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 function which is to be maximized or minimized is called an

Question # 2

x = 1 is in the solution of the inequality

Question # 3

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

Question # 4

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

Question # 5

The point (1,3) is one solution of

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

ab > 0 and a > 0 then

Question # 10

The real numbers which satisfy an inequality form its

Question # 11

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

Question # 12

Inequalities have ______ symbol

Question # 13

Which is not a half plane

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

There may be ______ feasible solution in the feasible region

Question # 18

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

Question # 19

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

Question # 20

(0,1) 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

The set of ordered pairs (x,y) such that ax+ by < c, and (x,y) such that ax + by>0, are called

Question # 23

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

Question # 24

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

Question # 25

s > t then

Question # 26

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

Question # 27

r + 3 >5 then which is true

Question # 28

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

Question # 29

Optimal solution is found by evaluation the objective function at

Question # 30

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

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ECAT Mathematics Chapter 21 Important MCQ's

Sr.# Question Answer
1 A point where two of its boundary lines intersect is called
A. Corner point
B. Feasible point
C. Vertex
D. Feasible solution
2 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
3 The solution set of the inequality ax + by < c is
A. straight line
B. half plane
C. parabola
D. none of these
4 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)
5 x = 0 is in the solution of the inequality
A. x > 0
B. 3x + 4 < 0
C. x + 3 < 0
D. x - 2 < 0
6 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)
7 The point ________ is in the solution of the inequality 2x - 3y < 4
A. (0, -2)
B. (1, -3)
C. (2, 2)
D. (3, 0)
8 The graph of y < 2 is the
A. Left half plane
B. upper half plane
C. Right half plane
D. Lower half plane
9 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)
10 The point _________ is in the solution of the inequality 2x + 3y < 5
A. (1,1)
B. (2,2)
C. (0,1)
D. (0,2)

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