Home/ECAT/ECAT Mathematics Linear Inequalities and Linear Programming Test Online

ECAT Mathematics Linear Inequalities and Linear Programming Test Online

Danial MalikLast Updated: April 18, 2025

ECAT Math Linear Inequalities and Linear Programming

ECAT Math Linear Inequalities and Linear Programming Chapter Online Test

Total Questions:	50
Time Allowed:	20 Minutes
Total Marks:	50
How to Attempt Test:	Please choose the right Option in MCQ-type question.
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Page 1 of 2

1. The regions of inequality is also called

Half plane

Planes

None of these

Lines

2. The variables used in the system of linear in equality is

Negative

None of these

Non – Ve

Feasible region

3. 2x + 3 < 0 is

Inequality

Equation

Identity

Not inequality

4. x = 0 is not in the solution of inequality

x + 5 > 0

2x + 3 > 0

2x – 3 < 0

x + 4 > 0

5. ax + by < c is linear inequality in

Four variable

Two variables

Three variable

One variables

6. The symbol used for less than or equal to is

≥

≤

7. The graph of linear inequality with two variables represents

Circle

Ellipse

Region

None of these

8. x = -1 is in the solution of inequality

3x + 11 < 0

3x + 11 > 0

3x + 3 < 0

3x + 4 < 0

9. 2x + 3 = 0 is

Identity

Not inequality

Inequality

Equation

10. (3, 2) is not in the solution of inequality

3x + 5y < 7

x + 3y > 0

3x + 5y > 7

7x + 2y > 3

11. (0, 0) is in the solution of inequality

x – y > 1

3x + 5y > 7

3x – 7y < 3

x + y > 2

12. The process used to maximize or minimize a quantity is called

Solution

Both a and b

Optimization

None of these

13. A point of solution region where two of its boundary line intersect is called

Vertex

Corner point

Both a and b

None of these

14. x = 4 is in the solution of

x + 3 = 0

x + 3 > 0

x – 3 < 0

x – 3 = 0

15. Non negative constraints are also known as

None of these

Decision variables

Dependent variables

Discrete variable

16. The points (x, y) which satisfy the linear inequality in two variables x and y form is

Argument

None of these

Coefficient

Solution

17. ax + b < c is

Not inequality

Equation

Identity

Liner inequality

18. A function which is to be maximized is called

Qualitative function

Objective function

Subjective function

Quantitative function

19. (0, 1) is in the solution of inequality

x – 3y > 0

3x + 5y < 7

None of these

3x + 5y > 7

20. An expression involving any one of the symbols < (less than,) > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to) is called

Equation

Inequality

Identity

Linear equation

21. For ax + by ≤ c the equation ax + by = c is called

Associated equation

Both a and b

None of these

Corresponding equation

22. X = -5 is not in the solution of inequality

x + 4 < 0

2x + 3 < 0

x + 4 > 0

x < 0

23. (3, 2) is in the solution of inequality

x + y < 2

x – y > 1

3x – 7y > 3

x – y ≥ 1

24. 2x + 3 ≤ 0 us

Not inequality

Inequality

Identity

Equation

25. x – 1 is the solution of inequality

x + 4 < 0

x + 4 > 0

2x + 3 < 0

x > 0

Page 2 of 2

26. There are _________ feasible solution in the feasible region

In finite

27. x = 5 is in the solution of inequality

x + 4 < 0

2x + 3 < 0

2x – 3 > 0

x < 0

28. The solution set of the inequality ax + by < c is the

Parabola

Ellipse

Circle

Half plane

29. 2x + 3 ≥ 0 is

Not inequality

Identity

Inequality

Equality

30. 2x – 7y > 3 is linear inequality in

Three variable

Two variable

One variable

Four variable

31. Feasible region is a region restricted b the

None of these

3rd quadrant

First quadrant

2nd quadrant

32. A point which is used is determine position of half plane is called

Corner point

None of these

Test point

Boundary point

33. The solution set of the in equality 2x + y ≤ 6 lies on _________ of boundary line.

Right

Left

Upper side

Lower side

34. The real numbers x which satisfy the linear inequality in one variable x from is

Argument

Solution

None of these

Coefficient

35. A function which is used to maximize or minimize a quantity is called

Objective solution

Feasible region

Objective function

None of these

36. A vertical line divides the plane into

Upper and lower half planes

None of these

Both a and b

Left and right half planes

37. (3, 2) is not in the solution of inequality?

x + y ≤ 1

3x + 5y > 7

3x + 7y < 3

x + y > 2

38. That values of variables which satisfy an inequality are called its

Constraints

None of these

Solution

Constants

39. Non- negative constraints are called ___________

Decision

Continuous

Discreet

Dependent

40. The corner point for x – 2y ≤ 6 and 2x + y ≥ 2

(2, 2)

(1, 2)

(2, 1)

(2, -2)

41. The solution set of x < 4 is

-∞

42. 3x = 3y > 0 is linear inequality in

Three variable

Two variable

Four variable

One variable

43. An equation in each term has degree one is called

Linear

None of these

Cubic

Quadratic

44. ax + b < c is linear inequality in

Four variables

Two variables

Three variables

One variables

45. (0, 0) is in the solution of inequality

3x + 5y < 7

7x + 2y > 3

3x + 5y > 7

x – 3y > 0

46. (0, 0) is not in solution of inequality

3x + 5y > 7

3x + 5y < 7

x – 3y < 0

7x + 2y < 3

47. The corner point for x – 2y ≤ 6 and x + 2y ≤ 10 is

(1, 3)

(-2, 6)

(2, 3)

None of these

48. Each point of feasible region is called

Feasible solution

Vertex

Corner point

None of these

49. Which mathematician introduced linear programming?

Leibniz

Newton

Leonrd

Cauchy

50. The variables used in system of linear inequality are also known as

Constants

Constraints

Solution

None of these

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Danial MalikLast Updated: April 18, 2025

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ECAT Mathematics Linear Inequalities and Linear Programming Test Online

ECAT Math Linear Inequalities and Linear Programming

ECAT Math Linear Inequalities and Linear Programming Chapter Online Test

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Danial Malik

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ECAT Math Linear Inequalities and Linear Programming

ECAT Math Linear Inequalities and Linear Programming Chapter Online Test

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Danial Malik

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