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 point where two of its boundary lines intersect is called

Question # 2

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

Question # 3

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

Question # 4

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

Question # 5

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 # 6

The graph of y < 2 is the

Question # 7

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

Question # 8

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

Question # 9

3x + 4 > 0 is

Question # 10

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

Question # 11

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

Question # 12

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

Question # 13

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

Question # 14

x = 0 is in the solution of the inequality

Question # 15

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

Question # 16

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 # 17

x = 1 is in the solution of the inequality

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

Each point of the feasible region is called

Question # 22

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

Question # 23

The real numbers which satisfy an inequality form its

Question # 24

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

Question # 25

Optimal solution is found by evaluation the objective function at

Question # 26

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

Question # 27

x = -1 is in the solution of the inequality

Question # 28

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

Question # 29

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

Question # 30

If 4 - x >5, then

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ECAT Class Mathematics Chapter 21 Important MCQ's

Sr.# Question Answer
1 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
2 x = -1 is in the solution of the inequality
A. x + 5 < 0
B. 2x + 3 < 0
C. x > 0
D. 2x + 3 > 0
3 A function which is to be maximized or minimized is called an
A. Explicit function
B. Implicit function
C. Objective function
D. None
4 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
5 x = ________ is in the solution of 2x - 3 < 0
A. 2
B. -2
C. 3
D. 4
6 3x + 4 > 0 is
A. equation
B. inequality
C. identity
D. none of these
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
A. (1,0)
B. (0,4)
C. (3,0)
D. (8,0)
8 (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
9 x = ________ is in the solution of 2x + 3 > 0
A. 1
B. -2
C. -3
D. -4
10 (1, 1) is the in the solution of the inequality
A. 3x + 4y > 3
B. 2x + 3y < 2
C. 4x = 3y > 5
D. 2c - 3y > 2

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