Question # 1

(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

x = ________ is in the solution of 2x - 3 < 0

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2

-2

3

4

Which is in the solution set of 4x - 3y < 2

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(3, 0)

(4, 1)

(1, 3)

None

A function which is to be maximized or minimized is called an

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Explicit function

Implicit function

Objective function

None

The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is

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120

100

140

160

The point _________ is in the solution of the inequality 2x + 3y < 5

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(1,1)

(2,2)

(0,1)

(0,2)

(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

ax + by < c is linear inequality in

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four variables

three variables

two variables

one variable

There may be ______ feasible solution in the feasible region

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Infinite

Finite

Defined

None of above

The total cost of 2 apples and 3 oranges is $1.70, which of the following is true

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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

x = -1 is in the solution of the inequality

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x + 5 < 0

2x + 3 < 0

x > 0

2x + 3 > 0

3x + 4 > 0 is

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equation

inequality

identity

none of these

Optimal solution is found by evaluation the objective function at

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All point of feasible region

Corner point

Origin

None

A point of a solution region where two of its boundary lines intersect, is called

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Boundary

Inequality

Half plane

Vertex

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?

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x - y = -6

x - y < -6

x - y > -6

None

3x + 4 < 0 is

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not inequality

equation

identity

inequality

A point of a solution regions where two of its boundary lines intersect, is called:

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Vertex of the solution

Feasible point

Point of inequality

Null point of the solution region

r + 3 >5 then which is true

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r + 2 > 4

r + 2 < 4

r + 2 = 4

None

2x + 3y > 4 is a linear inequality in

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one variable

two variables

three variables

none of these

(1, 1) is the in the solution of the inequality

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3x + 4y > 3

2x + 3y < 2

4x = 3y > 5

2c - 3y > 2

A ________ divides the plane into left and right half planes.

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Vertical line

Horizontal line

Non vertical line

Inequality

The point (1,3) is one solution of

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3x + 5y > 29

3x + 5y < 7

x + 2y < 4

x + 4y > 3

The point ________ is in the solution of the inequality 2x - 3y > 5

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(1, -1)

(2,2)

(0,0)

(3,0)

The graph of linear equation 2x + 3y = 10

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Parabola

Circle

Hyperbola

Straight line

Sum of two quantities is at least 20 is denoted by

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x +y =20

x +y≥ 20

x +y≠ 20

x +y≤20

The points (x, y) which satisfy a linear inequality in two variables x and y from its

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domain

range

solution

none of these

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)

Multiplying each side of an inequality by (-1) will:

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Not effect

Change the sign

Become zero

Not defined

If x < y, 2x = A, and 2y = B, then

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A = B

A < B

A < x

B < y

The corner point of the boundary lines, x- 2x

x+2y=10 is:

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(8,1)

(1,8)

(6,10)

(3,5)

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ECAT Mathematics Chapter 21 Linear Inequalities and Linear Programming Online Test MCQs With Answers

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