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Mathematics ECAT Pre Engineering Chapter 21 Linear Inequalities and Linear Programming Online Test MCQs With Answers
Question # 1
A ________ divides the plane into left and right half planes.
Choose an answer
Vertical line
Horizontal line
Non vertical line
Inequality
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Question # 2
The total cost of 2 apples and 3 oranges is $1.70, which of the following is true
Choose an answer
The cost of one apple
The cost of one orange
Both have equal cost per item
Cost of each single item can not be determined
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Question # 3
2x + 3y > 4 is a linear inequality in
Choose an answer
one variable
two variables
three variables
none of these
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Question # 4
For graphing a linear inequality, solid line is drawn if the inequality involves the symbols:
Choose an answer
> or <
>
or
<
= or≠
= or >
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Question # 5
There may be ______ feasible solution in the feasible region
Choose an answer
Infinite
Finite
Defined
None of above
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Question # 6
Inequalities have ______ symbol
Choose an answer
2
3
4
1
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Question # 7
s > t then
Choose an answer
(s - t)
2
> (t - s)
2
(s - t)
2
< (t - s)
2
(s - t)
2
= (t - s)
2
None
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Question # 8
3x + 4 < 0 is
Choose an answer
inequality
equation
identity
not inequality
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Question # 9
(0,1) is in the solution of the inequality
Choose an answer
3x + 2y > 8
2x - 3y < 4
2x + 3y > 5
x -2y < -5
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Question # 10
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 # 11
The real numbers which satisfy an inequality form its
Choose an answer
solution
coefficient
domain
range
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Question # 12
Each point of the feasible region is called
Choose an answer
Solution
feasible solution
Both a & b
None
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Question # 13
r + 3 >5 then which is true
Choose an answer
r + 2 > 4
r + 2 < 4
r + 2 = 4
None
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Question # 14
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 # 15
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 # 16
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 # 17
(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 # 18
Choose an answer
p < r
p > rr
p + r < 0
p - r < 0
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Question # 19
The corner point of the boundary lines, x- 2x
x+2y=10 is:
Choose an answer
(8,1)
(1,8)
(6,10)
(3,5)
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Question # 20
ax + by < c is linear inequality in
Choose an answer
four variables
three variables
two variables
one variable
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Question # 21
(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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Question # 22
If ab > 0 and a < 0, which of the following is negative?
Choose an answer
b
-b
-a
(a - b)
2
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Question # 23
An expression involving any of the symbols <,>,
<
or
>
is called
Choose an answer
equation
inequality
linear equation
identity
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Question # 24
The set of ordered pairs (x,y) such that ax+ by < c, and (x,y) such that ax + by>0, are called
Choose an answer
Linear Inequalities
Feasible regions
Half planes
Boundary
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Question # 25
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 # 26
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 # 27
x = ________ is in the solution of 2x + 3
>
0
Choose an answer
1
-2
-3
-4
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Question # 28
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 # 29
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 # 30
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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