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

(2, -2)

(1, 2)

(2, 1)

(2, 2)

2. Non negative constraints are also known as

None of these

Dependent variables

Discrete variable

Decision variables

3. A vertical line divides the plane into

None of these

Upper and lower half planes

Left and right half planes

Both a and b

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

Coefficient

Solution

Argument

None of these

5. Feasible region is a region restricted b the

None of these

First quadrant

2nd quadrant

3rd quadrant

6. ax + b < c is linear inequality in

Two variables

Three variables

One variables

Four variables

7. Which mathematician introduced linear programming?

Cauchy

Newton

Leibniz

Leonrd

8. (3, 2) is not in the solution of inequality

x + 3y > 0

3x + 5y > 7

3x + 5y < 7

7x + 2y > 3

9. 2x + 3 ≤ 0 us

Inequality

Equation

Identity

Not inequality

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

None of these

Vertex

Corner point

Both a and b

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

None of these

Cubic

Quadratic

Linear

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

Constants

Solution

Constraints

None of these

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

x + 4 < 0

x + 4 > 0

2x + 3 < 0

x < 0

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

Coefficient

Argument

Solution

None of these

15. (0, 0) is in the solution of inequality

3x – 7y < 3

x + y > 2

3x + 5y > 7

x – y > 1

16. x = 5 is in the solution of inequality

2x – 3 > 0

x < 0

2x + 3 < 0

x + 4 < 0

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

2x – 3 < 0

2x + 3 > 0

x + 5 > 0

x + 4 > 0

18. The solution set of x < 4 is

-∞

19. (0, 0) is not in solution of inequality

x – 3y < 0

7x + 2y < 3

3x + 5y > 7

3x + 5y < 7

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

Optimization

Both a and b

None of these

Solution

21. There are _________ feasible solution in the feasible region

In finite

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

x – 3y > 0

3x + 5y < 7

7x + 2y > 3

3x + 5y > 7

23. 3x = 3y > 0 is linear inequality in

Two variable

One variable

Three variable

Four variable

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

3x + 4 < 0

3x + 3 < 0

3x + 11 > 0

3x + 11 < 0

25. A function which is to be maximized is called

Subjective function

Qualitative function

Quantitative function

Objective function

Page 2 of 2

26. ax + by < c is linear inequality in

One variables

Four variable

Two variables

Three variable

27. The graph of linear inequality with two variables represents

Region

Ellipse

None of these

Circle

28. Each point of feasible region is called

Feasible solution

None of these

Vertex

Corner point

29. (0, 1) is in the solution of inequality

None of these

x – 3y > 0

3x + 5y > 7

3x + 5y < 7

30. ax + b < c is

Identity

Not inequality

Equation

Liner inequality

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

Objective solution

Objective function

None of these

Feasible region

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

Constants

Solution

Constraints

None of these

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

None of these

Both a and b

Corresponding equation

Associated equation

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

(-2, 6)

(2, 3)

(1, 3)

None of these

35. 2x + 3 = 0 is

Identity

Equation

Not inequality

Inequality

36. The regions of inequality is also called

Lines

Half plane

None of these

Planes

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

≥

≤

38. x = 4 is in the solution of

x – 3 = 0

x – 3 < 0

x + 3 > 0

x + 3 = 0

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

3x + 5y > 7

x + y > 2

3x + 7y < 3

x + y ≤ 1

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

None of these

Test point

Corner point

Boundary point

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

Non – Ve

Negative

None of these

Feasible region

42. 2x + 3 ≥ 0 is

Inequality

Identity

Not inequality

Equality

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

Linear equation

Identity

Equation

Inequality

44. x – 1 is the solution of inequality

x + 4 < 0

x > 0

2x + 3 < 0

x + 4 > 0

45. 2x – 7y > 3 is linear inequality in

Three variable

Two variable

Four variable

One variable

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

Lower side

Right

Upper side

Left

47. Non- negative constraints are called ___________

Discreet

Continuous

Decision

Dependent

48. 2x + 3 < 0 is

Inequality

Not inequality

Identity

Equation

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

Circle

Half plane

Parabola

Ellipse

50. (3, 2) is in the solution of inequality

x – y > 1

3x – 7y > 3

x – y ≥ 1

x + y < 2

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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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ECAT Math Linear Inequalities and Linear Programming

ECAT Math Linear Inequalities and Linear Programming Chapter Online Test

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