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

Question # 2

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

Question # 3

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 # 4

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

Question # 5

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

Question # 6

x = 0 is in the solution of the inequality

Question # 7

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?

Question # 8

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

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 - 3 < 0

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

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

Question # 15

3x + 4 < 0 is

Question # 16

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

Question # 17

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

Question # 18

Each point of the feasible region is called

Question # 19

Optimize means ______ a quantity under certain constraints

Question # 20

Which is not a half plane

Question # 21

The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is

Question # 22

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

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

3x + 4 > 0 is

Question # 27

Sum of two quantities is at least 20 is denoted by

Question # 28

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

Question # 29

The real numbers which satisfy an inequality form its

Question # 30

Inequalities have ______ symbol

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ECAT Mathematics Chapter 21 Important MCQ's

Sr.# Question Answer
1 There may be ______ feasible solution in the feasible region
A. Infinite
B. Finite
C. Defined
D. None of above
2 A function which is to be maximized or minimized is called an
A. Explicit function
B. Implicit function
C. Objective function
D. None
3 Maximum value of z =15x +20y subject to 3x+ 4y≤ 12,x,y≥ 0 is given by
A. 46
B. 60
C. 50
D. 70
4 x = ________ is in the solution of 2x - 5 > 0
A. 0
B. 2
C. -2
D. 3
5 The graph of the linear equation of the form ax =by = c is a line which divided the plane into:
A. Two similar regions
B. Two disjoint regions
C. Four equal parts
D. One region
6 (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
7 3x + 4 < 0 is
A. inequality
B. equation
C. identity
D. not inequality
8 Each point of the feasible region is called
A. Solution
B. feasible solution
C. Both a & b
D. None
9 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
10 2x + 3y > 4 is a linear inequality in
A. one variable
B. two variables
C. three variables
D. none of these

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