ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 21 (Linear Inequalities and Linear Programming)

MCQ's Test For ECAT (Pre-Eng) Mathematics Chapter 21 Linear Inequalities & Linear Programming

Try The MCQ's Test For ECAT (Pre-Eng) Mathematics Chapter 21 Linear Inequalities & Linear Programming

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ECAT (Pre-Eng) Mathematics Chapter 21 Linear Inequalities & Linear Programming

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Question # 1

The points (x, y) which satisfy a linear inequality in two variables x and y from its

Question # 2

x is a member of the set [-1, 0, 3, 5] y is a member of the set {-2, 1, 2, 4} which is possible?

Question # 3

(1, 2) is in the solution of the inequality

Question # 4

r + 3 >5 then which is true

Question # 5

An expression involving any of the symbols <,>,< or > is called

Question # 6

x = ________ is in the solution of 2x - 3 < 0

Question # 7

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

Question # 8

3x + 4 > 0 is

Question # 9

The total cost of 2 apples and 3 oranges is $1.70, which of the following is true

Question # 10

2x + 3y > 4 is a linear inequality in

Question # 11

ax + by < c is linear inequality in

Question # 12

The corner point of the boundary lines, x- 2x
x+2y=10 is:

Question # 13

The feasible region which can be enclosed within a circle is called

Question # 14

The graph of linear equation 2x + 3y = 10

Question # 15

x = ________ is in the solution of 2x + 3 > 0

Question # 16

Optimal solution is found by evaluation the objective function at

Question # 17

The graph of y> 0 is the upper - half of:

Question # 18

Which is in the solution set of 4x - 3y < 2

Question # 19

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

Question # 20

The point ________ is in the solution of the inequality 2x - 3y > 5

Question # 21

A ________ divides the plane into left and right half planes.

Question # 22

x = _________ is in the solution of 2x + 3 < 0

Question # 23

A point where two of its boundary lines intersect is called

Question # 24

A point of a solution regions where two of its boundary lines intersect, is called:

Question # 25

3x + 4 > 0 is

Question # 26

(1, 1) is the in the solution of the inequality

Question # 27

A farmer possesses 100 hectometers of land and wants to grow corn and wheat. Cultivations of corn requires 3 hours per hectometer while cultivation of wheat requires 2 hours per hectometer. Working hours cannot exceed 240. If he gets a profit of Rs. 20 per hectometer for corn and Rs. 15 per hectometer for wheat. The profit function for the farmer is

Question # 28

For graphing a linear inequality, solid line is drawn if the inequality involves the symbols:

Question # 29

x = 0 is in the solution of the inequality

Question # 30

Order (or sense) of an inequality is changed by multiplying or dividing its each side by a:

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ECAT Mathematics Chapter 21 Important MCQ's

Sr.# Question Answer
1 x = 1 is in the solution of the inequality
A. x + 1 > 0
B. x - 2 > 0
C. 3x - 1 < 0
D. x + 2 < 0
2 There may be ______ feasible solution in the feasible region
A. Infinite
B. Finite
C. Defined
D. None of above
3 The set of ordered pairs (x,y) such that ax+ by < c, and (x,y) such that ax + by>0, are called
A. Half planes
B. Boundary
C. Linear Inequalities
D. Feasible regions
4 (0,0) is in the solution of the inequality
A. x + y > 3
B. x - y > 2
C. 3x + 2y > 5
D. 3x - 2y < 2
5 x = 0 is in the solution of the inequality
A. x > 0
B. 3x + 4 < 0
C. x + 3 < 0
D. x - 2 < 0
6 (1,0) is in the solution of the inequality
A. 3x + 2y > 8
B. 2x - 3y < 4
C. 2x + 3y > 3
D. x - 2y < -5
7 The point ________ is in the solution of the inequality 2x - 3y < 4
A. (0, -2)
B. (1, -3)
C. (2, 2)
D. (3, 0)
8 A point of a solution region where two of its boundary lines intersect, is called
A. Boundary
B. Inequality
C. Half plane
D. Vertex
9 The point ________ is in the solution of the inequality 4x - 3y < 2
A. (0,1)
B. (2,1)
C. (2,2)
D. (3,3)
10 Maximum value of z =15x +20y subject to 3x+ 4y≤ 12,x,y≥ 0 is given by
A. 46
B. 60
C. 50
D. 70

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