A]
There are two feasible regions
[B]
There are infinite feasible regions
[C]
There is no feasible region
[D]
None of these
Answer: There is no feasible region
(6)
The intermediate solutions of constraints must be checked by substituting them back into
[A]
Objective function
[B]
Constraint equations
[C]
Not required
[D]
None of the above
Answer: Constraint equations
(7)
A basic solution is called non-degenerate, if
[A]
All the basic variables are zero
[B]
None of the basic variables is zero
[C]
At least one of the basic variables is zero
[D]
None of these
Answer: None of the basic variables is zero
(8)
If the number of available constraints is 3 and the number of parameters to be optimized is 4, then
[A]
The objective function can be optimized
[B]
The constraints are short in number
[C]
The solution is problem oriented
[D]
None of these
Answer: The constraints are short in number
(9)
The graph of x≤2 and y≥2 will be situated in the
[A]
First and second quadrant
[B]
Second and third quadrant
[C]
First and third quadrant
[D]
Third and fourth quadrant
Answer: Second and third quadrant
(10)
The feasible solution of a L.P.P. belongs to
[A]
First and second quadrant
[B]
First and third quadrant
[C]
Second quadrant
[D]
Only in the first quadrant
Answer: Only in the first quadrant
(11)
The true statement for the graph of inequations 3x+2y≤6 and 6x+4y≥20 , is
[A]
Both graphs are disjoint
[B]
Both do not contain origin
[C]
Both contain point (1, 1)
[D]
None of these
Answer: Both graphs are disjoint
(12)
A vertex of bounded region of inequalities 𝑥 ≥ 0 ,𝑥 + 2𝑦 ≥ 0 and 2𝑥 + 𝑦 ≤ 4, is
[A]
(1,1)
[B]
(0,1)
[C]
(3, 0)
[D]
(0,0)
(13)
In which quadrant, the bounded region for the inequations 𝑥 + 𝑦 ≤ 1 and 𝑥 − 𝑦 ≤ 1 is situated
[A]
I, II
[B]
I, III,
[C]
II,III
[D]
All the four quadrant
(14)
The necessary condition for third quadrant region in xy-plane, is
[A]
x>0, y<0
[B]
x<0, y<0
[C]
x<0, y>0
[D]
x<0, y=0
(15)
The value of objective function is maximum under linear constraints
[A]
At the center of feasible region
[B]
At (0,0)
[C]
At any vertex of feasible region
[D]
The vertex which is at maximum distance from (0, 0)
Answer: At any vertex of feasible region
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