ECAT Mathematics Chapter 21 online mcq test with answers for chapter 21 (Linear Inequalities and Linear Programming)

Question # 1

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

The cost of one apple A
The cost of one orange B
Both have equal cost per item C
Cost of each single item can not be determined D

Question # 2

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

y-axis A
x-axis B
1st and 4th quandrant C
2nd and 3rd quadrant D

Question # 3

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

2x + y > 8 A
2x + y < 6 B
2x - y > 1 C
2x + 3y < 2 D

Question # 4

3x + 4 > 0 is

equation A
identity B
inequality C
none of these D

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

P(x, y) = 20x + 15y A
P(x, y) = 2x + 3y B
P(x, y) = x + y C
P(x, y) = 3x + 2y D

Question # 6

For graphing a linear inequality, solid line is drawn if the inequality involves the symbols:

> or < A
> or < B
= or≠ C
= or > D

Question # 7

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

straight line A
half plane B
parabola C
none of these D

Question # 8

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

3x + 2y > 8 A
2x - 3y < 4 B
2x + 3y > 5 C
x -2y < -5 D

Question # 9

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

domain A
range B
solution C
none of these D

Question # 10

s > t then

(s - t)²> (t - s)² A
(s - t)²< (t - s)² B
(s - t)²= (t - s)² C
None D

Question # 11

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

Two similar regions A
Two disjoint regions B
Four equal parts C
One region D

Question # 12

3x + 4 > 0 is

equation A
inequality B
identity C
none of these D

Question # 13

Sum of two quantities is at least 20 is denoted by

x +y =20 A
x +y≥ 20 B
x +y≠ 20 C
x +y≤20 D

Question # 14

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

Parabola A
Circle B
Hyperbola C
Straight line D

Question # 15

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

(2,3) A
(2,2) B
(6,0) C
(1,1) D

Question # 16

The point (1,3) is one solution of

3x + 5y > 29 A
3x + 5y < 7 B
x + 2y < 4 C
x + 4y > 3 D

Question # 17

3x + 4 = 0 is

not inequality A
equation B
identity C
inequality D

Question # 18

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

2x + y > 7 A
x - y > 2 B
3x + 5y < 6 C
2x + y < 6 D

Question # 19

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

Associated equation A
Non-associated equation B
disjoint equation C
Feasible equation D

Question # 20

r + 3 >5 then which is true

r + 2 > 4 A
r + 2 < 4 B
r + 2 = 4 C
None D

Question # 21

If 4 - x >5, then

x > 1 A
x > -1 B
x < 1 C
x < -1 D

Question # 22

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

Solution A
Domain B
Range C
None D

Question # 23

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

Zero A
one B
negative constant C
Non negative constant D

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

120 A
100 B
140 C
160 D

Question # 25

Each point of the feasible region is called

Solution A
feasible solution B
Both a & b C
None D

Question # 26

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

Half planes A
Boundary B
Linear Inequalities C
Feasible regions D

Question # 27

Optimal solution is found by evaluation the objective function at

All point of feasible region A
Corner point B
Origin C
None D

Question # 28

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

Vertex of the solution A
Feasible point B
Point of inequality C
Null point of the solution region D

Question # 29

x = 1 is in the solution of the inequality

x + 1 > 0 A
x - 2 > 0 B
3x - 1 < 0 C
x + 2 < 0 D

Question # 30

3x + 4 < 0 is

not inequality A
equation B
identity C
inequality D

Sr.#	Question	Answer
1	(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
2	The graph of linear equation 2x + 3y = 10	A. Parabola B. Circle C. Hyperbola D. Straight line
3	A point (x,y) which satisfy a linear inequality in two variables form its	A. Solution B. Domain C. Range D. None
4	The solution set of x < 4 is	A. -∞< x < 4 B. -∞> x > 4 C. -∞< x < 2 D. -∞> x > 2
5	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
6	The real numbers which satisfy an inequality form its	A. solution B. coefficient C. domain D. range
7	Which of the following ordered pair is a solution of the inequality x+2y<6?	A. (2,3) B. (2,2) C. (6,0) D. (1,1)
8	The liner equation ax + by = c is called _________ of the inequality ax +by > c.	A. Associated equation B. Non-associated equation C. disjoint equation D. Feasible equation
9	3x + 4 > 0 is	A. equation B. identity C. inequality D. none of these
10	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

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ECAT Pre Engineering MCQ Test With Answer for Chapter 21 Mathematics

MCQ's Test For ECAT Mathematics Chapter 21 Linear Inequalities and Linear Programming

ECAT Mathematics Chapter 21 Linear Inequalities and Linear Programming

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

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

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

3x + 4 > 0 is

For graphing a linear inequality, solid line is drawn if the inequality involves the symbols:

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

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

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

s > t then

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

3x + 4 > 0 is

Sum of two quantities is at least 20 is denoted by

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

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

The point (1,3) is one solution of

3x + 4 = 0 is

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

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

r + 3 >5 then which is true

If 4 - x >5, then

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

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

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

Each point of the feasible region is called

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

Optimal solution is found by evaluation the objective function at

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

x = 1 is in the solution of the inequality

3x + 4 < 0 is

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