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ECAT Pre General Science Mathematics Chapter 21 Linear Inequalities and Linear Programming Online Test MCQs With Answers
Question # 1
The solution set of x < 4 is
Choose an answer
-
∞
< x < 4
-
∞
> x > 4
-
∞
< x < 2
-
∞
> x > 2
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Question # 2
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 # 3
(1, 1) is the in the solution of the inequality
Choose an answer
3x + 4y > 3
2x + 3y < 2
4x = 3y > 5
2c - 3y > 2
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Question # 4
3x + 4
>
0 is
Choose an answer
equation
inequality
identity
none of these
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Question # 5
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 # 6
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 # 7
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 # 8
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 # 9
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 # 10
Optimize means ______ a quantity under certain constraints
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Minimize
Maximize
Maximize or minimize
None of these
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Question # 11
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 # 12
(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 # 13
x = _________ is in the solution of 2x + 3 < 0
Choose an answer
0
2
-1
-2
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Question # 14
ab > 0 and a > 0 then
Choose an answer
a > b
a < b
a = b
None
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Question # 15
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 # 16
(0,1) is in the solution of the inequality
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3x + 2y > 8
2x - 3y < 4
2x + 3y > 5
x -2y < -5
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Question # 17
The graph of y> 0 is the upper - half of:
Choose an answer
y-axis
x-axis
1st and 4th quandrant
2nd and 3rd quadrant
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Question # 18
Order (or sense) of an inequality is changed by multiplying or dividing its each side by a:
Choose an answer
Zero
one
negative constant
Non negative constant
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Question # 19
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 # 20
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 # 21
3x + 4 > 0 is
Choose an answer
equation
identity
inequality
none of these
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Question # 22
Each point of the feasible region is called
Choose an answer
Solution
feasible solution
Both a & b
None
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Question # 23
x = ________ is in the solution of 2x + 3
>
0
Choose an answer
1
-2
-3
-4
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Question # 24
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 # 25
The point _________ is in the solution of the inequality 2x + 3y < 5
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(1,1)
(2,2)
(0,1)
(0,2)
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Question # 26
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 # 27
An expression involving any of the symbols <,>,
<
or
>
is called
Choose an answer
equation
inequality
linear equation
identity
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Question # 28
(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 # 29
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 # 30
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 # 31
There may be ______ feasible solution in the feasible region
Choose an answer
Infinite
Finite
Defined
None of above
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