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

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

Question # 2

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 # 3

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

Question # 4

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

Question # 5

The point (1,3) is one solution of

Question # 6

Which is not a half plane

Question # 7

x = -1 is in the solution of the inequality

Question # 8

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

Question # 9

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

Question # 10

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

Question # 11

The real numbers which satisfy an inequality form its

Question # 12

Optimal solution is found by evaluation the objective function at

Question # 13

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

Question # 14

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

Question # 15

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

Question # 16

x = 1 is in the solution of the inequality

Question # 17

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

Question # 18

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

Question # 19

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

Question # 20

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

Question # 21

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

Question # 22

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

Question # 23

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 # 24

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

Question # 25

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

Question # 26

Optimize means ______ a quantity under certain constraints

Question # 27

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

Question # 28

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

Question # 29

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

Question # 30

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

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ECAT Mathematics Chapter 21 Important MCQ's

Sr.# Question Answer
1 r + 3 >5 then which is true
A. r + 2 > 4
B. r + 2 < 4
C. r + 2 = 4
D. None
2 The solution set of x < 4 is
A. -∞< x < 4
B. -∞> x > 4
C. -∞< x < 2
D. -∞> x > 2
3 3x + 4 > 0 is
A. equation
B. inequality
C. identity
D. none of these
4 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
5 3x + 4 > 0 is
A. equation
B. identity
C. inequality
D. none of these
6
Question Image
A. p < r
B. p > rr
C. p + r < 0
D. p - r < 0
7 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
8 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
A. (1,0)
B. (0,4)
C. (3,0)
D. (8,0)
9 (1, 2) is in the solution of the inequality
A. 2x + y > 8
B. 2x + y < 6
C. 2x - y > 1
D. 2x + 3y < 2
10 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

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