ECAT Pre General Science Mathematics Chapter 21 Linear Inequalities and Linear Programming Online Test With Answers

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ECAT Pre General Science Mathematics Chapter 21 Linear Inequalities and Linear Programming Online Test

Sr. # Questions Answers Choice
1 The point (1,3) is one solution of 3x + 5y > 29 3x + 5y < 7 x + 2y < 4 x + 4y > 3
2 Optimal solution is found by evaluation the objective function at All point of feasible region Corner point Origin None
3 A function which is to be maximized or minimized is called an Explicit function Implicit function Objective function None
4 Each point of the feasible region is called Solution feasible solution Both a & b None
5 A point (x,y) which satisfy a linear inequality in two variables form its Solution Domain Range None
6 A point where two of its boundary lines intersect is called Corner point Feasible point Vertex Feasible solution
7 Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0 (1,4) (4,2) (3,1) (4,1)
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 (1,0) (0,4) (3,0) (8,0)
9 Sum of two quantities is at least 20 is denoted by x +y =20 x +y≥ 20 x +y≠ 20 x +y≤20
10 Maximum value of z =15x +20y subject to 3x+ 4y≤ 12,x,y≥ 0 is given by 46 60 50 70
11 The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is 120 100 140 160
12 The feasible region which can be enclosed within a circle is called Bounded region Convex region Unbounded region None
13 The graph of y < 2 is the Left half plane upper half plane Right half plane Lower half plane
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