ECAT Mathematics Chapter 21 online mcq test with answers for chapter 21 (Linear Inequalities and Linear Programming)

Question # 1

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

The cost of one apple A
The cost of one orange B
Both have equal cost per item C
Cost of each single item can not be determined D

Question # 2

ax + by < c is linear inequality in

four variables A
three variables B
two variables C
one variable D

Question # 3

If ab > 0 and a < 0, which of the following is negative?

b A
-b B
-a C
(a - b)² D

Question # 4

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

Parabola A
Circle B
Hyperbola C
Straight line D

Question # 5

A point (x,y) which satisfy a linear inequality in two variables form its

Solution A
Domain B
Range C
None D

Question # 6

The graph of y> 0 is the upper - half of:

y-axis A
x-axis B
1st and 4th quandrant C
2nd and 3rd quadrant D

Question # 7

The point (1,3) is one solution of

3x + 5y > 29 A
3x + 5y < 7 B
x + 2y < 4 C
x + 4y > 3 D

Question # 8

3x + 4 < 0 is

not inequality A
equation B
identity C
inequality D

Question # 9

x = -1 is in the solution of the inequality

x + 5 < 0 A
2x + 3 < 0 B
x > 0 C
2x + 3 > 0 D

Question # 10

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

(3, 0) A
(4, 1) B
(1, 3) C
None D

Question # 11

The point ________ is in the solution of the inequality 4x - 3y < 2

(0,1) A
(2,1) B
(2,2) C
(3,3) D

Question # 12

(0,0) is in the solution of the inequality

x + y > 3 A
x - y > 2 B
3x + 2y > 5 C
3x - 2y < 2 D

Question # 13

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

(1, -1) A
(2,2) B
(0,0) C
(3,0) D

Question # 14

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

Vertex of the solution A
Feasible point B
Point of inequality C
Null point of the solution region D

Question # 15

Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0

(1,4) A
(4,2) B
(3,1) C
(4,1) D

Question # 16

x = _________ is in the solution of 2x + 3 < 0

0 A
2 B
-1 C
-2 D

Question # 17

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

2x + y > 8 A
2x + y < 6 B
2x - y > 1 C
2x + 3y < 2 D

Question # 18

The graph of the linear equation of the form ax =by = c is a line which divided the plane into:

Two similar regions A
Two disjoint regions B
Four equal parts C
One region D

Question # 19

The corner point of the boundary lines, x-2y
2x + y = 2 is:

(2,6) A
(6,2) B
(-2,2) C
(2,-2) D

Question # 20

For which of the following ordered pairs (s, t) is s + t > 2 and s - t < -3?

(3, 2) A
(2, 3) B
(1, 8) C
(0, 3) D

Question # 21

If -1 < x < 0, which of the following statements must be true?

x < x²< x³ A
x < x³< x² B
x²< x³< x C
x²< x < x³ D

Question # 22

Optimal solution is found by evaluation the objective function at

All point of feasible region A
Corner point B
Origin C
None D

Question # 23

3x + 4 = 0 is

not inequality A
equation B
identity C
inequality D

Question # 24

Optimize means ______ a quantity under certain constraints

Minimize A
Maximize B
Maximize or minimize C
None of these D

Question # 25

The set of ordered pairs (x,y) such that ax+ by < c, and (x,y) such that ax + by>0, are called

Half planes A
Boundary B
Linear Inequalities C
Feasible regions D

Question # 26

The solution set of x < 4 is

-∞< x < 4 A
-∞> x > 4 B
-∞< x < 2 C
-∞> x > 2 D

Question # 27

Sum of two quantities is at least 20 is denoted by

x +y =20 A
x +y≥ 20 B
x +y≠ 20 C
x +y≤20 D

Question # 28

3x + 4 > 0 is

equation A
identity B
inequality C
none of these D

Question # 29

3x + 4 > 0 is

equation A
inequality B
identity C
none of these D

Question # 30

The point ________ is in the solution of the inequality 2x - 3y < 4

(0, -2) A
(1, -3) B
(2, 2) C
(3, 0) D

Sr.#	Question	Answer
1	The graph of y> 0 is the upper - half of:	A. y-axis B. x-axis C. 1st and 4th quandrant D. 2nd and 3rd quadrant
2	3x + 4 > 0 is	A. equation B. inequality C. identity D. none of these
3	x = ________ is in the solution of 2x - 5 > 0	A. 0 B. 2 C. -2 D. 3
4	x = 0 is in the solution of the inequality	A. x > 0 B. 3x + 4 < 0 C. x + 3 < 0 D. x - 2 < 0
5	The real numbers which satisfy an inequality form its	A. solution B. coefficient C. domain D. range
6	Which is in the solution set of 4x - 3y < 2	A. (3, 0) B. (4, 1) C. (1, 3) D. None
7	The point ________ is in the solution of the inequality 4x - 3y < 2	A. (0,1) B. (2,1) C. (2,2) D. (3,3)
8	Sum of two quantities is at least 20 is denoted by	A. x +y =20 B. x +y≥ 20 C. x +y≠ 20 D. x +y≤20
9	The set of ordered pairs (x,y) such that ax+ by < c, and (x,y) such that ax + by>0, are called	A. Half planes B. Boundary C. Linear Inequalities D. Feasible regions
10	(1,0) is in the solution of the inequality	A. 3x + 2y > 8 B. 2x - 3y < 4 C. 2x + 3y > 3 D. x - 2y < -5

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ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 21 (Linear Inequalities and Linear Programming)

MCQ's Test For ECAT (Pre-Eng) Mathematics Chapter 21 Linear Inequalities & Linear Programming

ECAT (Pre-Eng) Mathematics Chapter 21 Linear Inequalities & Linear Programming

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

ax + by < c is linear inequality in

If ab > 0 and a < 0, which of the following is negative?

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

A point (x,y) which satisfy a linear inequality in two variables form its

The graph of y> 0 is the upper - half of:

The point (1,3) is one solution of

3x + 4 < 0 is

x = -1 is in the solution of the inequality

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

The point ________ is in the solution of the inequality 4x - 3y < 2

(0,0) is in the solution of the inequality

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

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

Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0

x = _________ is in the solution of 2x + 3 < 0

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

The graph of the linear equation of the form ax =by = c is a line which divided the plane into:

The corner point of the boundary lines, x-2y2x + y = 2 is:

For which of the following ordered pairs (s, t) is s + t > 2 and s - t < -3?

If -1 < x < 0, which of the following statements must be true?

Optimal solution is found by evaluation the objective function at

3x + 4 = 0 is

Optimize means ______ a quantity under certain constraints

The set of ordered pairs (x,y) such that ax+ by < c, and (x,y) such that ax + by>0, are called

The solution set of x < 4 is

Sum of two quantities is at least 20 is denoted by

3x + 4 > 0 is

3x + 4 > 0 is

The point ________ is in the solution of the inequality 2x - 3y < 4

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The corner point of the boundary lines, x-2y
2x + y = 2 is: