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. Each point of feasible region is called

None of these

Vertex

Corner point

Feasible solution

2. 2x + 3 < 0 is

Identity

Not inequality

Equation

Inequality

3. ax + b < c is

Identity

Not inequality

Equation

Liner inequality

4. A function which is to be maximized is called

Quantitative function

Qualitative function

Objective function

Subjective function

5. Non negative constraints are also known as

None of these

Decision variables

Dependent variables

Discrete variable

6. (3, 2) is not in the solution of inequality

3x + 5y > 7

3x + 5y < 7

7x + 2y > 3

x + 3y > 0

7. The regions of inequality is also called

Planes

Lines

Half plane

None of these

8. 2x + 3 ≥ 0 is

Identity

Inequality

Equality

Not inequality

9. 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

Equation

Linear equation

Inequality

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

None of these

(1, 3)

(2, 3)

(-2, 6)

11. x = 4 is in the solution of

x + 3 > 0

x + 3 = 0

x – 3 < 0

x – 3 = 0

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

Solution

Optimization

Both a and b

None of these

13. 2x + 3 ≤ 0 us

Inequality

Identity

Not inequality

Equation

14. (0, 0) is not in solution of inequality

3x + 5y < 7

7x + 2y < 3

x – 3y < 0

3x + 5y > 7

15. 3x = 3y > 0 is linear inequality in

Four variable

One variable

Three variable

Two variable

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

Both a and b

Vertex

None of these

Corner point

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

(1, 2)

(2, 2)

(2, 1)

(2, -2)

18. x – 1 is the solution of inequality

x > 0

x + 4 < 0

2x + 3 < 0

x + 4 > 0

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

x + 5 > 0

2x + 3 > 0

2x – 3 < 0

x + 4 > 0

20. (3, 2) is in the solution of inequality

x – y > 1

x – y ≥ 1

3x – 7y > 3

x + y < 2

21. (3, 2) is not in the solution of inequality?

x + y ≤ 1

3x + 7y < 3

x + y > 2

3x + 5y > 7

22. A vertical line divides the plane into

Both a and b

Upper and lower half planes

None of these

Left and right half planes

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

Cubic

Linear

Quadratic

None of these

24. ax + by < c is linear inequality in

Two variables

One variables

Three variable

Four variable

25. (0, 0) is in the solution of inequality

x – 3y > 0

3x + 5y > 7

3x + 5y < 7

7x + 2y > 3

Page 2 of 2

26. Feasible region is a region restricted b the

None of these

2nd quadrant

First quadrant

3rd quadrant

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

3x + 4 < 0

3x + 11 < 0

3x + 11 > 0

3x + 3 < 0

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

≤

≥

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

None of these

Constraints

Solution

Constants

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

Three variable

Four variable

Two variable

One variable

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

Feasible region

Objective function

None of these

Objective solution

32. ax + b < c is linear inequality in

Four variables

Three variables

Two variables

One variables

33. The graph of linear inequality with two variables represents

Ellipse

Region

Circle

None of these

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

Half plane

Circle

Ellipse

Parabola

35. (0, 1) is in the solution of inequality

None of these

x – 3y > 0

3x + 5y > 7

3x + 5y < 7

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

Boundary point

Test point

None of these

Corner point

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

Corresponding equation

Associated equation

None of these

Both a and b

38. The solution set of x < 4 is

-∞

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

Negative

Non – Ve

Feasible region

None of these

40. x = 5 is in the solution of inequality

x < 0

x + 4 < 0

2x + 3 < 0

2x – 3 > 0

41. There are _________ feasible solution in the feasible region

In finite

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

Constraints

None of these

Solution

Constants

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

Solution

Argument

None of these

Coefficient

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

x – y > 1

3x – 7y < 3

x + y > 2

3x + 5y > 7

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

Upper side

Right

Left

Lower side

46. Which mathematician introduced linear programming?

Leibniz

Newton

Leonrd

Cauchy

47. Non- negative constraints are called ___________

Discreet

Decision

Dependent

Continuous

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

2x + 3 < 0

x + 4 > 0

x < 0

x + 4 < 0

49. 2x + 3 = 0 is

Equation

Identity

Not inequality

Inequality

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

Solution

None of these

Argument

Coefficient

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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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