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

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

Question # 3

ab > 0 and a > 0 then

Question # 4

Which of the following ordered pair is a solution of the inequality x+2y<6?

Question # 5

3x + 4 < 0 is

Question # 6

r + 3 >5 then which is true

Question # 7

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

Question # 8

If x < y, 2x = A, and 2y = B, then

Question # 9

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

Question # 10

Sum of two quantities is at least 20 is denoted by

Question # 11

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

Question # 12

There may be ______ feasible solution in the feasible region

Question # 13

The real numbers which satisfy an inequality form its

Question # 14

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

Question # 15

If 4 - x >5, then

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

The graph of y < 2 is the

Question # 24

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

Question # 25

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

Question # 26

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

Question # 27

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

Question # 28

x = 0 is in the solution of the inequality

Question # 29

Which is not a half plane

Question # 30

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

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ECAT Mathematics Chapter 21 Important MCQ's

Sr.# Question Answer
1 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
2 An expression involving any of the symbols <,>,< or > is called
A. equation
B. inequality
C. linear equation
D. identity
3 x = -1 is in the solution of the inequality
A. x + 5 < 0
B. 2x + 3 < 0
C. x > 0
D. 2x + 3 > 0
4 Multiplying each side of an inequality by (-1) will:
A. Not effect
B. Change the sign
C. Become zero
D. Not defined
5 2x + 3y > 4 is a linear inequality in
A. one variable
B. two variables
C. three variables
D. none of these
6 For graphing a linear inequality, solid line is drawn if the inequality involves the symbols:
A. > or <
B. > or <
C. = or≠
D. = or >
7 The solution set of x < 4 is
A. -∞< x < 4
B. -∞> x > 4
C. -∞< x < 2
D. -∞> x > 2
8 If 4 - x >5, then
A. x > 1
B. x > -1
C. x < 1
D. x < -1
9 Each point of the feasible region is called
A. Solution
B. feasible solution
C. Both a & b
D. None
10 If -1 < x < 0, which of the following statements must be true?
A. x < x2< x3
B. x < x3< x2
C. x2< x3< x
D. x2< x < x3

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