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

Page 1 of 2

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

None of these

Corresponding equation

Associated equation

Both a and b

2. The solution set of x < 4 is

-∞

3. 2x + 3 ≤ 0 us

Identity

Not inequality

Equation

Inequality

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

None of these

Solution

Coefficient

Argument

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

Ellipse

Half plane

Circle

Parabola

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

Both a and b

None of these

Optimization

Solution

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

Upper side

Lower side

Left

Right

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

Corner point

None of these

Boundary point

Test point

9. ax + b < c is

Equation

Not inequality

Liner inequality

Identity

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

Solution

None of these

Constraints

Constants

11. A function which is to be maximized is called

Objective function

Qualitative function

Quantitative function

Subjective function

12. Each point of feasible region is called

Feasible solution

None of these

Corner point

Vertex

13. Non- negative constraints are called ___________

Discreet

Continuous

Dependent

Decision

14. 2x + 3 = 0 is

Inequality

Not inequality

Equation

Identity

15. 2x + 3 ≥ 0 is

Inequality

Not inequality

Equality

Identity

16. Non negative constraints are also known as

Decision variables

None of these

Discrete variable

Dependent variables

17. The graph of linear inequality with two variables represents

Region

Circle

None of these

Ellipse

18. x = 5 is in the solution of inequality

x < 0

2x – 3 > 0

x + 4 < 0

2x + 3 < 0

19. Feasible region is a region restricted b the

2nd quadrant

3rd quadrant

First quadrant

None of these

20. The regions of inequality is also called

None of these

Planes

Half plane

Lines

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

None of these

Solution

Constraints

Constants

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

Feasible region

Negative

Non – Ve

None of these

23. (0, 1) is in the solution of inequality

None of these

3x + 5y < 7

3x + 5y > 7

x – 3y > 0

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

≤

≥

25. x = 4 is in the solution of

x – 3 = 0

x – 3 < 0

x + 3 > 0

x + 3 = 0

Page 2 of 2

26. 3x = 3y > 0 is linear inequality in

One variable

Two variable

Four variable

Three variable

27. (0, 0) is in the solution of inequality

3x + 5y < 7

x – 3y > 0

7x + 2y > 3

3x + 5y > 7

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

2x + 3 < 0

x + 4 < 0

x < 0

x + 4 > 0

29. There are _________ feasible solution in the feasible region

In finite

30. (3, 2) is not in the solution of inequality?

3x + 7y < 3

x + y > 2

3x + 5y > 7

x + y ≤ 1

31. 2x – 7y > 3 is linear inequality in

Four variable

One variable

Two variable

Three variable

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

(2, -2)

(1, 2)

(2, 2)

(2, 1)

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

Corner point

None of these

Vertex

Both a and b

34. ax + b < c is linear inequality in

One variables

Four variables

Three variables

Two variables

35. (3, 2) is not in the solution of inequality

7x + 2y > 3

x + 3y > 0

3x + 5y > 7

3x + 5y < 7

36. 2x + 3 < 0 is

Identity

Inequality

Not inequality

Equation

37. (0, 0) is not in solution of inequality

7x + 2y < 3

3x + 5y < 7

3x + 5y > 7

x – 3y < 0

38. (3, 2) is in the solution of inequality

x – y ≥ 1

x + y < 2

x – y > 1

3x – 7y > 3

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

(-2, 6)

(2, 3)

None of these

(1, 3)

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

Linear

Cubic

Quadratic

None of these

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

3x + 11 < 0

3x + 3 < 0

3x + 11 > 0

3x + 4 < 0

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

Coefficient

Argument

None of these

Solution

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

Identity

Linear equation

Equation

Inequality

44. Which mathematician introduced linear programming?

Cauchy

Leibniz

Leonrd

Newton

45. A vertical line divides the plane into

Both a and b

None of these

Upper and lower half planes

Left and right half planes

46. (0, 0) is in the solution of inequality

3x + 5y > 7

3x – 7y < 3

x + y > 2

x – y > 1

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

Objective function

Feasible region

Objective solution

None of these

48. x – 1 is the solution of inequality

2x + 3 < 0

x > 0

x + 4 > 0

x + 4 < 0

49. ax + by < c is linear inequality in

Two variables

Three variable

Four variable

One variables

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

2x – 3 < 0

x + 4 > 0

x + 5 > 0

2x + 3 > 0

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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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