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Mathematics Linear Inequalities and Linear Programming Test Online

Maan AliLast Updated: October 15, 2025

Important Math Linear Inequalities and Linear Programming Question and Answer

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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Mathematics Linear Inequalities and Linear Programming Practice Test Online With Explanation

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Page 1 of 2

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

x + 4 < 0

2x + 3 < 0

x + 4 > 0

x < 0

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

Argument

None of these

Coefficient

Solution

3. ax + by < c is linear inequality in

Three variable

Four variable

Two variables

One variables

4. ax + b < c is linear inequality in

Four variables

One variables

Two variables

Three variables

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

(1, 2)

(2, 1)

(2, 2)

(2, -2)

6. (0, 0) is not in solution of inequality

3x + 5y < 7

7x + 2y < 3

3x + 5y > 7

x – 3y < 0

7. The graph of linear inequality with two variables represents

Ellipse

None of these

Circle

Region

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

2x – 3 < 0

2x + 3 > 0

x + 4 > 0

x + 5 > 0

9. Each point of feasible region is called

Feasible solution

Vertex

None of these

Corner point

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

Optimization

Solution

None of these

Both a and b

11. 2x + 3 < 0 is

Equation

Identity

Not inequality

Inequality

12. (3, 2) is not in the solution of inequality

7x + 2y > 3

x + 3y > 0

3x + 5y > 7

3x + 5y < 7

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

None of these

Solution

Constants

Constraints

14. 3x = 3y > 0 is linear inequality in

Four variable

One variable

Three variable

Two variable

15. ax + b < c is

Equation

Identity

Not inequality

Liner inequality

16. (0, 0) is in the solution of inequality

x + y > 2

3x – 7y < 3

x – y > 1

3x + 5y > 7

17. A function which is to be maximized is called

Qualitative function

Objective function

Subjective function

Quantitative function

18. Non- negative constraints are called ___________

Dependent

Discreet

Decision

Continuous

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

Corner point

Boundary point

Test point

None of these

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

None of these

Both a and b

Corresponding equation

Associated equation

21. Feasible region is a region restricted b the

None of these

First quadrant

2nd quadrant

3rd quadrant

22. (0, 0) is in the solution of inequality

3x + 5y < 7

3x + 5y > 7

x – 3y > 0

7x + 2y > 3

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

3x + 11 < 0

3x + 4 < 0

3x + 3 < 0

3x + 11 > 0

24. 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

Linear equation

Identity

Inequality

25. 2x + 3 ≤ 0 us

Inequality

Not inequality

Equation

Identity

Page 2 of 2

26. x – 1 is the solution of inequality

x + 4 > 0

x > 0

x + 4 < 0

2x + 3 < 0

27. x = 5 is in the solution of inequality

x < 0

x + 4 < 0

2x + 3 < 0

2x – 3 > 0

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

Lower side

Upper side

Left

Right

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

Non – Ve

Negative

None of these

Feasible region

30. (3, 2) is in the solution of inequality

x + y < 2

x – y > 1

x – y ≥ 1

3x – 7y > 3

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

(-2, 6)

(1, 3)

(2, 3)

None of these

32. 2x – 7y > 3 is linear inequality in

One variable

Four variable

Two variable

Three variable

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

Argument

None of these

Coefficient

Solution

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

Circle

Parabola

Ellipse

Half plane

35. A vertical line divides the plane into

Left and right half planes

Both a and b

Upper and lower half planes

None of these

36. x = 4 is in the solution of

x + 3 > 0

x – 3 = 0

x + 3 = 0

x – 3 < 0

37. The solution set of x < 4 is

-∞

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

≥

≤

39. (3, 2) is not in the solution of inequality?

x + y ≤ 1

3x + 7y < 3

3x + 5y > 7

x + y > 2

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

Solution

None of these

Constants

Constraints

41. (0, 1) is in the solution of inequality

x – 3y > 0

None of these

3x + 5y < 7

3x + 5y > 7

42. The regions of inequality is also called

Half plane

Lines

None of these

Planes

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

Cubic

None of these

Linear

Quadratic

44. Which mathematician introduced linear programming?

Leibniz

Newton

Cauchy

Leonrd

45. There are _________ feasible solution in the feasible region

In finite

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

Corner point

Both a and b

Vertex

None of these

47. 2x + 3 = 0 is

Identity

Equation

Inequality

Not inequality

48. 2x + 3 ≥ 0 is

Identity

Not inequality

Inequality

Equality

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

Objective solution

Feasible region

Objective function

None of these

50. Non negative constraints are also known as

Decision variables

None of these

Dependent variables

Discrete variable

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Maan AliLast Updated: October 15, 2025

Mathematics Linear Inequalities and Linear Programming Test Online

Important Math Linear Inequalities and Linear Programming Question and Answer

Mathematics Linear Inequalities and Linear Programming Practice Test Online With Explanation

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