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

Question # 1

If -1 < x < 0, which of the following statements must be true?

x < x²< x³ A
x < x³< x² B
x²< x³< x C
x²< x < x³ D

Question # 2

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

Explicit function A
Implicit function B
Objective function C
None D

Question # 3

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

(1,0) A
(0,4) B
(3,0) C
(8,0) D

Question # 4

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

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

Question # 5

(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 # 6

ax + by < c is linear inequality in

four variables A
three variables B
two variables C
one variable D

Question # 7

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 # 8

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 # 9

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

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

Question # 10

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?

x - y = -6 A
x - y < -6 B
x - y > -6 C
None D

Question # 11

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 # 12

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

46 A
60 B
50 C
70 D

Question # 13

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

0 A
2 B
-2 C
3 D

Question # 14

3x + 4 = 0 is

not inequality A
equation B
identity C
inequality D

Question # 15

Inequalities have ______ symbol

2 A
3 B
4 C
1 D

Question # 16

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

Parabola A
Circle B
Hyperbola C
Straight line D

Question # 17

Which is not a half plane

ax + by < c A
ax + by > c B
Both A and B C
None D

Question # 18

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 # 19

There may be ______ feasible solution in the feasible region

Infinite A
Finite B
Defined C
None of above D

Question # 20

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

Bounded region A
Convex region B
Unbounded region C
None D

Question # 21

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

> or < A
> or < B
= or≠ C
= or > D

Question # 22

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 # 23

(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 # 24

x = -1 is in the solution of the inequality

x + 5 < 0 A
2x + 3 < 0 B
x > 0 C
2x + 3 > 0 D

Question # 25

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 # 26

The corner point of the boundary lines, x- 2x
x+2y=10 is:

(8,1) A
(1,8) B
(6,10) C
(3,5) D

Question # 27

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 # 28

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

A = B A
A < B B
A < x C
B < y D

Question # 29

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

(2,6) A
(6,2) B
(-2,2) C
(2,-2) D

Question # 30

3x + 4 > 0 is

equation A
inequality B
identity C
none of these D

Sr.#	Question	Answer
1	The point ________ is in the solution of the inequality 2x - 3y > 5	A. (1, -1) B. (2,2) C. (0,0) D. (3,0)
2	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
3	For graphing a linear inequality, solid line is drawn if the inequality involves the symbols:	A. > or < B. > or < C. = or≠ D. = or >
4	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
5	The point ________ is in the solution of the inequality 2x - 3y < 4	A. (0, -2) B. (1, -3) C. (2, 2) D. (3, 0)
6	3x + 4 > 0 is	A. equation B. inequality C. identity D. none of these
7	x = ________ is in the solution of 2x + 3 > 0	A. 1 B. -2 C. -3 D. -4
8	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
9	3x + 4 < 0 is	A. not inequality B. equation C. identity D. inequality
10	The graph of linear equation 2x + 3y = 10	A. Parabola B. Circle C. Hyperbola D. Straight line

Latest Educational News Stories

Pakistan's Largest Database of Colleges and Universities

BS Programs

University Past Papers

University Results

Exam Results 2024

Study Abroad Programs and Opportunities for Pakistani Students

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

ECAT (Pre-Eng) Mathematics Chapter 21 Linear Inequalities & Linear Programming