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

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

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

Each point of the feasible region is called

Question # 10

ab > 0 and a > 0 then

Question # 11

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

Question # 12

3x + 4 = 0 is

Question # 13

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

Question # 14

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

Question # 15

x = 0 is in the solution of the inequality

Question # 16

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

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

x = -1 is in the solution of the inequality

Question # 21

ax + by < c is linear inequality in

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

If 4 - x >5, then

Question # 26

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

Question # 27

The solution set of x < 4 is

Question # 28

3x + 4 > 0 is

Question # 29

The real numbers which satisfy an inequality form its

Question # 30

There may be ______ feasible solution in the feasible region

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Sr.# Question Answer
1 The solution set of x < 4 is
A. -∞< x < 4
B. -∞> x > 4
C. -∞< x < 2
D. -∞> x > 2
2 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
3 The graph of linear equation 2x + 3y = 10
A. Parabola
B. Circle
C. Hyperbola
D. Straight line
4 Optimize means ______ a quantity under certain constraints
A. Minimize
B. Maximize
C. Maximize or minimize
D. None of these
5 Which is in the solution set of 4x - 3y < 2
A. (3, 0)
B. (4, 1)
C. (1, 3)
D. None
6 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)
7 The solution set of the inequality ax + by < c is
A. straight line
B. half plane
C. parabola
D. none of these
8 For which of the following ordered pairs (s, t) is s + t > 2 and s - t < -3?
A. (3, 2)
B. (2, 3)
C. (1, 8)
D. (0, 3)
9 x = ________ is in the solution of 2x + 3 > 0
A. 1
B. -2
C. -3
D. -4
10 A point of a solution region where two of its boundary lines intersect, is called
A. Boundary
B. Inequality
C. Half plane
D. Vertex
11 If 4 - x >5, then
A. x > 1
B. x > -1
C. x < 1
D. x < -1
12 The point ________ is in the solution of the inequality 2x - 3y > 5
A. (1, -1)
B. (2,2)
C. (0,0)
D. (3,0)
13 Order (or sense) of an inequality is changed by multiplying or dividing its each side by a:
A. Zero
B. one
C. negative constant
D. Non negative constant
14 (0,1) is in the solution of the inequality
A. 3x + 2y > 8
B. 2x - 3y < 4
C. 2x + 3y > 5
D. x -2y < -5
15 The point _________ is in the solution of the inequality 2x + 3y < 5
A. (1,1)
B. (2,2)
C. (0,1)
D. (0,2)
16 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
17 The graph of y < 2 is the
A. Left half plane
B. upper half plane
C. Right half plane
D. Lower half plane
18 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)
19 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
20 x = _________ is in the solution of 2x + 3 < 0
A. 0
B. 2
C. -1
D. -2
21 3x + 4 > 0 is
A. equation
B. inequality
C. identity
D. none of these
22 s > t then
A. (s - t)2> (t - s)2
B. (s - t)2< (t - s)2
C. (s - t)2= (t - s)2
D. None
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 3x + 4 = 0 is
A. not inequality
B. equation
C. identity
D. inequality
25 The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is
A. 120
B. 100
C. 140
D. 160
26 The feasible region which can be enclosed within a circle is called
A. Bounded region
B. Convex region
C. Unbounded region
D. None
27 A point (x,y) which satisfy a linear inequality in two variables form its
A. Solution
B. Domain
C. Range
D. None
28 x = -1 is in the solution of the inequality
A. x + 5 < 0
B. 2x + 3 < 0
C. x > 0
D. 2x + 3 > 0
29 Which is not a half plane
A. ax + by < c
B. ax + by > c
C. Both A and B
D. None
30 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

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