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ECAT Mathematics Chapter 21 Linear Inequalities and Linear Programming Online Test MCQs With Answers
Question # 1
3x + 4 < 0 is
Choose an answer
inequality
equation
identity
not inequality
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Question # 2
x = ________ is in the solution of 2x - 3 < 0
Choose an answer
2
-2
3
4
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Question # 3
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 # 4
ab > 0 and a > 0 then
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a > b
a < b
a = b
None
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Question # 5
If ab > 0 and a < 0, which of the following is negative?
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b
-b
-a
(a - b)
2
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Question # 6
3x + 4
<
0 is
Choose an answer
not inequality
equation
identity
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
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 # 9
Each point of the feasible region is called
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Solution
feasible solution
Both a & b
None
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Question # 10
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 # 11
x = ________ is in the solution of 2x + 3
>
0
Choose an answer
1
-2
-3
-4
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Question # 12
(1, 2) is in the solution of the inequality
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2x + y > 8
2x + y
<
6
2x - y > 1
2x + 3y < 2
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Question # 13
x = -1 is in the solution of the inequality
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x + 5 < 0
2x + 3
<
0
x > 0
2x + 3 > 0
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Question # 14
The point (1,3) is one solution of
Choose an answer
3x + 5y > 29
3x + 5y < 7
x + 2y < 4
x + 4y > 3
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Question # 15
If x < y, 2x = A, and 2y = B, then
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A = B
A < B
A < x
B < y
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Question # 16
Optimize means ______ a quantity under certain constraints
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Minimize
Maximize
Maximize or minimize
None of these
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Question # 17
Which of the following ordered pair is a solution of the inequality x+2y<6?
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(2,3)
(2,2)
(6,0)
(1,1)
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Question # 18
r + 3 >5 then which is true
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r + 2 > 4
r + 2 < 4
r + 2 = 4
None
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Question # 19
The point ________ is in the solution of the inequality 4x - 3y < 2
Choose an answer
(0,1)
(2,1)
(2,2)
(3,3)
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Question # 20
(0,0) is in the solution of the inequality
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x + y > 3
x - y > 2
3x + 2y > 5
3x - 2y < 2
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Question # 21
Which is not a half plane
Choose an answer
ax + by < c
ax + by > c
Both A and B
None
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Question # 22
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 # 23
The point ________ is in the solution of the inequality 2x - 3y > 5
Choose an answer
(1, -1)
(2,2)
(0,0)
(3,0)
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Question # 24
ax + by < c is linear inequality in
Choose an answer
four variables
three variables
two variables
one variable
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Question # 25
The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is
Choose an answer
120
100
140
160
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Question # 26
(1,0) is in the solution of the inequality
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3x + 2y > 8
2x - 3y < 4
2x + 3y > 3
x - 2y < -5
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Question # 27
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 # 28
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 # 29
x = _________ is in the solution of 2x + 3 < 0
Choose an answer
0
2
-1
-2
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Question # 30
3x + 4 > 0 is
Choose an answer
equation
identity
inequality
none of these
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