[{"id":241918,"question":"-4 < y < 4 is the solution of the following:","choices":[{"text":"y = 5","value":"A"},{"text":"y = 3","value":"B"},{"text":"y = -4","value":"C"},{"text":"y = 4","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241917,"question":"The ordered pair _____ is a solution of the inequality x + 2y < 6.","choices":[{"text":"(3, 3)","value":"A"},{"text":"(1, 1)","value":"B"},{"text":"(4, 4)","value":"C"},{"text":"(5, 5)","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241916,"question":"","questionImage":"241916_637759375508797319-RQ.png","choices":[{"text":"(1, 1)","value":"A"},{"text":"(1, 3)","value":"B"},{"text":"(1, 4)","value":"C"},{"text":"(1, 5)","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241915,"question":"x = 4 is the solution of inequality:","choices":[{"text":"x + 3 > 0","value":"A"},{"text":"x - 3 < 0","value":"B"},{"text":"-2x + 3 > 0","value":"C"},{"text":"x + 3 < 0","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241914,"question":"(1, 0) is the solution of inequality :","choices":[{"text":"7x + 2y < 8","value":"A"},{"text":"x - 3y < 0","value":"B"},{"text":"3x + 5y > 6","value":"C"},{"text":"-3x + 5y > 2","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241913,"question":"A function, which is to be maximized or minimized is called an ________:","choices":[{"text":"Maximum function","value":"A"},{"text":"Objective funciton","value":"B"},{"text":"Minimum function","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241912,"question":"The feasible solution, which maximizes or minimizes the objective function, is called the _________:","choices":[{"text":"Maximum solution","value":"A"},{"text":"Optimal solution","value":"B"},{"text":"Minimum solutions","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241911,"question":"If the line segment obtained by joining any two points of a region lies entirely within the region, then the region is called _________:","choices":[{"text":"Maximum","value":"A"},{"text":"Vertex","value":"B"},{"text":"Minimum","value":"C"},{"text":"Convex","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":241910,"question":"The system of _________ involved in the problem concerned is called problem constraints:","choices":[{"text":"Linear inequalities","value":"A"},{"text":"Equations","value":"B"},{"text":"Linear equalities","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241909,"question":"There are _______ feasible solutions in the feasible region:","choices":[{"text":"Finitely","value":"A"},{"text":"Two","value":"B"},{"text":"Infinitely many","value":"C"},{"text":"Three","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241908,"question":"The feasible region is ________ if it can easily by enclosed within a circle.","choices":[{"text":"Bounded","value":"A"},{"text":"Exist","value":"B"},{"text":"Unbounded","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241907,"question":"A region, which is restricted to the ________ quadrant, is referred to as a feasible region for the set of given contraints.","choices":[{"text":"First","value":"A"},{"text":"Third","value":"B"},{"text":"Second","value":"C"},{"text":"Fourth","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":241906,"question":"A corner point is the point of intersection of:","choices":[{"text":"x-axis & y - axis","value":"A"},{"text":"Boundary lines","value":"B"},{"text":"Any two lines","value":"C"},{"text":"None","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241905,"question":"A point of a solution region where two of its boundary lines intersects is called a __________ point of the solution region:","choices":[{"text":"Maximum","value":"A"},{"text":"Corner","value":"B"},{"text":"Minimum","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241904,"question":"A line which divides a plane into two parts is called:","choices":[{"text":"Boundary point","value":"A"},{"text":"Boundary line","value":"B"},{"text":"Feasible line","value":"C"},{"text":"None","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241903,"question":"The graph of linear equation of the form ax + by = c is a line, which divides the plane into ______ disjoint regions, where a, b and c are constants and a, b are not both zero.","choices":[{"text":"One","value":"A"},{"text":"Two","value":"B"},{"text":"Thre","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241902,"question":"For different values of k, the equation 4x + 5y = k represents lines ______ to the line 4x + 5y = 0.","choices":[{"text":"Perpendicular","value":"A"},{"text":"Parallel","value":"B"},{"text":"Equal","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241901,"question":"","questionImage":"241901_637759368717777657-RQ.png","choices":[{"text":"At","value":"A"},{"text":"Not on","value":"B"},{"text":"On","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":241900,"question":"","questionImage":"241900_637759368130367300-RQ.png","choices":[{"text":"Left or right","value":"A"},{"text":"Upper or lower","value":"B"},{"text":"Open","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":241899,"question":"The graph of 2x + y < 2 is the open half plane which is ________ the origin side of 2x + y = 2:","choices":[{"text":"At","value":"A"},{"text":"Not an","value":"B"},{"text":"On","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":3}]