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

Question # 1

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

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

Question # 2

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 # 3

3x + 4 < 0 is

inequality A
equation B
identity C
not inequality D

Question # 4

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

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

Question # 5

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

Solution A
Domain B
Range C
None D

Question # 6

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 # 7

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 # 8

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 # 9

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 # 10

Which is not a half plane

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

Question # 11

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 # 12

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

0 A
2 B
-2 C
3 D

Question # 13

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 # 14

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

b A
-b B
-a C
(a - b)² D

Question # 15

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 # 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

If 4 - x >5, then

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

Question # 18

A ________ divides the plane into left and right half planes.

Vertical line A
Horizontal line B
Non vertical line C
Inequality D

Question # 19

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

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

Question # 20

A point where two of its boundary lines intersect is called

Corner point A
Feasible point B
Vertex C
Feasible solution D

Question # 21

3x + 4 = 0 is

not inequality A
equation B
identity C
inequality D

Question # 22

(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 # 23

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

Explicit function A
Implicit function B
Objective function C
None D

Question # 24

(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 # 25

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

(1,4) A
(4,2) B
(3,1) C
(4,1) D

Question # 26

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

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

Question # 27

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

0 A
2 B
-1 C
-2 D

Question # 28

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 # 29

There may be ______ feasible solution in the feasible region

Infinite A
Finite B
Defined C
None of above D

Question # 30

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

Sr.#	Question	Answer
1	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
2	r + 3 >5 then which is true	A. r + 2 > 4 B. r + 2 < 4 C. r + 2 = 4 D. None
3	A point of a solution region where two of its boundary lines intersect, is called	A. Boundary B. Inequality C. Half plane D. Vertex
4	The graph of y> 0 is the upper - half of:	A. y-axis B. x-axis C. 1st and 4th quandrant D. 2nd and 3rd quadrant
5	3x + 4 < 0 is	A. inequality B. equation C. identity D. not inequality
6	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
7	The corner point of the boundary lines, x- 2x x+2y=10 is:	A. (8,1) B. (1,8) C. (6,10) D. (3,5)
8	If ab > 0 and a < 0, which of the following is negative?	A. b B. -b C. -a D. (a - b)²
9	Each point of the feasible region is called	A. Solution B. feasible solution C. Both a & b D. None
10	A ________ divides the plane into left and right half planes.	A. Vertical line B. Horizontal line C. Non vertical line D. Inequality

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