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 solution set of x < 4 is

Question # 2

x = 1 is in the solution of the inequality

Question # 3

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

Question # 4

There may be ______ feasible solution in the feasible region

Question # 5

x = 0 is in the solution of the inequality

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

The liner equation ax + by = c is called _________ of the inequality ax +by > c.

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

Inequalities have ______ symbol

Question # 14

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

Question # 15

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

Question # 16

A point (x,y) which satisfy a linear inequality in two variables form its

Question # 17

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

Question # 18

The graph of y < 2 is the

Question # 19

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

Question # 20

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

Question # 21

r + 3 >5 then which is true

Question # 22

Which is not a half plane

Question # 23

3x + 4 = 0 is

Question # 24

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

Question # 25

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

Question # 26

The point _________ is in the solution of the inequality 2x + 3y < 5

Question # 27

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

Question # 28

s > t then

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 = -1 is in the solution of the inequality

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Sr.# Question Answer
1 Which is not a half plane
A. ax + by < c
B. ax + by > c
C. Both A and B
D. None
2 Inequalities have ______ symbol
A. 2
B. 3
C. 4
D. 1
3 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?
A. x - y = -6
B. x - y < -6
C. x - y > -6
D. None
4 Multiplying each side of an inequality by (-1) will:
A. Not effect
B. Change the sign
C. Become zero
D. Not defined
5 The graph of linear equation 2x + 3y = 10
A. Parabola
B. Circle
C. Hyperbola
D. Straight line
6 x = ________ is in the solution of 2x + 3 > 0
A. 1
B. -2
C. -3
D. -4
7 A function which is to be maximized or minimized is called an
A. Explicit function
B. Implicit function
C. Objective function
D. None
8 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)
9 A point of a solution region where two of its boundary lines intersect, is called
A. Boundary
B. Inequality
C. Half plane
D. Vertex
10 x = ________ is in the solution of 2x - 5 > 0
A. 0
B. 2
C. -2
D. 3
11 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
12 The corner point of the boundary lines, x-2y
2x + y = 2 is:
A. (2,6)
B. (6,2)
C. (-2,2)
D. (2,-2)
13 (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
14 The graph of y < 2 is the
A. Left half plane
B. upper half plane
C. Right half plane
D. Lower half plane
15 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
16 ab > 0 and a > 0 then
A. a > b
B. a < b
C. a = b
D. None
17 3x + 4 = 0 is
A. not inequality
B. equation
C. identity
D. inequality
18 The point _________ is in the solution of the inequality 2x + 3y < 5
A. (1,1)
B. (2,2)
C. (0,1)
D. (0,2)
19 (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
20 3x + 4 > 0 is
A. equation
B. identity
C. inequality
D. none of these
21 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
22 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
23 The graph of y> 0 is the upper - half of:
A. y-axis
B. x-axis
C. 1st and 4th quandrant
D. 2nd and 3rd quadrant
24 An expression involving any of the symbols <,>,< or > is called
A. equation
B. inequality
C. linear equation
D. identity
25 The points (x, y) which satisfy a linear inequality in two variables x and y from its
A. domain
B. range
C. solution
D. none of these
26 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
27 The corner point of the boundary lines, x- 2x
x+2y=10 is:
A. (8,1)
B. (1,8)
C. (6,10)
D. (3,5)
28 3x + 4 < 0 is
A. inequality
B. equation
C. identity
D. not inequality
29 Which is in the solution set of 4x - 3y < 2
A. (3, 0)
B. (4, 1)
C. (1, 3)
D. None
30 x = 0 is in the solution of the inequality
A. x > 0
B. 3x + 4 < 0
C. x + 3 < 0
D. x - 2 < 0

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