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Mathematics ECAT Pre Engineering Chapter 21 Linear Inequalities and Linear Programming Online Test MCQs With Answers
Question # 1
The point _________ is in the solution of the inequality 2x + 3y < 5
Choose an answer
(1,1)
(2,2)
(0,1)
(0,2)
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Question # 2
The point ________ is in the solution of the inequality 2x - 3y < 4
Choose an answer
(0, -2)
(1, -3)
(2, 2)
(3, 0)
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Question # 3
The graph of the linear equation of the form ax =by = c is a line which divided the plane into:
Choose an answer
Two similar regions
Two disjoint regions
Four equal parts
One region
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Question # 4
(1, 2) is in the solution of the inequality
Choose an answer
2x + y > 8
2x + y
<
6
2x - y > 1
2x + 3y < 2
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Question # 5
The feasible region which can be enclosed within a circle is called
Choose an answer
Bounded region
Convex region
Unbounded region
None
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Question # 6
3x + 4 < 0 is
Choose an answer
inequality
equation
identity
not inequality
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Question # 7
Choose an answer
p < r
p > rr
p + r < 0
p - r < 0
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Question # 8
(2, 1) is in the solution of the inequality
Choose an answer
2x + y
>
7
x - y > 2
3x + 5y < 6
2x + y < 6
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Question # 9
Which of the following is not a solution of system of inequalities 2x- 3y ≤6,2x +y≥ 2,x +2y≤ 8, x≥ 0,y ≥ 0
Choose an answer
(1,0)
(0,4)
(3,0)
(8,0)
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Question # 10
The corner point of the boundary lines, x-2y
2x + y = 2 is:
Choose an answer
(2,6)
(6,2)
(-2,2)
(2,-2)
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Question # 11
Each point of the feasible region is called
Choose an answer
Solution
feasible solution
Both a & b
None
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Question # 12
Optimal solution is found by evaluation the objective function at
Choose an answer
All point of feasible region
Corner point
Origin
None
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Question # 13
The liner equation ax + by = c is called _________ of the inequality ax +by > c.
Choose an answer
Associated equation
Non-associated equation
disjoint equation
Feasible equation
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Question # 14
Which of the following ordered pair is a solution of the inequality x+2y<6?
Choose an answer
(2,3)
(2,2)
(6,0)
(1,1)
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Question # 15
x = -1 is in the solution of the inequality
Choose an answer
x + 5 < 0
2x + 3
<
0
x > 0
2x + 3 > 0
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Question # 16
A function which is to be maximized or minimized is called an
Choose an answer
Explicit function
Implicit function
Objective function
None
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Question # 17
Multiplying each side of an inequality by (-1) will:
Choose an answer
Not effect
Change the sign
Become zero
Not defined
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Question # 18
A point where two of its boundary lines intersect is called
Choose an answer
Corner point
Feasible point
Vertex
Feasible solution
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Question # 19
3x + 4
<
0 is
Choose an answer
not inequality
equation
identity
inequality
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Question # 20
Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0
Choose an answer
(1,4)
(4,2)
(3,1)
(4,1)
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Question # 21
A point of a solution region where two of its boundary lines intersect, is called
Choose an answer
Boundary
Inequality
Half plane
Vertex
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Question # 22
x = 1 is in the solution of the inequality
Choose an answer
x + 1 > 0
x - 2 > 0
3x - 1 < 0
x + 2 < 0
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Question # 23
Sum of two quantities is at least 20 is denoted by
Choose an answer
x +y =20
x +y≥ 20
x +y≠ 20
x +y≤20
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Question # 24
x is a member of the set [-1, 0, 3, 5] y is a member of the set {-2, 1, 2, 4} which is possible?
Choose an answer
x - y = -6
x - y < -6
x - y > -6
None
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Question # 25
x = 0 is in the solution of the inequality
Choose an answer
x > 0
3x + 4 < 0
x + 3 < 0
x - 2 < 0
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Question # 26
If 4 - x >5, then
Choose an answer
x > 1
x > -1
x < 1
x < -1
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Question # 27
For which of the following ordered pairs (s, t) is s + t > 2 and s - t < -3?
Choose an answer
(3, 2)
(2, 3)
(1, 8)
(0, 3)
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Question # 28
x = ________ is in the solution of 2x - 3 < 0
Choose an answer
2
-2
3
4
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Question # 29
An expression involving any of the symbols <,>,
<
or
>
is called
Choose an answer
equation
inequality
linear equation
identity
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Question # 30
(0,0) is in the solution of the inequality
Choose an answer
x + y > 3
x - y > 2
3x + 2y > 5
3x - 2y < 2
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