ECAT Pre Engineering MCQ Test With Answer for Chapter 21 Mathematics

MCQ's Test For ECAT Mathematics Chapter 21 Linear Inequalities and Linear Programming

Try The MCQ's Test For ECAT Mathematics Chapter 21 Linear Inequalities and Linear Programming

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ECAT Mathematics Chapter 21 Linear Inequalities and Linear Programming

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Question # 1

3x + 4 = 0 is

Question # 2

Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0

Question # 3

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

Question # 4

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

Question # 5

If 4 - x >5, then

Question # 6

The point ________ is in the solution of the inequality 2x - 3y < 4

Question # 7

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

Question # 8

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 # 9

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

Question # 10

3x + 4 < 0 is

Question # 11

Each point of the feasible region is called

Question # 12

If -1 < x < 0, which of the following statements must be true?

Question # 13

The graph of the linear equation of the form ax =by = c is a line which divided the plane into:

Question # 14

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

Question # 15

ax + by < c is linear inequality in

Question # 16

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

Question # 17

ab > 0 and a > 0 then

Question # 18

x = 0 is in the solution of the inequality

Question # 19

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

Question # 20

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

Question # 21

The point ________ is in the solution of the inequality 4x - 3y < 2

Question # 22

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

Question # 23

A function which is to be maximized or minimized is called an

Question # 24

s > t then

Question # 25

Inequalities have ______ symbol

Question # 26

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

Question # 27

3x + 4 > 0 is

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 21 Important MCQ's

Sr.# Question Answer
1 x = ________ is in the solution of 2x - 5 > 0
A. 0
B. 2
C. -2
D. 3
2 A point (x,y) which satisfy a linear inequality in two variables form its
A. Solution
B. Domain
C. Range
D. None
3 Each point of the feasible region is called
A. Solution
B. feasible solution
C. Both a & b
D. None
4 The solution set of the inequality ax + by < c is
A. straight line
B. half plane
C. parabola
D. none of these
5 x = ________ is in the solution of 2x - 3 < 0
A. 2
B. -2
C. 3
D. 4
6 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
A. P(x, y) = 20x + 15y
B. P(x, y) = 2x + 3y
C. P(x, y) = x + y
D. P(x, y) = 3x + 2y
7 If 4 - x >5, then
A. x > 1
B. x > -1
C. x < 1
D. x < -1
8 The feasible region which can be enclosed within a circle is called
A. Bounded region
B. Convex region
C. Unbounded region
D. None
9 x = -1 is in the solution of the inequality
A. x + 5 < 0
B. 2x + 3 < 0
C. x > 0
D. 2x + 3 > 0
10 Which of the following is not a solution of system of inequalities 2x- 3y ≤6,2x +y≥ 2,x +2y≤ 8, x≥ 0,y ≥ 0
A. (1,0)
B. (0,4)
C. (3,0)
D. (8,0)

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