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

x = 1 is in the solution of the inequality

Question # 2

ab > 0 and a > 0 then

Question # 3

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

Question # 4

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

Question # 5

The real numbers which satisfy an inequality form its

Question # 6

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 # 7

Optimal solution is found by evaluation the objective function at

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

The solution set of x < 4 is

Question # 13

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

Question # 14

Which is not a half plane

Question # 15

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

Question # 16

A point where two of its boundary lines intersect is called

Question # 17

3x + 4 > 0 is

Question # 18

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

Question # 19

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 # 20

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

Question # 21

3x + 4 < 0 is

Question # 22

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

Question # 23

Sum of two quantities is at least 20 is denoted by

Question # 24

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

Question # 25

3x + 4 > 0 is

Question # 26

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

Question # 27

Each point of the feasible region is called

Question # 28

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

Question # 29

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 # 30

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

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ECAT 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 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
3 Which is not a half plane
A. ax + by < c
B. ax + by > c
C. Both A and B
D. None
4 The set of ordered pairs (x,y) such that ax+ by < c, and (x,y) such that ax + by>0, are called
A. Half planes
B. Boundary
C. Linear Inequalities
D. Feasible regions
5 The total cost of 2 apples and 3 oranges is $1.70, which of the following is true
A. The cost of one apple
B. The cost of one orange
C. Both have equal cost per item
D. Cost of each single item can not be determined
6 A point of a solution regions where two of its boundary lines intersect, is called:
A. Vertex of the solution
B. Feasible point
C. Point of inequality
D. Null point of the solution region
7 If x < y, 2x = A, and 2y = B, then
A. A = B
B. A < B
C. A < x
D. B < y
8 ab > 0 and a > 0 then
A. a > b
B. a < b
C. a = b
D. None
9 x = ________ is in the solution of 2x + 3 > 0
A. 1
B. -2
C. -3
D. -4
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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