.gif)
Home
News
Colleges
Courses
Admission
Lectures
Online Test
Past Papers
Date Sheets
Results
Study Abroad
Jobs
Tutors
More
Apps
ECAT Mathematics Chapter 21 Linear Inequalities and Linear Programming Online Test
| Sr. # | Questions | Answers Choice |
|---|---|---|
| 1 | The graph of y> 0 is the upper - half of: | y-axis x-axis 1st and 4th quandrant 2nd and 3rd quadrant |
| 2 | The corner point of the boundary lines, x- 2x x+2y=10 is: |
(8,1) (1,8) (6,10) (3,5) |
| 3 | The corner point of the boundary lines, x-2y 2x + y = 2 is: |
(2,6) (6,2) (-2,2) (2,-2) |
| 4 | A point of a solution regions where two of its boundary lines intersect, is called: | Vertex of the solution Feasible point Point of inequality Null point of the solution region |
| 5 | For graphing a linear inequality, solid line is drawn if the inequality involves the symbols: | > or < <u>></u> or <u><</u> = or≠ = or > |
| 6 | Which of the following ordered pair is a solution of the inequality x+2y<6? | (2,3) (2,2) (6,0) (1,1) |
| 7 | The liner equation ax + by = c is called _________ of the inequality ax +by > c. | Associated equation Non-associated equation disjoint equation Feasible equation |
| 8 | A ________ divides the plane into left and right half planes. | Vertical line Horizontal line Non vertical line Inequality |
| 9 | The set of ordered pairs (x,y) such that ax+ by < c, and (x,y) such that ax + by>0, are called | Half planes Boundary Linear Inequalities Feasible regions |
| 10 | The graph of the linear equation of the form ax =by = c is a line which divided the plane into: | Two similar regions Two disjoint regions Four equal parts One region |
| 11 | Multiplying each side of an inequality by (-1) will: | Not effect Change the sign Become zero Not defined |
| 12 | Order (or sense) of an inequality is changed by multiplying or dividing its each side by a: | Zero one negative constant Non negative constant |
| 13 | The solution set of x < 4 is | -<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>∞</i></span>< x < 4 -<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>∞</i></span>> x > 4 -<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>∞</i></span>< x < 2 -<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>∞</i></span>> x > 2 |
| 14 | The graph of linear equation 2x + 3y = 10 | Parabola Circle Hyperbola Straight line |
| 15 | Inequalities have ______ symbol | 2 3 4 1 |
| 16 | There may be ______ feasible solution in the feasible region | Infinite Finite Defined None of above |
| 17 | Optimize means ______ a quantity under certain constraints | Minimize Maximize Maximize or minimize None of these |
| 18 | s > t then | (s - t)<sup>2</sup>> (t - s)<sup>2</sup> (s - t)<sup>2</sup>< (t - s)<sup>2</sup> (s - t)<sup>2</sup>= (t - s)<sup>2</sup> None |
| 19 | ab > 0 and a > 0 then | a > b a < b a = b None |
| 20 | r + 3 >5 then which is true | r + 2 > 4 r + 2 < 4 r + 2 = 4 None |
| 21 | 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 x - y < -6 x - y > -6 None |
| 22 | The total cost of 2 apples and 3 oranges is $1.70, which of the following is true | The cost of one apple The cost of one orange Both have equal cost per item Cost of each single item can not be determined |
| 23 | p < r p > rr p + r < 0 p - r < 0 | |
| 24 | If -1 < x < 0, which of the following statements must be true? | x < x<sup>2</sup>< x<sup>3</sup> x < x<sup>3</sup>< x<sup>2</sup> x<sup>2</sup>< x<sup>3</sup>< x x<sup>2</sup>< x < x<sup>3</sup> |
| 25 | For which of the following ordered pairs (s, t) is s + t > 2 and s - t < -3? | (3, 2) (2, 3) (1, 8) (0, 3) |
| 26 | Which is in the solution set of 4x - 3y < 2 | (3, 0) (4, 1) (1, 3) None |
| 27 | 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 P(x, y) = 2x + 3y P(x, y) = x + y P(x, y) = 3x + 2y |
| 28 | A point of a solution region where two of its boundary lines intersect, is called | Boundary Inequality Half plane Vertex |
| 29 | Which is not a half plane | ax + by < c ax + by > c Both A and B None |
| 30 | If 4 - x >5, then | x > 1 x > -1 x < 1 x < -1 |
