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ECAT Pre General Science Mathematics Chapter 21 Linear Inequalities and Linear Programming Online Test MCQs With Answers
Question # 1
x = _________ is in the solution of 2x + 3 < 0
Choose an answer
0
2
-1
-2
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Question # 2
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 # 3
The points (x, y) which satisfy a linear inequality in two variables x and y from its
Choose an answer
domain
range
solution
none of these
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Question # 4
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 # 5
If x < y, 2x = A, and 2y = B, then
Choose an answer
A = B
A < B
A < x
B < y
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Question # 6
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 # 7
The point ________ is in the solution of the inequality 2x - 3y < 4
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(0, -2)
(1, -3)
(2, 2)
(3, 0)
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Question # 8
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 # 9
If 4 - x >5, then
Choose an answer
x > 1
x > -1
x < 1
x < -1
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Question # 10
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 # 11
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 # 12
Optimize means ______ a quantity under certain constraints
Choose an answer
Minimize
Maximize
Maximize or minimize
None of these
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Question # 13
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 # 14
An expression involving any of the symbols <,>,
<
or
>
is called
Choose an answer
equation
inequality
linear equation
identity
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Question # 15
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 # 16
(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 # 17
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 # 18
x = ________ is in the solution of 2x + 3
>
0
Choose an answer
1
-2
-3
-4
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Question # 19
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 # 20
3x + 4
>
0 is
Choose an answer
equation
inequality
identity
none of these
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Question # 21
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 # 22
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 # 23
x = ________ is in the solution of 2x - 3 < 0
Choose an answer
2
-2
3
4
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Question # 24
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 # 25
There may be ______ feasible solution in the feasible region
Choose an answer
Infinite
Finite
Defined
None of above
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Question # 26
Each point of the feasible region is called
Choose an answer
Solution
feasible solution
Both a & b
None
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Question # 27
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 # 28
If -1 < x < 0, which of the following statements must be true?
Choose an answer
x < x
2
< x
3
x < x
3
< x
2
x
2
< x
3
< x
x
2
< x < x
3
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Question # 29
A point (x,y) which satisfy a linear inequality in two variables form its
Choose an answer
Solution
Domain
Range
None
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Question # 30
Choose an answer
p < r
p > rr
p + r < 0
p - r < 0
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