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

A point where two of its boundary lines intersect is called

Question # 2

x = 1 is in the solution of the inequality

Question # 3

x = ________ is in the solution of 2x - 5 > 0

Question # 4

x = 0 is in the solution of the inequality

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

Each point of the feasible region is called

Question # 8

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

Question # 9

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

Question # 10

For which of the following ordered pairs (s, t) is s + t > 2 and s - t < -3?

Question # 11

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

Question # 12

The graph of y < 2 is the

Question # 13

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

Question # 14

The real numbers which satisfy an inequality form its

Question # 15

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

Question # 16

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

Question # 17

There may be ______ feasible solution in the feasible region

Question # 18

Maximum value of z =15x +20y subject to 3x+ 4y≤ 12,x,y≥ 0 is given by

Question # 19

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

Question # 20

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

Question # 21

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 # 22

Which is not a half plane

Question # 23

If ab > 0 and a < 0, which of the following is negative?

Question # 24

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

Question # 25

Multiplying each side of an inequality by (-1) will:

Question # 26

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

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 21 Important MCQ's

Sr.# Question Answer
1 Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0
A. (1,4)
B. (4,2)
C. (3,1)
D. (4,1)
2 x = 0 is in the solution of the inequality
A. x > 0
B. 3x + 4 < 0
C. x + 3 < 0
D. x - 2 < 0
3 (1, 2) is in the solution of the inequality
A. 2x + y > 8
B. 2x + y < 6
C. 2x - y > 1
D. 2x + 3y < 2
4 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)
5 Which is in the solution set of 4x - 3y < 2
A. (3, 0)
B. (4, 1)
C. (1, 3)
D. None
6 x = ________ is in the solution of 2x - 3 < 0
A. 2
B. -2
C. 3
D. 4
7 x = -1 is in the solution of the inequality
A. x + 5 < 0
B. 2x + 3 < 0
C. x > 0
D. 2x + 3 > 0
8 Inequalities have ______ symbol
A. 2
B. 3
C. 4
D. 1
9 (2, 1) is in the solution of the inequality
A. 2x + y > 7
B. x - y > 2
C. 3x + 5y < 6
D. 2x + y < 6
10 Sum of two quantities is at least 20 is denoted by
A. x +y =20
B. x +y≥ 20
C. x +y≠ 20
D. x +y≤20

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