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

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

00:00
Question # 1

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

Question # 2

x = 0 is in the solution of the inequality

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

Question # 4

A point where two of its boundary lines intersect is called

Question # 5

Optimal solution is found by evaluation the objective function at

Question # 6

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

Question # 7

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

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

x = -1 is in the solution of the inequality

Question # 13

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

Question # 14

ax + by < c is linear inequality in

Question # 15

2x + 3y > 4 is a linear inequality in

Question # 16

The graph of y < 2 is the

Question # 17

Inequalities have ______ symbol

Question # 18

The point (1,3) is one solution of

Question # 19

The solution set of x < 4 is

Question # 20

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

Question # 21

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

Question # 22

x = ________ is in the solution of 2x + 3 > 0

Question # 23

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

Question # 24

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

Question # 25

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

Question # 26

3x + 4 < 0 is

Question # 27

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

Question # 28

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

Question # 29

r + 3 >5 then which is true

Question # 30

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?

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ECAT Mathematics Chapter 21 Important MCQ's

Sr.# Question Answer
1 3x + 4 > 0 is
A. equation
B. inequality
C. identity
D. none of these
2 3x + 4 < 0 is
A. not inequality
B. equation
C. identity
D. inequality
3 r + 3 >5 then which is true
A. r + 2 > 4
B. r + 2 < 4
C. r + 2 = 4
D. None
4 Optimize means ______ a quantity under certain constraints
A. Minimize
B. Maximize
C. Maximize or minimize
D. None of these
5 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
6 Sum of two quantities is at least 20 is denoted by
A. x +y =20
B. x +y≥ 20
C. x +y≠ 20
D. x +y≤20
7 The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is
A. 120
B. 100
C. 140
D. 160
8 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
9 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
A. P(x, y) = 20x + 15y
B. P(x, y) = 2x + 3y
C. P(x, y) = x + y
D. P(x, y) = 3x + 2y
10 If -1 < x < 0, which of the following statements must be true?
A. x < x2< x3
B. x < x3< x2
C. x2< x3< x
D. x2< x < x3

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