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

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

Question # 2

Optimize means ______ a quantity under certain constraints

Question # 3

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

Question # 4

The solution set of x < 4 is

Question # 5

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

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

If 4 - x >5, then

Question # 10

The solution set of the inequality ax + by < c is

Question # 11

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

Question # 12

ax + by < c is linear inequality in

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

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

Question # 17

x = 1 is in the solution of the inequality

Question # 18

Multiplying each side of an inequality by (-1) will:

Question # 19

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

Question # 20

3x + 4 > 0 is

Question # 21

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

Question # 22

There may be ______ feasible solution in the feasible region

Question # 23

x = -1 is in the solution of the inequality

Question # 24

3x + 4 > 0 is

Question # 25

Inequalities have ______ symbol

Question # 26

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 # 27

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

Question # 28

3x + 4 < 0 is

Question # 29

Sum of two quantities is at least 20 is denoted by

Question # 30

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

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ECAT Mathematics Chapter 21 Important MCQ's

Sr.# Question Answer
1 The point ________ is in the solution of the inequality 2x - 3y < 4
A. (0, -2)
B. (1, -3)
C. (2, 2)
D. (3, 0)
2 Optimal solution is found by evaluation the objective function at
A. All point of feasible region
B. Corner point
C. Origin
D. None
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
A. P(x, y) = 20x + 15y
B. P(x, y) = 2x + 3y
C. P(x, y) = x + y
D. P(x, y) = 3x + 2y
4 The point _________ is in the solution of the inequality 2x + 3y < 5
A. (1,1)
B. (2,2)
C. (0,1)
D. (0,2)
5 ab > 0 and a > 0 then
A. a > b
B. a < b
C. a = b
D. None
6 x = 0 is in the solution of the inequality
A. x > 0
B. 3x + 4 < 0
C. x + 3 < 0
D. x - 2 < 0
7 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
8 Which is not a half plane
A. ax + by < c
B. ax + by > c
C. Both A and B
D. None
9 x = ________ is in the solution of 2x + 3 > 0
A. 1
B. -2
C. -3
D. -4
10 3x + 4 = 0 is
A. not inequality
B. equation
C. identity
D. inequality

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