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.
Test Helpful For:	ECAT Entry Test Mathematics Online Test Interview Questions about Mathematics All Universities Entrance Test Recruitments Tests

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Page 1 of 2

1. The graph of linear inequality with two variables represents

None of these

Circle

Ellipse

Region

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

None of these

Cubic

Quadratic

Linear

3. A function which is to be maximized is called

Subjective function

Qualitative function

Objective function

Quantitative function

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

Argument

None of these

Coefficient

Solution

5. (0, 1) is in the solution of inequality

None of these

3x + 5y < 7

x – 3y > 0

3x + 5y > 7

6. A vertical line divides the plane into

Left and right half planes

None of these

Both a and b

Upper and lower half planes

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

Corner point

None of these

Boundary point

Test point

8. The solution set of x < 4 is

-∞

9. (3, 2) is not in the solution of inequality?

x + y > 2

x + y ≤ 1

3x + 5y > 7

3x + 7y < 3

10. Each point of feasible region is called

Vertex

Corner point

None of these

Feasible solution

11. The regions of inequality is also called

Lines

None of these

Planes

Half plane

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

x + 3y > 0

3x + 5y > 7

3x + 5y < 7

7x + 2y > 3

13. 2x + 3 < 0 is

Equation

Identity

Inequality

Not inequality

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

3x + 3 < 0

3x + 4 < 0

3x + 11 > 0

3x + 11 < 0

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

Solution

None of these

Constants

Constraints

16. (3, 2) is in the solution of inequality

3x – 7y > 3

x – y > 1

x + y < 2

x – y ≥ 1

17. (0, 0) is not in solution of inequality

7x + 2y < 3

3x + 5y > 7

3x + 5y < 7

x – 3y < 0

18. 2x + 3 = 0 is

Identity

Inequality

Equation

Not inequality

19. x = 4 is in the solution of

x – 3 = 0

x + 3 = 0

x – 3 < 0

x + 3 > 0

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

Constants

None of these

Constraints

Solution

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

None of these

Objective function

Objective solution

Feasible region

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

Solution

Optimization

None of these

Both a and b

23. Feasible region is a region restricted b the

2nd quadrant

First quadrant

3rd quadrant

None of these

24. (0, 0) is in the solution of inequality

3x + 5y < 7

3x + 5y > 7

x – 3y > 0

7x + 2y > 3

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

Coefficient

Argument

None of these

Solution

Page 2 of 2

26. 2x + 3 ≤ 0 us

Not inequality

Equation

Identity

Inequality

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

Inequality

Linear equation

Equation

Identity

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

Half plane

Parabola

Ellipse

Circle

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

None of these

Both a and b

Corner point

Vertex

30. Which mathematician introduced linear programming?

Leonrd

Leibniz

Cauchy

Newton

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

None of these

(1, 3)

(2, 3)

(-2, 6)

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

Non – Ve

None of these

Feasible region

Negative

33. ax + b < c is

Equation

Liner inequality

Not inequality

Identity

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

2x + 3 > 0

x + 4 > 0

x + 5 > 0

2x – 3 < 0

35. ax + by < c is linear inequality in

Four variable

Two variables

One variables

Three variable

36. 3x = 3y > 0 is linear inequality in

One variable

Four variable

Two variable

Three variable

37. ax + b < c is linear inequality in

One variables

Two variables

Four variables

Three variables

38. Non negative constraints are also known as

None of these

Discrete variable

Dependent variables

Decision variables

39. x = 5 is in the solution of inequality

x < 0

2x + 3 < 0

x + 4 < 0

2x – 3 > 0

40. Non- negative constraints are called ___________

Continuous

Dependent

Discreet

Decision

41. There are _________ feasible solution in the feasible region

In finite

42. 2x – 7y > 3 is linear inequality in

Two variable

Four variable

One variable

Three variable

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

≤

≥

44. (0, 0) is in the solution of inequality

3x – 7y < 3

x – y > 1

x + y > 2

3x + 5y > 7

45. 2x + 3 ≥ 0 is

Identity

Equality

Not inequality

Inequality

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

(2, 2)

(2, 1)

(1, 2)

(2, -2)

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

Lower side

Right

Upper side

Left

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

x < 0

x + 4 > 0

2x + 3 < 0

x + 4 < 0

49. x – 1 is the solution of inequality

2x + 3 < 0

x > 0

x + 4 > 0

x + 4 < 0

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

Corresponding equation

None of these

Both a and b

Associated equation

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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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